Results 21 to 30 of about 308,452 (217)
Matrix Inequalities by Means of Block Matrices [PDF]
, 2001 We first show a weak log-majorization inequality of singular values for partitioned positive semidefinite matrices which will imply some existing results of anumber ofauthors, then present some basic matrix inequalities and apply them to obtain a number ...
Zhang, Fuzhen
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A Pólya–Vinogradov inequality for short character sums [PDF]
Canadian mathematical bulletin, 2020 In this paper, we obtain a variation of the Pólya–Vinogradov inequality with the sum restricted to a certain height. Assume $\chi $ to be a primitive character modulo q, $ \epsilon>0$ and $N\le q^{1-\gamma }$ , with $0\le \gamma \le 1/3$ .
Matteo Bordignon
semanticscholar +1 more source
, 2011 We present a new definition of influences in product spaces of continuous distributions. Our definition is geometric, and for monotone sets it is identical with the measure of the boundary with respect to uniform enlargement. We prove analogs of the Kahn-
Keller, Nathan +2 more
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Reverse Brascamp–Lieb inequality and the dual Bollobás–Thomason inequality [PDF]
Archiv der Mathematik, 2018 We prove that if $$f:{\mathbb {R}}^n\rightarrow [0,\infty )$$f:Rn→[0,∞) is an integrable log-concave function with $$f(0)=1$$f(0)=1 and $$F_1,\ldots ,F_r$$F1,…,Fr are linear subspaces of $${\mathbb {R}}^n$$Rn such that $$sI_n=\sum _{i=1}^rc_iP_i$$sIn=∑i ...
Dimitris-Marios Liakopoulos
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A concentration inequality and a local law for the sum of two random matrices [PDF]
, 2010 Let $${H_{N}=A_{N}+U_{N}B_{N}U_{N}^{\ast}}$$ where AN and BN are two N-by-N Hermitian matrices and UN is a Haar-distributed random unitary matrix, and let $${\mu _{H_{N}},}$$$${\mu_{A_{N}}, \mu _{B_{N}}}$$ be empirical measures of eigenvalues of matrices
V. Kargin
semanticscholar +1 more source
When the Robin inequality does not hold
, 2021 In mathematics, the Riemann Hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part $\frac{1}{2}$. It is one of the seven Millennium Prize Problems selected by the Clay
F. Vega
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The Robin Inequality On Certain Numbers
, 2021 In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part $\frac{1}{2}$.
F. Vega
semanticscholar +1 more source
Biased halfspaces, noise sensitivity, and local Chernoff inequalities
Discrete Analysis, 2019 Biased halfspaces, noise sensitivity, and local Chernoff inequalities, Discrete Analysis 2019:13, 50 pp. A _Boolean function_ is a function from the discrete cube, which it is convenient to represent as $\{-1,1\}^n$, to $\{0,1\}$.
Nathan Keller, Ohad Klein
doaj +1 more source
, 2016 Information-theoretic measures such as the entropy, cross-entropy and the Kullback-Leibler divergence between two mixture models is a core primitive in many signal processing tasks. Since the Kullback-Leibler divergence of mixtures provably does not admit a closed-form formula, it is in practice either estimated using costly Monte-Carlo stochastic ...
Nielsen, Frank, Sun, Ke
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Improving Einstein-Podolsky-Rosen Steering Inequalities with State Information [PDF]
, 2013 We discuss the relationship between entropic Einstein-Podolsky-Rosen (EPR)-steering inequalities and their underlying uncertainty relations, along with the hypothesis that improved uncertainty relations lead to tighter EPR-steering inequalities.
Broadbent, Curtis J. +2 more
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