Information Theory

[1] 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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[2] 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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[3] 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
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[4] 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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[5] 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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[6] Deep Residual Learning and PDEs on Manifold

Zhen Li HKUST Zuoqiang Shi Tsinghua University

Information Theory mathscidoc:1708.19001

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[7] 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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[8] 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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[9] 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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[10] 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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[11] 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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[12] 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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[13] 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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[14] 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
[ Download ] [ 2016-12-09 11:57:14 uploaded by Fengkeqin ] [ 73 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[15] 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
[ Download ] [ 2016-09-20 17:56:54 uploaded by zhang ] [ 220 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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[16] 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
[ Download ] [ 2016-09-20 17:50:21 uploaded by zhang ] [ 544 downloads ] [ 0 comments ] [ Cited by 14 ] [ Abstract ] [ Full ]
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[17] 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, 2017
[ Download ] [ 2016-09-02 11:32:47 uploaded by shizqi ] [ 124 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[18] 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
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[19] 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
[ Download ] [ 2016-09-02 10:19:36 uploaded by shizqi ] [ 187 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[20] 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 ] [ 81 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[21] 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 ] [ 203 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[22] 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
[ Download ] [ 2016-08-18 14:55:39 uploaded by admin ] [ 49 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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