activity
20122024
most citedHarnack's inequality for fractional nonlocal equations

3 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

math.RT2024

On monomial algebras with representation-finite enveloping algebras

Jianguo Zhou, Yu-Zhe Liu, Chao Zhang

The present paper mainly considers the representation type of the enveloping algebra of monomial algebra. Let be a monomial algebra and $A^e= A\otimes_{\mathrm{l}\!\mathrm{k}}…

math.AP2023

Entropy solutions to the fully non-local diffusion equations

Ying Li, Chao Zhang

We consider the fully non-local diffusion equations with non-negative -data. Based on the approximation and energy methods, we prove the existence and uniqueness of non-negati…

math.AP2023

On the solutions of nonlocal 1-Laplacian equation with -data

Dingding Li, Chao Zhang

We study the solutions to a nonlocal 1-Laplacian equation given by $$ 2\text{P.V.}\int_{\mathbb{R}^N}\frac{u(x)-u(y)}{|u(x)-u(y)|} \frac{dy}{|x-y|^{N+s}}=f(x) \quad \textmd{for } x…

cs.LG2023

SMURF-THP: Score Matching-based UnceRtainty quantiFication for Transformer Hawkes Process

Zichong Li, Yanbo Xu, Simiao Zuo +4

Transformer Hawkes process models have shown to be successful in modeling event sequence data. However, most of the existing training methods rely on maximizing the likelihood of e…

cs.LG20231 cited

An Asynchronous Decentralized Algorithm for Wasserstein Barycenter Problem

Chao Zhang, Hui Qian, Jiahao Xie

Wasserstein Barycenter Problem (WBP) has recently received much attention in the field of artificial intelligence. In this paper, we focus on the decentralized setting for WBP and…

math.AP20123 cited

Harnack's inequality for fractional nonlocal equations

P. R. Stinga, Chao Zhang

We prove interior Harnack's inequalities for solutions of fractional nonlocal equations. Our examples include fractional powers of divergence form elliptic operators with potential…