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2Entropy and the Discrete Central Limit Theorem
L. Gavalakis, and I. Kontoyiannis. (2021)cite arxiv:2106.00514Comment: 15 pages.
4 years ago by @kirk86
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6Methods and Techniques of Complex Systems Science: An Overview
C. Shalizi. (2003)
4 years ago by @kirk86
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analysis
complexity
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2Topics in random matrix theory
T. Tao. (2011)
4 years ago by @kirk86
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2Probability in High Dimensions
R. Van Handel. (2016)
4 years ago by @kirk86
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1Statistical Learning Theory: Models, Concepts, and Results
U. von Luxburg, and B. Schoelkopf. (2008)cite arxiv:0810.4752.
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3Towards a theory of machine learning
V. Vanchurin. (2020)cite arxiv:2004.09280Comment: 30 pages, 6 figures, discussion of entropy destruction clarified.
4 years ago by @kirk86
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1Exploring the toolkit of Jean Bourgain
T. Tao. (2020)cite arxiv:2009.06736Comment: 17 pages. To appear, Bulletin of the American Mathematical Society.
4 years ago by @kirk86
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2Information-Theoretic Lower Bounds on Bayes Risk in Decentralized Estimation
A. Xu, and M. Raginsky. (2016)cite arxiv:1607.00550.
5 years ago by @kirk86
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1Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems
Tianping Chen, and Hong Chen. IEEE Transactions on Neural Networks, 6 (4): 911-917 (July 1995)
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1Information Geometry of Orthogonal Initializations and Training
P. Sokół, and I. Park. International Conference on Learning Representations, (2020)
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4The Discrete Gaussian for Differential Privacy
C. Canonne, G. Kamath, and T. Steinke. (2020)cite arxiv:2004.00010Comment: New version: better implementation, analysis, and discussion.
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2Information-Theoretic Generalization Bounds for SGLD via Data-Dependent Estimates
J. Negrea, M. Haghifam, G. Dziugaite, A. Khisti, and D. Roy. (2019)cite arxiv:1911.02151Comment: 23 pages, 1 figure. To appear in, Advances in Neural Information Processing Systems (33), 2019.
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2Generalization Bounds via Information Density and Conditional Information Density
F. Hellström, and G. Durisi. (2020)cite arxiv:2005.08044.
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1Asymptotic Estimates in Information Theory with Non-Vanishing Error Probabilities
V. Tan. (2015)cite arxiv:1504.02608Comment: Further comments welcome.
5 years ago by @kirk86
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1$f$-divergence Inequalities
I. Sason, and S. Verdú. (2015)cite arxiv:1508.00335Comment: IEEE Trans. on Information Theory, vol. 62, no. 11, pp. 5973--6006, November 2016. This manuscript is identical to the journal paper, apart of some additional material which includes Sections III-C and IV-F, and three technical proofs.
5 years ago by @kirk86
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3Logarithmic Regret Bound in Partially Observable Linear Dynamical Systems
S. Lale, K. Azizzadenesheli, B. Hassibi, and A. Anandkumar. (2020)cite arxiv:2003.11227.
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1Chance-Constrained Trajectory Optimization for Safe Exploration and Learning of Nonlinear Systems
Y. Nakka, A. Liu, G. Shi, A. Anandkumar, Y. Yue, and S. Chung. (2020)cite arxiv:2005.04374Comment: Submitted to RA-L 2020.
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1PAC-Bayesian Contrastive Unsupervised Representation Learning
K. Nozawa, P. Germain, and B. Guedj. (2019)cite arxiv:1910.04464Comment: 16 pages.
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3A Theory of Usable Information Under Computational Constraints
Y. Xu, S. Zhao, J. Song, R. Stewart, and S. Ermon. (2020)cite arxiv:2002.10689Comment: ICLR 2020 (Talk).
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3Sharpened Generalization Bounds based on Conditional Mutual Information and an Application to Noisy, Iterative Algorithms
M. Haghifam, J. Negrea, A. Khisti, D. Roy, and G. Dziugaite. (2020)cite arxiv:2004.12983Comment: 17 pages.
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publications (hide)108
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2Entropy and the Discrete Central Limit Theorem

6Methods and Techniques of Complex Systems Science: An Overview

2Topics in random matrix theory

2Probability in High Dimensions

1Statistical Learning Theory: Models, Concepts, and Results

3Towards a theory of machine learning

1Exploring the toolkit of Jean Bourgain

2Information-Theoretic Lower Bounds on Bayes Risk in Decentralized Estimation

1Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems

1Information Geometry of Orthogonal Initializations and Training

4The Discrete Gaussian for Differential Privacy

2Information-Theoretic Generalization Bounds for SGLD via Data-Dependent Estimates

2Generalization Bounds via Information Density and Conditional Information Density

1Asymptotic Estimates in Information Theory with Non-Vanishing Error Probabilities

1$f$-divergence Inequalities

3Logarithmic Regret Bound in Partially Observable Linear Dynamical Systems

1Chance-Constrained Trajectory Optimization for Safe Exploration and Learning of Nonlinear Systems

1PAC-Bayesian Contrastive Unsupervised Representation Learning

3A Theory of Usable Information Under Computational Constraints

3Sharpened Generalization Bounds based on Conditional Mutual Information and an Application to Noisy, Iterative Algorithms

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