Zobrazeno 1 - 10
of 2 320
pro vyhledávání: '"Wang, Qingsong"'
Autor:
Wang, Qingsong, Dorogovtsev, A. A.
In this paper we propose the method to find the hitting probabilities for Gaussian integrators. Using second quantization we obtain the sseries representation for such probabilities despite the fact that integrators can be non-Markov processes.
Externí odkaz:
http://arxiv.org/abs/2409.13797
Autor:
Wang, Qingsong
We consider the contractibility of Vietoris-Rips complexes of dense subsets of $(\mathbb{R}^n,\ell_1)$ with sufficiently large scales. This is motivated by a question by Matthew Zaremsky regarding whether for each $n$ natural there is a $r_n>0$ so th
Externí odkaz:
http://arxiv.org/abs/2406.08664
The majority of classic tensor CP decomposition models are designed for squared loss, employing Euclidean distance as a local proximal term. However, the Euclidean distance is unsuitable for the generalized loss function applicable to various types o
Externí odkaz:
http://arxiv.org/abs/2402.15771
Recently, there has been a growing interest in the exploration of Nonlinear Matrix Decomposition (NMD) due to its close ties with neural networks. NMD aims to find a low-rank matrix from a sparse nonnegative matrix with a per-element nonlinear functi
Externí odkaz:
http://arxiv.org/abs/2402.02442
A Reeb graph is a graphical representation of a scalar function on a topological space that encodes the topology of the level sets. A Reeb space is a generalization of the Reeb graph to a multiparameter function. In this paper, we propose novel const
Externí odkaz:
http://arxiv.org/abs/2401.06748
In this paper, we explore a specific optimization problem that involves the combination of a differentiable nonconvex function and a nondifferentiable function. The differentiable component lacks a global Lipschitz continuous gradient, posing challen
Externí odkaz:
http://arxiv.org/abs/2401.02040
The stripe noise existing in remote sensing images badly degrades the visual quality and restricts the precision of data analysis. Therefore, many destriping models have been proposed in recent years. In contrast to these existing models, in this pap
Externí odkaz:
http://arxiv.org/abs/2308.08866
Autor:
Bungert, Leon, Trillos, Nicolás García, Jacobs, Matt, McKenzie, Daniel, Nikolić, Đorđe, Wang, Qingsong
Although deep neural networks have achieved super-human performance on many classification tasks, they often exhibit a worrying lack of robustness towards adversarially generated examples. Thus, considerable effort has been invested into reformulatin
Externí odkaz:
http://arxiv.org/abs/2305.18779
Autor:
Wang, Qingsong
We study the theoretical foundation of the persistent topology of the geometric filtrations in Topological Data Analysis (TDA), such as Vietoris--Rips simplicial complexes, Vietoris--Rips metric thickenings.We introduce a $\ell_p$-relaxation to the V
We generate anti-self-polar polytopes via a numerical implementation of the gradient flow induced by the diameter functional on the space of all finite subsets of the sphere, and prove related results on the critical points of the diameter functional
Externí odkaz:
http://arxiv.org/abs/2301.13076