Information Theory

[1] Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture

Hao Huang Emory University

Combinatorics Information Theory mathscidoc:2005.06001

Annals of Mathematics, 190, 949-955, 2019.11
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[2] Hopf-Cole transformation via generalized Schrodinger bridge problem

Flavien Leger UCLA Wuchen Li UCLA

Differential Geometry Dynamical Systems Information Theory Probability mathscidoc:2004.10001

arXiv:1901.09051, 2019.1
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[3] Transport information geometry I: Riemannian calculus on probability simplex

Wuchen Li UCLA

Differential Geometry Information Theory Mathematical Physics Machine Learning mathscidoc:2004.19001

arXiv:1803.06360, 2018.3
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[4] Hessian metric via transport information geometry

Wuchen Li UCLA

Differential Geometry Information Theory Mathematical Physics mathscidoc:2004.22001

arXiv:2003.10526, 2020.3
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[5] Ricci curvature for parametric statistics via optimal transport

Wuchen Li UCLA Guido Montufar UCLA

Differential Geometry Information Theory Machine Learning mathscidoc:2004.41001

Information geometry, 2020.1
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[6] A splitting algorithm for image segmentation on manifolds represented by the grid based particle method

Jun Liu Shing-Yu Leung

Information Theory mathscidoc:1912.43187

Journal of Scientific Computing, 56, (2), 243-266, 2013.8
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[7] Part mutual information for quantifying direct associations in networks

Juan Zhao Chinese Academy of Sciences Yiwei Zhou Chinese Academy of Sciences Xiujun Zhang Chinese Academy of Sciences Luonan Chen Chinese Academy of Sciences

Information Theory mathscidoc:1912.19001

Proc Natl Acad Sci USA, 113, 5130-5135, 2016
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[8] Generalized phase retrieval : measurement number, matrix recovery and beyond

Yang Wang The Hong Kong University of Science and Technology Zhiqiang Xu Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Information Theory mathscidoc:1809.19001

Applied and Computational Harmonic Analysis, 2017
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[9] Necessary and sufficient conditions for consistent root reconstruction in Markov models on trees

Wai Tong Fan UW-Madison

Information Theory Probability Statistics Theory and Methods mathscidoc:1806.19001

Electronic Journal of Probability, 23, (47), 24, 2018
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[10] Entanglement Thresholds for Random Induced States

Guillaume Aubrun Université Claude Bernard Lyon 1 Stanislaw J. Szarek Case Western Reserve University Deping Ye Memorial University of Newfoundland

Functional Analysis Information Theory Convex and Discrete Geometry mathscidoc:1805.12001

Comm. Pure Appl. Math., 67, (1), 129-171, 2014.1
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[11] The complexity of problems in wireless communication

Lingsheng Shi Tsinghua Huandong Wang Tsinghua

Information Theory mathscidoc:1804.19001

2017
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[12] Compressive sensing of wireless sensors based on group sparse optimization for structural health monitoring

Yuequan Bao Harbin Institute of Technology Zuoqiang Shi Tsinghua University Xiaoyu Wang Harbin Institute of Technology Hui Li Harbin Institute of Technology

Information Theory mathscidoc:1803.19002

Structural Control and Health Monitoring, 2017
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[13] On classification of toric surface codes of dimension seven

NAVEED HUSSAIN, xue Luo stephen S.-T. YAU Tsinghua University MINGYI ZHANG Huaiqing Zuo Tsinghua university

Information Theory mathscidoc:1803.19001

to appear Comm. Anal. Geometry, 2018
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[14] BinaryRelax: A Relaxation Approach for Training Deep Neural Networks with Quantized Weights

Penghang Yin University of California at Los Angeles Shuai Zhang University of California at Irvine Jiancheng Lyu University of California at Los Angeles Stanley Osher University of California at Irvine Yingyong Qi University of California at Irvine Jack Xin University of California at Irvine

Information Theory mathscidoc:1802.19007

arXiv , 2018
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[15] Deep Learning for Real-Time Crime Forecasting and its Ternarization

Bao Wang Department of Mathematics, UCLA Penghang Yin Department of Mathematics, UCLA Andrea L. Bertozzi Department of Mathematics, UCLA P. Jeffrey Brantingham Department of Anthropology, UCLA Stanley J. Osher Department of Mathematics, UCLA Jack Xin Department of Mathematics, UCLA&UCI

Information Theory mathscidoc:1802.19006

arXiv, 2017
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[16] Quantization and Training of Low Bit-Width Convolutional Neural Networks for Object Detection

Penghang Yin University of California, Los Angeles Shuai Zhang University of California, Irvine Yingyong Qi University of California, Irvine Jack Xin University of California, Irvine

Information Theory mathscidoc:1802.19005

arXiv, 2017
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[17] Minimization of Transformed L1 Penalty: Theory, Difference of Convex Function Algorithm, and Robust Application in Compressed Sensing

Shuai Zhang University of California, Irvine Jack Xin University of California, Irvine

Information Theory mathscidoc:1802.19004

Mathematical Programming, Series B, 2018
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[18] Transformed Schatten-1 Iterative Thresholding Algorithms for Low Rank Matrix Completion

Shuai Zhang University of California, Irvine Penghang Yin University of California, Irvine Jack Xin University of California, Irvine

Information Theory mathscidoc:1802.19003

Comm. Math Sci, 15, (3), 839-862, 2017
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[19] Three L1 based nonconvex methods in constructing sparse mean reverting portfolios

Xiaolong Long Knut Solna University of California at Irvine Jack Xin University of California at Irvine

Information Theory mathscidoc:1802.19002

Journal of Scientific Computing, 2017.10
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[20] L1-minimization method for link flow correction

Penghang Yin University of California, Los Angeles Zhe Sun University of California, Irvine Wen-Long Jin University of California, Irvine Jack Xin University of California, Irvine

Information Theory mathscidoc:1802.19001

Transportation Research Part B: Methodological, (104), 398-408, 2017
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[21] A Harmonic Extension Approach for Collaborative Ranking

Da Kuang UCLA Zuoqiang Shi Tsinghua University Stanley Osher UCLA A. Bertozzi UCLA

Information Theory Numerical Analysis and Scientific Computing mathscidoc:1711.19001

International Symposium on Nonlinear Theory & Its Applications (NOLTA), 2017
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[22] Enforce the Dirichlet boundary condition by volume constraint in Point Integral method

Zuoqiang Shi Tsinghua University

Information Theory Numerical Analysis and Scientific Computing mathscidoc:1709.19003

Commun. Math. Sci., 15, (6), 1743-1769, 2017
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[23] Convergence of the Point Integral method for Poisson Equation on Point Cloud

Zuoqiang Shi Tsinghua University Jian Sun Tsinghua University

Information Theory Numerical Analysis and Scientific Computing mathscidoc:1709.19002

Research in the Mathematical Sciences, 4, (1), 2017
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[24] Low Dimensional Manifold Model for Image Processing

Stanley Osher University of California, Los Angeles Zuoqiang Shi Tsinghua University Wei Zhu University of California, Los Angeles

Information Theory Numerical Analysis and Scientific Computing mathscidoc:1709.19001

SIAM Journal on Imaging Sciences
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[25] Low Dimensional Manifold Model in Hyperspectral Image Reconstruction

Zuoqiang Shi Tsinghua University Wei Zhu University of California,Los Angeles Stanley Osher University of California,Los Angeles

Information Theory Numerical Analysis and Scientific Computing mathscidoc:1709.25001

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[26] Deep Residual Learning and PDEs on Manifold

Zhen Li HKUST Zuoqiang Shi Tsinghua University

Information Theory mathscidoc:1708.19001

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[27] Moment-entropy inequalities for a random vector

Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Information Theory mathscidoc:1703.19003

IEEE Transactions on Information Theory, 53, (4), 1603–1607, 2007
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[28] Cramér-Rao and moment-entropy inequalities for Renyi entropy and generalized Fisher information

Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Information Theory mathscidoc:1703.19002

IEEE Transactions on Information Theory, 51, (2), 473–478, 2005
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[29] Extensions of Fisher information and Stam's inequality

Erwin Lutwak New York University Songjun Lv College of Mathematics and Computer Science, Chongqing Normal University Deane Yang New York University Gaoyong Zhang New York University

Information Theory mathscidoc:1703.19001

IEEE Transactions on Information Theory, 58, (3), 1319–1327, 2012
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[30] Affine moments of a random vector

Erwin Lutwak New York University Songjun Lv Chongqing Normal University Deane Yang New York University Gaoyong Zhang New York University

Information Theory mathscidoc:1702.19003

IEEE Transactions on Information Theory, 59, (9), 5592–5599, 2013
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[31] A Unified Approach to Cramer-Rao Inequalities

Andrea Cianchi Universita degli Studi di Firenze Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Information Theory mathscidoc:1702.19002

IEEE Transactions on Information Theory, 60, (1), 643–650, 2014
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[32] A Path-Integral Approach to Bayesian Inference for Inverse Problems Using the Semiclassical Approximation

Josh C. Chang NIH Van M. Savage UCLA Tom Chou UCLA

Information Theory Mathematical Physics Statistics Theory and Methods Theoretical Physics mathscidoc:1702.19001

Journal of Statistical Physics, 157, 582-602, 2014.11
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[33] Asymptotics for the size of the largest component scaled to “log$n$” in inhomogeneous random graphs

Tatyana S. Turova Centre for Mathematical Sciences, Lund University

Information Theory Optimization and Control Probability mathscidoc:1701.19001

Arkiv for Matematik, 51, (2), 371-403, 2012.1
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[34] Distinguishing maximally entangled states by one-way local operations and classical communication

Zhi-Chao Zhang State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications Keqin Feng Department of Mathematical Sciences, Tsinghua University Fei Gao State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications Qiao-Yan Wen State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications

Information Theory mathscidoc:1612.19001

PHYSICAL REVIEW A, 91, (012329), 2015
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[35] On Monotone Embedding in Information Geometry

Jun Zhang Department of Psychology and Department of Mathematics, University of Michigan

Information Theory mathscidoc:1609.19005

Entropy, 17, (7), 4485-4499, 2015.6
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[36] Nonparametric information geometry: From divergence function to referential-representational biduality on statistical manifolds

Jun Zhang Department of Psychology and Department of Mathematics, University of Michigan

Information Theory mathscidoc:1609.19004

15, (12), 5384-5418, 2013.7
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[37] Harmonic Extension on Point Cloud

Zuoqiang Shi Tsinghua University Jian Sun Tsinghua University Minghao Tian Tsinghua University

Information Theory Numerical Analysis and Scientific Computing mathscidoc:1609.19003

SIAM: Multiscale Modeling & Simulation, 16, (1), 215-247, 2018
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[38] Weighted Nonlocal Laplacian on Interpolation from Sparse Data

Zuoqiang Shi Tsinghua University Stanley Osher University of California, Los Angeles Wei Zhu University of California, Los Angeles

Information Theory Numerical Analysis and Scientific Computing mathscidoc:1609.19002

Journal of Scientific Computing, 73, (2), 1164-1177, 2017
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[39] Low dimensional manifold model with semi-local patches

Zuoqiang Shi Tsinghua University Stanley Osher University of California, Los Angeles Wei Zhu University of California, Los Angeles

Information Theory Numerical Analysis and Scientific Computing mathscidoc:1609.19001

Journal of Scientific Computing
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[40] Linear Feature Transform and Enhancement of Classification on Deep Neural Network

Penghang Yin University of California at Irvine Jack Xin University of California at Irvine Yingyong Qi University of California at Irvine

Information Theory mathscidoc:1608.19003

2016
[ Download ] [ 2016-08-18 15:33:12 uploaded by admin ] [ 578 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[41] Minimization of Transformed $L_1$ Penalty: Closed Form Representation and Iterative Thresholding Algorithms

Shuai Zhang University of California, Irvine Jack Xin University of California, Irvine

Information Theory mathscidoc:1608.19002

Mathematics, 2016.7
[ Download ] [ 2016-08-18 15:24:38 uploaded by admin ] [ 467 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[42] Point Source Super-resolution Via Non-convex $L_1$ based methods

Yifei Lou University of Texas at Dallas Penghang Yin University of California at Irvine Jack Xin University of California at Irvine

Information Theory mathscidoc:1608.19001

Journal of Scientific Computing, 68, (3), 2016.9
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