Zobrazeno 1 - 10
of 16 518
pro vyhledávání: '"low-dimensional structures"'
Autor:
Li, Gen, Yan, Yuling
This paper investigates score-based diffusion models when the underlying target distribution is concentrated on or near low-dimensional manifolds within the higher-dimensional space in which they formally reside, a common characteristic of natural im
Externí odkaz:
http://arxiv.org/abs/2405.14861
Autor:
Chomienia, Łukasz
This thesis pertains to the study of elliptic and parabolic partial differential equations on "thin" structures. The first main objective is to establish the strong and weak low-dimensional counterparts of the parabolic Neumann problem. The main tech
Externí odkaz:
http://arxiv.org/abs/2404.10657
Autor:
Chomienia, Łukasz
The paper concerns the theory of parabolic equations on a broad class of closed subsets of Euclidean space possessing a kind of tangent structure. A necessary framework for considering evolutionary problems is developed, and fundamental results about
Externí odkaz:
http://arxiv.org/abs/2310.07459
Autor:
Tang, Rong, Yang, Yun
There has been a growing interest in statistical inference from data satisfying the so-called manifold hypothesis, assuming data points in the high-dimensional ambient space to lie in close vicinity of a submanifold of much lower dimension. In machin
Externí odkaz:
http://arxiv.org/abs/2301.00890