Zobrazeno 1 - 10
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pro vyhledávání: '"Zhu, Jia"'
Autor:
Zhu, Jia-Jie
Otto's (2001) Wasserstein gradient flow of the exclusive KL divergence functional provides a powerful and mathematically principled perspective for analyzing learning and inference algorithms. In contrast, algorithms for the inclusive KL inference, i
Externí odkaz:
http://arxiv.org/abs/2411.00214
Autor:
Zhu, Jia-Jie, Mielke, Alexander
The purpose of this paper is to answer a few open questions in the interface of kernel methods and PDE gradient flows. Motivated by recent advances in machine learning, particularly in generative modeling and sampling, we present a rigorous investiga
Externí odkaz:
http://arxiv.org/abs/2410.20622
The success of Large Language Models (LLMs) relies heavily on the huge amount of pre-training data learned in the pre-training phase. The opacity of the pre-training process and the training data causes the results of many benchmark tests to become u
Externí odkaz:
http://arxiv.org/abs/2409.01790
Autor:
Zhu, Jia-Xin, Cheng, Jun
Understanding electrochemical interfaces at a microscopic level is essential for elucidating important electrochemical processes in electrocatalysis, batteries and corrosion. While \textit{ab initio} simulations have provided valuable insights into m
Externí odkaz:
http://arxiv.org/abs/2407.17740
We theoretically investigate the RKKY interaction in helical higher-order topological insulators (HOTIs), revealing distinct behaviors mediated by hinge and Dirac-type bulk carriers. Our findings show that hinge-mediated interactions consist of Heise
Externí odkaz:
http://arxiv.org/abs/2406.10243
This paper presents a new gradient flow dissipation geometry over non-negative and probability measures. This is motivated by a principled construction that combines the unbalanced optimal transport and interaction forces modeled by reproducing kerne
Externí odkaz:
http://arxiv.org/abs/2405.17075
Publikováno v:
Phys. Rev. B 109, 224514 (2024)
Superconducting-proximity topological insulators (STIs) have garnered significant research attention over the past two decades. In this Letter, we demonstrate that a low-dimensional STI in the topological-nontrivial phase (TP) exhibits an interferenc
Externí odkaz:
http://arxiv.org/abs/2403.06232
We investigate theoretically tunable non-Hermitian skin effect in systems with gain and loss, and find that bipolar (quadripolar) non-Hermitian skin effect characterized by topological invariants in one (two)-dimensional system. We also find the part
Externí odkaz:
http://arxiv.org/abs/2403.05039
Autor:
Dvurechensky, Pavel, Zhu, Jia-Jie
By choosing a suitable function space as the dual to the non-negative measure cone, we study in a unified framework a class of functional saddle-point optimization problems, which we term the Mixed Functional Nash Equilibrium (MFNE), that underlies s
Externí odkaz:
http://arxiv.org/abs/2403.00147
Autor:
Wang, Yuxi, Zhang, Xingxing, Yan, Wujuan, Liang, Nianjie, He, Haiyu, Tao, Xinwei, Li, Ang, Yang, Fuwei, Li, Buxuan, Liu, Te-Huan, Zhu, Jia, Zhou, Wu, Wang, Wei, Zhou, Lin, Song, Bai
Two-dimensional (2D) crystals proved revolutionary soon after graphene was discovered in 2004. However, 2D amorphous materials only became accessible in 2020 and remain largely unexplored. In particular, the thermophysical properties of amorphous mat
Externí odkaz:
http://arxiv.org/abs/2402.13471