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09/17/2023
L^1 Estimation: On the Optimality of Linear Estimators
Consider the problem of estimating a random variable X from noisy observ...
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06/15/2023
Improving the Lower Bound for the Union-closed Sets Conjecture via Conditionally IID Coupling
Recently, Gilmer proved the first constant lower bound for the union-clo...
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05/14/2023
From Soft-Minoration to Information-Constrained Optimal Transport and Spiked Tensor Models
Let P_Z be a given distribution on ℝ^n. For any y∈ℝ^n, we may interpret ...
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03/30/2023
NeILF++: Inter-Reflectable Light Fields for Geometry and Material Estimation
We present a novel differentiable rendering framework for joint geometry...
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09/01/2022
Stability of the Gaussian Stationary Point in the Han-Kobayashi Region for Z-Interference Channels
The Gaussian stationary point in an inequality motivated by the Z-interf...
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03/14/2022
NeILF: Neural Incident Light Field for Physically-based Material Estimation
We present a differentiable rendering framework for material and lightin...
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07/01/2021
A Few Interactions Improve Distributed Nonparametric Estimation, Optimally
Consider the problem of nonparametric estimation of an unknown β-Hölder ...
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12/28/2020
Minoration via Mixed Volumes and Cover's Problem for General Channels
We propose a method for establishing lower bounds on the supremum of pro...
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11/10/2020
Efficient Interpolation of Density Estimators
We study the problem of space and time efficient evaluation of a nonpara...
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11/10/2020
A Statistical Perspective on Coreset Density Estimation
Coresets have emerged as a powerful tool to summarize data by selecting ...
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10/28/2019
Power analysis of knockoff filters for correlated designs
The knockoff filter introduced by Barber and Candès 2016 is an elegant f...
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07/30/2019
Euclidean Forward-Reverse Brascamp-Lieb Inequalities: Finiteness, Structure and Extremals
A new proof is given for the fact that centered gaussian functions satur...
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05/24/2019
Accuracy-Memory Tradeoffs and Phase Transitions in Belief Propagation
The analysis of Belief Propagation and other algorithms for the reconst...
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01/25/2019
Communication Complexity of Estimating Correlations
We characterize the communication complexity of the following distribute...
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01/01/2019
Sharp Bounds for Mutual Covering
Verdú reformulated the covering problem in the non-asymptotic informatio...
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12/25/2018
Second-Order Converses via Reverse Hypercontractivity
A strong converse shows that no procedure can beat the asymptotic (as bl...
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11/27/2018
Capacity Upper Bounds for the Relay Channel via Reverse Hypercontractivity
The primitive relay channel, introduced by Cover in 1987, is the simples...
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05/09/2018