cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
Maximal correlation and the rate of Fisher information convergence in the Central Limit Theorem
Creators: name: Johnson, Oliver
Publisher: name: arXiv
Year: 2019
Subjects: subject: Information Theory (cs.IT)
subject: Probability (math.PR)
subject: FOS: Computer and information sciences
subject: FOS: Mathematics

description: We consider the behaviour of the Fisher information of scaled sums of independent and identically distributed random variables in the Central Limit Theorem regime. We show how this behaviour can be related to the second-largest non-trivial eigenvalue associated with the Hirschfeld--Gebelein--Rényi maximal correlation. We prove that assuming this eigenvalue satisfies a strict inequality, an $O(1/n)$ rate of convergence and a strengthened form of monotonicity hold.
A mathematical model of demand-supply dynamics with collectability and saturation factors
Creators: name: Li, Y. Charles
name: Yang, Hong
Publisher: name: arXiv
Year: 2016
Subjects: subject: Mathematical Finance (q-fin.MF)
subject: Chaotic Dynamics (nlin.CD)
subject: FOS: Economics and business
subject: FOS: Physical sciences

description: We introduce a mathematical model on the dynamics of demand and supply incorporating collectability and saturation factors. Our analysis shows that when the fluctuation of the determinants of demand and supply is strong enough, there is chaos in the demand-supply dynamics. Our numerical simulation shows that such a chaos is not an attractor (i.e. dynamics is not approaching the chaos), instead a periodic attractor (of period 3 under the Poincaré period map) exists near the chaos, and co-exists with another periodic attractor (of period 1 under the Poincaré period map) near the market equilibrium. Outside the basins of attraction of the two periodic attractors, the dynamics approaches infinity indicating market irrational exuberance or flash crash. The period 3 attractor represents the product's market cycle of growth and recession, while period 1 attractor near the market equilibrium represents the regular fluctuation of the product's market. Thus our model captures more market phenomena besides Marshall's market equilibrium. When the fluctuation of the determinants of demand and supply is strong enough, a three leaf danger zone exists where the basins of attraction of all attractors intertwine and fractal basin boundaries are formed. Small perturbations in the danger zone can lead to very different attractors. That is, small perturbations in the danger zone can cause the market to experience oscillation near market equilibrium, large growth and recession cycle, and irrational exuberance or flash crash.
Trees, Parking Functions and Factorizations of Full Cycles
Creators: name: Irving, John
name: Rattan, Amarpreet
Publisher: name: arXiv
Year: 2019
Subjects: subject: Combinatorics (math.CO)
subject: FOS: Mathematics
subject: 05A15

description: Parking functions of length $n$ are well known to be in correspondence with both labelled trees on $n+1$ vertices and factorizations of the full cycle $σ_n=(0\,1\,\cdots\,n)$ into $n$ transpositions. In fact, these correspondences can be refined: Kreweras equated the area enumerator of parking functions with the inversion enumerator of labelled trees, while an elegant bijection of Stanley maps the area of parking functions to a natural statistic on factorizations of $σ_n$. We extend these relationships in two principal ways. First, we introduce a bivariate refinement of the inversion enumerator of trees and show that it matches a similarly refined enumerator for factorizations. Secondly, we characterize all full cycles $σ$ such that Stanley's function remains a bijection when the canonical cycle $σ_n$ is replaced by $σ$. We also exhibit a connection between our refined inversion enumerator and Haglund's bounce statistic on parking functions.
description: 23 pages, 8 figures
Grid patterns, spatial inter-scan variations and scanning reading repeatability in radiochromic film dosimetry
Creators: name: Méndez, I.
name: Šljivić, Ž.
name: Hudej, R.
name: Jenko, A.
name: Casar, B.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Medical Physics (physics.med-ph)
subject: FOS: Physical sciences

description: Purpose: When comparing different scans of the same radiochromic film, several patterns can be observed. These patterns are caused by different sources of uncertainty, which affect the repeatability of the scanner. The purpose of this work was to study these uncertainties. Methods: The variance of the scanner noise, as a function of the pixel position, was studied for different resolutions. The inter-scan variability of the scanner response was analyzed taking into account spatial discrepancies. Finally, the distance between the position of the same point in different scans was examined. Results: The variance of noise follows periodical patterns in both axes, causing the grid patterns. These patterns were identified for resolutions of 50, 72 and 96 dpi, but not for 150 dpi. Specially recognizable is the sinusoidal shape with a period of 8.5 mm that is produced with 72 dpi. Inter-scan variations of the response caused systematic relative dose deviations larger than 1% in 5% of the red channel images, 9% of the green and 51% of the blue. No systematic deviation larger than 1% was found after applying response corrections. The initial positioning and the speed of the scanner lamp vary between scans. Conclusions: Three new sources of uncertainty, which influence radiochromic film dosimetry with flatbed scanners, have been identified and analyzed in this work: grid patterns, spatial inter-scan variations and scanning reading repeatability. A novel correction method is proposed, which mitigates spatial inter-scan variations caused by deviations in the autocalibration of the individual Charge Coupled Device detectors.
The metric geometry of singularity types
Creators: name: Darvas, Tamás
name: Di Nezza, Eleonora
name: Lu, Chinh H.
Publisher: name: arXiv
Year: 2019
Subjects: subject: Differential Geometry (math.DG)
subject: Complex Variables (math.CV)
subject: FOS: Mathematics

description: Let $X$ be a compact Kähler manifold. Given a big cohomology class $\{θ\}$, there is a natural equivalence relation on the space of $θ$-psh functions giving rise to $\mathcal S(X,θ)$, the space of singularity types of potentials. We introduce a natural pseudometric $d_{\mathcal {S}}$ on $\mathcal S(X,θ)$ that is non-degenerate on the space of model singularity types and whose atoms are exactly the relative full mass classes. In the presence of positive mass we show that this metric space is complete. As applications, we show that solutions to a family of complex Monge-Ampère equations with varying singularity type converge as governed by the $d_\mathcal S$-topology, and we obtain a semicontinuity result for multiplier ideal sheaves associated to singularity types, extending the scope of previous results from the local context.
Strictly ergodic distal models and a new approach to the Host-Kra factors
Creators: name: Gutman, Yonatan
name: Lian, Zhengxing
Publisher: name: arXiv
Year: 2019
Subjects: subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics

description: Cocycles are a key object in Antolín Camarena and Szegedy's (topological) theory of nilspaces. We introduce measurable counterparts, named nilcycles, enabling us to give conditions which guarantee that an ergodic group extension of a strictly ergodic distal system admits a strictly ergodic distal topological model, revisiting a problem studied by Lindenstrauss. In particular we show that if the base space is a dynamical nilspace then a dynamical nilspace topological model may be chosen for the extension. This approach combined with a structure theorem of Gutman, Manners and Varjú applied to the ergodic group extensions between successive Host-Kra characteristic factors gives a new proof that these factors are inverse limit of nilsystems.
Counselling skills training and cognitive structure
Creators: name: McLennan, James Peter
Publisher: name: Monash University
Year: 2021

description: This thesis was scanned from the print manuscript for digital preservation and is copyright the author.
 Researchers can access this thesis by asking their local university, institution or public library to
 make a request on their behalf. Monash staff and postgraduate students can use the link in the Reference field.
Griffiths extremality, interpolation of norms, and Kähler quantization
Creators: name: Darvas, Tamás
name: Wu, Kuang-Ru
Publisher: name: arXiv
Year: 2019
Subjects: subject: Differential Geometry (math.DG)
subject: Complex Variables (math.CV)
subject: FOS: Mathematics

description: Following Kobayashi, we consider Griffiths negative complex Finsler bundles, naturally leading us to introduce Griffiths extremal Finsler metrics. As we point out, this notion is closely related to the theory of interpolation of norms, and is characterized by an equation of complex Monge--Ampère type, whose corresponding Dirichlet problem we solve. As applications, we prove that Griffiths extremal Finsler metrics quantize solutions to a natural PDE in Kähler geometry, related to the construction of flat maps for the Mabuchi metric.
description: v1. 17 pages v2. 22 pages. final version
Quantum State Effusion
Creators: name: Wiseman, Howard M.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Quantum Physics (quant-ph)
subject: History and Philosophy of Physics (physics.hist-ph)
subject: FOS: Physical sciences

description: I give a scientific perspective, with a personal emphasis, on the seminal 1992 paper, "The quantum-state diffusion model applied to open systems", by Gisin and Percival.
description: Viewpoint on a famous paper commissioned by J Phys. A for celebrating its 50th anniversary. There are slight differences from the published version
Complementary Speckle Patterns : deterministic interchange of intrinsic vortices and maxima through Scattering Media
Creators: name: Gateau, Jérôme
name: Rigneault, Hervé
name: Guillon, Marc
Publisher: name: arXiv
Year: 2016
Subjects: subject: Optics (physics.optics)
subject: FOS: Physical sciences

description: Intensity minima and maxima of speckle patterns obtained behind a diffuser are experimentally interchanged by applying a spiral phase delay of charge $\pm 1$ to the impinging coherent beam. This transform arises from the intuitive expectation that a tightly focused beam is so-changed into a vortex beam and vice-versa. The statistics of extrema locations and the intensity distribution of the so-generated "complementary" patterns are characterized by numerical simulations. It is demonstrated experimentally that the incoherent superposition of the three "complementary speckle patterns" yield a synthetic speckle grain size enlarged by a factor $\sqrt{3}$. A cyclic permutation of optical vortices and maxima is unexpectedly observed and discussed.
description: 9 pages, 9 figures
Secondary school size, curriculum structure, and resource use : a study in the economics of education
Creators: name: McKenzie, Phillip A.
Publisher: name: Monash University
Year: 2021

description: This thesis was scanned from the print manuscript for digital preservation and is copyright the author.
 Researchers can access this thesis by asking their local university, institution or public library to
 make a request on their behalf. Monash staff and postgraduate students can use the link in the Reference field.
Minimal Warm Inflation
Creators: name: Berghaus, Kim V.
name: Graham, Peter W.
name: Kaplan, David E.
Publisher: name: arXiv
Year: 2019
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: Slow-roll inflation is a successful paradigm. However we find that even a small coupling of the inflaton to other light fields can dramatically alter the dynamics and predictions of inflation. As an example, the inflaton can generically have an axion-like coupling to gauge bosons. Even relatively small couplings will automatically induce a thermal bath during inflation. The thermal friction from this bath can easily be stronger than Hubble friction, significantly altering the usual predictions of any particular inflaton potential. Thermal effects suppress the tensor-to-scalar ratio $r$ significantly, and predict unique non-gaussianities. This axion-like coupling provides a minimal model of warm inflation which avoids the usual problem of thermal backreaction on the inflaton potential. As a specific example, we find that hybrid inflation with this axion-like coupling can easily fit the current cosmological data.
description: 18 pages, 1 figure, v2: We added additional references and clarifying comments in the introduction. We added an estimate on thermalization in section III, and an additional comment on cosine-like potentials in section IV, and a footnote commenting on equation 12. v2 matches published version. v3 corrects several minor mistakes in equations in Sec.4
Inference in High-Dimensional Linear Regression via Lattice Basis Reduction and Integer Relation Detection
Creators: name: Gamarnik, David
name: Kızıldağ, Eren C.
name: Zadik, Ilias
Publisher: name: arXiv
Year: 2019
Subjects: subject: Statistics Theory (math.ST)
subject: Probability (math.PR)
subject: Machine Learning (stat.ML)
subject: FOS: Mathematics
subject: FOS: Computer and information sciences

description: We focus on the high-dimensional linear regression problem, where the algorithmic goal is to efficiently infer an unknown feature vector $β^*\in\mathbb{R}^p$ from its linear measurements, using a small number $n$ of samples. Unlike most of the literature, we make no sparsity assumption on $β^*$, but instead adopt a different regularization: In the noiseless setting, we assume $β^*$ consists of entries, which are either rational numbers with a common denominator $Q\in\mathbb{Z}^+$ (referred to as $Q$-rationality); or irrational numbers supported on a rationally independent set of bounded cardinality, known to learner; collectively called as the mixed-support assumption. Using a novel combination of the PSLQ integer relation detection, and LLL lattice basis reduction algorithms, we propose a polynomial-time algorithm which provably recovers a $β^*\in\mathbb{R}^p$ enjoying the mixed-support assumption, from its linear measurements $Y=Xβ^*\in\mathbb{R}^n$ for a large class of distributions for the random entries of $X$, even with one measurement $(n=1)$. In the noisy setting, we propose a polynomial-time, lattice-based algorithm, which recovers a $β^*\in\mathbb{R}^p$ enjoying $Q$-rationality, from its noisy measurements $Y=Xβ^*+W\in\mathbb{R}^n$, even with a single sample $(n=1)$. We further establish for large $Q$, and normal noise, this algorithm tolerates information-theoretically optimal level of noise. We then apply these ideas to develop a polynomial-time, single-sample algorithm for the phase retrieval problem. Our methods address the single-sample $(n=1)$ regime, where the sparsity-based methods such as LASSO and Basis Pursuit are known to fail. Furthermore, our results also reveal an algorithmic connection between the high-dimensional linear regression problem, and the integer relation detection, randomized subset-sum, and shortest vector problems.
description: 56 pages. Parts of the material of this manuscript were presented at NeurIPS 2018, and ISIT 2019. This submission subsumes the content of arXiv:1803.06716
Where have all the metaphors gone? : some explorations into the incidence of metaphoric language in poetry for young children
Creators: name: McKay, Gwendda M.
Publisher: name: Monash University
Year: 2021

description: This thesis was scanned from the print manuscript for digital preservation and is copyright the author.
 Researchers can access this thesis by asking their local university, institution or public library to
 make a request on their behalf. Monash staff and postgraduate students can use the link in the Reference field.
The joint bidiagonalization method for large GSVD computations in finite precision
Creators: name: Jia, Zhongxiao
name: Li, Haibo
Publisher: name: arXiv
Year: 2019
Subjects: subject: Numerical Analysis (math.NA)
subject: FOS: Mathematics
subject: 65F15, 65F20, 65F25, 15A18, 65F50, 65G50

description: The joint bidiagonalization (JBD) method has been used to compute some extreme generalized singular values and vectors of a large regular matrix pair $\{A,L\}$, where we propose three approaches to compute approximate generalized singular values and vectors. We make a numerical analysis of the underlying JBD process and establish relationships between it and two mathematically equivalent Lanczos bidiagonalizations in finite precision. Based on the results of numerical analysis, we investigate the convergence of the approximate generalized singular values and vectors of $\{A,L\}$. The results show that, under some mild conditions, the semiorthogonality of Lanczos type vectors suffices to deliver approximate generalized singular values with the same accuracy as the full orthogonality does, meaning that it is only necessary to seek for efficient semiorthogonalization strategies for the JBD process. We also establish a sharp bound for the residual norm of an approximate generalized singular value and corresponding approximate right generalized singular vectors, which can reliably estimate the residual norm without explicitly computing the approximate right generalized singular vectors before the convergence occurs.
description: 31 pages, 10 figures
Universal Functionals in Density Functional Theory
Creators: name: Lewin, Mathieu
name: Lieb, Elliott H.
name: Seiringer, Robert
Publisher: name: arXiv
Year: 2019
Subjects: subject: Mathematical Physics (math-ph)
subject: Strongly Correlated Electrons (cond-mat.str-el)
subject: Chemical Physics (physics.chem-ph)
subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences

description: In this chapter we first review the Levy-Lieb functional, which gives the lowest kinetic and interaction energy that can be reached with all possible quantum states having a given density. We discuss two possible convex generalizations of this functional, corresponding to using mixed canonical and grand-canonical states, respectively. We present some recent works about the local density approximation, in which the functionals get replaced by purely local functionals constructed using the uniform electron gas energy per unit volume. We then review the known upper and lower bounds on the Levy-Lieb functionals. We start with the kinetic energy alone, then turn to the classical interaction alone, before we are able to put everything together. An appendix is devoted to the Hohenberg-Kohn theorem and the role of many-body unique continuation in its proof.
description: Final version of a chapter to appear in the book "Density Functional Theory - Modeling, Mathematical Analysis, Computational Methods, and Applications", edited by Eric Canc\`es and Gero Friesecke, Springer
Spin and spatial dynamics in electron-impact scattering off S-wave He using R-matrix with Time-Dependence theory
Creators: name: Wragg, Jack
name: van der Hart, Hugo W.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Atomic Physics (physics.atom-ph)
subject: FOS: Physical sciences

description: R-matrix with time-dependence theory is applied to electron-impact ionisation processes for He in the S-wave model. Cross sections for electron-impact excitation, ionisation and ionisation with excitation for impact energies between 25 and 225 eV are in excellent agreement with benchmark cross sections. Ultra-fast dynamics induced by a scattering event is observed through time-dependent signatures associated with autoionisation from doubly excited states. Further insight into dynamics can be obtained through examination of the spin components of the time-dependent wavefunction.
description: 6 pages, 5 figures
title: Особенности воздействия природно-климатических факторов на региональную преступность
Creators: name: Толстых, Игорь
Publisher: name: Новгородский государственный университет имени Ярослава Мудрого (НовГУ)
Year: 2022

description: В статье рассматриваются вопросы изучения территориальных различий преступности. На примере работы итальянского ученого Чазере Ломброзо «Преступный человек» рассматриваются факторы, влияющие на рост и снижение преступности в зависимости от географических, климатических, культурных, экономических особенностей региона. В рамках отечественной криминологии исследование детерминант преступности осуществляется по территориальному принципу с учетом географического положения, развития экономики региона и социальных условий и культурных особенностей. На основе статистических данных Новгородской области и Ставропольского края проанализированы совершенные преступления жителями двух регионов. Проводится анализ статистических показателей преступности в период времени с 2015 года по 2020 год, на основании которого делается вывод о территориях с благоприятной и неблагоприятной криминогенной обстановкой.
An evaluation of three school-based whole-class social skills intervention programs
Creators: name: McGrath, Helen
Publisher: name: Monash University
Year: 2021

description: This thesis was scanned from the print manuscript for digital preservation and is copyright the author.
 Researchers can access this thesis by asking their local university, institution or public library to
 make a request on their behalf. Monash staff and postgraduate students can use the link in the Reference field.
Tuning the electronic hybridization in the heavy fermion cage compound YbFe$_{2}$Zn$_{20}$ with Cd-doping
Creators: name: Cabrera-Baez, Michael
name: Ribeiro, Raquel A.
name: Avila, Marcos A.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Strongly Correlated Electrons (cond-mat.str-el)
subject: FOS: Physical sciences

description: Tuning of the electronic properties of heavy fermion compounds by chemical substitutions provides excellent opportunities to further understand the physics of hybridized ions in crystal lattices. Here we present an investigation on the effects of Cd doping in flux-grown single crystals of the complex intermetallic cage compound YbFe$_{2}$Zn$_{20}$, that has been described as a heavy fermion with Sommerfeld coefficient of 535 mJ/mol.K$^{2}$. Substitution of Cd for Zn disturbs the system by expanding the unit cell and, in this case, the size of the Zn cages that surround Yb and Fe. With increasing amount of Cd, the hybridization between Yb $4f$ electrons and the conduction electrons is weakened, as evidenced by a decrease in the Sommerfeld coefficient, which should be accompanied by a valence shift of the Yb$^{3+}$ due to the negative chemical pressure effect. This scenario is also supported by the low temperature dc-magnetic susceptibility, that is gradually suppressed and evidences an increment of the Kondo temperature, based on a shift to higher temperatures of the characteristic broad susceptibility peak. Furthermore, the DC resistivity decreases with the isoelectronic Cd substitution for Zn, contrary to the expectation for an increasingly disordered system, and implying that the valence shift is not related to charge carrier doping. The combined results demonstrate excellent complementarity between positive physical pressure and negative chemical pressure, and point to a rich playground for exploring the physics and chemistry of strongly correlated electron systems in the general family of Zn$_{20}$ compounds, despite their structural complexity.
description: J. Phys.: Cond. Mat. (accepted)
A Unified Perspective of Complex Band Structure: Interpretations, Formulations, and Applications
Creators: name: Reuter, Matthew G.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Materials Science (cond-mat.mtrl-sci)
subject: FOS: Physical sciences

description: Complex band structure generalizes conventional band structure by also considering wavevectors with complex components. In this way, complex band structure describes both the bulk-propagating states from conventional band structure and the evanescent states that grow or decay from one unit cell to the next. Even though these latter states are excluded by translational symmetry, they become important when translational symmetry is broken via, for example, a surface or impurity. Many studies over the last 80 years have directly or indirectly developed complex band structure for an impressive range of applications, but very few discuss its fundamentals or compare its various results. In this work we build upon these previous efforts to expose the physical foundation of complex band structure, which mathematically implies the existence of complex band structure. We find that a material's static and dynamic electronic structure are both completely described by complex band structure. Furthermore, we show that complex band structure reflects the minimal, intrinsic information contained in the material's Hamiltonian. These realizations then provide a context for discussing, comparing, and unifying the different formulations and applications of complex band structure that have been developed over the years. Ultimately, this discussion introduces the idea of examining the amount of information contained in a material's Hamiltonian so that we can find and exploit the minimal information necessary for understanding a material's properties.
description: 50 pages, 4 figures
Extensional proofs in a propositional logic modulo isomorphisms
Creators: name: Díaz-Caro, Alejandro
name: Dowek, Gilles
Publisher: name: arXiv
Year: 2020
Subjects: subject: Logic in Computer Science (cs.LO)
subject: FOS: Computer and information sciences
subject: 03F05, 03B40, 03B38

description: System I is a proof language for a fragment of propositional logic where isomorphic propositions, such as $A\wedge B$ and $B\wedge A$, or $A\Rightarrow(B\wedge C)$ and $(A\Rightarrow B)\wedge(A\Rightarrow C)$ are made equal. System I enjoys the strong normalization property. This is sufficient to prove the existence of empty types, but not to prove the introduction property (every closed term in normal form is an introduction). Moreover, a severe restriction had to be made on the types of the variables in order to obtain the existence of empty types. We show here that adding $η$-expansion rules to System I permits to drop this restriction, and yields a strongly normalizing calculus which enjoys the full introduction property.
description: 29 pages
The closures of test configurations and algebraic singularity types
Creators: name: Darvas, Tamás
name: Xia, Mingchen
Publisher: name: arXiv
Year: 2020
Subjects: subject: Differential Geometry (math.DG)
subject: Algebraic Geometry (math.AG)
subject: Complex Variables (math.CV)
subject: FOS: Mathematics

description: Given a Kähler manifold $X$ with an ample line bundle $L$, we consider the metric space of $L^1$ geodesic rays associated to the first Chern class $c_1(L)$. We characterize rays that can be approximated by ample test configurations. At the same time, we also characterize the closure of algebraic singularity types among all singularity types of quasi-plurisubharmonic functions, pointing out the very close relationship between these two seemingly unrelated problems. By Bonavero's holomorphic Morse inequalities, the arithmetic and non-pluripolar volumes of algebraic singularity types coincide. We show that in general the arithmetic volume dominates the non-pluripolar one, and equality holds exactly on the closure of algebraic singularity types. Analogously, we give an estimate for the Monge--Ampère energy of a general $L^1$ ray in terms of the arithmetic volumes along its Legendre transform. Equality holds exactly for rays approximable by test configurations. Various other cohomological and potential theoretic characterizations are given in both settings. As applications, we give a concrete formula for the non-Archimedean Monge--Ampère energy in terms of asymptotic expansion, and show the continuity of the projection map from $L^1$ rays to non-Archimedean rays. We also show that the closure of ample test configurations and filtrations gives the same set of rays.
description: v.2
Spectrally resolved far-fields of terahertz quantum cascade lasers
Creators: name: Brandstetter, Martin
name: Schönhuber, Sebastian
name: Krall, Michael
name: Kainz, Martin A.
name: Detz, Hermann
name: Zederbauer, Tobias
name: Andrews, Aaron M.
name: Strasser, Gottfried
name: Unterrainer, Karl
Publisher: name: arXiv
Year: 2016
Subjects: subject: Optics (physics.optics)
subject: FOS: Physical sciences

description: We demonstrate a convenient and fast method to measure the spectrally resolved far-fields of multimode terahertz quantum cascade lasers by combining a microbolometer focal plane array with an FTIR spectrometer. Far-fields of fundamental TM0 and higher lateral order TM1 modes of multimode Fabry-Pérot type lasers have been distinguished, which very well fit to the results obtained by a 3D finite-element simulation. Furthermore, multimode random laser cavities have been investigated, analyzing the contribution of each single laser mode to the total far-field. The presented method is thus an important tool to gain in-depth knowledge of the emission properties of multimode laser cavities at terahertz frequencies, which become increasingly important for future sensing applications.
description: 8 pages, 4 figures
Twitter Opinion Topic Model: Extracting Product Opinions from Tweets by Leveraging Hashtags and Sentiment Lexicon
Creators: name: Lim, Kar Wai
name: Buntine, Wray
Publisher: name: arXiv
Year: 2016
Subjects: subject: Computation and Language (cs.CL)
subject: Information Retrieval (cs.IR)
subject: Machine Learning (cs.LG)
subject: FOS: Computer and information sciences

description: Aspect-based opinion mining is widely applied to review data to aggregate or summarize opinions of a product, and the current state-of-the-art is achieved with Latent Dirichlet Allocation (LDA)-based model. Although social media data like tweets are laden with opinions, their "dirty" nature (as natural language) has discouraged researchers from applying LDA-based opinion model for product review mining. Tweets are often informal, unstructured and lacking labeled data such as categories and ratings, making it challenging for product opinion mining. In this paper, we propose an LDA-based opinion model named Twitter Opinion Topic Model (TOTM) for opinion mining and sentiment analysis. TOTM leverages hashtags, mentions, emoticons and strong sentiment words that are present in tweets in its discovery process. It improves opinion prediction by modeling the target-opinion interaction directly, thus discovering target specific opinion words, neglected in existing approaches. Moreover, we propose a new formulation of incorporating sentiment prior information into a topic model, by utilizing an existing public sentiment lexicon. This is novel in that it learns and updates with the data. We conduct experiments on 9 million tweets on electronic products, and demonstrate the improved performance of TOTM in both quantitative evaluations and qualitative analysis. We show that aspect-based opinion analysis on massive volume of tweets provides useful opinions on products.
description: CIKM paper
A Generalized Correlation Index for Quantifying Signal Morphological Similarity
Creators: name: Olenko, A.
name: Wong, K. T.
name: Mir, H.
name: Al-Nashash, H.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Applications (stat.AP)
subject: Methodology (stat.ME)
subject: FOS: Computer and information sciences
subject: 92C55, 62P10, 62H20

description: In biomedical applications, the similarity between a signal measured from an injured subject and a reference signal measured from a normal subject can be used to quantify the injury severity. This paper proposes a generalization of the adaptive signed correlation index (ASCI) to account for specific signal features of interest and extend the trichotomization of conventional ASCI to an arbitrary number of levels. In the context of spinal cord injury assessment, a computational example is presented to illustrate the enhanced resolution of the proposed measure and its ability to offer a more refined measure of the level of injury.
description: 2 two-column pages, 3 figures
Letter from Alfred William Raffan to John Betjeman, August 26, 1970
Creators: name: Raffan, Alfred William
name: Betjeman, John, 1906-1984
Publisher: name: University of Victoria Libraries
Year: 2023
Subjects: subject: Authors, English
valueUri: http://id.worldcat.org/fast/821945
subject: Modernism (Literature)
valueUri: http://id.worldcat.org/fast/1024455
subject: Authors
valueUri: http://id.worldcat.org/fast/821688
subject: Poets, English
valueUri: http://id.worldcat.org/fast/1067870
subject: Poets
valueUri: http://id.worldcat.org/fast/1067778
subject: Authors, English--Correspondence
valueUri: http://id.worldcat.org/fast/821953
subject: Raffan, Alfred William
subject: Television journalists
valueUri: http://id.worldcat.org/fast/1146949
subject: Betjeman, John, 1906-1984
valueUri: http://id.worldcat.org/fast/1427507
subject: Literature, Modern
valueUri: http://id.worldcat.org/fast/1000172

description: Correspondence between John Betjeman and Alfred William Raffan. Raffan invites Betjeman to give a lecture for the Aberdeen University Medical Faculty Annual Lecture Series. He gives details about the lecture and tells Betjeman that he can talk about any subject he likes. Also enclosed is Betjeman's reply (August 28, 1970): Betjeman replies that he cannot accept the invitation due to committing to completing his new book on cathedrals by the end of that year.
The images of Japan in Victorian secondary school textbooks published between 1970 and 1992
Creators: name: Matsumoto, Akinori
Publisher: name: Monash University
Year: 2021

description: This thesis was scanned from the print manuscript for digital preservation and is copyright the author.
 Researchers can access this thesis by asking their local university, institution or public library to
 make a request on their behalf. Monash staff and postgraduate students can use the link in the Reference field.
Letter from Hughes to John Betjeman, May 07, 1970
Creators: name: Betjeman, John, 1906-1984
name: Hughes
Publisher: name: University of Victoria Libraries
Year: 2023
Subjects: subject: Betjeman, John, 1906-1984
valueUri: http://id.worldcat.org/fast/1427507
subject: Hughes
subject: Poets, English
valueUri: http://id.worldcat.org/fast/1067870
subject: Literature, Modern
valueUri: http://id.worldcat.org/fast/1000172
subject: Poets
valueUri: http://id.worldcat.org/fast/1067778
subject: Television journalists
valueUri: http://id.worldcat.org/fast/1146949
subject: Modernism (Literature)
valueUri: http://id.worldcat.org/fast/1024455
subject: Authors, English--Correspondence
valueUri: http://id.worldcat.org/fast/821953
subject: Authors
valueUri: http://id.worldcat.org/fast/821688
subject: Authors, English
valueUri: http://id.worldcat.org/fast/821945

description: Correspondence between John Betjeman and Hughes(?). Hughes informs Betjeman that the decision to demolish the Market Street facade will go ahead. In the end, the Royal Fine Art Commission for Scotland decided that the design of the replacement facade was acceptable. Also enclosed is Betjeman's reply (May 14, 1970): Betjeman replies that he is sad to hear about the decision, but thanks him for letting him know about it.
Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field
Creators: name: Halder, Aslam
name: Gangopadhyay, Sunandan
Publisher: name: arXiv
Year: 2016
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences

description: Landau system in noncommutative space has been considered. To take into account the issue of gauge invariance in noncommutative space, we incorporate the Seiberg-Witten map in our analysis. Generalised Bopp-shift transformation is then used to map the noncommutative system to its commutative equivalent system. In particular we have computed the partition function of the system and from this we obtained the susceptibility of the Landau system and found that the result gets modified by the spatial noncommutative parameter $θ$. We also investigate the de Hass--van Alphen effect in noncommutative space and observe that the oscillation of the magnetization and the susceptibility gets noncommutative corrections. Interestingly, the susceptibility in the noncommutative scenario is non-zero in the range of the magnetic field greater than the threshold value which is in contrast to its commutative counterpart. The results obtained are valid upto all orders in the noncommutative parameter $θ$.
description: 14 pages Latex. arXiv admin note: text overlap with arXiv:1602.06279
Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups
Creators: name: Lentner, Simon
name: Mierach, Svea Nora
name: Schweigert, Christoph
name: Sommerhaeuser, Yorck
Publisher: name: arXiv
Year: 2020
Subjects: subject: Quantum Algebra (math.QA)
subject: Mathematical Physics (math-ph)
subject: Geometric Topology (math.GT)
subject: Rings and Algebras (math.RA)
subject: Representation Theory (math.RT)
subject: FOS: Mathematics
subject: FOS: Physical sciences
subject: 57R56, 57K20, 18M20, 16T05

description: Given a finite modular tensor category, we associate with each compact surface with boundary a cochain complex in such a way that the mapping class group of the surface acts projectively on its cohomology groups. In degree zero, this action coincides with the known projective action of the mapping class group on the space of chiral conformal blocks. In the case that the surface is a torus and the category is the representation category of a factorizable ribbon Hopf algebra, we recover our previous result on the projective action of the modular group on the Hochschild cohomology groups of the Hopf algebra.
description: 79 pages, uses tikz-cd package
Non-uniform sampling schemes of the Brillouin zone for many-electron perturbation-theory calculations in reduced dimensionality
Creators: name: da Jornada, Felipe H.
name: Qiu, Diana Y.
name: Louie, Steven G.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Materials Science (cond-mat.mtrl-sci)
subject: FOS: Physical sciences

description: First principles calculations based on many-electron perturbation theory methods, such as the \textit{ab initio} GW and GW plus Bethe-Salpeter equation (GW-BSE) approach, are reliable ways to predict quasiparticle and optical properties of materials, respectively. However, these methods involve more care in treating the electron-electron interaction and are considerably more computationally demanding when applied to systems with reduced dimensionality, since the electronic confinement leads a slower convergence of sums over the Brillouin zone due to a much more complicated screening environment that manifests in the "head" and "neck" elements of the dielectric matrix. Here, we present two new schemes to sample the Brillouin zone for GW and GW-BSE calculations: the non-uniform neck subsampling method and the clustered sampling interpolation method, which can respectively be used for a family of single-particle problems, such as GW calculations, and for problems involving the scattering of two-particle states, such as when solving the BSE. We tested these methods on several few-layer semiconductors and graphene and show that they perform a much more efficient sampling of the Brillouin zone and yield two to three orders of magnitude reduction in the computer time. These two methods can be readily incorporated into several \textit{ab initio} packages that compute electronic and optical properties through the GW and GW-BSE approaches.
Letter from C. J. Jones to John Betjeman, April 24, 1958
Creators: name: Jones, C. J.
name: Betjeman, John, 1906-1984
Publisher: name: University of Victoria Libraries
Year: 2023
Subjects: subject: Literature, Modern
valueUri: http://id.worldcat.org/fast/1000172
subject: Authors
valueUri: http://id.worldcat.org/fast/821688
subject: Betjeman, John, 1906-1984
valueUri: http://id.worldcat.org/fast/1427507
subject: Television journalists
valueUri: http://id.worldcat.org/fast/1146949
subject: St. Helens Church (Abingdon, England)
valueUri: http://id.worldcat.org/fast/1793330
subject: Poets, English
valueUri: http://id.worldcat.org/fast/1067870
subject: Authors, English
valueUri: http://id.worldcat.org/fast/821945
subject: Modernism (Literature)
valueUri: http://id.worldcat.org/fast/1024455
subject: Jones, C. J.
subject: Poets
valueUri: http://id.worldcat.org/fast/1067778
subject: Authors, English--Correspondence
valueUri: http://id.worldcat.org/fast/821953

description: Correspondence between John Betjeman and C. J. Jones. Jones writes Betjeman to let him know that his letter about the proposed improvements to St. Helen's Churchyard will be considered. The Town Clerk, E. W. J. Nicholson, will be seconded for 1 year, but he Jones assures Betjeman that full consultation will happen with the Friends of Abingdon. Also enclosed is Betjeman's reply (April 21, 1958): Betjeman replies that he is concerned about what will happen with the tombstones. He worries that the look of the churchyard will be destroyed if they are re-located.
Adaptive Just-in-time Value Class Optimization for Lowering Memory Consumption and Improving Execution Time Performance
Creators: name: Pape, Tobias
name: Bolz, Carl Friedrich
name: Hirschfeld, Robert
Publisher: name: arXiv
Year: 2016
Subjects: subject: Programming Languages (cs.PL)
subject: FOS: Computer and information sciences

description: The performance of value classes is highly dependent on how they are represented in the virtual machine. Value class instances are immutable, have no identity, and can only refer to other value objects or primitive values and since they should be very lightweight and fast, it is important to optimize them carefully. In this paper we present a technique to detect and compress common patterns of value class usage to improve memory usage and performance. The technique identifies patterns of frequent value object references and introduces abbreviated forms for them. This allows to store multiple inter-referenced value objects in an inlined memory representation, reducing the overhead stemming from meta-data and object references. Applied to a small prototype and an implementation of the Racket language, we found improvements in memory usage and execution time for several micro-benchmarks.
Theoretical and Computable Optimal Subspace Expansions for Matrix Eigenvalue Problems
Creators: name: Jia, Zhongxiao
Publisher: name: arXiv
Year: 2020
Subjects: subject: Numerical Analysis (math.NA)
subject: FOS: Mathematics
subject: 65F15, 15A18, 65F10

description: Consider the optimal subspace expansion problem for the matrix eigenvalue problem $Ax=λx$: Which vector $w$ in the current subspace $\mathcal{V}$, after multiplied by $A$, provides an optimal subspace expansion for approximating a desired eigenvector $x$ in the sense that $x$ has the smallest angle with the expanded subspace $\mathcal{V}_w=\mathcal{V}+{\rm span}\{Aw\}$, i.e., $w_{opt}=\arg\max_{w\in\mathcal{V}}\cos\angle(\mathcal{V}_w,x)$? This problem is important as many iterative methods construct nested subspaces that successively expand $\mathcal{V}$ to $\mathcal{V}_w$. An expression of $w_{opt}$ by Ye (Linear Algebra Appl., 428 (2008), pp. 911--918) for $A$ general, but it could not be exploited to construct a computable (nearly) optimally expanded subspace. He turns to deriving a maximization characterization of $\cos\angle(\mathcal{V}_w,x)$ for a {\em given} $w\in \mathcal{V}$ when $A$ is Hermitian. We generalize Ye's maximization characterization to the general case and find its maximizer. Our main contributions consist of explicit expressions of $w_{opt}$, $(I-P_V)Aw_{opt}$ and the optimally expanded subspace $\mathcal{V}_{w_{opt}}$ for $A$ general, where $P_V$ is the orthogonal projector onto $\mathcal{V}$. These results are fully exploited to obtain computable optimally expanded subspaces within the framework of the standard, harmonic, refined, and refined harmonic Rayleigh--Ritz methods. We show how to efficiently implement the proposed subspace expansion approaches. Numerical experiments demonstrate the effectiveness of our computable optimal expansions.
description: 21 pages, 2 figures. SIAM Journal on Matrix Analysis and Applications, accepted, December 23, 2021
Mature age women returning to study : reproduction or transformation?
Creators: name: Martin, Joan E.
Publisher: name: Monash University
Year: 2021

description: This thesis was scanned from the print manuscript for digital preservation and is copyright the author.
 Researchers can access this thesis by asking their local university, institution or public library to
 make a request on their behalf. Monash staff and postgraduate students can use the link in the Reference field.
A ghostly damped Ly$α$ system revealed by metal absorption lines
Creators: name: Fathivavsari, Hassan
name: Petitjean, Patrick
name: Zou, Siwei
name: Noterdaeme, Pasquier
name: Ledoux, Cédric
name: Krühler, Thomas
name: Srianand, Raghunathan
Publisher: name: arXiv
Year: 2016
Subjects: subject: Astrophysics of Galaxies (astro-ph.GA)
subject: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
subject: FOS: Physical sciences

description: We report the discovery of the first 'ghostly' damped Ly$α$ absorption system (DLA), which is identified by the presence of absorption from strong low-ion species at $z_{\rm abs}=1.70465$ along the line of sight to the quasar SDSSJ113341.29$-$005740.0 with $z_{\rm em}=1.70441$. No Ly$α$ absorption trough is seen associated with these absorptions because the DLA trough is filled with the leaked emission from the broad emission line region of the quasar. By modeling the quasar spectrum and analyzing the metal lines, we derive log$N$(HI)(cm$^{-2}$)$\sim$21.0 $\pm$ 0.3. The DLA cloud is small ($\le$ 0.32 pc) thus not covering entirely the broad line region and is located at $\ge$ 39 pc from the central active galactic nucleus (AGN). Although the DLA is slightly redshifted relative to the quasar, its metallicity ([S/H]=$-$0.41$\pm$0.30) is intermediate between what is expected from infalling and outflowing gas. It could be possible that the DLA is part of some infalling material accreting onto the quasar host galaxy through filaments, and that its metallicity is raised by mixing with the enriched outflowing gas emanating from the central AGN. Current DLA surveys miss these 'ghostly' DLAs, and it would be important to quantify the statistics of this population by searching the SDSS database using metal absorption templates.
description: Accepted for publication in MNRAS Letter, 5 pages, 3 figures, 2 tables
Rigidity of rationally connected smooth projective varieties from dynamical viewpoints
Creators: name: Meng, Sheng
name: Zhong, Guolei
Publisher: name: arXiv
Year: 2020
Subjects: subject: Algebraic Geometry (math.AG)
subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics
subject: 14M25, 14E30, 32H50, 20K30, 08A35

description: Let $X$ be a rationally connected smooth projective variety of dimension $n$. We show that $X$ is a toric variety if and only if $X$ admits an int-amplified endomorphism with totally invariant ramification divisor. We also show that $X\cong (\mathbb{P}^1)^{\times n}$ if and only if $X$ admits a surjective endomorphism $f$ such that the eigenvalues of $f^*|_{\text{N}^1(X)}$ (without counting multiplicities) are $n$ distinct real numbers greater than $1$.
description: Minor revision. Final version