Miracle-dz/UniFAR-FTUs huggingface dataset:
Detecting In-Game Play Event in Live Esports Stream

Recently, the multiplayer online battle arena (MOBA) genre has been growing in popularity worldwide. Especially League of Legends (LoL) successfully hosts national leagues and world championships yearly with many worldwide fans. Following this popularity, there are attempts to make small-scale esports broadcasts to the public or amateurs in regional and internet broadcasts. However, there are many hurdles to providing sufficient broadcast services to the audience. Specifically, if the game does not provide application programming interfaces (APIs), it is hard to get instant information about in-game situations. In this paper, we propose an automatic in-game play event detection system that can get instant information without game APIs. The proposed system uses the machine learning classifier and analyzes the broadcast screens to detect in-game play events such as killing players and destroying buildings. Our experimental results show that the proposed system can automatically detect in-game play events in the live game streams.
Tau Content Prediction Based on Brain Network MLP-att Model

Machine learning is widely used in Alzheimer's disease (AD) research. Currently, brain imaging to identify tau protein content can help distinguish between cognitively normal older adults (CN), mild cognitive impairment (MCI), and AD. Imaging studies of tau protein have mainly used positron emission computed tomography (PET). However, PET testing is costly and causes radiation damage. It has been found that the accumulation and propagation of tau protein are closely related to the structure of brain networks. In this paper, we used rs-fMRI to calculate Pearson correlation coefficients of each brain region to obtain static functional connectivity matrices and modeled them using multilayer perceptron neural networks based on attention mechanism (MLP-att). Regression analysis of tau protein content using neural networks on the ADNI dataset had a RMSE of 105.8 and a MAE of 79.0, outperforming traditional machine learning algorithms.
Preliminary analysis of Risso's dolphin social structure in the Gulf of Taranto (Northern Ionian Sea, Central Eastern Mediterranean Sea)

The investigation into the social organization and population biology of cetaceans, as top predator and important sentinels of the health of the marine ecosystems, provides opportunities to study responses to anthropogenic disturbance and provides useful information for the development of conservation and management plans. Thus, in the present work the association pattern of 76 photo-identified individuals of Risso's dolphin sighted at least 5 times in the Gulf of Taranto, from July 2013 to September 2021, was analyzed to describe their population social structure, providing new important evidence for the conservation of the species. Indeed, even though most of our results seems to describe a fission fusion social structure, characteristic of a not isolated or socially segregated community, a certain degree of preferred association within individuals, sex and age classes supports the hypothesis of a more complex and structured society. Further studies are needed to investigate this scenario.
Modeling and Analysis of Five-Level Reduced Switch Inverter Based Bidirectional Isolated DC-DC Converter

This paper addresses the modeling and analysis of a new bidirectional isolated dc-dc converter (BIDC) based on a multilevel inverter topology. The novelty of the study is the utilization of the reduced switch five-level inverter topology instead of the conventional full-bridge dual active bridge. It has the advantage of lower voltage/current stress on the switches at higher voltages as compared to traditional BIDCs. Power transfer between primary and secondary sides is controlled by PI controller-based single phase shift (SPS) modulation technique. The proposed converter stands out for having: i) employing a reduced number of switches compared to other multilevel inverter-based bidirectional dc-dc converter topologies ii) high voltage gain iii) low harmonic level iv) suitable for integrating multiple input multiple output electrical systems and to be used in bipolar dc microgrid applications. In order to validate the performance of the proposed converter, a simulation model has been developed in Matlab/Simulink environment. The performance of the suggested converter and the controller scheme under steady-state and dynamic conditions have been revealed through the simulation results.
Multiband Slot Antenna with DGP for Future Wireless Applications

This manuscript describes a multiband slot antenna with a defective ground structure at ground plane for future wireless applications. The Global Positioning System (GPS), Wireless Area Network (WLAN), Worldwide Interoperability for Microwave Access (WiMAX), V2V communication, and X-band and C band for satellite communications are all supported by a six-band microstrip multiband slot antenna. Six distinct frequency bands are created by utilizing a T curved microstrip patch, inverted one T curved stub, two E curved stubs, and a rectangular slot at the ground plane with a compact size of 48x18mm2 (where Ag is the guide wavelength). The form factor of filtering antenna is miniature than the other antennas discussed in the literature. The six-band slot antenna is proposed using IE3D software. We got good simulation results to show that the antenna is designed for multiple frequency bands from 1.347-1.46GHz for the GPS system, 3.256-3.527GHz for Wi-MAX, 5.074-5.431GHz for IEEE 802.11a WLAN, 5.825-5.974GHz for IEEE 802.11p V2X communication, 7.146-7.429GHz for C band and 8.275-8.684GHz for X band in satellite communication.
Monitoring and Diagnosis of Electrical Equipment by Infrared Thermography

The paper aims to present the procedure applied to the monitoring and diagnosis of thermal stresses of electrical equipment by means of infrared technique. A case study is presented with an analysis of an event identified by infrared thermography. The warmer the body in question, the higher the energy emitted in the form of infrared radiation. Basically, infrared (IR) thermography also allows us to see what we cannot normally see with the naked eye. Infrared thermographic cameras allow viewing the thermal spectrum and identifying problems by quantifying them in a non-contact measurement and presenting the results obtained in the form of technical reports. If either faulty electrical equipment or unsuitable electrical charging conditions, or damaged metal or non-metallic components are encountered, they are usually due to abnormal temperature patterns that can be highlighted by infrared thermographic cameras. Monitoring and diagnosing the thermal stresses of electrical equipment by infrared thermography is one of the most common methods currently applied in transformer substations.
The value of mood measurement for regulating negative influences of social media usage: A case study of TikTok

Social media usage has greatly increased during the pandemic. The use of social media has been linked to mental health consequences. Especially TikTok is under scrutiny because of its captivating UX Design as well as controversial privacy policies. This study shows how Mobile Affective Computing Research can reliably and objectively measure the implicit-emotional UX. The results suggest that TikTok triggers positive emotions during onboarding and strengthens the emotional bond with increasing usage - mainly due to the personalization algorithm. In particular, the study further reveals that there are no clear relationships when “only self-reported data” is used to understand app usage behavior. However, emotion data based on facial coding shows that TikTok users get emotionally aroused. Initially, a positive and relaxed mood triggers further usage time, while - counter-intuitively - later sessions result in an increasingly negative and aroused mood. However, people are largely unaware of these relationships when questioned. Thus, implicit measures, such as facial coding, may help identify valid social media usage reactions. These results yield implications that call for political regulation considering aspects of social media apps and user behavior.
Low-Complexity MIMO Demodulator with Quasi-optimal Error Rate Performance

This paper proposes a multiple-input multiple-output (MIMO) demodulating technique based on QR-decomposition, that is able to achieve a quasi-optimal Bit-Error Rate (BER) performance while requiring a polynomial computational effort of the same order as Linear demodulators. The proposed algorithm offers a flexible trade-off between arithmetic complexity and noise immunity by fine-tuning the algorithm parameters to meet the desired characteristics. The complexity of the proposed algorithm, as well as the simulation results of BER performance, are demonstrated in multiple MIMO scenarios and compared with other conventional demodulators.
A formula for the wall-amplified added mass coefficient for a solid sphere in normal approach to a wall and its application for such motion at low Reynolds number

This work re-examines the potential flow theory for a sphere in normal approach to a wall, based on the classical results derived by Lamb [Hydrodynamics (Dover, New York, 1932)] and Milne-Thomson [Theoretical Hydrodynamics, 5th ed. (Dover, New York, 1968)]. These authors generated an expression in which the kinetic energy for a sphere in an unbounded fluid is augmented by a wall correction function in terms of an infinite series that depends on the scaled center-to-wall distance, h∗=h/a, with a denoting the sphere radius. By truncating the series at the order of h∗−3, the resulting one-term correction function, 3/8h∗−3, is widely employed to approximate the wall-amplified added mass coefficient, CAM(h∗), in multiphase flow research. Nonetheless, this work shows that this one-term correction deviates greatly from corrections including higher order terms when the interstitial gap drops below the half sphere radius. Thus, an explicit formula is developed, for all h∗, using a near-wall Pade approximation, an .
Hausdorff closed limits and the causal boundary of globally hyperbolic spacetimes with timelike boundary

We show that when a spacetime $\mathcal{M}(=M \cup \partial M)$ is globally hyperbolic with (possibly empty) smooth timelike boundary $\partial M$, a metrizable topology, the closed limit topology (CLT) introduced by F. Hausdorff himself in the 1950's in set theory, can be advantageously adopted on the Geroch-Kronheimer-Penrose causal completion of M, retaining essentially all the good properties of previous topologies in this ambient. In particular, we show that if the globally hyperbolic spacetime $M$ admits a conformal boundary, defined in such broad terms as to include all the standard examples in the literature, then the latter is homeomorphic to the causal boundary endowed with the CLT. We also discuss how our recent proposal arXiv:1807.00152 for a definition of null infinity using only causal boundaries can be translated when using the CLT, simplifying a number of technical aspects in the pertinent definitions. In a more technical vein, in the appendix we discuss the relationship of the CLT with the more generally applicable (but not always Hausdorff) chronological topology, and show that they coincide exactly in those cases when the latter happens to be Hausdorff.
From a monotone probabilistic scheme to a probabilistic max-plus algorithm for solving Hamilton-Jacobi-Bellman equations

In a previous work, we introduced a lower complexity probabilistic max-plus numerical method for solving fully nonlinear Hamilton-Jacobi-Bellman equations associated to diffusion control problems involving a finite set-valued (or switching) control and possibly a continuum-valued control. This method was based on the idempotent expansion properties obtained by McEneaney, Kaise and Han (2011) and on the numerical probabilistic method proposed by Fahim, Touzi and Warin (2011) for solving some fully nonlinear parabolic partial differential equations. A difficulty of the latter algorithm is in the critical constraints imposed on the Hamiltonian to ensure the monotonicity of the scheme, hence the convergence of the algorithm. Here, we propose a new "probabilistic scheme" which is monotone under rather weak assumptions, including the case of strongly elliptic PDE with bounded derivatives. This allows us to apply our probabilistic max-plus method in more general situations. We illustrate this on the evaluation of the superhedging price of an option under uncertain correlation model with several underlying stocks, and consider in particular the case of 5 stocks leading to a PDE in dimension 5.
Quivers and moduli spaces of pointed curves of genus zero

We construct moduli spaces of representations of quivers over arbitrary schemes and show how moduli spaces of pointed curves of genus zero like the Grothendieck-Knudsen moduli spaces $\overline{M}_{0,n}$ and the Losev-Manin moduli spaces $\overline{L}_n$ can be interpreted as inverse limits of moduli spaces of representations of certain bipartite quivers. We also investigate the case of more general Hassett moduli spaces $\overline{M}_{0,a}$ of weighted pointed stable curves of genus zero.
Degree-inverting involutions on matrix algebras

Let $F$ be an algebraically closed field of characteristic zero, and $G$ be a finite abelian group. If $A=\oplus_{g\in G} A_g$ is a $G$-graded algebra, we study degree-inverting involutions on $A$, i.e., involutions $*$ on $A$ satisfying $(A_g)^*\subseteq A_{g^{-1}}$, for all $g\in G$. We describe such involutions for the full $n\times n$ matrix algebra over $F$ and for the algebra of $n\times n$ upper triangular matrices.
Numerical approaches for some Nonlinear Eigenvalue Problems

In this article we are interested for the numerical study of nonlinear eigenvalue problems. We begin with a review of theoretical results obtained by functional analysis methods, especially for the Schrodinger pencils. Some recall are given for the pseudospectra. Then we present the numerical methods and results obtained for eigenvalues computation with spectral methods and finite difference discretization, in infinite or bounded domains. Comparison with theoretical results is done. The main difficulty here is that we have to compute eigenvalues of strongly non-self-adjoint operators which are very unstable.
Exceptional collections on toric Fano threefolds and birational geometry

Bernardi and Tirabassi show the existence of full strong exceptional collections consisting of line bundles on smooth toric Fano $3$-folds under assuming Bondal's conjecture, which states that the Frobenius push-forward of the structure sheaf $\mc O_X$ generates the derived category $D^b(X)$ for smooth projective toric varieties $X$. In this article, we show Bondal's conjecture for smooth toric Fano $3$-folds and also improve their result, using birational geometry.
Correlated topographic and spectroscopic imaging beyond diffraction limit by atomic force microscopy metallic tip-enhanced near-field fluorescence lifetime microscopy

A near-field optical imaging approach is demonstrated for simultaneous topographic and spectroscopic imaging with spatial resolution beyond the optical diffraction limit. The method combines metallic-tip-based tapping-mode atomic force microscopy (AFM) with fluorescence lifetime imaging microscopy (FLIM). The AFM metallic tip was formed by sputter coating a Si tapping mode tip with Au, in a way that forms a globular tip apex. Such tip apex generates high local electric field enhancement under laser illumination, which provides a strong electric-field interaction between the AFM tip and the fluorescent molecules under the tip. The tip perturbation of fluorescence gives the fluorescence lifetime changes that provide the AFM–FLIM imaging contrast. A finite element method simulation was used to further evaluate the electric near-field enhancement and electric field distribution originating from the metallic Au-coated AFM tapping-mode tip. We have demonstrated that spatially mapping the change in fluorescence .
Remark on dyadic pointwise domination and median oscillation decomposition

In this note, we do the following: a) By using Lacey’s recent technique, we give an alternative proof for Conde-Alonso and Rey’s domination theorem, which states that each positive dyadic operator of arbitrary complexity is pointwise dominated by a positive dyadic operator of zero complexity: ∑ S∈S ⟨f⟩ S(k) 1S ≲ (k + 1) ∑ S′∈S′ ⟨f⟩ S′ 1S′ . b) By following the analogue between median and mean oscillation, we extend Lerner’s local median oscillation decomposition to arbitrary (possibly non-doubling) measures: ∣f −m(f, Ŝ0)∣1S0 ≲ ∑ S∈S (ωλ(f ;S) + ∣m(f,S) −m(f, Ŝ)∣)1S . This can be viewed as a median oscillation decomposition adapted to the dyadic (martingale) BMO. As an application of the decomposition, we give an alternative proof for the dyadic (martingale) John–Nirenberg inequality, and for Lacey’s domination theorem, which states that each martingale transform is pointwise dominated by a positive dyadic operator of complexity zero.
Reverse-Order Law of tensors Revisited

The equality $(\mathcal{A}_{*N}\mathcal{B})^\dagger = \mathcal{B}^\dagger_{*N} \mathcal{A}^\dagger$ for any two complex tensors $\mathcal{A}$ and $\mathcal{B}$ of arbitrary order, is called as the {\it reverse-order law} of tensors. Panigrahy {\it et al.} [Linear Multilinear Algebra; 2018. Doi: 10.1080/03081087.2018. 1502252] studied very recently the reverse-order law of the Moore--Penrose inverse of even-order tensors via the Einstein product. This notion is revisited for tensors of any order. In this context, we provide a new expression of the Moore--Penrose inverse of an arbitrary order tensor via the Einstein product. We again obtain some new sufficient conditions for the reverse-order law for the Moore--Penrose inverse of even-order square tensors. We then present several characterizations for tensors of any order to hold the reverse-order law via the same product.
Comparing Search Algorithms on the Retrosynthesis Problem

In this article we try different algorithms, namely Nested Monte Carlo Search and Greedy Best First Search, on As-traZeneca’s open source retrosynthetic tool : AiZynthFinder. We compare these algorithms to AiZynthFinder’s base Monte Carlo Tree Search on a benchmark selected from the Pub-Chem database and by Bayer’s chemists. We show that both Nested Monte Carlo Search and Greedy Best First Search outperform AstraZeneca’s Monte Carlo Tree Search, with a slight advantage for Nested Monte Carlo Search while experimenting on a playout heuristic. We also show how the search algorithms are bounded by the quality of the policy network, in order to improve our results the next step is to improve the policy network.
Harmonic Analysis/Functional Analysis BMO is the intersection of two translates of dyadic BMO

Let T be the unit circle on R 2 . Denote by BMO(T) the classical BMO space and denote by BMOD(T) the usual dyadic BMO space on T. Then, for suitably chosen δ ∈ R, we have � ϕ� BMO(T) � ϕ� BMOD(T) +� ϕ( ·− 2δπ)� BMOD(T), ∀ϕ ∈ BMO(T).
A COUPLED LEVEL SET AND VOLUME-OF-FLUID METHOD FOR THE BUOYANCY-DRIVEN MOTION OF FLUID PARTICLES

A level set method is combined with the volume-of-fluid method so that the coupled method not only can calculate an interfacial curvature accurately but also can achieve mass conservation well. The coupled level set and volume-of-fluid (CLSVOF) method is applied to the buoyancy-driven motion of fluid particles. For its easy and efficient implementation, we develop a complete and efficient interface reconstruction algorithm which is based on the explicit relationship between the interface configuration and the fluid volume function. Also, a cubic-interpolated propagation (CIP) scheme is combined with the CLSVOF method to calculate the advection terms of the momentum equation accurately. The improved CLSVOF method is applied for numerical simulation of bubbles and drops rising or falling in a quiescent fluid. The numerical results are found to preserve mass conservation and to be in good agreement with the data reported in the literature.
The construction of unramified cyclic quartic extensions of (

We give an elementary general method for constructing fields K satisfying (K: Q) = 8, the Galois group of K over Q is dihedral, and K is unramified over one of its quadratic subfields. Given an integer m, we describe all such fields K which contain Q(Vm). The description is specific and is given in terms of the arithmetic of the quadratic subfields of K. 0. Introduction. In this paper we give an elementary general method for construct- ing fields K which have the following properties: (K: Q) 8, the Galois group of K over Q is dihedral, and K is unramified over one of its quadratic subfields. Our procedure is from the ground up, so to speak: Given a quadratic field Q(vm_) we describe those fields K (as above) which contain Q(Vm). The description is specific and entirely in terms of the arithmetic behavior of the quadratic subfields of K. One application of this work is in finding, for a fixed Q(v'), all of its cyclic unramified extensions of degree 4. Results of this nature are already known for special values of m, n, and with extensions of higher degree than 4; see, e.g., (1), (3), (5). We feel that our method is more precise and better adapted for use as an actual construction. In addition, we require no restrictions on m.
Structural properties of pseudorandom arrays and volumes and their related sequences

The structure of two-and three-dimensional pseudorandom arrays produced by the folding of binary and multiple-valued m-sequences is investigated. This procedure is shown to be related to the process of sequence sampling, and this enables the recursions corresponding to the rows and columns of the arrays to be related to that of the parent m-sequence. These recursions then determine the nature of symmetries which may be apparent in the arrays. It is also demonstrated that pseudorandom volumes can be constructed by folding any one of the three related two-dimensional arrays. The structure of arrays derived from twin-prime pseudorandom sequences is also investigated. Tables of the available binary and multiple-valued PRAs and PRVs are appended.
A New Algorithm to Simulate the First Exit Times of a Vector of Brownian Motions, with an Application to Finance

We provide a new methodology to simulate the first exit times of a vector of Brownian motions from an orthant. This new approach can be used to simulate the first exit times of dimension higher than two. When at least one Brownian motion has non-zero drift, the joint density function of the first exit times in N dimensions needs to be known, or approximated. However, when the drifts are all zero, a simpler simulation algorithm is obtained without using the joint density function.
Tail Index Estimation, Pareto Quantile Plots, and Regression Diagnostics

Abstract Successful application of extreme value statistics for estimating the Pareto tail index relies heavily on the choice of the number of extreme values taken into account. It is shown that these tail index estimators can be considered estimates of the slope at the right upper tail of a Pareto quantile plot, obtained using a weighted least squares algorithm. From this viewpoint, based on classical ideas on regression diagnostics, algorithms can be constructed searching for that order statistic to the right of which one obtains an optimal linear fit of the quantile plot.