Jingbo Liu

activity

20122026

most citedInformation-Theoretic Perspectives on Brascamp-Lieb Inequality and Its Reverse

15 citations · 108 across the 28 of their papers we have counts for

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cs.IT2023

Improving the Lower Bound for the Union-closed Sets Conjecture via Conditionally IID Coupling

Jingbo Liu

Recently, Gilmer proved the first constant lower bound for the union-closed sets conjecture via an information-theoretic argument. The heart of the argument is an entropic inequali…

cs.IT2023

From Soft-Minoration to Information-Constrained Optimal Transport and Spiked Tensor Models

Jingbo Liu

Let $P_{Z}$ be a given distribution on $R^{n}$ . For any $y \in R^{n}$ , we may interpret $ρ (y) := ln E [e^{⟨ y, Z ⟩}]$ as a soft-max of $⟨ y, Z ⟩$ . W…