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of 35 002
pro vyhledávání: '"low dimension"'
Low-Dimension-to-High-Dimension (LDHD) generalization is a special case of Out-of-Distribution (OOD) generalization, where the training data are restricted to a low-dimensional subspace of the high-dimensional testing space. Assuming that each instan
Externí odkaz:
http://arxiv.org/abs/2410.08898
Autor:
Zhang, Haixiang, Wang, HaiYing
The technique of subsampling has been extensively employed to address the challenges posed by limited computing resources and meet the needs for expedite data analysis. Various subsampling methods have been developed to meet the challenges characteri
Externí odkaz:
http://arxiv.org/abs/2409.14032
Autor:
Ishii, Shihoko
We study a pair consisting of a smooth variety over a field of positive characteristic and a multi-ideal with a real exponent. We prove the finiteness of the set of minimal log discrepancies for a fixed exponent if the dimension is less than or equal
Externí odkaz:
http://arxiv.org/abs/2410.15291
Autor:
Marcus, Steffen, Phillips, Cameron
We study two dimensional and three dimensional tropical subrepresentations of the regular representation $\mathbb{B}[G]$ of a finite group over the tropical booleans, utilizing the theory of group representations over a fixed idempotent semifield as
Externí odkaz:
http://arxiv.org/abs/2410.08349
Autor:
Eilers, Søren, Zegers, Sophie Emma
The quantum lens spaces form a natural and well-studied class of noncommutative spaces which has been partially classified using algebraic invariants drawing on the developed classification theory of graph $C^*$-algebras. We introduce the problem of
Externí odkaz:
http://arxiv.org/abs/2408.17386
Autor:
Fiedler, Jacob B., Stull, D. M.
In this paper, we give improved bounds on the Hausdorff dimension of pinned distance sets of planar sets with dimension strictly less than one. As the planar set becomes more regular (i.e., the Hausdorff and packing dimension become closer), our lowe
Externí odkaz:
http://arxiv.org/abs/2408.00889
We prove existence and uniqueness of solutions of a semilinear PDE driven by a Bessel type generator$L^\delta$ with low dimension $0 < \delta < 1$. $L^\delta$ is a local operator, whose drift is thederivative of $x \mapsto \log (\vert x\vert)$:in par
Externí odkaz:
http://arxiv.org/abs/2404.03243
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