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pro vyhledávání: '"Chayes, Victoria"'
Autor:
Chayes, Victoria M
We offer a new proof of uniform convexity inequalities for the Finsler manifold of nonpositive curvature taken on the space of positive-semidefinite matrices with the weighted matrix geometric mean defining the geodesic between two points. Using the
Externí odkaz:
http://arxiv.org/abs/2210.10269
Autor:
Chayes, Victoria M.
We prove an analogous Hanner's Inequality of $L^p$ spaces for positive semidefinite matrices. Let $||X||_p=\text{Tr}[(X^\ast X)^{p/2}]^{1/p}$ denote the $p$-Schatten norm of a matrix $X\in M_{n\times n}(\mathbb{C})$. We show that the inequality $||X+
Externí odkaz:
http://arxiv.org/abs/2110.08312
Autor:
Chayes, Victoria
We examine a number of known inequalities for $L^p$ functions with reverse representations for $s<1$ with complex matrices under the $p$-norms $||X||_p=\text{Tr}[(X^\ast X)^{p/2}]^{1/p}$, and similarly defined quasinorm or antinorm quantities $||X||_
Externí odkaz:
http://arxiv.org/abs/2103.09915
Autor:
Chayes, Victoria M
Let $||X||_p=\text{Tr}[(X^\ast X)^{p/2}]^{1/p}$ denote the $p$-Schatten norm of a matrix $X\in M_{n\times n}(\mathbb{C})$, and $\sigma(X)$ the singular values with $\uparrow$ $\downarrow$ indicating its increasing or decreasing rearrangements. We wis
Externí odkaz:
http://arxiv.org/abs/2009.04032
We use the data of tenured and tenure-track faculty at ten public and private math departments of various tiered rankings in the United States, as a case study to demonstrate the statistical and mathematical relationships among several variables, e.g
Externí odkaz:
http://arxiv.org/abs/2005.10936
Autor:
Chayes, Victoria
There are various generalizations of the geometric mean $(a,b)\mapsto a^{1/2}b^{1/2}$ for $a,b\in \mathbb{R}^+$ to positive matrices, and we consider the standard positive geometric mean $(X,Y)\mapsto X^{1/2}(X^{-1/2}YX^{-1/2})^{1/2}X^{1/2}$. Much re
Externí odkaz:
http://arxiv.org/abs/1906.07833
Photometry of short-period planetary systems allows astronomers to monitor exoplanets, their host stars, and their mutual interactions. In addition to the transits of a planet in front of its star and the eclipses of the planet by its star, researche
Externí odkaz:
http://arxiv.org/abs/1611.05925
Autor:
Zhu, Wei, Chayes, Victoria, Tiard, Alexandre, Sanchez, Stephanie, Dahlberg, Devin, Bertozzi, Andrea L., Osher, Stanley, Zosso, Dominique, Kuang, Da
In this paper, a graph-based nonlocal total variation method (NLTV) is proposed for unsupervised classification of hyperspectral images (HSI). The variational problem is solved by the primal-dual hybrid gradient (PDHG) algorithm. By squaring the labe
Externí odkaz:
http://arxiv.org/abs/1604.08182
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