Zobrazeno 1 - 10
of 10 102
pro vyhledávání: '"Wold, P.‐A."'
Autor:
Bobkov, Sergey G., Götze, Friedrich
An upper bound for the Kantorovich transport distance between probability measures on multidimensional Euclidean spaces is given in terms of transport distances between one dimensional projections. This quantifies the Cram\'er-Wold continuity theorem
Externí odkaz:
http://arxiv.org/abs/2412.10276
We show how a Cram\'er-Wold theorem for a family of multivariate probability distributions can be used to generate a similar theorem for mixtures (convex combinations) of distributions drawn from the same family. Using this abstract result, we establ
Externí odkaz:
http://arxiv.org/abs/2410.22038
In the process of training a generative model, it becomes essential to measure the discrepancy between two high-dimensional probability distributions: the generative distribution and the ground-truth distribution of the observed dataset. Recently, th
Externí odkaz:
http://arxiv.org/abs/2312.03307
Akademický článek
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Autor:
An, Seunghwan, Jeon, Jong-June
The assumption of conditional independence among observed variables, primarily used in the Variational Autoencoder (VAE) decoder modeling, has limitations when dealing with high-dimensional datasets or complex correlation structures among observed va
Externí odkaz:
http://arxiv.org/abs/2310.16374
Autor:
Majee, Satyabrata, Maji, Amit
Let $n \geq 2$, and let $V=(V_1,\dots, V_n)$ be an $n$-tuple of isometries acting on a Hilbert space $\mathcal{H}$. We say that $V$ is an $n$-tuple of isometries with equal range if $V_i^{m_i}V_j^{m_j}\mathcal{H} = V_j^{m_j} V_i^{m_i}\mathcal{H}$ and
Externí odkaz:
http://arxiv.org/abs/2309.04445
Autor:
Li, Boyu, Yang, Dilian
Publikováno v:
Journal of Mathematical Analysis and Applications, Volume 537, Issue 2, 15 September 2024, 128395
We study the Wold decomposition for representations of a self-similar semigroup $P$ action on a directed graph $E$. We then apply this decomposition to the case where $P=\mathbb{N}$ to study the C*-envelope of the associated universal non-selfadjoint
Externí odkaz:
http://arxiv.org/abs/2307.10108
Autor:
Saini, Dimple
Publikováno v:
Acta Scientiarum Mathematicarum (2024)
The notion of Cauchy dual for left-invertible covariant representations was studied by Trivedi and Veerabathiran. Using the Moore-Penrose inverse, we extend this notion for the covariant representations having closed range and explore several useful
Externí odkaz:
http://arxiv.org/abs/2305.09345
Akademický článek
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Publikováno v:
Journal of Mathematical Analysis and Applications, volume 522, Article no: 2 (2023)
Olofsson introduced a growth condition regarding elements of an orbit for an expansive operator and generalized Richter's wandering subspace theorem. Later on, using the Moore-Penrose inverse, Ezzahraoui, Mbekhta, and Zerouali extended the growth con
Externí odkaz:
http://arxiv.org/abs/2209.13198