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Multiperiod Martingale TransportMar 30 2017May 18 2019Consider a multiperiod optimal transport problem where distributions $\mu_{0},\dots,\mu_{n}$ are prescribed and a transport corresponds to a scalar martingale $X$ with marginals $X_{t}\sim\mu_{t}$. We introduce particular couplings called left-monotone ... More

Multiperiod Martingale TransportMar 30 2017Consider a multiperiod optimal transport problem where distributions $\mu_{0},\dots,\mu_{n}$ are prescribed and a transport corresponds to a scalar martingale $X$ with marginals $X_{t}\sim\mu_{t}$. We introduce particular couplings called left-monotone ... More

Convergence to the Mean Field Game Limit: A Case StudyJun 03 2018We study the convergence of Nash equilibria in a game of optimal stopping. If the associated mean field game has a unique equilibrium, any sequence of $n$-player equilibria converges to it as $n\to\infty$. However, both the finite and infinite player ... More

Convergence to the Mean Field Game Limit: A Case StudyJun 03 2018May 28 2019We study the convergence of Nash equilibria in a game of optimal stopping. If the associated mean field game has a unique equilibrium, any sequence of $n$-player equilibria converges to it as $n\to\infty$. However, both the finite and infinite player ... More

Asset Pricing with Heterogeneous Beliefs and IlliquidityMay 14 2019This paper studies the equilibrium price of an asset that is traded in continuous time between N agents who have heterogeneous beliefs about the state process underlying the asset's payoff. We propose a tractable model where agents maximize expected returns ... More

Supercloseness of the SDFEM on Shishkin triangular meshes for problems with exponential layersJun 16 2016In this paper, we analyze the supercloseness property of the streamline diffusion finite element method (SDFEM) on Shishkin triangular meshes, which is different from one in the case of rectangular meshes. The analysis depends on integral inequalities ... More

Analysis of SDFEM on Shishkin triangular meshes and hybrid meshes for problems with characteristic layersJan 12 2016In this paper, we analyze the streamline diffusion finite element method (SDFEM) for a model singularly perturbed convection-diffusion equation on a Shishkin triangular mesh and hybrid meshes. Supercloseness property of $u^I-u^N$ is obtained, where $u^I$ ... More

A Multi-Resolution Word Embedding for Document Retrieval from Large Unstructured Knowledge BasesFeb 02 2019Feb 21 2019Deep language models learning a hierarchical representation proved to be a powerful tool for natural language processing, text mining and information retrieval. However, representations that perform well for retrieval must capture semantic meaning at ... More

Microwave Quasi-periodic Pulsation with Millisecond Bursts in A Solar Flare on 2011 August 9Feb 08 2012An peculiar microwave quasi-periodic pulsation (QPP) accompanying with a hard X-ray (HXR) QPP of about 20 s duration occurred just before the maximum of an X6.9 solar flare on 2011 August 9. The most interesting is that the microwave QPP is consisting ... More

Compact Routing on Internet-Like GraphsAug 14 2003The Thorup-Zwick (TZ) routing scheme is the first generic stretch-3 routing scheme delivering a nearly optimal local memory upper bound. Using both direct analysis and simulation, we calculate the stretch distribution of this routing scheme on random ... More

Automated Monitoring Cropland Using Remote Sensing Data: Challenges and Opportunities for Machine LearningApr 08 2019This paper provides an overview of how recent advances in machine learning and the availability of data from earth observing satellites can dramatically improve our ability to automatically map croplands over long period and over large regions. It discusses ... More

Perturbed Greedy on Oblivious Matching ProblemsJul 11 2019We study the maximum matching problem in the oblivious setting, i.e. the edge set of the graph is unknown to the algorithm. The existence of an edge is revealed upon the probe of this pair of vertices. Further, if an edge exists between two probed vertices, ... More

Strategyproof and Approximately Maxmin Fair Share Allocation of ChoresMay 22 2019We initiate the work on fair and strategyproof allocation of indivisible chores. The fairness concept we consider in this paper is maxmin share (MMS) fairness. We consider three previously studied models of information elicited from the agents: the ordinal ... More

General solutions for nonlinear differential equations: a rule-based self-learning approach using deep reinforcement learningMay 13 2018May 29 2019A universal rule-based self-learning approach using deep reinforcement learning (DRL) is proposed for the first time to solve nonlinear ordinary differential equations and partial differential equations. The solver consists of a deep neural network-structured ... More

An Epistemic Strategy LogicSep 08 2014The paper presents an extension of temporal epistemic logic with operators that quantify over agent strategies. Unlike previous work on alternating temporal epistemic logic, the semantics works with systems whose states explicitly encode the strategy ... More

The complexity of approximations for epistemic synthesis (extended abstract)Feb 03 2016Epistemic protocol specifications allow programs, for settings in which multiple agents act with incomplete information, to be described in terms of how actions are related to what the agents know. They are a variant of the knowledge-based programs of ... More

An Epistemic Strategy Logic (Extended Abstract)Apr 03 2014The paper presents an extension of temporal epistemic logic with operators that quantify over strategies. The language also provides a natural way to represent what agents would know were they to be aware of the strategies being used by other agents. ... More

Text Embeddings for Retrieval From a Large Knowledge BaseOct 24 2018May 02 2019Text embedding representing natural language documents in a semantic vector space can be used for document retrieval using nearest neighbor lookup. In order to study the feasibility of neural models specialized for retrieval in a semantically meaningful ... More

Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifoldsFeb 23 2015In this note, we prove that there is a canonical continuous Hermitian metric on the CM line bundle over the proper moduli space $\bar{\mathcal{M}}$ of smoothable Kahler-Einstein Fano varieties. The curvature of this metric is the Weil-Petersson current, ... More

Multi-Image Semantic Matching by Mining Consistent FeaturesNov 21 2017May 01 2018This work proposes a multi-image matching method to estimate semantic correspondences across multiple images. In contrast to the previous methods that optimize all pairwise correspondences, the proposed method identifies and matches only a sparse set ... More

Ordinal Depth Supervision for 3D Human Pose EstimationMay 10 2018Our ability to train end-to-end systems for 3D human pose estimation from single images is currently constrained by the limited availability of 3D annotations for natural images. Most datasets are captured using Motion Capture (MoCap) systems in a studio ... More

Distributed Consistent Data AssociationSep 22 2016Data association is one of the fundamental problems in multi-sensor systems. Most current techniques rely on pairwise data associations which can be spurious even after the employment of outlier rejection schemes. Considering multiple pairwise associations ... More

A new type of judgement theorems for attribute characters in information systemMar 14 2013The research of attribute characters in information system which contains core, necessary, unnecessary is a basic and important issue in attribute reduct. Many methods for the judgement of attribute characters are based on the relationship between the ... More

Inclusive W/Z Production at CMSOct 12 2009At the LHC, the production cross sections of W/Z bosons are tens to hundreds of nanobarns. The production mechanism of these processes is well established in the Standard Model and these processes can be used as "standard candles" to help commission the ... More

Kaon oscillations and baryon asymmetry of the universeApr 08 2019May 16 2019Baryon asymmetry of the universe (BAU) is naturally explained with $K^0-K^{0'}$ oscillations of a newly developed mirror-matter model and new understanding of quantum chromodynamics (QCD) phase transitions. A consistent picture for the origin of both ... More

Tracing Community Genealogy: How New Communities Emerge from the OldApr 05 2018The process by which new communities emerge is a central research issue in the social sciences. While a growing body of research analyzes the formation of a single community by examining social networks between individuals, we introduce a novel community-centered ... More

Model-assisted inference for treatment effects using regularized calibrated estimation with high-dimensional dataJan 30 2018Consider the problem of estimating average treatment effects when a large number of covariates are used to adjust for possible confounding through outcome regression and propensity score models. The conventional approach of model building and fitting ... More

Comment: Understanding OR, PS and DRApr 18 2008Comment on ``Understanding OR, PS and DR'' [arXiv:0804.2958]

Regularized calibrated estimation of propensity scores with model misspecification and high-dimensional dataOct 23 2017Propensity score methods are widely used for estimating treatment effects from observational studies. A popular approach is to estimate propensity scores by maximum likelihood based on logistic regression, and then apply inverse probability weighted estimators ... More

A discontinuous Galerkin method on kinetic flocking modelsSep 19 2014We study kinetic representations of flocking models. They arise from agent-based models for self-organized dynamics, such as Cucker-Smale and Motsch-Tadmor models. We prove flocking behavior for the kinetic descriptions of flocking systems, which indicates ... More

A new perturbation theory for the superfluid Fermi gas in the molecular Bose-Einstein condensed stateOct 03 2005We demonstrate how solutions to quantum few-fermion scattering problems can be the point-of-departure of a new treatment of a generalized many-body wave function. Our focus is on a particular ansatz for the ground state wave function of a superfluid Fermi ... More

Multilinear fractional type operators and their commutators on Hardy spaces with variable exponentsMar 06 2019In this article, we show that multilinear fractional type operators are bounded from product Hardy spaces with variable exponents into Lebesgue or Hardy spaces with variable exponents via the atomic decomposition theory. We also study continuity properties ... More

Multi-timescale Solar Cycles and the Possible ImplicationsNov 07 2010Based on analysis of the annual averaged relative sunspot number (ASN) during 1700 -- 2009, 3 kinds of solar cycles are confirmed: the well-known 11-yr cycle (Schwabe cycle), 103-yr secular cycle (numbered as G1, G2, G3, and G4, respectively since 1700); ... More

Coronal Heating Driven by A Magnetic-gradient Pumping Mechanism in Solar PlasmasSep 23 2014Oct 23 2014The solar coronal heating is a longstanding mystery in astrophysics. Considering that the solar magnetic field is spatially inhomogeneous with considerable magnetic gradient from solar surface to the corona, this work proposes a magnetic gradient pumping ... More

Towards a Solution of the Polycyclic Aromatic Hydrocarbon - Diffuse Interstellar Band HypothesisAug 31 2006A novel theoretical method is developed to study the polycyclic aromatic hydrocarbon - diffuse interstellar band (PAH-DIB) hypothesis. In this method, a computer program is used to enumerate all PAH molecules with up to a specific number of fused benzene ... More

Laboratory tests of the normal-mirror particle oscillations and the extended CKM matrixJun 24 2019Jul 07 2019The CKM matrix and its unitarity is analyzed by disentangling experimental information obtained from three different particle systems of neutrons, mesons, and nuclei. New physics beyond the Standard Model is supported under the new analysis. In particular, ... More

Generic and Efficient Solution Solves the Shortest Paths Problem in Square RuntimeNov 29 2016We study a group of new methods to solve an open problem that is the shortest paths problem on a given fix-weighted instance. It is the real significance at a considerable altitude to reach our aim to meet these qualities of generic, efficiency, precision ... More

Neutron-mirror neutron oscillations in starsFeb 10 2019Feb 12 2019Based on a newly proposed model of neutron-mirror neutron ($n-n'$) oscillations, evolution and nucleosynthesis in single stars under a new theory is presented. The new theory with the new $n-n'$ model can demonstrate the evolution in a much more convincing ... More

The Characteristics of Valley Phase as Predictor of the Forthcoming Solar CycleAug 04 2018Is Solar Cycle 24 anomalous? How do we predict the main features of a forthcoming cycle? In order to reply such questions, this work partitions quantitatively each cycle into valley, ascend, peak, and descend phases, statistically investigate the correlations ... More

Neutron-mirror neutron oscillations in starsFeb 10 2019Mar 19 2019Based on a newly proposed mirror-matter model of neutron-mirror neutron ($n-n'$) oscillations, evolution and nucleosynthesis in single stars under a new theory is presented. The new theory with the new $n-n'$ model can demonstrate the evolution in a much ... More

Neutron oscillations for solving neutron lifetime and dark matter puzzlesFeb 05 2019Mar 24 2019A model of $n-n'$ (neutron-mirror neutron) oscillations is proposed under the framework of the mirror matter theory with slightly broken mirror symmetry. It resolves the neutron lifetime discrepancy, i.e., the 1\% difference in neutron lifetime between ... More

Neutron-mirror neutron oscillations in starsFeb 10 2019May 30 2019Based on a newly proposed mirror-matter model of neutron-mirror neutron ($n-n'$) oscillations, evolution and nucleosynthesis in single stars under a new theory is presented. The new theory with the new $n-n'$ model can demonstrate the evolution in a much ... More

Study of Human Push RecoveryOct 22 2018Walking and push recovery controllers for humanoid robots have advanced throughout the years while unsolved gaps leading to undesirable behaviours still exist. Because previous studies are mainly pure engineering methods, while the use of data-driven ... More

Multilinear fractional type operators and their commutators on Hardy spaces with variable exponentsMar 06 2019Mar 11 2019In this article, we show that multilinear fractional type operators are bounded from product Hardy spaces with variable exponents into Lebesgue or Hardy spaces with variable exponents via the atomic decomposition theory. We also study continuity properties ... More

A New Shortest Path Algorithm Generalized on Dynamic Graph for Commercial Intelligent Navigation for Transportation ManagementMay 11 2019Dynamic graph research is an essential subject in Computer Science. The shortest path problem is still the central in this field; moreover there is a variety of applications in practical projects. In this paper, we select the transportation activity as ... More

Study Morphology of Minimum Spanning Tree Problem and Generalized AlgorithmsJun 23 2017In this paper, we study the form over the minimum spanning tree problem (MST) from which we will derive an intuitively generalized model and new methods with the upper bound of runtimes of logarithm. The new pattern we made has taken successful to better ... More

Neutron-mirror neutron oscillations for solving the puzzles of ultrahigh-energy cosmic raysMar 18 2019May 21 2019Based on a newly proposed mirror-matter model of neutron-mirror neutron ($n-n'$) oscillations, the puzzles related to ultrahigh-energy cosmic rays (UHECRs) are explained. In particular, the phenomena around the Greisen-Zatsepin-Kuzmin (GZK) cutoff for ... More

Construct Graph LogicDec 08 2013In this paper, author uses set theory to construct a logic model of abstract figure from binary relation. Based on the uniform quantified structure, author gives two logic system for graph traversal and graph coloring respectively, moreover shows a new ... More

Corrigendum to "The $q$-analogue of bosons and Hall algebras" and some remarksApr 13 2009Apr 14 2009A corrigendum of a former result on semisimplicity of the category of integrable modules of a q-boson algebra is given with a counter example.

Limit laws on extremes of non-homogeneous Gaussian random fieldsJan 19 2015Jun 10 2017In this paper, by using the exact tail asymptotics derived by Debicki, Hashorva and Ji (Ann. Probab. 2014), we proved the Gumbel limit theorem for the maximum of a class of non-homogeneous Gaussian random fields. By using the obtained results, we also ... More

Carleson measure spaces with variable exponents and their applicationsMar 06 2019In this paper, we introduce the Carleson measure spaces with variable exponents $CMO^{p(\cdot)}$. By using discrete Littlewood$-$Paley$-$Stein analysis as well as Frazier and Jawerth's $\varphi-$transform in the variable exponent settings, we show that ... More

Limit laws on extremes of non-homogeneous Gaussian random fieldsJan 19 2015In this paper, by using the exact tail asymptotics derived by Debicki, Hashorva and Ji (Ann. Probab. 2014), we proved the Gumbel limit theorem for the maximum of a class of non-homogeneous Gaussian random fields. By using the obtained results, we also ... More

Neutron-mirror neutron oscillations for solving the puzzles of ultrahigh-energy cosmic raysMar 18 2019Based on a newly proposed mirror-matter model of neutron-mirror neutron ($n-n'$) oscillations, the puzzles related to ultrahigh-energy cosmic rays (UHECRs) are explained. In particular, the phenomena around the Greisen-Zatsepin-Kuzmin (GZK) cutoff for ... More

Kaon oscillations and baryon asymmetry of the universeApr 08 2019Baryon asymmetry of the universe (BAU) is naturally explained with $K^0-K^{0'}$ oscillations of a newly developed mirror-matter model and new understanding of quantum chromodynamics (QCD) phase transitions. The global symmetry breaking transitions in ... More

Laboratory tests of the normal-mirror particle oscillations and the extended CKM matrixJun 24 2019The CKM matrix and its unitarity is analyzed by disentangling experimental information obtained from three different particle systems of neutrons, mesons, and nuclei. New physics beyond the Standard Model is supported under the new analysis. In particular, ... More

On the Euler-Alignment system with weakly singular communication weightsJan 09 2019We study the pressureless Euler equations with nonlocal alignment interactions, which arises as a macroscopic representation of complex biological systems modeling animal flocks. For such Euler-Alignment system with bounded interactions, a critical threshold ... More

How Many Passengers Can We Serve with Ride-sharing?Jan 22 2019Ride-sharing can reduce traffic congestion and thus reduce gas emissions and save travel time. However, transportation system with ride-sharing is currently inefficient due to low occupancy rate, high travel demand and some other factors. Existing literature ... More

Compound Binary Search Tree and AlgorithmsOct 04 2018The Binary Search Tree (BST) is average in computer science which supports a compact data structure in memory and oneself even conducts a row of quick algorithms, by which people often apply it in dynamical circumstance. Besides these edges, it is also ... More

Small 4-regular planar graphs that are not circle representableFeb 04 2019Aug 13 2019A 4-regular planar graph $G$ is said to be circle representable if there exists a collection of circles drawn on the plane such that the touching and crossing points correspond to the vertices of $G$, and the circular arcs between those points correspond ... More

A Physical Explanation on Solar Microwave Zebra Pattern with the Current-carrying Plasma Loop ModelNov 09 2009Microwave zebra pattern structure is an intriguing fine structure on the dynamic spectra of solar type IV radio burst. Up to now, there isn't a perfect physical model for the origin of the solar microwave zebra pattern. Recently, Ledenev, Yan and Fu (2006) ... More

The Steklov Problem on Rectangles and CuboidsNov 02 2017This paper is a brief account of the Steklov eigenvalue problem on a 2-dimensional rectangular domain, and then on a 3-dimensional rectangular box. It is divided into four sections. Section 1 relies heavily on real analytic methods to show the existence ... More

On doubly robust estimation for logistic partially linear modelsJan 26 2019Consider a logistic partially linear model, in which the logit of the mean of a binary response is related to a linear function of some covariates and a nonparametric function of other covariates. We derive simple, doubly robust estimators of coefficient ... More

Small quartic planar graphs that are not circle representableFeb 04 2019A quartic planar graph $G$ is said to be circle representable if there exists a collection of circles drawn on the plane such that the kissing and crossing points correspond to the vertices of $G$, and the circular arcs between those points give the edges ... More

Local Weyl modules and cyclicity of tensor products for Yangians of $G_2$Mar 23 2015Let $\mathfrak{g}$ be the exceptional complex simple Lie algebra of type $G_2$. We provide a concrete cyclicity condition for the tensor product of fundamental representations of the Yangian $Y(\mathfrak{g})$. Using this condition, we show that every ... More

Finite-dimensional Representations of YangiansOct 01 2014In this thesis, we study the cyclicity condition for an ordered tensor product of fundamental representations and the local Weyl modules of Yangians. We provide a sufficient condition for the cyclicity of an ordered tensor product $L=V_{a_1}(\omega_{b_1})\otimes ... More

Solve For Shortest Paths Problem Within Logarithm RuntimeJan 22 2019The Shortest Paths Problem (SPP) is no longer unresolved. Just for a large scalar of instance on this problem, even we cannot know if an algorithm achieves the computing. Those cutting-edge methods are still in the low performance. If we go to a strategy ... More

Find an Optimal Path in Static System and Dynamical System within Polynomial RuntimeFeb 07 2016We study an ancient problem that in a static or dynamical system, sought an optimal path, which the context always means within an extremal condition. In fact, through those discussions about this theme, we established a universal essential calculated ... More

A Well-typed Lightweight Situation CalculusJan 11 2012Jun 15 2012Situation calculus has been widely applied in Artificial Intelligence related fields. This formalism is considered as a dialect of logic programming language and mostly used in dynamic domain modeling. However, type systems are hardly deployed in situation ... More

A General Framework for Estimating Graphlet Statistics via Random WalkMar 24 2016Aug 18 2016Graphlets are induced subgraph patterns and have been frequently applied to characterize the local topology structures of graphs across various domains, e.g., online social networks (OSNs) and biological networks. Discovering and computing graphlet statistics ... More

Coarse-to-Fine Volumetric Prediction for Single-Image 3D Human PoseNov 23 2016This paper addresses the challenge of 3D human pose estimation from a single color image. Despite the general success of the end-to-end learning paradigm, top performing approaches employ a two-step solution consisting of a Convolutional Network (ConvNet) ... More

A General Framework for Estimating Graphlet Statistics via Random WalkMar 24 2016Oct 18 2016Graphlets are induced subgraph patterns and have been frequently applied to characterize the local topology structures of graphs across various domains, e.g., online social networks (OSNs) and biological networks. Discovering and computing graphlet statistics ... More

The China crisisNov 27 2018The so-called \textit{China crisis}, well documented in \textit{History of the IAU} by Adriaan Blaauw and in \textit{Under the Same Starry Sky: History of the IAU} by Chengqi Fu and Shuhua Ye, refers to the withdrawal in 1960 of the People's Republic ... More

Connecting toric manifolds by conical Kahler-Einstein metricsAug 30 2013We give criterions for the existence of toric conical Kahler-Einstein and Kahler-Ricci soliton metrics on any toric manifold in relation to the greatest Ricci and Bakry-Emery-Ricci lower bound. We also show that any two toric manifolds with the same dimension ... More

Online Vertex-Weighted Bipartite Matching: Beating 1-1/e with Random ArrivalsApr 20 2018We introduce a weighted version of the ranking algorithm by Karp et al. (STOC 1990), and prove a competitive ratio of 0.6534 for the vertex-weighted online bipartite matching problem when online vertices arrive in random order. Our result shows that random ... More

Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regimeNov 04 2015May 05 2016We present several numerical methods and establish their error estimates for the discretization of the nonlinear Dirac equation in the nonrelativistic limit regime, involving a small dimensionless parameter $0<\varepsilon\ll 1$ which is inversely proportional ... More

Safety Verification of Deep Neural NetworksOct 21 2016Deep neural networks have achieved impressive experimental results in image classification, but can surprisingly be unstable with respect to adversarial perturbations, that is, minimal changes to the input image that cause the network to misclassify it. ... More

Safety Verification of Deep Neural NetworksOct 21 2016Nov 05 2016Deep neural networks have achieved impressive experimental results in image classification, but can surprisingly be unstable with respect to adversarial perturbations, that is, minimal changes to the input image that cause the network to misclassify it. ... More

Electromagnetically induced transparency and slow light in two-mode optomechanicsJan 08 2013We theoretically demonstrate the mechanically mediated electromagnetically induced transparency in a two-mode cavity optomechanical system, where two cavity modes are coupled to a common mechanical resonator. When the two cavity modes are driven on their ... More

Local Distribution in Neighborhood for ClassificationDec 07 2018The k-nearest-neighbor method performs classification tasks for a query sample based on the information contained in its neighborhood. Previous studies into the k-nearest-neighbor algorithm usually achieved the decision value for a class by combining ... More

PCGAN: Partition-Controlled Human Image GenerationNov 25 2018Human image generation is a very challenging task since it is affected by many factors. Many human image generation methods focus on generating human images conditioned on a given pose, while the generated backgrounds are often blurred.In this paper,we ... More

A Game-Based Approximate Verification of Deep Neural Networks with Provable GuaranteesJul 10 2018Despite the improved accuracy of deep neural networks, the discovery of adversarial examples has raised serious safety concerns. In this paper, we study two variants of pointwise robustness, the maximum safe radius problem, which for a given input sample ... More

On the Quantization of Cellular Neural Networks for Cyber-Physical SystemsMar 05 2019Cyber-Physical Systems (CPSs) have been pervasive including smart grid, autonomous automobile systems, medical monitoring, process control systems, robotics systems, and automatic pilot avionics. As usually implemented on embedded devices, CPS is typically ... More

Microwave burst with fine spectral structures in a solar flare on 2011 August 9Jul 20 2012On August 9, 2011, there was an X6.9 flare event occurred near the west limb of solar disk. From the observation obtained by the spectrometer of the Chinese Solar Broadband Radio Spectrometer in Huairou (SBRS/Huairou) around the flare, we find that this ... More

Investigation of the Relationship Between the Air Pollution and Solar ActivityJun 20 2017How did the Sun affect the air pollution on the Earth? There are few papers about this question. This work investigates the relationship between the air pollution and solar activity by using the geophysical and environmental data during the period of ... More

On sectoriality of degenerate elliptic operatorsSep 09 2016Let $c_{kl} \in W^{1,\infty}(\Omega, \Ci)$ for all $k,l \in \{1, \ldots, d\}$ and $\Omega \subset \Ri^d$ be open with Lipschitz boundary. We consider the divergence form operator $ A_p = - \sum_{k,l=1}^d \D_l (c_{kl} \, \D_k) $ in $L_p(\Omega)$ when the ... More

On scalar propagators of three-dimensional higher-spin black holesJul 31 2016Aug 06 2016We explore some aspects of three-dimensional higher-spin holography by studying scalar fluctuations in the background of higher-spin black holes. We furnish an independent derivation of the bulk-boundary propagator by purely invoking a well-known infinite ... More

A Formula for the Capacity of the General Gel'fand-Pinsker ChannelOct 03 2012Apr 16 2014We consider the Gel'fand-Pinsker problem in which the channel and state are general, i.e., possibly non-stationary, non-memoryless and non-ergodic. Using the information spectrum method and a non-trivial modification of the piggyback coding lemma by Wyner, ... More

Loxodromic Mobius Transformations with Disjoint AxesFeb 19 2011This paper is concerned with Loxodromic Mobius Transformations with disjoint Axes in a Kleinian Group. We study mainly the distance between their axes, and give some estimates about their translation lengths.

Long memory stochastic volatility in option pricingMar 31 2004Sep 24 2004The aim of this paper is to present a simple stochastic model that accounts for the effects of a long-memory in volatility on option pricing. The starting point is the stochastic Black-Scholes equation involving volatility with long-range dependence. ... More

A Report on Subobject Classifiers and MonadsJan 23 2019A two-part report, containing (unrelated) essays on subobject classifiers and on monads.

On a spectral theorem of WeylNov 10 2016Apr 04 2017We give a geometric proof of a theorem of Weyl on the continuous part of the spectrum of Sturm-Liouville operators on the half-line with asymptotically constant coefficients. Earlier proofs due to Weyl and Kodaira depend on special features of Green's ... More

Neural Image CaptioningJul 02 2019In recent years, the biggest advances in major Computer Vision tasks, such as object recognition, handwritten-digit identification, facial recognition, and many others., have all come through the use of Convolutional Neural Networks (CNNs). Similarly, ... More

Improving Unsupervised Subword Modeling via Disentangled Speech Representation Learning and TransformationJun 17 2019This study tackles unsupervised subword modeling in the zero-resource scenario, learning frame-level speech representation that is phonetically discriminative and speaker-invariant, using only untranscribed speech for target languages. Frame label acquisition ... More

Turmoil in Orion: The Nearest Massive ProtostarJan 31 2008I discuss different theories of massive star formation: formation from massive cores, competitive Bondi-Hoyle accretion, and protostellar collisions. I summarize basic features of the Turbulent Core Model (TCM). I then introduce the Orion Kleinmann-Low ... More

Clustered Massive Star Formation in Molecular CloudsJul 05 2005I review some important questions in the field of massive star formation: What are the initial conditions for proto star clusters and how do they arise? What are the initial conditions for individual massive star formation within star clusters? How do ... More

The Timescale and Mode of Star Formation in ClustersJul 05 2004Oct 05 2004I discuss two questions about the origin of star clusters: How long does the process take? What is the mode of individual star formation? I argue that observations of Galactic star-forming regions, particularly the Orion Nebula Cluster (ONC), indicate ... More

The Becklin-Neugebauer Object as a Runaway B Star, Ejected 4000 years ago from the theta^1C systemJan 26 2004Apr 07 2004We attempt to explain the properties of the Becklin-Neugebauer (BN) object as a runaway B star, as originally proposed by Plambeck et al. (1995). This is one of the best-studied bright infrared sources, located in the Orion Nebula Cluster -- an important ... More

Testing Massive Star Formation Theory in OrionOct 27 2003I compare theoretical models of massive star formation with observations of the Orion Hot Core, which harbors one of the closest massive protostars. Although this region is complicated, many of its features (size, luminosity, accretion disk, HII region, ... More

Observation of Concerted and Stepwise Multiple Dechlorination Reactions of Perchlorethylene in Electron Ionization Mass Spectrometry According to Measured Chlorine Isotope EffectsSep 06 2017Dechlorinated fragmental ions of organochlorines can be commonly found on electron ionization-mass spectrometry (EI-MS). Yet it is still unclear whether multiple dechlorination reactions taking place in EI-MS are concerted or stepwise. This study investigated ... More

Symmetric and Asymmetric Tendencies in Stable Complex SystemsDec 23 2015Aug 23 2016A commonly used approach to study stability in a complex system is by analyzing the Jacobian matrix at an equilibrium point of a dynamical system. The equilibrium point is stable if all eigenvalues have negative real parts. Here, by obtaining eigenvalue ... More