Zobrazeno 1 - 10
of 12 951
pro vyhledávání: '"gradient flows"'
We discuss $(K,N)$-convexity and gradient flows for $(K,N)$-convex functionals on metric spaces, in the case of real $K$ and negative $N$. In this generality, it is necessary to consider functionals unbounded from below and/or above, possibly attaini
Externí odkaz:
http://arxiv.org/abs/2412.04574
The construction of loss functions presents a major challenge in data-driven modeling involving weak-form operators in PDEs and gradient flows, particularly due to the need to select test functions appropriately. We address this challenge by introduc
Externí odkaz:
http://arxiv.org/abs/2412.03506
This paper studies reinforcement learning (RL) in infinite-horizon dynamic decision processes with almost-sure safety constraints. Such safety-constrained decision processes are central to applications in autonomous systems, finance, and resource man
Externí odkaz:
http://arxiv.org/abs/2411.19193
We consider Wasserstein gradient flows of maximum mean discrepancy (MMD) functionals $\text{MMD}_K^2(\cdot, \nu)$ for positive and negative distance kernels $K(x,y) := \pm |x-y|$ and given target measures $\nu$ on $\mathbb{R}$. Since in one dimension
Externí odkaz:
http://arxiv.org/abs/2411.09848
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
We study the second-order asymptotic expansion of the $s$-fractional Gagliardo seminorm as $s\to1^-$ in terms of a higher order nonlocal functional. We prove a Mosco-convergence result for the energy functionals and that the $L^2$-gradient flows of t
Externí odkaz:
http://arxiv.org/abs/2410.17829
We investigate the stability of topological charge under gradient flow taking the admissibility condition into account. For the $SU(2)$ Wilson gauge theory with $\beta=2.45$ and $L^4=12^4$, we numerically show that the gradient flows with the Iwasaki
Externí odkaz:
http://arxiv.org/abs/2411.14812