Results 11 to 20 of about 382,423 (270)
Small ball probability, Inverse theorems, and applications [PDF]
, 2012 Let $\xi$ be a real random variable with mean zero and variance one and $A={a_1,...,a_n}$ be a multi-set in $\R^d$. The random sum $$S_A := a_1 \xi_1 + ... + a_n \xi_n $$ where $\xi_i$ are iid copies of $\xi$ is of fundamental importance in probability
A. A. Sherstov +58 more
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Phase Retrieval Without Small-Ball Probability Assumptions [PDF]
IEEE Transactions on Information Theory, 2017 In the context of the phase retrieval problem, it is known that certain natural classes of measurements, such as Fourier measurements and random Bernoulli measurements, do not lead to the unique reconstruction of all possible signals, even in combination
Krahmer, Felix, Liu, Yi-Kai
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Small ball probabilities for linear images of high dimensional distributions [PDF]
International Mathematics Research Notices, 2014 We study concentration properties of random vectors of the form $AX$, where $X = (X_1, ..., X_n)$ has independent coordinates and $A$ is a given matrix. We show that the distribution of $AX$ is well spread in space whenever the distributions of $X_i$ are
Rudelson, Mark, Vershynin, Roman
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Small ball probability and Dvoretzky theorem
Israel Journal of Mathematics, 2004 Large deviation estimates are by now a standard tool inthe Asymptotic Convex Geometry, contrary to small deviationresults. In this note we present a novel application of a smalldeviations inequality to a problem related to the diameters of random ...
Klartag, Bo'az, Vershynin, Roman
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Small ball probability for the condition number of random matrices [PDF]
, 2019 Let $A$ be an $n\times n$ random matrix with i.i.d. entries of zero mean, unit variance and a bounded subgaussian moment. We show that the condition number $s_{\max}(A)/s_{\min}(A)$ satisfies the small ball probability estimate $${\mathbb P}\big\{s_{\max}
DA Spielman +3 more
core +2 more sources
Optimal quantization of probabilities concentrated on small balls [PDF]
Forum Mathematicum, 2008 We consider probability distributions which are uniformly distributed on a disjoint union of balls with equal radius. For small enough radius the optimal quantization error is calculated explicitly in terms of the ball centroids.
Kreitmeier, Wolfgang
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Small ball probabilities for stable convolutions [PDF]
ESAIM: Probability and Statistics, 2007 Summary: We investigate the small deviations under various norms for stable processes defined by the convolution of a smooth function \(f : \; ]0, +\infty[ \;\to \mathbb{R} \) with a real \(S\alpha S\) Lévy process. We show that the small ball exponent is uniquely determined by the norm and by the behaviour of \(f\) at zero, which extends the results ...
Aurzada, Frank, Simon, Thomas
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Small ball probability estimates in terms of width [PDF]
Studia Mathematica, 2005 10 ...
Latała, Rafał, Oleszkiewicz, Krzysztof
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Frontiers in Psychology, 2020 Scanning in football (soccer) denotes an active head movement where a player’s face is temporarily directed away from the ball to gather information in preparation for subsequently engaging with the ball. The aim of this study was to learn more about the
Geir Jordet +12 more
doaj +1 more source
Matchup models for the probability of a ground ball and a ground ball hit
Journal of Sports Analytics, 2017 We develop matchup models for the probability of a ground ball and a ground ball hit using twelve years of major league baseball play-by-play data.
Glenn Healey
doaj +1 more source