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   Articles with "concentration inequalities" as a keyword



Concentration inequalities for matrix martingales in continuous time

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recommendations! Published in 2018 at "Probability Theory and Related Fields"

DOI: 10.1007/s00440-017-0786-9

Abstract: This paper gives new concentration inequalities for the spectral norm of a wide class of matrix martingales in continuous time. These results extend previously established Freedman and Bernstein inequalities for series of random matrices to… read more here.

Keywords: matrix martingales; concentration inequalities; martingales continuous; time ... See more keywords

Quantum Concentration Inequalities and Equivalence of the Thermodynamical Ensembles: An Optimal Mass Transport Approach

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recommendations! Published in 2024 at "Journal of Statistical Physics"

DOI: 10.1007/s10955-025-03464-3

Abstract: We prove new concentration inequalities for quantum spin systems which apply to any local observable measured on any product state or on any state with exponentially decaying correlations. Our results do not require the spins… read more here.

Keywords: concentration inequalities; exponentially decaying; decaying correlations; usepackage ... See more keywords

Concentration Inequalities and Optimal Number of Layers for Stochastic Deep Neural Networks

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recommendations! Published in 2022 at "IEEE Access"

DOI: 10.1109/access.2023.3268034

Abstract: We state concentration inequalities for the output of the hidden layers of a stochastic deep neural network (SDNN), as well as for the output of the whole SDNN. These results allow us to introduce an… read more here.

Keywords: concentration inequalities; optimal number; number layers; deep neural ... See more keywords

Transportation and concentration inequalities for bifurcating Markov chains

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recommendations! Published in 2017 at "Bernoulli"

DOI: 10.3150/16-bej843

Abstract: We investigate the transportation inequality for bifurcating Markov chains which are a class of processes indexed by a regular binary tree. Fitting well models like cell growth when each individual gives birth to exactly two… read more here.

Keywords: transportation; bifurcating markov; markov; concentration inequalities ... See more keywords