prompt_front: Now, answer the following question based on the text below, only give me the answer and do not output any other words.

Question: What are some potential applications of ferromagnetic semiconductors?

Read the following text and answer briefly.

Context 1: \section{introduction}
In the past few years, the synthesis of ferromagnetic semiconductors has become a major challenge for spintronics  Actually, growing a magnetic and semiconducting material could lead to promising advances like spin injection into non magnetic semiconductors, or electrical manipulation of carrier induced magnetism in magnetic semiconductors \cite{ohno00,Bouk02}  Up to now, major efforts have focused on diluted magnetic semiconductors (DMS) in which the host semiconducting matrix is randomly substituted by transition metal (TM) ions such as Mn, Cr, Ni, Fe or Co \cite{Diet02}  However Curie temperatures ($T_{C}$) in DMS remain rather low and TM concentrations must be drastically raised in order to increase $T_{C}$ up to room temperature  That usually leads to phase separation and the formation of secondary phases  It was recently shown that phase separation induced by spinodal decomposition could lead to a significant increase of $T_{C}$ \cite{Diet06,Fuku06}  For semiconductors showing $T_{C}$ higher than room temperature one can foresee the fabrication of nanodevices such as memory nanodots, or nanochannels for spin injection  Therefore, the precise control of inhomogeneities appears as a new challenge which may open a way to industrial applications of ferromagnetism in semiconductors 

The increasing interest in group-IV magnetic semiconductors can also be explained by their potential compatibility with the existing silicon technology  In 2002, carrier mediated ferromagnetism was reported in  MBE grown Ge$_{0 94}$Mn$_{0 06}$ films by Park \textit{et al } \cite{Park02}  The maximum critical temperature was 116 K  Recently many publications indicate a significant increase of $T_{C}$ in Ge$_{1-x}$Mn$_{x}$ material depending on growth conditions \cite{Pint05,Li05,tsui03}  Cho \textit{et al } reported a Curie temperature as high as 285 K \cite{Cho02}  
Taking into account the strong tendency of Mn ions to form intermetallic compounds in germanium, a detailed investigation of the nanoscale structure is required  Up to now, only a few studies have focused on the nanoscale composition in Ge$_{1-x}$Mn$_{x}$ films  Local chemical inhomogeneities have been recently reported by Kang \textit{et al } \cite{Kang05} who evidenced a micrometer scale segregation of manganese in large Mn rich stripes  Ge$_3$Mn$_5$ as well as Ge$_8$Mn$_{11}$ clusters embedded in a germanium matrix have been reported by many authors  However, Curie temperatures never exceed 300 K \cite{Bihl06,Morr06,Pass06,Ahle06}  Ge$_3$Mn$_5$ clusters exhibit a Curie temperature of 296 K \cite{Mass90}  This phase frequently observed in Ge$_{1-x}$Mn$_{x}$ films is the most stable (Ge,Mn) alloy  The other stable compound Ge$_8$Mn$_{11}$ has also been observed in nanocrystallites surrounded with pure germanium \cite{Park01}  Ge$_8$Mn$_{11}$ and Ge$_3$Mn$_5$ phases are ferromagnetic but their metallic character considerably complicates their potential use as spin injectors 
Recently, some new Mn-rich nanostructures have been evidenced in Ge$_{1-x}$Mn$_{x}$ layers  Sugahara \textit{et al } \cite{Sugh05} reported the formation of high Mn content (between 10 \% and 20 \% of Mn) amorphous Ge$_{1-x}$Mn$_x$ precipitates  in a Mn-free germanium matrix  Mn-rich coherent cubic clusters were observed by Ahlers \textit{et al } \cite{Ahle06} which exhibit a Curie temperatures below 200 K  Finally, high-$T_{C}$ ($>$ 400 K) Mn-rich nanocolumns have been evidenced \cite{Jame06} which could lead to silicon compatible room temperature operational devices \\
In the present paper, we investigate the structural and magnetic properties of Ge$_{1-x}$Mn$_x$ thin films for low growth temperatures ($<$ 200$^{\circ}$C) and low Mn concentrations (between 1 \% and 11 \%)  By combining TEM, x-Ray diffraction and SQUID magnetometry, we could identify different magnetic phases  We show that depending on growth conditions, we obtain either Mn-rich nanocolumns or Ge$_{3}$Mn$_{5}$ clusters embedded in a germanium matrix  We discuss the structural and magnetic properties of these nanostructures as a function of manganese concentration and growth temperature  We also discuss the magnetic anisotropy of nanocolumns and  
Ge$_3$Mn$_5$ clusters  

\section{Sample growth}

Growth was performed using solid sources molecular beam epitaxy (MBE) by co-depositing Ge and Mn evaporated from standard Knudsen effusion cells   Deposition rate was low ($\approx$ 0 2 \AA s$^{-1}$)  Germanium substrates were epi-ready Ge(001) wafers with a residual n-type doping and resistivity of 10$^{15}$ cm$^{-3}$ and 5 $\Omega cm$ respectively  After thermal desorption of the surface oxide, a 40 nm thick Ge buffer layer was grown at 250$^{\circ}$C, resulting in a 2 $\times$ 1 surface reconstruction as observed by reflection high energy electron diffraction (RHEED) (see Fig  1a)  Next, 80 nm thick Ge$_{1-x}$Mn$_{x}$ films were subsequently grown  at low substrate temperature (from 80$^{\circ}$C to 200$^{\circ}$C)  Mn content has been determined by x-ray fluorescence measurements performed on thick samples ($\approx$ 1 $\mu m$ thick) and complementary Rutherford Back Scattering (RBS) on thin Ge$_{1-x}$Mn$_{x}$ films grown on silicon  Mn concentrations range from 1 \% to 11\% Mn 

For Ge$_{1-x}$Mn$_{x}$ films grown at substrate temperatures below 180$^{\circ}$C, after the first monolayer (ML) deposition, the  2 $\times$ 1 surface reconstruction almost totally disappears  After depositing few MLs, a slightly diffuse 1 $\times$ 1 streaky RHEED pattern and a very weak 2 $\times$ 1 reconstruction (Fig  1b) indicate a predominantly two-dimensional growth  For growth temperatures above 180$^{\circ}$C additional spots appear in the RHEED pattern during the Ge$_{1-x}$Mn$_{x}$ growth (Fig  1c)  These spots may correspond to the formation of very small secondary phase crystallites  The nature of these crystallites will be discussed below 

Transmission electron microscopy (TEM) observations were performed using a JEOL 4000EX microscope with an acceleration voltage of 400 kV  Energy filtered transmission electron microscopy (EFTEM) was done using a JEOL 3010 microscope equipped with a Gatan Image Filter   Sample preparation was carried out by standard mechanical polishing and argon ion milling for cross-section investigations and plane views were prepared by wet etching with H$_3$PO$_4$-H$_2$O$_2$ solution \cite{Kaga82} 

\begin{figure}[htb]
    \center
    \includegraphics[width= 29\linewidth]{ /fig1a eps}
    \includegraphics[width= 29\linewidth]{ /fig1b eps}
    \includegraphics[width= 29\linewidth]{ /fig1c eps}
    \caption{RHEED patterns recorded during the growth of Ge$_{1-x}$Mn$_{x}$ films: (a) 2 $\times$ 1 surface reconstruction of the germanium buffer layer  (b) 1 $\times$ 1 streaky RHEED pattern obtained at low growth temperatures ($T_g<$180$^{\circ}$C)  (c) RHEED pattern of a sample grown at $T_g=$180$^{\circ}$C  The additional spots reveal the presence of Ge$_3$Mn$_5$ clusters at the surface of the film }
\label{fig1}
\end{figure}

\section{Structural properties \label{structural}}

\begin{figure}[htb]
    \center
	\includegraphics[width= 49\linewidth]{ /fig2a eps}
	\includegraphics[width= 49\linewidth]{ /fig2b eps}
	 \includegraphics[width= 49\linewidth]{ /fig2c eps}
	 \includegraphics[width= 49\linewidth]{ /fig2d eps}
    \caption{Transmission electron micrographs of a Ge$_{1-x}$Mn$_{x}$ film grown at 130$^{\circ}$C and containing 6 \% of manganese  (a) cross-section along the [110] axis : we clearly see the presence of nanocolumns elongated along the growth axis  (b) High resolution image of the interface between the Ge$_{1-x}$Mn$_{x}$ film and the Ge buffer layer  The Ge$_{1-x}$Mn$_{x}$ film exhibits the same diamond structure as pure germanium  No defect can be seen which could be caused by the presence of nanocolumns  (c) Plane view micrograph performed on the same sample confirms the columnar structure and gives the density and size distribution of nanocolumns  (d) Mn chemical map obtained by energy filtered transmission electron microcopy (EFTEM)  The background was carefully substracted from pre-edge images  Bright areas correspond to Mn-rich regions }
\label{fig2}
\end{figure}

In samples grown at 130$^{\circ}$C and containing 6 \% Mn, we can observe vertical elongated nanostructures \textit{i e } nanocolumns as shown in Fig  2a  Nanocolumns extend through the whole Ge$_{1-x}$Mn$_{x}$ film thickness  From the high resolution TEM image shown in Fig  2b, we deduce their average diameter around 3 nm  Moreover in Fig  2b, the interface between the Ge buffer layer and the Ge$_{1-x}$Mn$_{x}$ film is flat and no defect propagates from the interface into the film  The Ge$_{1-x}$Mn$_{x}$ film is a perfect single crystal in epitaxial relationship with the substrate  In Fig  2c is shown a plane view micrograph of the same sample confirming the presence of nanocolumns in the film  From this image, we can deduce the size and density of nanocolumns  The nanocolumns density is 13000 $\rm{\mu m}^{-2}$ with a mean diameter of 3 nm which is coherent with cross-section measurements  In order to estimate the chemical composition of these nanocolumns, we further performed chemical mapping using EFTEM  In Fig  2d we show a cross sectional Mn chemical map of the Ge$_{1-x}$Mn$_{x}$ film  This map shows that the formation of nanocolumns is a consequence of Mn segregation  Nanocolumns are Mn rich and the surrounding matrix is Mn poor  However, it is impossible to deduce the Mn concentration in Ge$_{1-x}$Mn$_{x}$ nanocolumns from this cross section  Indeed, in cross section observations, the columns diameter is much smaller than the probed film thickness and the signal comes from the superposititon of the Ge matrix and Mn-rich nanocolumns  In order to quantify Mn concentration inside the nanocolumns and inside the Ge matrix, EELS measurements (not shown here) have been performed in a plane view geometry \cite{Jame06}  These observations revealed that the matrix Mn content is below 1 \% (detection limit of our instrument)  Measuring the surface occupied by the matrix and the nanocolumns in plane view TEM images, and considering the average Mn concentration in the sample (6 \%), we can estimate the Mn concentration in the nanocolumns  The Mn concentration measured by EELS being between 0\% and 1\%, we can conclude that the Mn content in the nanocolumns is between 30 \% and 38 \% \\
For samples grown between 80$^\circ$C and 150$^\circ$C cross section and plane view TEM observations reveal the presence of Mn rich nanocolumns surrounded with a Mn poor Ge matrix  In order to investigate the influence of Mn concentration on the structural properties of Ge$_{1-x}$Mn$_{x}$ films, ten samples have been grown at 100$^\circ$C and at 150$^\circ$C with Mn concentrations of 1 3 \%, 2 3 \%, 4 \%, 7 \% and 11 3 \%  Their structural properties have been investigated by plane view TEM observations  

\begin{figure}[htb]
    \center
    \includegraphics[width= 98\linewidth]{ /fig3a eps}
	\includegraphics[width= 45\linewidth]{ /fig3b eps}
		\includegraphics[width= 45\linewidth]{ /fig3c eps}
    \caption{Nanocolumns size and density as a function of growth conditions  Samples considered have been grown at 100$^{\circ}$C and 150$^{\circ}$C respectively  (a) Mn concentration dependence of the size distribution  (b) columns density as a function of Mn concentration  (c) Volume fraction of the nanocolumns as a function of Mn concentration }
 \label{fig3}
\end{figure}

For samples grown at 100$^\circ$C with Mn concentrations below 5 \% the nanocolumns mean diameter is 1 8$\pm$0 2 nm  The evolution of columns density as a fonction of Mn concentration is reported in figure 3b  By increasing the Mn concentration from 1 3 \% to 4 \% we observe a significant increase of the columns density from 13000 to 30000 $\rm{\mu m}^{-2}$  For Mn concentrations higher than 5 \% the density seems to reach a plateau corresponding to 35000 $\rm{\mu m}^{-2}$ and their diameter slightly increases from 1 8 nm at 4 \% to 2 8 nm at 11 3 \%  By plotting the volume fraction occupied by the columns in the film as a function of Mn concentration, we observe a linear dependence for Mn contents below 5 \%  The non-linear behavior above 5 \% may indicate that the mechanism of Mn incorporation is different in this concentration range, leading to an increase of Mn concentration in the columns or in the matrix  For samples grown at 100$^\circ$C, nanocolumns are always fully coherent with the surrounding matrix (Fig  4a)  

Increasing the Mn content in the samples grown at 150$^\circ$C from 1 3 \% to 11 3 \% leads to a decrease of the columns density (fig 3b)  Moreover, their average diameter increases significantly and size distributions become very broad (see Fig  3a)  For the highest Mn concentration (11 3 \%) we observe the coexistence of very small columns with a diameter of 2 5 nm and very large columns with a diameter of 9 nm  In samples grown at 150$^\circ$C containing 11 3 \% of Mn, the crystalline structure of nanocolumns is also highly modified  In plane view TEM micrographs, one can see columns exhibiting several different crystalline structures  We still observe some columns which are fully coherent with the Ge matrix like in the samples grown at lower temperature  Nevertheless, observations performed on these samples grown at 150$^\circ$C and with 11 3\% Mn reveal some uniaxially \cite{Jame06} or fully relaxed columns exhibiting a misfit of 4 \% between the matrix and the columns and leading to misfit dislocations at the interface between the column and the matrix (see fig  4b)  Thus we can conclude that coherent columns are probably in strong compression and the surrounding matrix in tension  On the same samples (T$_g$=150$^{\circ}$C, 11 3\% Mn), we also observe a large number of highly disordered nanocolumns leading to an amorphous like TEM contrast(fig  4c) 

\begin{figure}[htb]
    \center
   \includegraphics[width= 31\linewidth]{ /fig4a eps}
	\includegraphics[width= 31\linewidth]{ /fig4b eps}
	\includegraphics[width= 31\linewidth]{ /fig4c eps}
    \caption{Plane view high resolution transmission electron micrographs of different types of nanocolumns : (a) typical structure of a column grown at 100$^{\circ}$C  The crystal structure is exactly the same as germanium   (b) Partially relaxed nanocolumn  One can see dislocations at the interface between the columns and the matrix leading to stress relaxation  (c) Amorphous nanocolumn  These columns are typical in samples grown at 150$^{\circ}$C with high Mn contents }
 \label{fig4}
\end{figure}

In conclusion, we have evidenced a complex mechanism of Mn incorporation in Mn doped Ge films grown at low temperature  In particular Mn incorporation is highly inhomogeneous  For very low growth temperatures (below 120$^\circ$C) the diffusion of Mn atoms leads to the formation of Mn rich, vertical nanocolumns  Their density mostly depends on Mn concentration and their mean diameter is about 2 nm  These results can be compared with the theoretical predictions of Fukushima \textit{et al } \cite{Fuku06}: they proposed a model of spinodal decomposition in (Ga,Mn)N and (Zn,Cr)Te based on layer by layer growth conditions and a strong pair attraction between Mn atoms which leads to the formation of nanocolumns  This model may also properly describe the formation of Mn rich nanocolumns in our samples  Layer by layer growth conditions can be deduced from RHEED pattern evolution during growth  For all the samples grown at low temperature, RHEED observations clearly indicate two-dimensional growth  Moreover, Ge/Ge$_{1-x}$Mn$_{x}$/Ge heterostructures have been grown and observed by TEM (see Fig  5)  Ge$_{1-x}$Mn$_{x}$/Ge (as well as Ge/Ge$_{1-x}$Mn$_{x}$) interfaces are very flat and sharp thus confirming a two-dimensional, layer by layer growth mode  Therefore we can assume that the formation of Mn rich nanocolumns is a consequence of 2D-spinodal decomposition 

\begin{figure}[htb]
    \center
	\includegraphics[width= 7\linewidth]{ /fig5 eps}
    \caption{Cross section high resolution micrograph of a Ge/Ge$_{1-x}$Mn$_{x}$/Ge/Ge$_{1-x}$Mn$_{x}$/Ge heterostructure  This sample has been grown at 130 $^{\circ}$C with 6\% Mn  Ge$_{1-x}$Mn$_{x}$ layers are 15 nm thick and Ge spacers 5 nm thick  We clearly see the sharpness of both Ge$_{1-x}$Mn$_{x}$/Ge and Ge/Ge$_{1-x}$Mn$_{x}$ interfaces  Mn segregation leading to the columns formation already takes place in very thin Ge$_{1-x}$Mn$_{x}$ films }
\label{fig5}
\end{figure}

For growth temperatures higher than 160$^\circ$C, cross section TEM and EFTEM observations (not shown here) reveal the coexistence of two Mn-rich phases: nanocolumns and Ge$_{3}$Mn$_{5}$ nanoclusters embedded in the germanium matrix  A typical high resolution TEM image is shown in figure 6  
Ge$_{3}$Mn$_{5}$ clusters are not visible in RHEED patterns for temperatures below 180$^\circ$C  To investigate the nature of these clusters, we performed x-ray diffraction in $\theta-2\theta$ mode  Diffraction scans were acquired on a high resolution diffractometer using the copper K$_\alpha$ radiation and on the GMT station of the BM32 beamline at the European Synchrotron Radiation Facility (ESRF)  Three samples grown at different temperatures and/or annealed at high temperature were investigated  The two first samples are Ge$_{1-x}$Mn$_{x}$ films grown at 130$^\circ$C and 170$^\circ$C respectively  The third one has been grown at 130$^\circ$C and post-growth annealed at 650$^\circ$C  By analysing x-ray diffraction spectra, we can evidence two different crystalline structures  For the sample grown at 130$^\circ$C, the $\theta-2\theta$ scan only reveals the (004) Bragg peak of the germanium crystal, confirming the good epitaxial relationship between the layer and the substrate, and the absence of secondary phases in the film in spite of a high dynamics of the order of 10$^7$  For both samples grown at 170$^\circ$C and annealed at 650$^\circ$C, $\theta-2\theta$ spectra are identical  In addition to the (004) peak of germanium, we observe three additional weak peaks  The first one corresponds to the (002) germanium forbidden peak which probably comes from a small distortion of the germanium crystal, and the two other peaks are respectively attributed to the (002) and (004) Bragg peaks of a secondary phase  The $c$ lattice parameter of Ge$_3$Mn$_5$ hexagonal crystal is 5 053 \AA \ \cite{Fort90} which is in very good agreement with the values obtained from diffraction data for both (002) and (004) lines assuming that the $c$ axis of Ge$_3$Mn$_5$ is along the [001] direction of the Ge substrate 

\begin{figure}[htb]
    \center
	\includegraphics[width= 7\linewidth]{ /fig6 eps}
	\caption{Cross section high resolution transmission electron micrograph of a sample grown at 170$^{\circ}$C  We observe the coexistence of two different Mn-rich phases: Ge$_{1-x}$Mn$_{x}$ nanocolumns and Ge$_3$Mn$_5$ clusters }
\label{fig6}
\end{figure}

In summary, in a wide range of growth temperatures and Mn concentrations, we have evidenced a two-dimensional spinodal decomposition leading to the formation of Mn-rich nanocolumns in Ge$_{1-x}$Mn$_{x}$ films  This decomposition is probably the consequence of: $(i)$ a strong pair attraction between Mn atoms, $(ii)$ a strong surface diffusion of Mn atoms in germanium even at low growth temperatures and $(iii)$ layer by layer growth conditions  We have also investigated the influence of growth parameters on the spinodal decomposition: at low growth temperatures (100$^{\circ}$C), increasing the Mn content leads to higher columns densities while at higher growth temperatures (150$^{\circ}$C), the columns density remains nearly constant whereas their size increases drastically  By plotting the nanocolumns density as a function of Mn content, we have shown that the mechanism of Mn incorporation in Ge changes above 5 \% of Mn  Finally, using TEM observations and x-ray diffraction, we have shown that Ge$_3$Mn$_5$ nanoclusters start to form at growth temperatures higher than 160$^\circ$C 

\section{Magnetic properties \label{magnetic}}

We have thoroughly investigated the magnetic properties of thin Ge$_{1-x}$Mn$_{x}$ films for different growth temperatures and Mn concentrations  In this section, we focus on Mn concentrations between 2 \% and 11 \%  We could clearly identify four different magnetic phases in Ge$_{1-x}$Mn$_{x}$ films : diluted Mn atoms in the germanium matrix, low $T_{C}$ nanocolumns ($T_{C}$ $\leq$ 170 K), high $T_{C}$ nanocolumns ($T_{C}$ $\geq$ 400 K) and Ge$_{3}$Mn$_{5}$ clusters ($T_{C}$ $\thickapprox$ 300 K)  The relative weight of each phase clearly depends on the growth temperature and to a lesser extend on Mn concentration  For low growth temperature ($<$ 120$^{\circ}$C), we show that nanocolumns are actually made of four uncorrelated superparamagnetic nanostructures  Increasing T$_{g}$ above 120$^{\circ}$C, we first obtain continuous columns exhibiting low $T_{C}$ ($<$ 170 K) and high $T_{C}$ ($>$ 400 K) for $T_{g}\approx$130$^{\circ}$C  The larger columns become ferromagnetic \textit{i e } $T_{B}>T_{C}$  Meanwhile Ge$_{3}$Mn$_{5}$ clusters start to form  Finally for higher $T_{g}$, the magnetic contribution from Ge$_{3}$Mn$_{5}$ clusters keeps increasing while the nanocolumns signal progressively disappears 

\begin{figure}[htb]
\center
   \includegraphics[width= 6\linewidth]{ /fig7a eps}
   \includegraphics[width= 3\linewidth]{ /fig7b eps}
\caption{(a) Temperature dependence of the saturation magnetization (in $\mu_{B}$/Mn) of Ge$_{0 93}$Mn$_{0 07}$ samples for different growth temperatures  The magnetic field is applied in the film plane  The inset shows the temperature dependence of a sample grown at 130$^{\circ}$C and annealed at 650$^{\circ}$C for 15 minutes  After annealing, the magnetic signal mostly arises from Ge$_{3}$Mn$_{5}$ clusters  (b) ZFC-FC measurements performed on Ge$_{0 93}$Mn$_{0 07}$ samples for different growth temperatures  The in-plane applied field is 0 015 T  The ZFC peak at low temperature ($\leq$150 K) can be attributed to the superparamagnetic nanocolumns  This peak widens and shifts towards high blocking temperatures when increasing growth temperature  The second peak above 150 K in the ZFC curve which increases with increasing growth temperature is attributed to superparamagnetic Ge$_{3}$Mn$_{5}$ clusters  The increasing ZFC-FC irreversibility at $\approx$ 300 K is due to the increasing contribution from large ferromagnetic Ge$_{3}$Mn$_{5}$ clusters  The nanocolumns signal completely vanishes after annealing at 650$^{\circ}$C for 15 minutes }
\label{fig7}
\end{figure}

In Fig  7a, the saturation magnetization at 2 Tesla in $\mu_{B}$/Mn of Ge$_{1-x}$Mn$_{x}$ films with 7 \% of Mn is plotted as a function of temperature for different growth temperatures ranging from $T_{g}$=90$^{\circ}$C up to 160$^{\circ}$C  The inset shows the temperature dependence of the magnetization at 2 Tesla after annealing at 650$^{\circ}$C during 15 minutes  Figure 7b displays the corresponding Zero Field Cooled - Field Cooled (ZFC-FC) curves recorded at 0 015 Tesla  In the ZFC-FC procedure, the sample is first cooled down to 5 K in zero magnetic field and the susceptibility is subsequently recorded at 0 015 Tesla while increasing the temperature up to 400 K (ZFC curve)  Then, the susceptibility is recorded under the same magnetic field while decreasing the temperature down to 5 K (FC curve)  Three different regimes can be clearly distinguished  \\
For $T_{g}\leq$120$^{\circ}$C, the temperature dependence of the saturation magnetization remains nearly the same while increasing growth temperature  The overall magnetic signal vanishing above 200 K is attributed to the nanocolumns whereas the increasing signal below 50 K originates from diluted Mn atoms in the surrounding matrix  The Mn concentration dependence of the saturation magnetization is displayed in figure 8  For the lowest Mn concentration (4 \%), the contribution from diluted Mn atoms is very high and drops sharply for higher Mn concentrations (7 \%, 9 \% and 11 3 \%)  Therefore the fraction of Mn atoms in the diluted matrix decreases with Mn concentration probably because Mn atoms are more and more incorporated in the nanocolumns  In parallel, the Curie temperature of nanocolumns increases with the Mn concentration reaching 170 K for 11 3 \% of Mn  This behavior may be related to different Mn compositions and to the increasing diameter of nanocolumns (from 1 8 nm to 2 8 nm) as discussed in section \ref{structural} 

\begin{figure}[htb]
\center
   \includegraphics[width= 7\linewidth]{ /fig8 eps}
    \caption{Temperature dependence of the saturation magnetization (in $\mu_{B}$/Mn) of Ge$_{1-x}$Mn$_{x}$ films grown at 100$^{\circ}$C plotted for different Mn concentrations: 4 1 \%; 7 \%; 8 9 \% and 11 3 \% }
\label{fig8}
\end{figure}

ZFC-FC measurements show that the nanocolumns are superparamagnetic  The magnetic signal from the diluted Mn atoms in the matrix is too weak to be detected in susceptibility measurements at low temperature  In samples containing 4 \% of Mn, ZFC and FC curves superimpose down to low temperatures  As we do not observe hysteresis loops at low temperature, we believe that at this Mn concentration nanocolumns are  superparamagnetic in the whole temperature range and the blocking temperature cannot be measured  For higher Mn contents, the ZFC curve exhibits a very narrow peak with a maximum at the blocking temperature of 15 K whatever the Mn concentration and growth temperature (see Fig  7b)  Therefore the anisotropy barrier distribution is narrow and assuming that nanocolumns have the same magnetic anisotropy, this is a consequence of the very narrow size distribution of the nanocolumns as observed by TEM  To probe the anisotropy barrier distribution, we have performed ZFC-FC measurements but instead of warming the sample up to 400 K, we stopped at a lower temperature $T_{0}$  

\begin{figure}[htb]
\center
   \includegraphics[width= 6\linewidth]{ /fig9 eps}
\caption{Schematic drawing of the anisotropy barrier distribution n($E_{B}$) of superparamagnetic nanostructures  If magnetic anisotropy does not depend on the particle size, this distribution exactly reflects their magnetic size distribution  In this drawing the blocking temperature ($T_{B}$) corresponds to the distribution maximum  At a given temperature $T_{0}$ such that 25$k_{B}T_{0}$ falls into the anisotropy barrier distribution, the largest nanostructures with an anisotropy energy larger than 25$k_{B}T_{0}$ are blocked whereas the others are superparamagnetic }
\label{fig9}
\end{figure}

If this temperature falls into the anisotropy barrier distribution as depicted in Fig  9, the FC curve deviates from the ZFC curve  Indeed the smallest nanostructures have become superparamagnetic at $T_{0}$ and when decreasing again the temperature, their magnetization freezes along a direction close to the magnetic field and the FC susceptibility is higher than the ZFC susceptibility  Therefore any irreversibility in this procedure points at the presence of superparamagnetic nanostructures  The results are given in Fig  10a  ZFC and FC curves clearly superimpose up to $T_{0}$=250 K thus the nanocolumns are superparamagnetic up to their Curie temperature and no Ge$_{3}$Mn$_{5}$ clusters could be detected  Moreover for low $T_{0}$ values, a peak appears at low temperature in FC curves which evidences strong antiferromagnetic interactions between the nanocolumns \cite{Chan00} 

\begin{figure}[htb]
\center
    \includegraphics[width= 35\linewidth]{ /fig10a eps}
    \includegraphics[width= 63\linewidth]{ /fig10b eps}
\caption{(a) ZFC-FC measurements performed on a Ge$_{0 887}$Mn$_{0 113}$ sample grown at 115$^{\circ}$C  The in-plane applied field is 0 015 T  Magnetization was recorded up to different T$_{0}$ temperatures: 30 K, 50 K, 100 K, 150 K, 200 K and 250 K  Curves are shifted up for more clarity  (b) ZFC-FC curves for in-plane and out-of-plane applied fields (0 015 T) }
\label{fig10}
\end{figure}

In order to derive the magnetic size and anisotropy of the Mn-rich nanocolumns embedded in the Ge matrix, we have fitted the inverse normalized in-plane (resp  out-of-plane) susceptibility: $\chi_{\parallel}^{-1}$ (resp  $\chi_{\perp}^{-1}$)  The corresponding experimental ZFC-FC curves are reported in Fig  10b  Since susceptibility measurements are performed at low field (0 015 T), the matrix magnetic signal remains negligible  In order to normalize susceptibility data, we need to divide the magnetic moment by the saturated magnetic moment recorded at 5 T  However the matrix magnetic signal becomes very strong at 5 T and low temperature so that we need to subtract it from the saturated magnetic moment using a simple Curie function  From Fig  10b, we can conclude that nanocolumns are isotropic  Therefore to fit experimental data we use the following expression well suited for isotropic systems or cubic anisotropy: $\chi_{\parallel}^{-1}= \chi_{\perp}^{-1}\approx 3k_{B}T/M(T)+\mu_{0}H_{eff}(T)$  $k_{B}$ is the Boltzmann constant, $M=M_{s}v$ is the magnetic moment of a single-domain nanostructure (macrospin approximation) where $M_{s}$ is its magnetization and $v$ its volume  The in-plane magnetic field is applied along $[110]$ or $[-110]$ crystal axes  Since the nanostructures Curie temperature does not exceed 170 K, the temperature dependence of the saturation magnetization is also accounted for by writting $M(T)$  Antiferromagnetic interactions between nanostructures are also considered by adding an effective field estimated in the mean field approximation \cite{Fruc02}: $\mu_{0}H_{eff}(T)$ 
The only fitting parameters are the maximum magnetic moment (\textit{i e } at low temperature) per nanostructure: $M$ (in Bohr magnetons $\mu_{B}$) and the maximum interaction field (\textit{i e } at low temperature): $\mu_{0}H_{eff}$ 

\begin{figure}[htb]
\center
   \includegraphics[width= 7\linewidth]{ /fig11 eps}
\caption{Temperature dependence of the inverse in-plane (open circles) and out-of-plane (open squares) normalized susceptibilities of a Ge$_{0 887}$Mn$_{0 113}$ sample grown at 115$^{\circ}$C  Fits were performed assuming isotropic nanostructures or cubic anisotropy  Dashed line is for in-plane susceptibility and solid line for out-of-plane susceptibility }
\label{fig11}
\end{figure}

In Fig  11, the best fits lead to $M\approx$1250 $\mu_{B}$ and $\mu_{0}H_{eff}\approx$102 mT for in-plane susceptibility and $M\approx$1600 $\mu_{B}$ and $\mu_{0}H_{eff}\approx$98 mT for out-of-plane susceptibility  It gives an average magnetic moment of 1425 $\mu_{B}$ per column and an effective interaction field of 100 mT  Using this magnetic moment and its temperature dependence, magnetization curves could be fitted using a Langevin function and $M(H/T)$ curves superimpose for $T<$100 K  However, from the saturated magnetic moment of the columns and their density (35000 $\rm{\mu m}^{-2}$), we find almost 6000 $\mu_{B}$ per column  Therefore, for low growth temperatures, we need to assume that nanocolumns are actually made of almost four independent elongated magnetic nanostructures  The effective field for antiferromagnetic interactions between nanostructures estimated from the susceptibility fits is at least one order of magnitude larger than what is expected from pure magnetostatic coupling  This difference may be due to either an additional antiferromagnetic coupling through the matrix which origin remains unexplained or to the mean field approximation which is no more valid in this strong coupling regime  As for magnetic anisotropy, the nanostructures behave as isotropic magnetic systems or exhibit a cubic magnetic anisotropy  First we can confirm that nanostructures are not amorphous otherwise shape anisotropy would dominate leading to out-of-plane anisotropy  We can also rule out a random distribution of magnetic easy axes since the nanostructures are clearly crystallized in the diamond structure and would exhibit at least a cubic anisotropy (except if the random distribution of Mn atoms within the nanostructures can yield random easy axes)  Since the nanostructures are in strong in-plane compression (their lattice parameter is larger than the matrix one), the cubic symmetry of the diamond structure is broken and magnetic cubic anisotropy is thus unlikely  We rather believe that out-of-plane shape anisotropy is nearly compensated by in-plane magnetoelastic anisotropy due to compression leading to a \textit{pseudo} cubic anisotropy  From the blocking temperature (15 K) and the magnetic volume of the nanostructures , we can derive their magnetic anisotropy constant using $Kv=25k_{B}T_{B}$: K$\approx$10 kJ m$^{-3}$ which is of the same order of magnitude as shape anisotropy 

\begin{figure}[htb]
\center
    \includegraphics[width= 35\linewidth]{ /fig12a eps}
    \includegraphics[width= 63\linewidth]{ /fig12b eps} 
\caption{(a) ZFC-FC measurements performed on a Ge$_{0 93}$Mn$_{0 07}$ sample grown at 122$^{\circ}$C  The in-plane applied field is 0 015 T  Magnetization was recorded up to different T$_{0}$ temperatures: 50 K, 100 K, 150 K, 200 K and 250 K  Curves are shifted up for more clarity  (b) ZFC-FC curves for in-plane and out-of-plane applied fields  (0 015 T) }
\label{fig12}
\end{figure}

For growth temperatures $T_{g}\geq$120$^{\circ}$C and Mn concentrations $\geq$ 7 \%, samples exhibit a magnetic signal above 200 K corresponding to Ge$_{3}$Mn$_{5}$ clusters (see Fig  7a)  As we can see, SQUID measurements are much more sensitive to the presence of Ge$_{3}$Mn$_{5}$ clusters, even at low concentration, than TEM and x-ray diffraction used in section \ref{structural}  We also observe a sharp transition in the ZFC curve (see Fig  7b, Fig  12a and 12b): the peak becomes very large and is shifted towards high blocking temperatures (the signal is maximum at $T=$23 K)  This can be easily understood as a magnetic percolation of the four independent nanostructures obtained at low growth temperatures into a single magnetic nanocolumn  Therefore the magnetic volume increases sharply as well as blocking temperatures  At the same time, the size distribution widens as observed in TEM  In Fig  12a, we have performed ZFC-FC measurements at different $T_{0}$ temperatures  The ZFC-FC irreversibility is observed up to the Curie temperature of $\approx$120 K meaning that a fraction of nanocolumns is ferromagnetic (\textit{i e } $T_{B}\geq T_{C}$) 
In Fig  12b, in-plane and out-of-plane ZFC curves nearly superimpose for $T\leq$150 K due to the isotropic magnetic behavior of the nanocolumns: in-plane magnetoelastic anisotropy is still compensating out-of-plane shape anisotropy  Moreover the magnetic signal above 150 K corresponding to Ge$_{3}$Mn$_{5}$ clusters that start to form in this growth temperature range is strongly anisotropic  This perpendicular anisotropy confirms the epitaxial relation: (0002) Ge$_{3}$Mn$_{5}$ $\parallel$ (002) Ge discussed in Ref \cite{Bihl06}  The magnetic easy axis of the clusters lies along the hexagonal $c$-axis which is perpendicular to the film plane 

\begin{figure}[ht]
\center
   \includegraphics[width= 35\linewidth]{ /fig13a eps}
   \includegraphics[width= 63\linewidth]{ /fig13b eps} 
\caption{(a) ZFC-FC measurements performed on a Ge$_{0 887}$Mn$_{0 113}$ sample grown at 145$^{\circ}$C  The in-plane applied field is 0 015 T  Magnetization was recorded up to different T$_{0}$ temperatures: 50 K, 100 K, 150 K, 200 K, 250 K and 300 K  Curves are shifted up for more clarity  (b) ZFC-FC curves for in-plane and out-of-plane applied fields (0 015 T) }
\label{fig13}
\end{figure}

For growth temperatures $T_{g}\geq$145$^{\circ}$C the cluster magnetic signal dominates (Fig  13b)  Superparamagnetic nanostructures are investigated performing ZFC-FC measurements at different $T_{0}$ temperatures (Fig  13a)  The first ZFC peak at low temperature \textit{i e } $\leq$ 150 K is attributed to  low-$T_{C}$ nanocolumns ($T_{C}\approx$130 K)  This peak is wider than for lower growth temperatures and its maximum is further shifted up to 30 K  These results are in agreement with TEM observations: increasing $T_{g}$ leads to larger nanocolumns (\textit{i e } higher blocking temperatures) and wider size distributions  ZFC-FC irreversibility is observed up to the Curie temperature due to the presence of ferromagnetic columns  The second peak above 180 K in the ZFC curve is attributed to Ge$_{3}$Mn$_{5}$ clusters and the corresponding ZFC-FC irreversibility persisting up to 300 K means that some clusters are ferromagnetic  We clearly evidence the out-of-plane anisotropy of Ge$_{3}$Mn$_{5}$ clusters and the isotropic magnetic behavior of nanocolumns (Fig  13b)  In this growth temperature range, we have also investigated the Mn concentration dependence of magnetic properties  

\begin{figure}[ht]
\center
    \includegraphics[width= 49\linewidth]{ /fig14a eps}
    \includegraphics[width= 49\linewidth]{ /fig14b eps} 
\caption{Temperature dependence of the saturation magnetization (in $\mu_{B}$/Mn) of Ge$_{1-x}$Mn$_{x}$ films grown at 150$^{\circ}$C plotted for different Mn concentrations: 2 3 \%; 4 \%; 7 \%; 9 \%; 11 3 \%  (b) ZFC-FC measurements performed on Ge$_{1-x}$Mn$_{x}$ films grown at 150$^{\circ}$C  The in-plane applied field is 0 025 T for 2 3 \% and 4 \% and 0 015 T for 8 \% and 11 3 \%  }
\label{fig14}
\end{figure}

In Fig  14a, for low Mn concentrations (2 3 \% and 4 \%) the contribution from diluted Mn atoms in the germanium matrix to the saturation magnetization is very high and nearly vanishes for higher Mn concentrations (7 \%, 9 \% and 13 \%) as observed for low growth temperatures  Above 7 \%, the magnetic signal mainly comes from nanocolumns and Ge$_{3}$Mn$_{5}$ clusters  We can derive more information from ZFC-FC measurements (Fig  14b)  Indeed, for 2 3 \% of Mn, ZFC and FC curves nearly superimpose down to low temperature meaning that nanocolumns are superparamagnetic in the whole temperature range  Moreover the weak irreversibility arising at 300 K  means that some Ge$_{3}$Mn$_{5}$ clusters have already formed in the samples even at very low Mn concentrations  For 4 \% of Mn, we can observe a peak with a maximum at the blocking temperature (12 K) in the ZFC curve  We can also derive the Curie temperature of nanocolumns: $\approx$45 K  The irresversibility arising at 300 K still comes from Ge$_{3}$Mn$_{5}$ clusters  Increasing the Mn concentration above 7 \% leads to: higher blocking temperatures (20 K and 30 K) due to larger nanocolumns and wider ZFC peaks due to wider size distributions in agreement with TEM observations (see Fig  3a)  Curie temperatures also increase (110 K and 130 K) as well as the contribution from Ge$_{3}$Mn$_{5}$ clusters \\
Finally when increasing $T_{g}$ above 160$^{\circ}$C, the nanocolumns magnetic signal vanishes and only Ge$_{3}$Mn$_{5}$ clusters and diluted Mn atoms coexist  The overall magnetic signal becomes comparable to the one measured on annealed samples in which only Ge$_{3}$Mn$_{5}$ clusters are observed by TEM (see Fig  7a) \\
The magnetic properties of high-$T_{C}$ nanocolumns obtained for $T_{g}$ close to 130$^{\circ}$C are discussed in detail in Ref \cite{Jame06} \\
In conclusion, at low growth temperatures ($T_{g}\leq$120$^{\circ}$C), nanocolumns are made of almost 4 independent elongated magnetic nanostructures  For $T_{g}\geq$120$^{\circ}$C, these independent nanostructures percolate into a single nanocolumn sharply leading to higher blocking temperatures  Increasing $T_{g}$ leads to larger columns with a wider size distribution as evidenced by ZFC-FC measurements and given by TEM observations  In parallel, some Ge$_{3}$Mn$_{5}$ clusters start to form and their contribution increases when increasing $T_{g}$  Results on magnetic anisotropy seems counter-intuitive  Indeed Ge$_{3}$Mn$_{5}$ clusters exhibit strong out-of-plane anisotropy whereas nanocolumns which are highly elongated magnetic structures are almost isotropic  This effect is probably due to compensating in-plane magnetoelastic coupling (due to the columns compression) and out-of-plane shape anisotropy  

\section{Conclusion}

In this paper, we have investigated the structural and magnetic properties of thin Ge$_{1-x}$Mn$_{x}$ films grown by low temperature molecular beam epitaxy  A wide range of growth temperatures and Mn concentrations have been explored  All the samples contain Mn-rich nanocolumns as a consequence of 2D-spinodal decomposition  However their size, crystalline structure and magnetic properties depend on growth temperature and Mn concentration  For low growth temperatures, nanocolumns are very small (their diameter ranges between 1 8 nm for 1 3 \% of Mn and 2 8 nm for 11 3 \% of Mn), their Curie temperature is rather low ($<$ 170 K) and they behave as almost four uncorrelated superparamagnetic nanostructures  Increasing Mn concentration leads to higher columns densities while diameters remain nearly unchanged  For higher growth temperatures, the nanocolumns mean diameter increases and their size distribution widens  Moreover the 4 independent magnetic nanostructures percolate into a single magnetic nanocolumn  Some columns are ferromagnetic even if Curie temperatures remain quite low  In this regime, increasing Mn concentration leads to larger columns while their density remains nearly the same  In parallel, Ge$_{3}$Mn$_{5}$ nanoclusters start to form in the film with their $c$-axis perpendicular to the film plane  In both temperature regimes, the Mn incorporation mechanism in the nanocolumns and/or in the matrix changes above 5 \% of Mn and nanocolumns exhibit an isotropic magnetic behaviour due to the competing effects of out-of-plane shape anisotropy and in-plane magnetoelastic coupling  Finally for a narrow range of growth temperatures around 130$^{\circ}$C, nanocolumns exhibit Curie temperatures higher than 400 K  Our goal is now to investigate the crystalline structure inside the nanocolumns, in particular the position of Mn atoms in the distorted diamond structure, which is essential to understand magnetic and future transport properties in Ge$_{1-x}$Mn$_{x}$ films 

\section{Aknowledgements}
The authors would like to thank Dr  F  Rieutord for grazing incidence x-ray diffraction measurements performed on the GMT station of BM32 beamline at the European Synchrotron Radiation Facility 


Context 3: Paper Info

Title: CONTOUR COMPLETION USING DEEP STRUCTURAL PRIORS
Publish Date: 9 Feb 2023
Author List: Ali Shiraee, Morteza Rezanejad, Mohammad Khodadad, Dirk Walther, Hamidreza Mahyar

Figure

Figure 1: Just by looking at subfigure (a), we, as humans, can easily perceive a shape like the one in subfigure (b) This is an extraordinary capability of our human brain and in this paper, we tried to see whether convolutional neural networks can show such capabilities 
Figure 2: The trajectory from random noise X N to the incomplete image X I in image space The network will pass a completed version of the image, X C , throughout this trajectory 
Figure 4: This figure shows our iterative process to complete the fragmented contours of an image given as input to our pipeline 
Figure 5: This example shows how different scores change throughout a single run All three scores change in the range of [0, 100] Our goal is to maximize reconstruction_score and minimize the overfit_score, but we should consider that the minimization lower bound is data dependent and is not zero 
Figure 6: Evolutionary process of the deep structure prior The right column shows the incomplete shapes given to the model and the rest of the columns show how the model is overfitting gradually to produce the incomplete shapes In each column, we are showing an intermediate iteration of this process The loss-term setup enables our pipeline to let the completed image appears during this iterative process 
Average MSE and IoU values between the incomplete (Raw) images, the output of DIP and DSP methods, and ground truth for each image are provided in this table 
For this experiment, we ran the model over a subset of complex dataset with 500 incomplete images at various levels of alpha for 250 iterations After the image completion is done, we compared the evaluation metrics between the completed image and the ground truth to examine the performance of the model for different values of alpha 
In this table, we show the effect of the receptive filter size on our algorithm's capability to fill in bigger gap sizes The numbers in this table are showing the percentage of the time that DIP was successful to complete shapes with each gap size and corresponding receptive field size As predicted, the bigger the filter size, the more successful the algorithm is in filling in the gaps 

abstract

Humans can easily perceive illusory contours and complete missing forms in fragmented shapes  This work investigates whether such capability can arise in convolutional neural networks (CNNs) using deep structural priors computed directly from images  In this work, we present a framework that completes disconnected contours and connects fragmented lines and curves 
In our framework, we propose a model that does not even need to know which regions of the contour are eliminated  We introduce an iterative process that completes an incomplete image and we propose novel measures that guide this to find regions it needs to complete  Our model trains on a single image and fills in the contours with no additional training data 
Our work builds a robust framework to achieve contour completion using deep structural priors and extensively investigate how such a model could be implemented 

Introduction

The human visual system is used to seeing incomplete outlines  Our brains can effortlessly group visual elements and fragmented contours that seem to be connected to each other  This power enables us to make shapes, organize disconnected visual features, and even properties of 3D surfaces when projected on 2D planes 
demonstrated how early vision may quickly complete partially-occluded objects using monocular signals  This capability of perceptual grouping has been studied in vision science for decades   Although there has been some work on perceptual grouping in the past couple of years, it has been less studied in the past decade due to the enormous progress of deep neural networks and their success in dealing with the pixel-by-pixel inference of images 
Different types of lines and curves have been studied to maximize the connectivity of two broken ends in the planer contour completion problem   Different types of lines and curves have been studied to maximize the connectivity of two broken ends in the planer contour completion problem  Geometry-based constraints can be utilized to address some challenges of contour completion problems, such as smoothness and curvature consistency  
However, such approaches only work for simple, smooth contours and usually fail in more complex settings  On the other hand, we currently have deep models that could easily take an incomplete image and complete the missing regions using enough training data   The amazing capability of such models especially those that are trained on different modalities with millions or billions of training data raises the question of whether we need such a large amount of training to perceive all the visual cues that are present in an image, which underlies visual perception by humans 
In human vision, Gestalt psychology suggests that our brain is designed to perceive structures and patterns that are grouped by some known rules  In this work, we show that some perceptual structures can also be learned from the image itself directly using architectures that enable such learning  Earlier work has shown  This is an extraordinary capability of our human brain and in this paper, we tried to see whether convolutional neural networks can show such capabilities 
that some forms of perceptual grouping can be achieved using computational models, such as stochastic completion fields   This type of learning resonates with some of the Gestalt perceptual grouping principles including "proximity", "good continuation" and "similarity"  In scenarios where color and/or texture are present, the cue of "similarity" helps us group regions with consistent patterns  
When color and texture are present, they provide a collection of rich information for such cues  In the present article, we probe convolutional neural networks in a scenario where both are absent, and the neural network is dealing with just forms and shapes  Specifically, we explore whether the convolutional neural network architecture itself can give rise to some of these grouping cues when they are fed just contours and shapes alone 
For years, neural networks have been treated as black boxes that can generalize images very well to multiple classes when there are enough training exemplars  One of the reasons that neural networks are trained on many exemplars is to avoid the problem of overfitting  On the other hand, we know that CNNs that generalize well to large classes of exemplars can easily overfit when those class labels are randomly permuted  
Inspired by this observation, suggest that image priors can be learned to a large extent through a generator network architecture that is solely trained on a single image  This encouraged us to take a deeper look at what structural information can be learned from a single-shape image and whether we can reconstruct some of those perceptual grouping capabilities using a generator network 
Inspired by , in this work, we adopt a novel training regime to complete shapes and contours where we use a UNet architecture with random initial weights and try to complete the contours within a single image without any training data  In our model, we imagine that the input image (i e , the only image used to update the model's weights) is an image of fragmented contours 
In this work, instead of training the model on multiple images fetched from a big image dataset, we imagine a random fixed tensor noise image as input to this model  At each iteration, the random noise tensor is inferred through our generative network and the network produces an outcome image  We introduce a novel loss function that enables this network to complete contours 
This process repeats, and the weights of our network are updated gradually based on this loss function, which is an energy term defined based on the input image and the output of the network  The model will reconstruct the missing structures i e , group fragmented contours that perceptually seem to be connected, before it fully overfits to the incomplete input image 
Contributions of our work are summarized as follows: 1  In our pipeline, we propose a novel algorithm that enables us to complete contours that appear to be connected to each other in an illusory form  2  Our model is trained on just one single query image and does not need any training data  3  Our model does not need to know which regions of the image are masked or occluded, i e , we remove the dependency of the algorithm on the guiding mask (a guiding mask is a mask that informs the model on where the missing regions are located at) 
We also introduce two metrics to produce a stopping criterion to know when to stop training before the model fully overfits to the incomplete image, i e , we guide the model to stop when the completed image is produced 

Methods

Our eyes are trained to predict a missing region of an occluded object within a scene  We can easily perceive or make guesses about parts of objects or shapes that we do not necessarily see  Even when we are looking at an image, we might guess about the shape, property, or other attributes of an unknown object within a scene 
Such capability extends beyond just known objects or shapes  We can look at a disconnected set of contours and guess what the connected form may look like  This capability is rooted in our prior knowledge about the world  (see Figure )  In this work, we aim to achieve a similar capability using deep generative networks 
Most neural networks that we work with these days are trained with a massive amount of data and one might think that this is the only way that a neural network can obtain prior information  Authors of Deep Image Prior (DIP) suggest that the convolutional architecture can capture a fair amount of information about image distribution 
They show that the hourglass architectures like UNet can show some good performances in some inverse problems such as image denoising, super-resolution, and inpainting  In this work, we focus on completing fragmented contours end-to-end just by using a single image  To be able to address this problem, we first look at a similar problem in image editing, known as image inpainting 
Image inpainting is the task of completing an image where some regions of that image are covered or filtered by a mask  In image inpainting, the generative model receives a masked image with the mask that guides the algorithm to fill in those missing regions  Although in the problem of contour completion, we have a very similar goal, the additional challenge that we suffer from is that we do not necessarily have a mask that covers the regions of interest for us 
For example, when we look at Figure (left), we are not provided that which regions of the image are incomplete by a guiding mask  Our brain figures this out just by looking at the form and predicting those missing regions  Inspired by the image inpainting work of DIP , we propose a novel algorithm for the contour completion problem (see Figure ), where, unlike DIP, we do not have a guiding mask to know where to fill in the missing regions of our disconnected contours 
Let us assume that we are given a degraded image x I containing a fragmented contour  We propose an iterative process (see Figure ) that can connect those discontinuities and glue those fragmented pieces together as follows  We propose an hour-glass model structure (f ) that is initially set up with completely random parameters (θ 0 ) at first 
Through an iterative process, we start feeding our network with a fixed random tensor noise z signal and obtain the inferred output (f (z)) from that network  We then back-propagate the difference between the inferred output and the incomplete image to the network  We then repeat this process until the difference between the generated outcome of the network (f θ (z)) and the incomplete image (x I ) gets smaller and smaller and finally overfits the incomplete image (x I ) 
In this work, we propose a novel error metric to backpropagate in the model and update its weights  we set the metric in a way that enables us to complete the incomplete image before it overfits the incomplete image  This is where the magic of our algorithm happens  We also propose a stopping criterion, so that when the image is complete, we no longer overfit the outcome of the model and instead produce a plausible connected set of fragmented contour pieces 
As illustrated in Figure , this trajectory will pass through a complete version of the image in image space, which is close to the actual connected ground truth x gt , which we do not have access to directly 

Energy Function

We can model this iterative process mathematically by maximizing a posterior distribution  Let us assume that the optimal image x * that we want to achieve is on a path that connects a random tensor noise z to the incomplete image x I   With this assumption, we can eventually overfit any random tensor noise to the incomplete image x I , and we can formulate the posterior distribution of our wanted optimal image x * as follows:
No Prior To better recapitulate what we want to achieve using our generative model, we solve an energy minimization problem on the parameter space of the model, rather than explicitly working with probability distributions and optimizing on x (image space)  Thus, we solve an energy minimization problem that incorporates the incomplete image (x I ) and model parameters (f θ (z)):
As shown in Figure , the pipeline starts from a random initialized set of parameters θ and updates those weights until it reaches a local minimum θ *   The only information provided for the network is the incomplete image x I   When we reach the optimal θ * , the completed image is obtained as x * = f θ * (z) where z is random tensor noise 
In this work, we use a U-Net architecture with skip connections as the generator model  " As we mentioned previously, in this work we were inspired by an earlier work known as Deep Image Prior (DIP)   In this work, the authors suggested a mean-squared-error loss term that enables the network to compare the output of the generator to the incomplete input image:
where x I is the incomplete image with missing pixels in correspondence of a binary mask m ∈ {0, 1} H×W and operator is for point-wise multiplication of two image matrices  In the inpainting tasks, the existence of a mask is essential as the algorithm needs to know where to fill in the missing area, whereas, in our work, we wanted to know whether the network can perform completion on its own without the need for the mask 
In other words, is it possible for the network to predict where to fill in at the same time that it is trying to reconstruct the incomplete image through the iterative process? To answer this question, we tried to solve a much harder problem in which the mask is not provided to the model and the model is agnostic to it 
To better understand how a solution could be hypothesized for this problem, we first imagine that we want to consider all the available regions in our image that could be potential places to fill in, i e , we set the mask in the previous formula 1 to be equal to the incomplete image x I   This is problematic as the model quickly tries to fill in all white space and quickly reconstructs the incomplete image by doing so 
On the other hand, we can take the inverse problem of the current problem, where the model tries to just fill in the regions that fragmented contour lives in



ground_truth: Spin injection into non magnetic semiconductors, or electrical manipulation of carrier induced magnetism in magnetic semiconductors.

prompt_front: Now, answer the following question based on the text below, only give me the answer and do not output any other words.

Question: What are the restrictions on the use of Broadjam's servers?

Read the following text and answer briefly.

Context 2: We want to make sure you completely understand what using Broadjam is all about  So please email us at info@broadjam com if anything is unclear 
THIS AGREEMENT IS A CONTRACT 
IT CONTAINS IMPORTANT INFORMATION REGARDING YOUR LEGAL RIGHTS, REMEDIES AND OBLIGATIONS, INCLUDING VARIOUS LIMITATIONS AND EXCLUSIONS 
PLEASE READ THIS AGREEMENT CAREFULLY, AND PRINT IT, BEFORE CLICKING "I ACCEPT"
SIGNING UP FOR A BROADJAM ACCOUNT MEANS YOU ACCEPT THIS AGREEMENT AND UNDERSTAND THAT IT WILL BIND YOU LEGALLY  BROWSING THE SITE WITHOUT AN ACCOUNT ALSO BINDS YOU TO APPLICABLE PROVISIONS OF THIS AGREEMENT 
You acknowledge that you have read, understand and agree to be bound by this Agreement  If you do not agree with any provision of this Agreement, do not use the Site or any Service 
As between you (whether you are an individual representing yourself, or acting as the representative for a group, band, business entity or association) and Broadjam, Inc , (referred to as "we," "us" or "Broadjam"), this Agreement contains the terms and conditions that govern your use of the website found at www broadjam com, any and all of its mobile version(s) and/or applications, any of its sub-domains (collectively, the "Site"), as well as any authorized activity made available by us to Users (each a "Service" and collectively, the "Services")  Unless otherwise indicated, the term "Site" shall include the Services and Site Content (as defined herein), and the term "Services" includes Mobile Services  Some particularized Services may be subject to additional terms and conditions set forth in separate agreements  Broadjam is a Delaware corporation with its principal place of business at PO Box 930556 Verona, WI 53593  You and Broadjam may be referred to collectively herein as the "Parties" and individually as a "Party "
1 04 Policies; Materials; Intellectual Property 
1 05 Co-Branding, Framing, Metatags and Linking 
1 07 Digital Millennium Copyright Act (DMCA) Policy 
1 12 Copyright and Trademark Notices 
1 14 Special Admonitions for International Use 
1 16 Links or Pointers to Other Sites 
1 18 Modifications to Agreement and Services 
1 20 Acceptance of Electronic Contract 
2 02 Term and Service Benefits 
2 03 Accuracy and Posting of Information and Materials 
2 06 Modifications to Subscriber's Account 
3 03 Hosting Subscriber's Representations, Warranties and Obligations 
4 06 Complimentary Weekly Submission Credits 
4 07 Complimentary Monthly Submission Credits 
4 10 Broadjam Music Software Refunds 
This Agreement applies generally to all Users  Provisions applying only to certain types of Users (such as Subscribers and Hosting Subscribers) are so designated 
We may change or modify this Agreement at any time and such changes or modifications will become effective upon being posted to the Site  We will indicate at the top of its first page the date this Agreement was last revised  If you do not agree to abide by this or any future versions of the Agreement, do not use or access (or continue to use or access) the Site or Services  It is your responsibility to check the Site regularly to determine if there have been changes to the Agreement and to review such changes  Without limiting the foregoing: if we make changes to the Agreement that we deem to be material, those with Broadjam accounts will receive a message in their Broadjam inbox  If you do not have a Broadjam account, you will not receive this direct message 
(a) "Artist" means any individual or group, whether or not organized as a legal entity, that made any creative contribution to Materials you post at, on or through the Site 
(b) "Person" means any individual, corporation, partnership, association or other group of persons, whether or not organized as a legal entity, including legal successors or representatives of the foregoing 
(c) "Materials" means any and all works of authorship posted to the Site by any User, whether copyrightable or not, including but not limited to sound recordings, musical compositions, lyrics, pictures, graphics, photographs, text, videos and other audiovisual work, album and other artwork, liner notes, compilations, derivative works and collective works 
(d) "User" means any Person who visits the Site for any purpose, authorized or unauthorized  The term, "User" includes but is not limited to those who submit Material to or in any manner avail themselves of any Service offered at, on or through the Site  The term, "User" also includes but is not limited to, Subscribers and Hosting Subscribers 
(e) "Term" means the period of time during which this Agreement is in effect as between Broadjam and You  Termination of your Broadjam account for any reason shall terminate the Term  Termination shall not be effective with respect to any provision of this Agreement that is either specifically designated as surviving termination, or should reasonably survive in order to accomplish the objectives of this Agreement 
(b) Broadjam shall have the right to review all Materials and in its sole discretion to remove or refuse to post any Materials for any reason 
(c) Except for Materials, the entire Site and its contents, including but not limited to text, graphics, logos, layout, design, button icons, images, compilations, object code, source code, multimedia content (including but not limited to images, illustrations, audio and video clips), html and other mark up languages, all scripts within the Site or associated therewith and all other work and intellectual property of any type or kind, whether patentable or copyrightable or not (hereinafter, without limitation, "Site Content"), is the property of Broadjam or its content suppliers and are protected by United States and international copyright laws with All Rights Reserved  All Site databases and the compilation of any/all Site Content are the exclusive property of Broadjam and are protected by United States and international copyright laws with All Rights Reserved  All software used on the Site or incorporated into it is the property of Broadjam or its software suppliers and is protected by United States and international copyright laws with All Rights Reserved 
(d) The Site is protected by all applicable federal and international intellectual property laws  No portion of the Site may be reprinted, republished, modified or distributed in any form without Broadjam's express written permission  You agree not to reproduce, reverse engineer, decompile, disassemble or modify any portion of the Site  Certain content may be licensed from third parties and all such third party content and all intellectual property rights related to such content belong to the respective third parties 
(e) You acknowledge that Broadjam retains exclusive ownership of the Site and all intellectual property rights associated therewith  Except as expressly provided herein, you are not granted any rights or license to patents, copyrights, trade secrets or trademarks with respect to the Site or any Service, and Broadjam reserves all rights not expressly granted hereunder  You shall promptly notify Broadjam in writing upon your discovery of any unauthorized use or infringement of the Site or any Service or Broadjam's patents, copyrights, trade secrets, trademarks or other intellectual property rights  The Site contains proprietary and confidential information that is protected by copyright laws and international treaty provisions 
(f) Violations of this Agreement may result in civil or criminal liability  We have the right to investigate occurrences, which may involve such violations and may involve, provide information to and cooperate with, law enforcement authorities in prosecuting users who are involved in such violations 
(h) If applicable, You agree to comply with the Acceptable Use Policies ("AUPs") of vendors providing bandwidth, merchant or related services to Broadjam  Broadjam will provide links to applicable AUPs upon your written request 
(i) "Broadjam," "Broadjam Top 10," "Metajam", "broadjam com", "Musicians of Broadjam," Mini MoB, PRIMO MoB and all other trademarks, service marks, logos, labels, product names, service names and trade dress appearing on the Site, registered and unregistered (collectively, the "Marks") are owned exclusively or are licensed by Broadjam  Marks not owned by Broadjam or its subsidiaries are the property of their respective owners, who may or may not be affiliated with, connected to, or sponsored by Broadjam  Other trademarks, service marks, logos, labels, product names and service names appearing in Material posted on the Site and not owned by Broadjam or its organizational affiliates, are the property of their respective owners  You agree not to copy, display or otherwise use any Marks without Broadjam's prior written permission  The Marks may never be used in any manner likely to cause confusion, disparage or dilute the Marks and/or in connection with any product or service that is not authorized or sponsored by Broadjam 
(j) You may not remove or alter, or cause to be removed or altered, any copyright, trademark, trade name, service mark, or any other proprietary notice or legend appearing on the Site 
Co-Branding  You may not co-brand the Site  For purposes of this Agreement, "co-branding" means to display a name, logo, trademark, or other means of attribution or identification of Broadjam in such a manner as is reasonably likely to give the impression that you have the right to display, publish,or distribute the Site or content accessible within the Site, including but not limited to Materials  You agree to cooperate with Broadjam in causing any unauthorized co-branding immediately to cease 
You may not frame or use framing techniques to enclose any Broadjam trademark, logo, or other proprietary information (including but not limited to images, text, page layout, and form) without Broadjam's express written consent  You may not use any metatags or any other "hidden text" using Broadjam's name or trademarks without Broadjam's express written consent  Any such unauthorized use shall result in the immediate and automatic termination of all permission, rights and/or licenses granted to you by Broadjam and may also result in such additional action as Broadjam deems necessary to protect and enforce its legal rights 
Hosting Subscriber expressly acknowledges that Broadjam is the sole and exclusive worldwide owner of all Broadjam Marks, as such term is defined in this Agreement 
Hosting Subscriber expressly acknowledges that this license is granted in consideration of and is conditioned upon Hosting Subscriber's full compliance with the terms and conditions of this Agreement, these additional conditions applying to Hosting Subscribers, and all Policies appearing on the Site 
This license shall terminate immediately upon expiration or termination of Hosting Subscriber's hosting subscription or Broadjam membership or if, in Broadjam's absolute discretion and without the necessity of written notice, Hosting Subscriber has failed to comply with any of the terms or conditions of this Agreement or any Policies appearing on the Site 
Hosting Subscriber agrees to display the following disclaimer prominently at the foot of the home page of Hosting Subscriber's Website: "Hosted by Broadjam  [Hosting Subscriber's Name Here] is not affiliated with Broadjam, Inc  and Broadjam bears no responsibility for the content or use of this site "
No use of Hosting Subscriber's Custom Homepage Link and no content on Hosting Subscriber's Website will dilute, tarnish, blur or otherwise diminish the value of the BROADJAM mark; and Hosting Subscriber will not use, publish or advertise the Custom Homepage Link for any purpose other than identifying the location of Hosting Subscriber's Website; and Upon Broadjam's request Hosting Subscriber will provide Broadjam with hard copy samples of any and all advertising, promotional and other tangible materials bearing the Custom Homepage Link, and will provide Broadjam with URLs to any sites or materials anywhere on the Internet pointing to, linking to or otherwise referring to the Custom Homepage Link 
The appearance, position and other aspects of the link must not be such as to damage or dilute the goodwill associated with our name and Marks or create any false appearance that we are associated with or sponsor the linking site 
Subject to applicable law, we reserve the right to revoke our consent to any link at any time in our sole discretion 
You shall retain full ownership and copyright of any and all Materials you submit to Broadjam, at all times, subject only to the rights and licenses you grant to Broadjam pursuant to this Agreement or any other applicable agreement  Without limiting any other provisions of this Agreement: you authorize and direct us to make and retain such copies of your Materials as we deem necessary in order to facilitate the storage, use and display of such Materials in accordance with your chosen account settings 
Your Materials shall not be considered assets of Broadjam in the event of a voluntary or involuntary bankruptcy 
If you believe that Materials in which you hold an ownership interest have been posted to the Site or otherwise submitted to Broadjam without your permission, you must, and hereby agree, immediately to notify Broadjam's Copyright Agent  Broadjam recommends that you register your Materials with the US Copyright Office  While Broadjam takes commercially reasonable steps to ensure that the rights of its members are not violated by Users, Broadjam has no obligation to pursue legal action against any alleged infringer of any rights in or to your Materials 
You are solely responsible at your own cost and expense for creating backup copies and replacing any Materials you post or store on the Site or otherwise provide to Broadjam 
The Site may be available via mobile devices and applications  We may provide without limitation the ability from such devices and applications to access your account, upload content to the Site and to send and receive messages, instant messages, Materials, and other types of communications that may be developed (collectively the "Mobile Services")  Your mobile carrierâs normal messaging, data and other rates and fees may apply when using the Mobile Services  In addition, downloading, installing, or using certain Mobile Services may be prohibited or restricted by your mobile carrier, and not all Mobile Services may work with all mobile carriers or devices  When available, by using any Mobile Services, you agree that we may communicate with you regarding Broadjam and the Site by multimedia messaging service, short message service, text message or other electronic means to your mobile device and that certain information about your usage of the Mobile Services may be communicated to us 
Section 512 of the Copyright Law of the United States (17 U S C  Â§512) limits liability for copyright infringement by service providers if the service provider has designated an agent for notification of claimed infringement by providing contact information to the Copyright Office and through theservice provider's website 
Broadjam has designated an agent to receive notification of alleged copyright infringement (our agent is identified below)  This Section 1 07 is without prejudice or admission as to the applicability of the Digital Millennium Copyright Act, 17 U S C , Section 512, to Broadjam 
Upon receipt of a valid claim (i e , a claim in which all required information is substantially provided) Broadjam will undertake to have the disputed Material removed from public view  We will also notify the user who posted the allegedly infringing Material that we have removed or disabled access to that Material  Broadjam has no other role to play either in prosecuting or defending claims of infringement, and cannot be held accountable in any case for damages, regardless of whether a claim of infringement is found to be true or false  Please note: If you materially misrepresent that Material infringes your copyright interests, you may be liable for damages (including court costs and attorneys fees) and could be subject to criminal prosecution for perjury 
Our designated agent will present your counter notification to the person who filed the infringement complaint  Once your counter notification has been delivered, Broadjam is allowed under the provisions of Section 512 to restore the removed Material in not less than ten or more than fourteen days, unless the complaining party serves notice of intent to obtain a court order restraining the restoration 
It is Broadjam's policy to terminate subscribers and account holders who are found to be repeat infringers 
Broadjam's designated agent is Elizabeth T Russell 
By accepting this Agreement and/or submitting Materials to Broadjam, you expressly warrant and represent the following to Broadjam and acknowledge that Broadjam is relying upon such warranties and representations: (a) That all factual assertions you have made and will make to us are true and complete; that you have reached the age of majority and are otherwise competent to enter into contracts in your jurisdiction; that you are at least 18 years of age; and that, in any event, you are deriving benefits from this Agreement and from visiting the Site 
(b) That you have obtained and hold all rights, approvals, consents, licenses and/or permissions, in proper legal form, necessary to submit Materials on the terms provided herein and to grant Broadjam the nonexclusive licenses set forth herein  (c) That no other rights, approvals, consents, licenses and/or permissions are required from any other person or entity to submit your Materials on the terms provided herein or to grant Broadjam the nonexclusive licenses set forth herein 
(d) That your Materials are original; that your Materials were either created solely by you or, by written assignment, you have acquired all worldwide intellectual property rights in and to your Materials; that if your Materials contain any "samples" or excerpts from copyrightable work the rights to which are owned in whole or in part by any person or entity other than you, that you have obtained and hold all rights, approvals, consents, licenses and/or permissions, in proper legal form, necessary to use and include such work in your Materials; and that your Materials do not otherwise infringe on the intellectual property rights of any person or entity 
(e) That neither your Materials nor any comments or reviews you post on the Site violate any common law or statutory patent, copyright, privacy, publicity, trademark or trade secret rights of any person or entity and are not libelous, defamatory, obscene or otherwise actionable at law or equity 
(f) That you have neither intentionally nor with gross negligence submitted any Materials containing or producing any virus or other harmful code or other information that could damage or otherwise interfere with our computer systems or data and/or that of our customers 
(g) You agree to sign and deliver to Broadjam any additional documents that Broadjam may request to confirm Broadjam's rights and your warranties and representations under this Agreement 
(h) You acknowledge that Broadjam is relying upon the representations, warranties and covenants you have made herein  You agree to and hereby do indemnify Broadjam, its licensees, assigns and customers against, and hold them harmless from, any loss, expense (including reasonable attorney fees and expenses), or damage occasioned by any claim, demand, suit, recovery, or settlement arising out of any breach or alleged breach of any of the representations, warranties or covenants made herein or arising out of any failure by you to fulfill any of the representations, warranties, or covenants you have made herein 
(i) All representations, warranties or covenants made herein by you shall survive termination of this Agreement 
(j) All warranties and representations made by you herein are made for the benefit of Broadjam and its sub-licensees and may be enforced separately by Broadjam and/or by any contractually designated sub-licensee of Broadjam 
In consideration of Broadjam's efforts to provide your work with public exposure, you expressly authorize Broadjam and its sub-licensees to transmit, stream, broadcast, publicly display and publicly perform in any manner, form or media whether now known or hereafter devised, worldwide, any ofthe Materials you submit to Broadjam, in accordance with the provisions of this section  Without limitation to other licenses you may be inferred to have granted in order to accomplish the foregoing, you expressly grant Broadjam and its sub-licensees the following worldwide, non-exclusive, royalty-free, sublicenseable and transferable licenses with respect to any and all Materials you submit 
Public performance license for musical works  If you are a member of any collective rights management or performing rights society ("PRS"), worldwide, licensing and compensation for public performances of your Material consisting of musical works (including qualifying performances by Broadjam and any of its sub-licensees) shall be made solely by your PRS and pursuant to your affiliation agreement with your PRS  If you are not affiliated with a PRS, or if any performance by Broadjam or any of its sub-licensees does not qualify as a performance under your affiliation agreement with your PRS: you hereby grant Broadjam and its sub-licensees a nonexclusive, royalty-free, direct license to publicly perform all musical compositions included in your Materials, worldwide, in any media formats and through any media channels now known or hereafter devised 
Public performance license for sound recordings  If you are a member of SoundExchange or any other collective rights management organization for sound recordings ("CRMO"), worldwide, licensing and compensation for public performances of your Material consisting of sound recordings (including qualifying performances by Broadjam and any of its sub-licensees) shall be made solely by your CRMO and pursuant to your affiliation agreement with your CRMO  If you are not affiliated with a CRMO, or if any performance by Broadjam or any of its sub-licensees does not qualify as a performance under your affiliation agreement with your CRMO: you hereby grant Broadjam and its sublicensees a nonexclusive, royalty-free license to publicly perform (by means of digital audio transmission and all other means) all sound recordings included in your Materials, worldwide, in any media formats and through any media channels now known or hereafter devised 
Reproduction licenses for compositions and sound recordings  Although copyright law is evolving to accommodate the digital environment, certain key issues remain unresolved  One such issue is the extent to which reproduction licenses are required for musical works and sound recordings made available on interactive streaming services  We choose to resolve the issue contractually  Accordingly, you hereby grant Broadjam and its sub-licensees nonexclusive reproduction licenses for all musical works and sound recordings included in your Materials; provided, however, that unless by separate agreement you have chosen to make your Materials available for sale through Broadjam's digital download store, such reproduction licenses are limited in scope and apply only to the extent necessary to make your Materials publicly available via Broadjam's interactive streaming services  Podcasts  From time to time Broadjam may invite you to submit your Materials for inclusion in downloadable content files known as "podcasts " Podcasts are non-live entertainment programs spotlighting the work of Broadjam members and are made available for download in unprotected media, free of charge, at the Site  Broadjam will not include your Materials in podcasts without your consent  If you choose to grant such consent, however, you also (and hereby do) grant to Broadjam and its sub-licensees all licenses reasonably required for podcasting, including nonexclusive reproduction and public performance licenses for all musical works, and nonexclusive reproduction and public performance licenses for all sound recordings, embodied in any Materials of yours selected for inclusion in Broadjam podcasts  You further release Broadjam and its sub-licensees for any and all liability arising from any alleged failure by Broadjam or any of its sub-licensees to obtain appropriate licenses for the use of any Materials of yours selected for inclusion in Broadjam podcasts 
You may at any time opt to make Materials you have uploaded to Broadjam available to other Broadjam members free of charge ("Free Songs")  The Broadjam Free Songs feature is designed to help you further circulate your music  Your songs will not be designated as Free Songs without your express consent  Broadjam makes your Free Songs available for download in unprotected media, free of charge, in the Broadjam Downloads Store ("BDS")  If you choose to designate your songs as Free Songs, you expressly authorize Broadjam and its sub-licensees to reproduce, transmit, stream, broadcast, publicly display and publicly perform in any manner, form or media whether now known or hereafter devised, such Free Songs in accordance with the provisions of this section  You may at any time choose to change the status of a song from Free" to Not Free" and vice versa in your User Profile  Broadjam shall not make any payments to you for songs downloaded by Broadjam members during the time period in which you designated your songs as Free Songs  You further release Broadjam and its sub-licensees for any and all liability arising from any unauthorized exercise of copyright rights in connection with your Materials that you have chosen to designate as Free Songs 
Broadjam shall have the right and license to use, and license others to use, your Materials for the purpose of promoting our products and services, and to use all names, likenesses, biographical materials, logos, trademarks or trade names of you and all individuals performing on or otherwise represented in your Materials without any payment to you or any other Persons, entities, groups or associations, in accordance with the provisions of this section  All rights and licenses you grant to Broadjam pursuant to this section shall terminate, with respect to specific Materials, when, in accordance with this Agreement, you exercise your right to request removal of such Materials 
You represent and warrant that you have exclusive authority to grant all licenses that are granted to Broadjam and its sub-licensees in this Agreement  You understand that Broadjam is relying on this representation and warranty  You agree to and hereby do indemnify Broadjam, its licensees, assigns and customers against, and hold them harmless from, any loss, expense (including reasonable attorney fees and expenses), or damage occasioned by any claim, demand, suit, recovery, or settlement arising out of any breach or alleged breach of any of the representations, warranties or covenants made herein or arising out of any failure by you to fulfill any of the representations, warranties, or covenants you have made herein 
Sub-licensees designated by Broadjam to transmit, stream, broadcast, publicly display and/or publicly perform your Materials may pay a fee to Broadjam for facilitating access to such Materials and you hereby agree that Broadjam shall be entitled to collect and retain 100% of all such facilitation fees without any obligation to you 
(a) You acknowledge that the Site may from time to time encounter technical or other problems and may not necessarily continue uninterrupted or without technical or other errors and that Broadjam shall not be responsible to you or others for any such interruptions, errors or problems or for discontinuance of any Broadjam Service  Broadjam provides no assurances whatever that any of your Materials will ever be accessed or used by Broadjam, its visitors, Subscribers or sub-licensees nor, if so accessed or used, that your Materials will continue to be available for any particular length or period of time 
(b) A possibility exists that the Site or any Service could include inaccuracies or errors, or information or materials that violate this Agreement  Additionally, a possibility exists that unauthorized alterations could be made by third parties to the Site or any Service  Although we attempt to ensure the integrity of the Site and every Service, we make no guarantees as to their completeness or correctness  In the event that a situation arises in which the Site's or any Services' completeness or correctness is in question, you agree to contact us including, if possible, a description of the material to be checked and the location (URL) where such material can be found, as well as information sufficient to enable us to contact you  We will make best efforts to address your concerns as soon as reasonably practicable  For copyright infringement claims, see Broadjam's Digital Millennium Copyright (DMCA) Policy, set forth in Section 1 07 of this Agreement 
(c) The Site and any Service may be discontinued at any time, with or without reason or cause 
(d) Broadjam disclaims any and all responsibility for the deletion, failure to store, misdelivery or untimely delivery of any information or Material  Broadjam disclaims any and all responsibility for harm resulting from downloading or accessing any information or Material on the Internet or through the Site 
(e) THIS SITE, INCLUDING ANY CONTENT OR INFORMATION CONTAINED WITHIN IT OR ANY SITE-RELATED SERVICE, IS PROVIDED "AS IS," WITH NO REPRESENTATIONS OR WARRANTIES OF ANY KIND, EITHER EXPRESSED OR IMPLIED  TO THE FULLEST EXTENT PERMISSIBLE PURSUANT TO APPLICABLE LAW, BROADJAM AND ITS AFFILIATES, LICENSORS, SUPPLIERS, ADVERTISERS, SPONSORS AND AGENTS DISCLAIM ALL WARRANTIES, EXPRESS OR IMPLIED, INCLUDING, WITHOUT LIMITATION, IMPLIED WARRANTIES OF TITLE, NON-INFRINGEMENT, ACCURACY, MERCHANTABILITY, AND FITNESS FOR A PARTICULAR PURPOSE, AND ANY WARRANTIES THAT MAY ARISE FROM COURSE OF DEALING, COURSE OF PERFORMANCE OR USAGE OF TRADE  BROADJAM AND ITS AFFILIATES, LICENSORS, SUPPLIERS, ADVERTISERS, SPONSORS AND AGENTS DISCLAIM ANY AND ALL WARRANTIES REGARDING THE SECURITY, RELIABILITY, TIMELINESS, AND PERFORMANCE OF ANY BROADJAM SERVICE  BROADJAM AND ITS AFFILIATES, LICENSORS, SUPPLIERS, ADVERTISERS, SPONSORS AND AGENTS DISCLAIM ANY AND ALL WARRANTIES FOR ANY INFORMATION OR ADVICE OBTAINED THROUGH THE SITE  NO OPINION, ADVICE OR STATEMENT OF BROADJAM OR ITS AFFILIATES, LICENSORS, SUPPLIERS, ADVERTISERS, SPONSORS, AGENTS, MEMBERS OR VISITORS, WHETHER MADE ON THE SITE OR OTHERWISE, SHALL CREATE ANY WARRANTY  BROADJAM AND ITS AFFILIATES, LICENSORS, SUPPLIERS, ADVERTISERS, SPONSORS AND AGENTS DISCLAIM ANY AND ALL WARRANTIES FOR SERVICES OR GOODS RECEIVED THROUGH OR ADVERTISED ON THE SITE OR RECEIVED THROUGH ANY LINKS APPEARING ANYWHERE ON THE SITE, AS WELL AS FOR ANY INFORMATION OR ADVICE RECEIVED THROUGH ANY LINKS PROVIDED ANYWHERE ON THE SITE 
(f) BROADJAM AND ITS AFFILIATES, LICENSORS, SUPPLIERS, ADVERTISERS, SPONSORS AND AGENTS DO NOT WARRANT THAT YOUR USE OF THE SITE WILL BE UNINTERRUPTED, ERROR-FREE OR SECURE, THAT DEFECTS WILL BE CORRECTED, OR THAT THE SITE OR THE SERVER(S) ON WHICH THE SITE IS HOSTED ARE FREE OF VIRUSES OR OTHER HARMFUL COMPONENTS  YOU ACKNOWLEDGE THAT YOU ARE RESPONSIBLE FOR OBTAINING AND MAINTAINING ALL TELEPHONE, COMPUTER HARDWARE AND OTHER EQUIPMENT NEEDED TO ACCESS AND USE THE SITE, AND ALL CHARGES RELATED THERETO  YOU ASSUME ALL RESPONSIBILITY AND RISK FOR YOUR USE OF THE SITE AND ANY SERVICE AND YOUR RELIANCE THEREON  YOU UNDERSTAND AND AGREE THAT YOU DOWNLOAD OR OTHERWISE OBTAIN MATERIAL, INFORMATION OR DATA THROUGH THE USE OF THE SITE AT YOUR OWN DISCRETION AND RISK AND THAT YOU WILL BE SOLELY RESPONSIBLE FOR ANY DAMAGES TO YOUR COMPUTER SYSTEM OR LOSS OF DATA THAT RESULTS FROM THE DOWNLOAD OF SUCH MATERIAL, INFORMATION OR DATA 
(g) SOME STATES OR OTHER JURISDICTIONS DO NOT ALLOW THE EXCLUSION OF IMPLIED WARRANTIES, SO THE ABOVE EXCLUSIONS MAY NOT APPLY TO YOU  YOU MAY ALSO HAVE OTHER RIGHTS THAT VARY FROM STATE TO STATE AND JURISDICTION TO JURISDICTION  PROVIDED, HOWEVER, THAT TO THE EXTENT PERMITTED BY APPLICABLE LAW YOU HEREBY WAIVE THE PROVISIONS OF ANY STATE LAW LIMITING OR PROHIBITING SUCH EXCLUSIONS 
(a) NEITHER BROADJAM NOR ANY OF OUR AFFILIATES, LICENSORS, SUPPLIERS, ADVERTISERS OR SPONSORS, NOR OUR OR THEIR DIRECTORS, OFFICERS, EMPLOYEES, CONSULTANTS, AGENTS OR OTHER REPRESENTATIVES (TOGETHER, FOR PURPOSES OF THIS SECTION, "BROADJAM"), ARE RESPONSIBLE OR LIABLE FOR ANY INDIRECT, INCIDENTAL, CONSEQUENTIAL, SPECIAL, EXEMPLARY, PUNITIVE OR OTHER DAMAGES (INCLUDING, WITHOUT LIMITATION, DAMAGES FOR LOSS OF BUSINESS, LOSS OF DATA OR LOST PROFITS), UNDER ANY CONTRACT, NEGLIGENCE, WARRANTY, STRICT LIABILITY OR OTHER THEORY ARISING OUT OF OR RELATING IN ANY WAY TO USE OR MISUSE OF OR RELIANCE ON THE SITE OR ANY BROADJAM SERVICE OR ANY LINKED SITE, EVEN IF BROADJAM HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES, AND IN NO EVENT SHALL BROADJAM'S TOTAL CUMULATIVE LIABILITY UNDER THIS AGREEMENT EXCEED THE TOTAL AMOUNT PAID BY YOU, IF ANY, TO ACCESS THE SITE  SUCH LIMITATION OF LIABILITY SHALL APPLY WHETHER THE DAMAGES ARISE FROM USE OR MISUSE OF AND/OR RELIANCE ON THE SITE OR ANY BROADJAM SERVICE, FROM INABILITY TO USE THE SITE OR ANY BROADJAM SERVICE, OR FROM THE INTERRUPTION, SUSPENSION, OR TERMINATION OF THE SITE OR ANY BROADJAM SERVICE (INCLUDING SUCH DAMAGES INCURRED BY THIRD PARTIES)  THIS LIMITATION SHALL ALSO APPLY WITH RESPECT TO DAMAGES INCURRED BY REASON OF OTHER SERVICES OR GOODS RECEIVED THROUGH OR ADVERTISED ON THE SITE OR RECEIVED THROUGH ANY LINKS PROVIDED AT, IN OR THROUGH THE SITE, AS WELL AS BY REASON OF ANY INFORMATION OR ADVICE RECEIVED THROUGH OR ADVERTISED ON THE SITE OR RECEIVED THROUGH ANY LINKS PROVIDED ON THE SITE OR ANY BROADJAM SERVICE  THIS LIMITATION SHALL ALSO APPLY, WITHOUT LIMITATION, TO THE COSTS OF PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES, LOST PROFITS, AND LOST DATA  SUCH LIMITATION SHALL FURTHER APPLY WITH RESPECT TO THE PERFORMANCE OR NONPERFORMANCE OF THE SITE OR ANY BROADJAM SERVICE OR ANY INFORMATION OR MERCHANDISE THAT APPEARS ON, OR IS LINKED OR RELATED IN ANY WAY TO, THE SITE OR ANY BROADJAM SERVICE  SUCH LIMITATION SHALL APPLY NOTWITHSTANDING ANY FAILURE OF ESSENTIAL PURPOSE OF ANY LIMITED REMEDY AND TO THE FULLEST EXTENT PERMITTED BY LAW 
(b) SOME STATES OR OTHER JURISDICTIONS DO NOT ALLOW THE EXCLUSION OR LIMITATION OF LIABILITY FOR INCIDENTAL OR CONSEQUENTIAL DAMAGES, SO THE ABOVE LIMITATIONS AND EXCLUSIONS MAY NOT APPLY TO YOU  PROVIDED, HOWEVER, THAT TO THE EXTENT PERMITTED BY APPLICABLE LAW YOU HEREBY WAIVE THE PROVISIONS OF ANY STATE LAW LIMITING OR PROHIBITING SUCH EXCLUSIONS OR LIMITATIONS 
(c) WITHOUT LIMITING THE FOREGOING, UNDER NO CIRCUMSTANCES SHALL BROADJAM BE HELD LIABLE FOR ANY DELAY OR FAILURE IN PERFORMANCE RESULTING DIRECTLY OR INDIRECTLY FROM ACTS OF NATURE, FORCES, OR CAUSES BEYOND ITS REASONABLE CONTROL, INCLUDING, WITHOUT LIMITATION, INTERNET FAILURES, COMPUTER EQUIPMENT FAILURES, TELECOMMUNICATION EQUIPMENT FAILURES, OTHER EQUIPMENT FAILURES, ELECTRICAL POWER FAILURES, STRIKES, LABOR DISPUTES, RIOTS, INSURRECTIONS, CIVIL DISTURBANCES, SHORTAGES OF LABOR OR MATERIALS, FIRES, FLOODS, STORMS, EXPLOSIONS, ACTS OF GOD, EPIDEMIC, WAR, GOVERNMENTAL ACTIONS, ORDERS OF DOMESTIC OR FOREIGN COURTS OR TRIBUNALS, NON-PERFORMANCE OF THIRD PARTIES, OR LOSS OF OR FLUCTUATIONS IN HEAT, LIGHT, OR AIR CONDITIONING 
(a) All content included on this Site, including but not limited to text, graphics, logos, button icons, images, data compilations, code and source code, multimedia content, including but not limited to images, illustrations, audio and video clips, html and other mark up languages, and all scripts within the Site or associated therewith, are the property of Broadjam or its content suppliers and is protected by United States and international copyright laws with All Rights Reserved  The compilation of all content on this Site is the exclusive property of Broadjam and is protected by United States and international copyright laws with All Rights Reserved  All software used on this site is the property of Broadjam or its software suppliers and is protected by United States and international copyright laws with All Rights Reserved 
(b) "Broadjam," "Broadjam Top 10," "Metajam", "broadjam com", "Musicians of Broadjam," Mini MoB, PRIMO MoB and other trademarks, service marks, logos, labels, product names and service names appearing on the Site (collectively, the "Marks") are owned or licensed by Broadjam  Marks not owned by Broadjam or its subsidiaries are the property of their respective owners, who may or may not be affiliated with, connected to, or sponsored by Broadjam 
(c) You agree not to copy, display or otherwise use any Marks without Broadjam's prior written permission  The Marks may never be used in any manner likely to cause confusion, disparage or dilute the Marks and/or in connection with any product or service that is not authorized or sponsored by Broadjam 
(a) We make no representation that products or services available on or through the Site or any Service are appropriate or available for use in other locations other than the United States  Those who choose to access the Site or any Service from other locations do so on their own initiative and at their own risk, and are responsible for compliance with local laws, if and to the extent local laws are applicable  By accessing the Site or using any Services you are consenting to have your personal data transferred to and processed in the United States 
(b) Products, including software, made available through the Site or any Service are further subject to United States export controls  You agree to comply with all applicable laws regarding the transmission of technical data exported from the United States or the country in which you reside  No such products may be downloaded or otherwise exported or re-exported (i) into (or to a national or resident of) any country to which the U S  has embargoed goods; or (ii) to anyone on the U S  Treasury Department's list of Specially Designated Nationals or the U S  Commerce Department's Table of Deny Orders  By downloading any product available through the Site or any Service, you represent and warrant that you are not located in, under the control of, or a national or resident of any such country or on any such list  We reserve the right to limit the availability of the Site and/or any Service or product described thereon to any person, geographic area or jurisdiction, at any time and in our sole discretion, and to limit the quantities of any such Service or product that we provide 
Broadjam may also provide access to certain services (including, without limitation and by way of example only: advertising, promotion, and submission processing services for contests, radio play, publishing, placement and licensing opportunities) that are supplied by others ("Third Party Services")  YOU EXPRESSLY ACKNOWLEDGE THAT BROADJAM BEARS NO RESPONSIBILITY FOR THIRD PARTY SERVICES; BROADJAM EXPRESSLY DISCLAIMS ANY/ALL LIABILITY FOR THIRD PARTY SERVICES; AND BROADJAM MAKES NO WARRANTY, REPRESENTATION OR GUARANTEE TO YOU REGARDING ANY ASPECT OF THIRD PARTY SERVICES  ANY CLAIM YOU MAY HAVE REGARDING ANY THIRD PARTY SERVICE MUST BE PURSUED DIRECTLY AND EXCLUSIVELY WITH THE INDIVIDUAL OR GROUP, WHETHER OR NOT ORGANIZED AS A LEGAL ENTITY (THE "THIRD PARTY PROVIDER"), THAT SUPPLIED THE THIRD PARTY SERVICE  BROADJAM IS NOT A PARTY TO ANY RULES, CONTRACTS OR OTHER AGREEMENTS BETWEEN YOU AND ANY THIRD PARTY PROVIDER, AND YOU EXPRESSLY AGREE NOT TO JOIN OR ATTEMPT TO JOIN BROADJAM AS A PARTY IN ANY DISPUTE BETWEEN YOU AND ANY THIRD PARTY PROVIDER 
Upon receipt of your written request, Broadjam will remove any of your Materials from the Site within a reasonable period of time  Broadjam's licenses to use such Materials will continue for any copies of such Materials that may have been disseminated in any format or media prior to the actual removal of such Materials from the Site 
You agree that, at any time, Broadjam may revise, change or modify any terms and conditions of this Agreement and/or any aspect of any Service, without notice to you  You can review the most current version of this Agreement at any time at: http://www broadjam com  When using any Service, you and Broadjam shall also be subject to any guidelines, Policies or rules applicable to such Service which may be posted on the Site from time to time  All such guidelines, Policies or rules are hereby incorporated by reference into this Agreement and you agree to their terms  Any such revisions, changes or modifications shall be binding and effective immediately upon posting of same to the Site 
(a) Your rights under this Agreement are not assignable and any attempt by your creditors to obtain an interest in your rights under this Agreement, whether by attachment, levy, garnishment or otherwise, renders this Agreement voidable at Broadjam's option 
(b) This Agreement is binding onthe Parties and their respective heirs, legatees, executors, successors and assigns  Except for Policies and other agreements incorporated by reference herein, this Agreement is the entire agreement between the Parties and supersedes all prior written or oral agreements between the Parties relating to the subject matter hereof  If any portion of this Agreement is found to be void or unenforceable, the remaining portion shall be enforceable with the invalid portion removed, giving all reasonable construction to permit the essential purposes of the Agreement to be achieved  The Parties' various rights and remedies hereunder shall be construed to be cumulative 
(c) This Agreement shall be deemed to have been made in the State of Wisconsin, and it shall be governed by the substantive laws of the State of Wisconsin without regard to any applicable conflict of laws provisions  The Parties submit to jurisdiction in the state and federal courts sitting in Dane County, Wisconsin, and you hereby waive any jurisdictional, venue or inconvenient forum objections  Provided, however, that if we are sued or joined in an action in any other court or forum in respect of any matter which may give rise to a claim by us hereunder, you consent to the jurisdiction of such court or forum over any such claim  Nothing in this paragraph or Agreement constitutes our consent to the assertion of personal jurisdiction over Broadjam otherwise than in Wisconsin 
(d) Nothing contained in this Agreement shall be construed to require the commission of any act contrary to law  Nothing in this Agreement shall be construed or deemed to create any partnership, agency, joint venture, employment or franchise relationship between the Parties 
(e) Each Party hereto agrees to execute all further and additional documents as may be necessary or desirable to effectuate and carry out the provisions of this Agreement 
(f) Captions and headings used in this Agreement are for purposes of convenience only and shall not be deemed to limit, affect the scope, meaning or intent of this Agreement, nor shall they otherwise be given any legal effect 
(g) No breach of this Agreement by Broadjam shall be deemed material unless the Party alleging such breach shall have given Broadjam written notice of such breach, and Broadjam shall fail to cure such breach within thirty (30) days after its receipt of such notice 
(h) All notices required to be sent to Broadjam under this Agreement shall be in writing and shall be sent by certified mail, return receipt requested, postage paid, or by overnight delivery service, to Broadjam Inc , 211 S  Paterson St  Ste  360 Madison, WI 53703 Attention: Legal (or such other address or addresses as may be designated by Broadjam herein) 
(i) All duties, liabilities, obligations, warranties, representations, covenants, authorizations, agreements and restrictions undertaken by and/or imposed upon you in connection with this Agreement shall be deemed to apply jointly and severally to all members collectively and each member individually of any group at any time comprising the Artist whose recordings or other Materials you post, upload or otherwise make available to Broadjam  You affirmatively represent that you have the authority to bind all such individuals to the terms and conditions of this Agreement 
(j) You agree that regardless of any statute or law to the contrary, any claim or cause of action against Broadjam, arising out of or related to use of the Site or any Service, must be filed within one (1) year after such claim or cause of action arose or be forever barred 
Sacramento, California 95834, or by telephone at (800) 952-5210 
available by contacting Broadjam at the above address, Attention: Customer Service 
(m) This Agreement has no intended third party beneficiaries 
(a) This Article II applies to any Person (hereinafter a "Subscriber") who subscribes to any member subscription service offered by Broadjam, including but not limited to, by way of example, Mini MoB or PRIMO MoB (hereinafter a "Subscription Service")  For purposes of this Agreement all Subscribers are also Users as defined herein 
(b) You agree to provide true, accurate, current and complete information about yourself as prompted by the subscription registration processes (such information being your "Account Information")  You further agree that, in providing such Account Information, you will not knowingly omit or misrepresent any material facts or information and that you will promptly enter corrected or updated Account Information, or otherwise advise us promptly in writing of any such changes or updates  You further consent and authorize us to verify your Account Information as required for your use of and access to the Site and any Service, as applicable 
(c) As a Subscriber, you will receive a unique username and password in connection with your account (collectively referred to herein as your "Username")  You agree that you will not allow another person to use your Username to access and use the Site or any Service under any circumstances  You are solely and entirely responsible for maintaining the confidentiality of your Username and for any charges, damages, liabilities or losses incurred or suffered as a result of your failure to do so  Broadjam is not liable for any harm caused by or related to the theft of your Username, your disclosure of your Username, or your authorization to allow another person to access and use the Site or any Service using your Username  Furthermore, you are solely and entirely responsible for any and all activities that occur under your account, including, but not limited to, any charges incurred relating to the Site or any Service  You agree to immediately notify us of any unauthorized use of your account or any other breach of security known to you  You acknowledge that the complete privacy of your data transmitted while using the Site or any Service cannot be guaranteed 
The term of any Subscription Service shall commence when the Subscriber initiates payment for such Subscription Service or, if the Subscription Service is complimentary, when the Subscriber registers for such Subscription Service  All Subscription Services will extend for an initial period of oneyear (the "Term") and, unless terminated as provided herein, shall renew automatically for successive one-year periods  During the Term, the Subscriber shall be afforded the full use and benefit of the applicable Subscription Service as described on the Site (the "Service Benefits"), which Service Benefits may be revised by Broadjam from time to time without notice to the Subscriber  Due to technical considerations, certain Service Benefits may not be available to the Subscriber immediately upon commencement of the Term, but shall be provided to the Subscriber as soon as commercially reasonable  Please direct any questions about Subscription Services or Service Benefits to Broadjam by email at: customerservice@broadjam com or by US mail at: Broadjam Inc , 100 S  Baldwin St  Ste  #204, Madison, WI 53703, Attn: Customer Service 
(b) maintain and update such information as needed to keep it current, complete and accurate 
Subscriber acknowledges that Broadjam relies and will rely upon the accuracy of such information as supplied by Subscriber 
(a) Termination by Subscriber  Subscriber may terminate any Subscription Service at any time by providing Broadjam with written notice pursuant to this Agreement  Written notice will be followed by a confirmation request from Broadjam Customer Service  Confirmation is required to implement termination  Such termination will be effective after the paid period  In the case of termination by the Subscriber, the period that is already paid for will not be reimbursed  The Subscription Service will remain active until the end of the paid period 
(a) As consideration for a Subscription Service, Subscriber agrees to pay Broadjam all applicable subscription fees as posted on the Site at the time Subscriber applies for the Subscription Service  All subscription fees are due immediately pursuant to the payment option Subscriber chooses, and are non-refundable except as otherwise provided herein  Broadjam may exercise all available remedies to collect fees due and owing for any Subscription Service 
(b) Broadjam may, at its sole discretion and for any Subscription Service, offer Subscriber the option to pay Subscriber's annual subscription fee in monthly installments (a "Payment Plan")  If Subscriber elects a Payment Plan, Subscriber agrees to provide Broadjam with a valid credit card number, which Broadjam will charge on a monthly basis for twelve (12) consecutive months, in an amount each month equal to 1/12th of the subscription fee for the Subscription Service, plus a finance charge, until the Subscription Service is terminated pursuant to this Agreement  By providing credit card billing information, Subscriber shall be authorizing Broadjam to charge that credit card until termination of the Subscription Service  Broadjam shall have the right immediately to discontinue Subscriber's Service Benefits if Broadjam does not receive payment when due 
In order to change any of Subscriber's account information, Subscriber must use the User Name and the Password that Subscriber selected when Subscriber registered as a Broadjam User  In no event will Broadjam be liable for any unauthorized use or misuse of Subscriber's User Name and Password 
Subscriber agrees that Subscriber's failure to abide by any provision of this Agreement or any Broadjam operating rule or policy, Subscriber's willful provision of inaccurate or unreliable information as part of the application process, Subscriber's failure to update Subscriber's information to keep it current, complete or accurate, and/or Subscriber's failure to respond to inquiries from Broadjam concerning the accuracy of Subscriber's account information shall be considered a material breach of this Agreement  If within ten (10) calendar days after Broadjam provides notice (in any form and via any method of delivery) to Subscriber of such material breach, Subscriber fails to provide evidence, reasonably satisfactory to Broadjam, that Subscriber has not breached its obligations under this Agreement, Broadjam may terminate all Services, Subscription and otherwise, without further notice to Subscriber 
This Article III applies to any Person (hereinafter a "Hosting Subscriber") who subscribes to any web hosting subscription service offered by Broadjam, including but not limited to, by way of example, PRIMO MoB (hereinafter a "Hosting Service")  For purposes of this Agreement all Hosting Subscribers are also Subscribers and Users as defined herein 
Hosting Subscriber's Website will not be used in connection with any illegal activity 
(b) Hosting Subscriber is responsible for ensuring that there is no excessive overloading on Broadjam's DNS or servers  Broadjam prohibits the use of software or scripts run on its servers that cause the server to load beyond a reasonable level, as determined by Broadjam  Hosting Subscriber agrees that Broadjam reserves the right to remove Hosting Subscriber's Website temporarily or permanently from its hosting servers if Hosting Subscriber's Website threatens the stability of Broadjam's network 
(c) Hosting Subscriber may not use Broadjam's servers or Hosting Subscriber's Website as a source, intermediary, reply to address, or destination address for mail bombs, Internet packet flooding, packet corruption, denial of service, or any other abusive activities  Server hacking or other perpetration of security breaches is strictly prohibited and Broadjam reserves the right to remove websites that contain information about hacking or links to such information  Use of Hosting Subscriber's Website as an anonymous gateway is prohibited 
engage in any other activity deemed by Broadjam to be in conflict with the spirit or intent of this Agreement or any Broadjam policy 
Subject to the terms and conditions of this Agreement, Broadjam shall attempt to provide Hosting Services for twenty-four (24) hours a day, seven (7) days a week throughout the term of Hosting Subscriber's subscription  Hosting Subscriber agrees that from time to time the Hosting Service may be inaccessible or inoperable for any reason, including, without limitation, equipment malfunctions; periodic maintenance procedures or repairs which Broadjam may undertake from time to time; or causes beyond the control of Broadjam or which are not reasonably foreseeable by Broadjam, including, without limitation, interruption or failure of telecommunication or digital transmission links, hostile network attacks, network congestion or other failures  Hosting Subscriber agrees that Broadjam makes no representation or assurance that Hosting Services will be available on a continuous or uninterrupted basis 
At all times, Hosting Subscriber shall bear full risk of loss and damage to Hosting Subscriber's Website and all of Hosting Subscriber's Website content  Hosting Subscriber is solely responsible for maintaining the confidentiality of Hosting Subscriber's Password and account information  Hosting Subscriber agrees that Hosting Subscriber is solely responsible for all acts, omissions and use under and charges incurred with Hosting Subscriber's account or password or any of Hosting Subscriber's Website content  Hosting Subscriber shall be solely responsible for undertaking measures to: (i) prevent any loss or damage to Hosting Subscriber's Website content; (ii) maintain independent archival and backup copies of Hosting Subscriber's Website content; (iii) ensure the security, confidentiality and integrity of all of Hosting Subscriber's Website content transmitted through or stored on Broadjam servers; and (iv) ensure the confidentiality of Hosting Subscriber's password  Broadjam's servers and Hosting Services are not an archive and Broadjam shall have no liability to Hosting Subscriber or any other person for loss, damage or destruction of any of Hosting Subscriber's content  If Hosting Subscriber's password is lost, stolen or otherwise compromised, Hosting Subscriber shall promptly notify Broadjam, whereupon Broadjam shall suspend access to Hosting Subscriber's Website by use of such password and issue a replacement password to Hosting Subscriber or Hosting Subscriber's authorized representative  Broadjam will not be liable for any loss that Hosting Subscriber may incur as a result of someone else using Hosting Subscriber's password or account, either with or without Hosting Subscriber's knowledge  However, Hosting Subscriber could be held liable for losses incurred by Broadjam or another party due to someone else using Hosting Subscriber's account or password 
(a) Broadjam does not tolerate the transmission of spam  We monitor all traffic to and from our Web servers for indications of spamming and maintain a spam abuse compliant center to register allegations of spam abuse  Customers suspected to be using Broadjam products and services for the purposeof sending spam are fully investigated  Once Broadjam determines there is a problem with spam, Broadjam will take the appropriate action to resolve the situation  Our spam abuse compliant center can be reached by email at hosting@broadjam com 
(c) Broadjam will not allow its servers or services to be used for the purposes of spam as described above  In order to use our products and services, Hosting Subscriber shall abide by all applicable laws and regulations, including but not limited to the Can-Spam Act of 2003 and the Telephone Consumer Protection Act, as well as Broadjam's no-spam policies  Commercial advertising and/or bulk emails or faxes may only be sent to recipients who have already "opted-in" to receive messages from the sender specifically  They must include a legitimate return address and reply-to address, the sender's physical address, and an opt-out method in the footer of the email or fax  Upon request by Broadjam, conclusive proof of optin may be required for an email address or fax number 
(d) If Broadjam determines that Hosting Services are being used in association with spam, Broadjam will re-direct, suspend, or cancel such Hosting Service for a period of no less than 2 days  The Hosting Subscriber will be required to respond by email to Broadjam stating that Hosting Subscriber will cease to send spam and/or have spam sent on their behalf  Broadjam will require a non-refundable reactivation fee to be paid before Hosting Subscriber's Website, email boxes and/or other Hosting Services are reactivated  In the event Broadjam determines the abuse has not stopped after services have been restored the first time, Broadjam may terminate all Services associated with the Hosting Subscriber 
This Article IV applies to all Users 
Fees and prices appearing on the Site are based on United States dollars  Payments for any Service or purchase made on or through the Site shall be made to Broadjam in United States dollars, except as provided in Section 4 05 herein 
You agree to pay for all fees and charges incurred under your Broadjam account or Username  If you have configured the account associated with your Username (your "Account") to pay for Services or purchases with a credit or debit card or similar form of payment (a "Card" payment method), you authorize any and all charges and fees incurred under your Account to be billed from time to time to your Card account  Regardless of the method of payment, it is your sole responsibility to advise Broadjam of any billing problems or discrepancies within thirty (30) days after such discrepancies or problems become known to you  Your Card issuer agreement governs the use of your designated Card account in connection with any fee, purchase or Service; you must refer exclusively to such issuer agreement, and not this Agreement, to determine your rights and liabilities as a Cardholder  If you submit a payment that results in Broadjam being charged non-sufficient funds, chargeback fees, or other similar fees, you agree to reimburse all such fees 
Monthly Billing Subscriptions  No refunds will be issued for monthly billing subscriptions  If monthly billing is selected and is not cancelled by the end of the monthly period (30 days from the sign up date), your Card will be billed at the beginning of the next 30 day period  In order to avoid additional charges to your Card, you must contact Broadjam Customer Service by email (customerservice@broadjam com) at least 5 days before your next billing period, to cancel your Subscription Service  Your email should include the following: registered name on the account, registered email address on the account, and the service to be cancelled  Notice will be followed by a confirmation request from Broadjam Customer Service  Confirmation is required to implement cancellation 
(a) Merchants who elect to be paid in Purchase Credits ("PCs") for sales at Broadjam, Buyers who choose to purchase PCs and Users who otherwise obtain PCs (collectively, "Holders" of PCs) shall hold PCs subject to the provisions of this Section 4 05 as well as all rules and policies posted on the Site relating to PCs 
(b) PCS ARE NONRETURNABLE AND NONREFUNDABLE 
(c) PCs do not have an expiration date  However, if there exists rules defined by the laws of your state that require Broadjam to terminate your right to use PCs if you have not used them within a specified number of years  Under those laws, Broadjam will attempt to contact you before terminating your right to use PCs 
(e) Holders shall have no right to demand cash or any other thing of value in exchange for PCs, except as provided in Section 4 05 (d) 
(f) Interest shall not accrue on PCs 
(a) Buyers who choose to purchase the Primo MoB membership which includes complimentary Weekly Submission Credits ("WSCs") for the term of the membership purchased for use towards Music Licensing Opportunities services and shall hold WSCs subject to the provisions of this Section 4 06 as well as all rules and policies posted on the Site relating to WSCs 
(b) WSCs ARE NONRETURNABLE AND NONREFUNDABLE 
(c) One WSC is available for use each week for the duration of the membership purchased  One WSC is available each week starting Sunday at 12:00 am midnight CST  If unused, each WSC will expire on the following Sunday at 11:59 pm CST 
ii  wholly controlled by Broadjam 
(f) Holders shall have no right to demand cash or any other thing of value in exchange for WSCs, except as provided in Section 4 06 (e) 
(g) Interest shall not accrue on WSCs 
(a) Buyers who choose to purchase the Film/TV membership which includes complimentary Monthly Submission Credits ("MSCs") for the term of the membership purchased for use towards Music Licensing Opportunities services and shall hold MSCs subject to the provisions of this Section 4 07 as well as all rules and policies posted on the Site relating to MSCs 
(b) MSCs ARE NONRETURNABLE AND NONREFUNDABLE 
(c) One MSC is available for use each month for the duration of the membership purchased  One MSC is available each month starting the first day of the month at 12:00 am midnight CST  If unused, each WSC will expire on the last day of the month at 11:59 pm CST 
(f) Holders shall have no right to demand cash or any other thing of value in exchange for MSCs, except as provided in Section 4 07 (e) 
(g) Interest shall not accrue on MSCs 
Checks issued by Broadjam to any User, for any purpose, are VOID after 180 days from the date of issue  Users who fail to cash Broadjam-issued checks within such 180-day period will be charged a $2 00 fee for re-depositing funds from the stale check to the User's account  Users requesting replacement checks will be charged an additional $5 00 fee for issuance of the replacement check 
The following shall apply if you purchase Broadjam's Deliveries services 
Refunds will not be issued for Broadjam Deliveries services  If you experience a technical problem related to Broadjam Deliveries services, Broadjam will take steps in accordance with Section 1 10 to ensure your transaction is completed successfully  Broadjam may at its sole discretion convey complimentary services to you in the event of a verified technical problem 
The following shall apply if you purchase Broadjam's Music Software services 
Refunds will not be issued for Music Software services  If you experience a technical problem related to Broadjam Music Software services, Broadjam will take steps in accordance with Section 1 10 to ensure your transaction is completed successfully  Broadjam may at its sole discretion convey complimentary services to you in the event of a verified technical problem 



ground_truth: No excessive overloading and no use for illegal activity.

prompt_front: Now, answer the following question based on the text below, only give me the answer and do not output any other words.

Question: How does the receptive field size affect the completion of shapes?

Read the following text and answer briefly.

Context 3:  Taking these two at the same time, we came up with a novel loss term for energy minimization term that helps us remove the need for the mask in the case of the contour completion problem:
In this term, we introduce a linear combination of the two loss terms, where one focuses on reconstructing the missing regions in the foreground, and one focuses on avoiding inpainting regions in the background  The logic behind this is that, if we assume the original image to be representative of the mask, then the model tries to reconstruct in all white regions (the foreground), and in the inverse problem we just want to reconstruct the regions that are already part of the ground truth 

Stopping Criteria

As shown in Figure , knowing when to stop iterating to the over-fitted model is a key to obtaining a completed shape  Therefore, we equipped our model with a criterion that uses two individual novel terms to know when to stop and output the result of the network  These two metrics expand the capability of the generator network beyond what it does currently and achieve a full end-to-end contour completion model that trains and infers on a single image of divided contour fragments 
These new terms are: reconstruction_score (ρ) and overfit_score (ω) 

Reconstruction Score

The first score that this paper suggests is the reconstruction score, i  e , we have to make sure that the model is trained enough that it can reconstruct at least the entire set of fragmented contours within the image  This is a trivial score and to compute the reconstruction_score (ρ), we apply a k-dimensional tree (KDTree) nearest-neighbor lookup to find the ratio of points in the original incomplete image (x 0 ) 
This score ranges from [0 − 100] 

Overfit Score

It is evident that the model overfits the fragmented contours  This is due to the fact that the error in our loss term is minimized as the x overfits to x I , i  e , replacing x with x I in the loss term would give us zero  As we hypothesize iterative process also produces the complete image before it overfits to the incomplete image, we can imagine that at some point the image is complete (x C ) and does not need to be fine-tuned any more to overfit to x I  
We suggest a new score called overfit_score  overfit_score determines how much of the reconstructed outcome is over the number of pixels that are already in the incomplete image (x I )  To compute the overfit_score (ω), we apply a k-dimensional tree (KDTree) nearest-neighbor lookup of points in the outcome of the input image and see what portions of those points are novel and not already in the incomplete image (x I ) 
Similar to reconstruction_score, the overfit_score also ranges from [0 − 100]  Our goal is to maximize reconstruction_score and minimize the overfit_score, but we should consider that the minimization lower bound is data dependent and is not zero 

Combined Score

To be able to find the best possible set of completed contours, we combine the two and have a loop that tries to achieve close to full reconstruction and avoids over-fitting at the same time  This is what we call an "ideal" stopping point in the contour completion problem  In each run throughout all iterations, we pick an output of the network that minimizes a dissimilarity term:
where δ represents our dissimilarity score  The reconstruction_score and overfit_score are obtainable given network output and the incomplete image  Ideally, we want to achieve an output image that has a reconstruction_score equal to 100 and an overfit_score of γ which is a hyperparameter that is dependent on the image and complexity of the shape 
Empirically, we observed that this value is highly correlated with the distance between gaps that are observed in fragmented contours, i  e , the larger the gap results in a larger γ value  We will discuss this in more detail in the next section (see Section 3)  For one sample image, we computed the two metrics reconstruction_score and overfit_score and the combined value of dissimilarity (δ) and showed how these values change (see Figure ) 
Our initial observations show that the reconstruction_score will increase to 100 quickly for the incomplete image indicating that the already existing fragments of the contours have been reconstructed in the output  However, as mentioned previously, we cannot solely rely on this score since we also want to minimize the overfitting 
Remember that our goal is to produce an output that: a) preserves the original contours in the incomplete image and b) fills in the gaps between the fragmented contours  It is evident that overfit_score decreases throughout an iterative run of our process until it reaches zero  The dissimilarity will also decrease along with the overfit to a point, then it will increase, as the model tries to reproduce the incomplete image 
This is where an ideal γ value can be picked, i e , where to stop when the reconstruction is good but we have not done a full overfit to the incomplete image  Thus, one should pick the value of γ empirically in the scenario that the ground truth is not available, whereas, assuming that the ground truth is available, we can easily compute the best γ value 
In our experiments, we tried two datasets of images with different gap sizes  We observed that the best the γ for one set of samples is ∼ 5 (the set with shorter gaps) while it is ∼ 23 for samples from the other set, i  e, the set with longer gaps (see Figure for some completed examples) 

Experiments and Results

Performing unsupervised contour completion is a difficult task to benchmark as one can never know what fragments exactly are connected to each other in a real-world scenario  This makes the problem of contour completion a hard problem to solve  In this paper, we tried to create artificial shapes that are occluded by some masks and then tried to see if our model can regenerate the missing pieces and glue those divided contours together 
To demonstrate our model's behavior, we will conduct experiments on datasets created for this task and will report on them in this section  To compare network results in different settings, we will use pixel-wise Mean Squared Error (MSE) and Intersection over Union (IoU) between the produced result of the network and unmasked ground truth data and the reconstructed image on black pixels (where contours live) 

Data

We prepared two datasets, one labeled "Simple" and one "Complex", in accordance with the number of gaps in each shape  Both datasets contain nine different categories of shapes  In order to generate the Complex dataset, we used FlatShapeNet which is a dataset for the educational game Ariga  The dataset includes the following categories: Circle, Kite, Parallelogram, Rectangle, Rhombus, Square, Trapezoid, Triangle and Overlap 
The "overlap" category contains images that are made as a mixture of two shapes that are overlapping from the previous categories  These are some standard shapes with a few gaps in simple dataset, while the complex dataset has some hand-drawn shapes with fragmented lines and more gaps that produce more variety in general 
For each instance, a ground truth image is available for comparison  Most of our experiments have been conducted using the complex dataset in order to evaluate the generalization of our approach  For the analysis of how γ values should be set for each shape, we used the simple dataset as a reference 

Evaluation

In this section, we compare our model to the original Deep Image Prior (DIP) inpainting model  DIP's inpainting module accepts a degraded image and a binary mask corresponding to that image  In order to make a fair comparison, instead of providing a binary mask, we used the incomplete images both as input and as a mask in order to see whether it can produce a result similar to ours 
For DIP, we run the iterative process for a maximum number of 2500 iterations with the U-net backbone  We used the exact same architecture and setting in our model for a fair comparison  Using our ground truth dataset images, we calculate the MSE loss between the network output and ground truth during each iteration instead of relying on our stopping mechanism described in the previous section 
We then store the output with minimal loss throughout all the iterations  Finally, we select the best output among all iterations, report the MSE and IoU with the ground truth, and save the iteration number which resulted in the lowest MSE  Table compares the results that are obtained using the DIP method, the DSP method (ours), and the difference between raw images and the ground truth 
We have presented the average MSE-loss, average IoU, and the average number of iterations for the best output for different methods  As can be seen from the table, our model improves both MSE and IoU between the incomplete image and ground truth in fewer iterations  The DIP method can neither generate a better result than the raw image nor provide stopping criteria to prevent overfitting 
We provide a more detailed analysis of this result in Figure   As results show, our algorithm not only provides a much faster convergence but also consistently provides a better-completed image (consistently less MSE loss and better IoU), whereas it is challenging for the DIP method to accomplish better results without a guiding mask 
We compare MSE loss between the degraded raw images that these algorithms started with (shown in blue) (a) Mean Squared Error Loss: we clearly see that for almost all images, DSP (green) achieves a lower MSE than the incomplete images (blue) whereas, the DIP completed images either do not improve the MSE or even worsen that for the incomplete images 
Note that, the MSE is computed to an available ground truth image hidden from our methods (the lower is better)  (b) Intersection Over Union: here, we are looking at the IoU metric that specifies the amount of intersection over the union between the obtained images and the ground truth data  Again, we see that DSP produces images that are much closer to the ground truth (in most cases) whereas the DIP can not achieve a similar result 
While we see few DIP completed images produce a better IoU than the degraded images (in terms of IoU), most of them are worse than the starting image (the higher is better)  (c) The number of iterations that are needed for each algorithm to obtain its best results  Here, we see that DSP can quickly produce the best outcome with the least MSE loss whereas the DIP algorithm's best results are when we run the iterative process for more iterations (the lower is better) 

Correlation of γ with the Gap Size

To better understand the γ parameter of our combined score, we conducted the following experiment  A total of 12000 samples were obtained by merging all of our images from the two datasets, simple and complex  As we have access to the ground truth for each degraded image in the combined dataset, we can easily calculate reconstruction_score and overfit_score for each degraded-ground truth pair 
As expected, we obtain a reconstruction_score of 100 for all samples, but the overfit_score varies among them  Intuitively, we hypothesized that an optimal value of overfit score should be intertwined with the total area of gaps  To test this hypothesis, we did the following experiment  We first define a function φ(x) which takes a binary, black and white image x and returns the number of black pixels in it 
Then we define a gap term as follows: where x I is the incomplete image and x gt is the ground truth  In this case, gap indicates the total area of the gap with respect to the whole shape  We found out that this term and the best result have a correlation of 97 43%  This indicates that the value of γ is highly correlated with the gap size, that is something expected in a way 

Effect of α

We conducted additional experiments concerning how α affects the quality of reconstruction  In the previous section, we defined Equation 2 as the loss term that guides our iterative process  The term α specifies the amount of emphasis the model should place on reconstructing missing regions, rather than filling in fragmented contours 
A lower α indicates a better grouping quality, as shown in Equation   However, we will not achieve completion if we remove the first term completely from the loss by setting α = 0  Therefore, the first term should be kept, but its weight should be very low in order to achieve a good completion  On the other hand, if we set α = 1 and omit the second term, we lose the contour completion regularization term and obtain the same output as a vanilla deep image prior, which does not complete shapes 

Effect of Receptive Field Size

To better understand the effect of receptive field size on our algorithm, we test the following hypothesis: can models with bigger receptive field size complete shapes with bigger gaps? In Table , we report showing the results of this experiment  As we can see, the bigger the receptive field size, the more complete shapes we can reconstruct using DSP 

Implementation Details

As shown in Figure , we use a model with 5 layers and 128 channels for downsampling and upsampling convolutions, and 64 channels for skip convolutions  The upsampling and downsampling modules use 3 × 3 filters, while the skip module uses 1 × 1 filters  In the upsample part of the network, the nearest neighbor algorithm is used 
We used 256 × 256 images with three channels in all of our experiments  In training, we use the MSE loss between the degraded image and the output of the network, and we optimize the loss using the ADAM optimizer and a learning rate equal to 0 01   In our experiments, we also used α = 0 15 as an optimal proportion coefficient for reconstruction loss 

Conclusion

In this work, we introduced a novel framework for contour completion using deep structure priors (DSP)  This work offers a novel notion of a maskless grouping of fragmented contours  In our proposed framework, we introduced a novel loss metric that does not require a strict definition of the mask  Instead, it lets the model learn the perceivable illusory contours and connects those fragmented pieces using a generator network that is solely trained on just the single incomplete input image 
Our model does not require any pre-training which demonstrates that the convolutional architecture of the hour-glass model is able to connect disconnected contours  We present an extended set of experiments that show the capability of our algorithm  We investigate the effect of each parameter introduced in our algorithm separately and show how one could possibly achieve the best result for their problem using this model 
In future work, we plan to extend this model and try to see how it performs with real images  In particular, we want to determine whether we can inpaint real-world photographs while retaining perceptually aware scene structures  The importance of shape in perception by deep neural networks has been highlighted in many adversarial examples to appearance-based networks  
The outcome of this work has strong potential to impact the designing and implementation of models that are robust to such perturbations 



ground_truth: Bigger receptive field size leads to more successful shape completion.