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09/05/2023
Causal Structure Recovery of Linear Dynamical Systems: An FFT based Approach
Learning causal effects from data is a fundamental and well-studied prob...
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09/04/2023
Minimum entropy of a log-concave variable for fixed variance
We show that for log-concave real random variables with fixed variance t...
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05/17/2022
Moments, Concentration, and Entropy of Log-Concave Distributions
We utilize and extend a simple and classical mechanism, combining log-co...
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11/13/2021
A discrete complement of Lyapunov's inequality and its information theoretic consequences
We establish a reversal of Lyapunov's inequality for monotone log-concav...
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09/08/2021
Quantitative form of Ball's Cube slicing in ℝ^n and equality cases in the min-entropy power inequality
We prove a quantitative form of the celebrated Ball's theorem on cube sl...
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03/01/2021
Bernoulli sums and Rényi entropy inequalities
We investigate the Rényi entropy of independent sums of integer valued r...
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09/22/2020
Strongly Convex Divergences
We consider a sub-class of the f-divergences satisfying a stronger conve...
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07/26/2020
Convex Decreasing Algorithms: Distributed Synthesis and Finite-time Termination in Higher Dimension
We introduce a general mathematical framework for distributed algorithms...
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05/21/2020
Reversals of Rényi Entropy Inequalities under Log-Concavity
We establish a discrete analog of the Rényi entropy comparison due to Bo...
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08/23/2018
An Exact Upper Bound on the L^p Lebesgue Constant and The ∞-Rényi Entropy Power Inequality for Integer Valued Random Variables
In this paper, we proved an exact asymptotically sharp upper bound of th...
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06/22/2018
Rearrangement and Prekopa-Leindler type inequalities
We investigate the interactions of functional rearrangements with Prekop...
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05/29/2018
Error Bounds on a Mixed Entropy Inequality
Motivated by the entropy computations relevant to the evaluation of decr...
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05/29/2018