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Journal articles on the topic 'Concentration inequalities'

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Author: Grafiati

Published: 4 June 2021

Last updated: 1 June 2024

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1

Chung, Fan, and Linyuan Lu. "Concentration Inequalities and Martingale Inequalities: A Survey." Internet Mathematics 3, no. 1 (January 2006): 79–127. http://dx.doi.org/10.1080/15427951.2006.10129115.

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2

Sadeghi, Ghadir, and Mohammad Sal Moslehian. "Noncommutative martingale concentration inequalities." Illinois Journal of Mathematics 58, no. 2 (2014): 561–75. http://dx.doi.org/10.1215/ijm/1436275498.

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3

Ding, Ying. "Wasserstein-Divergence transportation inequalities and polynomial concentration inequalities." Statistics & Probability Letters 94 (November 2014): 77–85. http://dx.doi.org/10.1016/j.spl.2014.07.013.

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4

Chen, Huiming Zhang &. Song Xi. "Concentration Inequalities for Statistical Inference." Communications in Mathematical Research 37, no. 1 (June 2021): 1–85. http://dx.doi.org/10.4208/cmr.2020-0041.

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5

Vershynin, Roman. "Concentration inequalities for random tensors." Bernoulli 26, no. 4 (November 2020): 3139–62. http://dx.doi.org/10.3150/20-bej1218.

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6

Bhat, M. Ashraf, and G. Sankara Raju Kosuru. "Generalizations of some concentration inequalities." Statistics & Probability Letters 182 (March 2022): 109298. http://dx.doi.org/10.1016/j.spl.2021.109298.

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7

PAPAGEORGIOU, IOANNIS. "CONCENTRATION INEQUALITIES FOR GIBBS MEASURES." Infinite Dimensional Analysis, Quantum Probability and Related Topics 14, no. 01 (March 2011): 79–104. http://dx.doi.org/10.1142/s0219025711004316.

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We are interested in Sobolev type inequalities and their relationship with concentration properties on higher dimensions. We consider unbounded spin systems on the d-dimensional lattice with interactions that increase slower than a quadratic. At first we assume that the one-site measure satisfies a modified log-Sobolev inequality with a constant uniformly on the boundary conditions and we determine conditions so that the infinite-dimensional Gibbs measure satisfies a concentration as well as a Talagrand type inequality, similar to the ones obtained by Barthe and Roberto6 for the product measure. Then a modified log-Sobolev type concentration property is obtained under weaker conditions referring to the log-Sobolev inequalities for the boundary free measure.

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8

Chatterjee, Sourav. "Stein’s method for concentration inequalities." Probability Theory and Related Fields 138, no. 1-2 (October 19, 2006): 305–21. http://dx.doi.org/10.1007/s00440-006-0029-y.

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9

Aoun, Richard, Marwa Banna, and Pierre Youssef. "Matrix Poincaré inequalities and concentration." Advances in Mathematics 371 (September 2020): 107251. http://dx.doi.org/10.1016/j.aim.2020.107251.

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10

Tropp, Joel A. "Second-order matrix concentration inequalities." Applied and Computational Harmonic Analysis 44, no. 3 (May 2018): 700–736. http://dx.doi.org/10.1016/j.acha.2016.07.005.

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11

Bardenet, Rémi, and Odalric-Ambrym Maillard. "Concentration inequalities for sampling without replacement." Bernoulli 21, no. 3 (August 2015): 1361–85. http://dx.doi.org/10.3150/14-bej605.

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12

Tropp, Joel A. "An Introduction to Matrix Concentration Inequalities." Foundations and Trends® in Machine Learning 8, no. 1-2 (2015): 1–230. http://dx.doi.org/10.1561/2200000048.

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13

Marchina, Antoine. "Concentration inequalities for separately convex functions." Bernoulli 24, no. 4A (November 2018): 2906–33. http://dx.doi.org/10.3150/17-bej949.

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14

FOX, JACOB, MATTHEW KWAN, and LISA SAUERMANN. "Combinatorial anti-concentration inequalities, with applications." Mathematical Proceedings of the Cambridge Philosophical Society 171, no. 2 (June 30, 2021): 227–48. http://dx.doi.org/10.1017/s0305004120000183.

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AbstractWe prove several different anti-concentration inequalities for functions of independent Bernoulli-distributed random variables. First, motivated by a conjecture of Alon, Hefetz, Krivelevich and Tyomkyn, we prove some “Poisson-type” anti-concentration theorems that give bounds of the form 1/e + o(1) for the point probabilities of certain polynomials. Second, we prove an anti-concentration inequality for polynomials with nonnegative coefficients which extends the classical Erdős–Littlewood–Offord theorem and improves a theorem of Meka, Nguyen and Vu for polynomials of this type. As an application, we prove some new anti-concentration bounds for subgraph counts in random graphs.

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15

Беломестный, Денис Витальевич, Denis Vital'evich Belomestny, Владимир Григорьевич Спокойный, and Vladimir Grigor'evich Spokoiny. "Concentration inequalities for smooth random fields." Teoriya Veroyatnostei i ee Primeneniya 58, no. 2 (2013): 401–10. http://dx.doi.org/10.4213/tvp4515.

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16

Gozlan, Nathael. "Transport inequalities and Concentration of measure." ESAIM: Proceedings and Surveys 51 (October 2015): 1–23. http://dx.doi.org/10.1051/proc/201551001.

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17

Miao, Yu. "Concentration inequalities for semi-bounded martingales." ESAIM: Probability and Statistics 12 (November 13, 2007): 51–57. http://dx.doi.org/10.1051/ps:2007033.

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18

Dembo, Amir. "Information inequalities and concentration of measure." Annals of Probability 25, no. 2 (April 1997): 927–39. http://dx.doi.org/10.1214/aop/1024404424.

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19

Massart, Pascal, G�bor Lugosi, and St�phane Boucheron. "Concentration inequalities using the entropy method." Annals of Probability 31, no. 3 (July 2003): 1583–614. http://dx.doi.org/10.1214/aop/1055425791.

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20

Cummins, Mark, and Paul Newman. "Accelerating FAB-MAP With Concentration Inequalities." IEEE Transactions on Robotics 26, no. 6 (December 2010): 1042–50. http://dx.doi.org/10.1109/tro.2010.2080390.

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21

Belomestny, D., and V. Spokoiny. "Concentration Inequalities for Smooth Random Fields." Theory of Probability & Its Applications 58, no. 2 (January 2014): 314–23. http://dx.doi.org/10.1137/s0040585x9798659x.

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22

Tolstikhin, I. O. "Concentration Inequalities for Samples without Replacement." Theory of Probability & Its Applications 61, no. 3 (January 2017): 462–81. http://dx.doi.org/10.1137/s0040585x97t988277.

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23

Rogozin, B. A. "Inequalities for Concentration of a Decomposition." Theory of Probability & Its Applications 38, no. 3 (September 1994): 556–62. http://dx.doi.org/10.1137/1138057.

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24

Henriksen, Amelia, and Rachel Ward. "Concentration inequalities for random matrix products." Linear Algebra and its Applications 594 (June 2020): 81–94. http://dx.doi.org/10.1016/j.laa.2020.01.040.

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25

Goldstein, Larry, and Ümit Işlak. "Concentration inequalities via zero bias couplings." Statistics & Probability Letters 86 (March 2014): 17–23. http://dx.doi.org/10.1016/j.spl.2013.12.001.

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26

Talagrand, Michel. "New concentration inequalities in product spaces." Inventiones Mathematicae 126, no. 3 (November 4, 1996): 505–63. http://dx.doi.org/10.1007/s002220050108.

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27

Eaton, Morris L. "Concentration inequalities for Gauss-Markov estimators." Journal of Multivariate Analysis 25, no. 1 (April 1988): 119–38. http://dx.doi.org/10.1016/0047-259x(88)90157-1.

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28

Chazottes, Jean-René, and Sébastien Gouëzel. "Optimal Concentration Inequalities for Dynamical Systems." Communications in Mathematical Physics 316, no. 3 (October 30, 2012): 843–89. http://dx.doi.org/10.1007/s00220-012-1596-7.

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29

Chazottes, Jean-René, Pierre Collet, and Frank Redig. "Coupling, concentration inequalities, and stochastic dynamics." Journal of Mathematical Physics 49, no. 12 (December 2008): 125214. http://dx.doi.org/10.1063/1.2995833.

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30

Bobkov, S. G., C. Houdré, and P. Tetali. "The subgaussian constant and concentration inequalities." Israel Journal of Mathematics 156, no. 1 (December 2006): 255–83. http://dx.doi.org/10.1007/bf02773835.

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31

Jensen, D. R. "Efficiency and concentration inequalities on k." Statistics & Probability Letters 18, no. 3 (October 1993): 209–11. http://dx.doi.org/10.1016/0167-7152(93)90218-8.

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32

Makarychev, Konstantin, Warren Schudy, and Maxim Sviridenko. "Concentration inequalities for nonlinear matroid intersection." Random Structures & Algorithms 46, no. 3 (July 27, 2013): 541–71. http://dx.doi.org/10.1002/rsa.20514.

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33

Varghese, N. V., and Jinusha Panigrahi. "Concentration of Institutions and Urban Bias in India." International Higher Education, no. 99 (September 17, 2019): 20–21. http://dx.doi.org/10.6017/ihe.2019.99.11661.

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Higher education development in India shows signs of concentration and urban bias. As in many countries, the permeation of market processes and proliferation of private higher education institutions seem to have contributed to increased regional inequalities. Relying on the concentration ratio, a measure developed by a CPRHE/NIEPA research study, this article discusses the nature and extent of regional inequalities in the current provision of higher education and identifies locations to be prioritized for establishing new institutions to level off regional inequalities in the future.

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34

Ding, Ying, and Xinsheng Zhang. "A new kind of modified transportation cost inequalities and polynomial concentration inequalities." Statistics & Probability Letters 81, no. 10 (October 2011): 1524–34. http://dx.doi.org/10.1016/j.spl.2011.05.006.

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35

Zhonggen, Su, and Wang Hanchao. "Exponential concentration inequalities for purely discontinuous martingales." SCIENTIA SINICA Mathematica 52, no. 7 (March 8, 2021): 765. http://dx.doi.org/10.1360/scm-2020-0757.

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36

Frankl, Peter, and Andrey Kupavskii. "The Erdős Matching Conjecture and concentration inequalities." Journal of Combinatorial Theory, Series B 157 (November 2022): 366–400. http://dx.doi.org/10.1016/j.jctb.2022.08.002.

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37

Golubev, Yu, and D. Ostrovski. "Concentration inequalities for the exponential weighting method." Mathematical Methods of Statistics 23, no. 1 (January 2014): 20–37. http://dx.doi.org/10.3103/s1066530714010025.

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38

Götze, Friedrich, and Holger Sambale. "Second order concentration via logarithmic Sobolev inequalities." Bernoulli 26, no. 1 (February 2020): 93–126. http://dx.doi.org/10.3150/19-bej1118.

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39

Duerinckx, Mitia, and Antoine Gloria. "Multiscale functional inequalities in probability: Concentration properties." Latin American Journal of Probability and Mathematical Statistics 17, no. 1 (2020): 133. http://dx.doi.org/10.30757/alea.v17-06.

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40

Reynaud-Bouret, Patricia. "Concentration inequalities, counting processes and adaptive statistics." ESAIM: Proceedings 44 (January 2014): 79–98. http://dx.doi.org/10.1051/proc/201444004.

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41

Siri, Paola, and Barbara Trivellato. "Robust concentration inequalities in maximal exponential models." Statistics & Probability Letters 170 (March 2021): 109001. http://dx.doi.org/10.1016/j.spl.2020.109001.

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42

Chazottes, J. R., P. Collet, C. Külske, and F. Redig. "Concentration inequalities for random fields via coupling." Probability Theory and Related Fields 137, no. 1-2 (September 22, 2006): 201–25. http://dx.doi.org/10.1007/s00440-006-0026-1.

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43

Redig, Frank, and Jean Rene Chazottes. "Concentration inequalities for Markov processes via coupling." Electronic Journal of Probability 14 (2009): 1162–80. http://dx.doi.org/10.1214/ejp.v14-657.

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44

Massart, Pascal. "Some applications of concentration inequalities to statistics." Annales de la faculté des sciences de Toulouse Mathématiques 9, no. 2 (2000): 245–303. http://dx.doi.org/10.5802/afst.961.

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45

Del Moral, Pierre, and Emmanuel Rio. "Concentration inequalities for mean field particle models." Annals of Applied Probability 21, no. 3 (June 2011): 1017–52. http://dx.doi.org/10.1214/10-aap716.

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46

Chatterjee, Sourav, and Partha S. Dey. "Applications of Stein’s method for concentration inequalities." Annals of Probability 38, no. 6 (November 2010): 2443–85. http://dx.doi.org/10.1214/10-aop542.

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47

Maurer, Andreas. "Concentration inequalities for functions of independent variables." Random Structures and Algorithms 29, no. 2 (2006): 121–38. http://dx.doi.org/10.1002/rsa.20105.

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48

Benoist, Tristan, Lisa Hänggli, and Cambyse Rouzé. "Deviation bounds and concentration inequalities for quantum noises." Quantum 6 (August 4, 2022): 772. http://dx.doi.org/10.22331/q-2022-08-04-772.

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We provide a stochastic interpretation of non-commutative Dirichlet forms in the context of quantum filtering. For stochastic processes motivated by quantum optics experiments, we derive an optimal finite time deviation bound expressed in terms of the non-commutative Dirichlet form. Introducing and developing new non-commutative functional inequalities, we deduce concentration inequalities for these processes. Examples satisfying our bounds include tensor products of quantum Markov semigroups as well as Gibbs samplers above a threshold temperature.

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49

Sambale, Holger, and Arthur Sinulis. "Modified log-Sobolev inequalities and two-level concentration." Latin American Journal of Probability and Mathematical Statistics 18, no. 1 (2021): 855. http://dx.doi.org/10.30757/alea.v18-31.

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50

Pepin, Bob. "Concentration inequalities for additive functionals: A martingale approach." Stochastic Processes and their Applications 135 (May 2021): 103–38. http://dx.doi.org/10.1016/j.spa.2021.01.004.

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