Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Dan Mikulincer"'
Publikováno v:
Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA) ISBN: 9781611977554
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89a4a30c38bf381b60c4234cf521555c
https://doi.org/10.1137/1.9781611977554.ch65
https://doi.org/10.1137/1.9781611977554.ch65
Autor:
Dan Mikulincer
Publikováno v:
Israel Journal of Mathematics. 242:215-241
We establish a dimension-free improvement of Talagrand’s Gaussian transport-entropy inequality, under the assumption that the measures satisfy a Poincare inequality. We also study stability of the inequality, in terms of relative entropy, when rest
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06ebe3b457fc05ca4e4504bf76cf3061
https://doi.org/10.1007/s11856-021-2129-x
https://doi.org/10.1007/s11856-021-2129-x
Autor:
Dan Mikulincer
Publikováno v:
International Mathematics Research Notices. 2022:7839-7872
We study the a central limit theorem for sums of independent tensor powers, $\frac{1}{\sqrt{d}}\sum \limits _{i=1}^d X_i^{\otimes p}$. We focus on the high-dimensional regime where $X_i \in{\mathbb{R}}^n$ and $n$ may scale with $d$. Our main result i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a5f8764732fd830e1fadd762c4ca194
https://doi.org/10.1093/imrn/rnaa336
https://doi.org/10.1093/imrn/rnaa336
Autor:
Ronen Eldan, Dan Mikulincer
Publikováno v:
Probability Theory and Related Fields
We prove stability estimates for the Shannon-Stam inequality (also known as the entropy-power inequality) for log-concave random vectors in terms of entropy and transportation distance. In particular, we give the first stability estimate for general
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9ffba832c4a27b8e542bea03125a0c5
https://doi.org/10.1007/s00440-020-00967-w
https://doi.org/10.1007/s00440-020-00967-w
Autor:
Itay Glazer, Dan Mikulincer
We study random variables of the form $f(X)$, when $f$ is a degree $d$ polynomial, and $X$ is a random vector on $\mathbb{R}^{n}$, motivated towards a deeper understanding of the covariance structure of $X^{\otimes d}$. For applications, the main int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a92cb17938e8761ae21a61b0bd3dc950
Autor:
Dan Mikulincer, Max Fathi
Publikováno v:
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2022, pp.1417-1445. ⟨10.2422/2036-2145.202011_016⟩
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2022, pp.1417-1445. ⟨10.2422/2036-2145.202011_016⟩
We investigate stability of invariant measures of diffusion processes with respect to $L^p$ distances on the coefficients, under an assumption of log-concavity. The method is a variant of a technique introduced by Crippa and De Lellis to study transp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a40c0ea22a31dcf33319046fe543b63b
http://arxiv.org/abs/2010.14178
http://arxiv.org/abs/2010.14178
Publikováno v:
Ann. Probab. 48, no. 5 (2020), 2494-2524
The Annals of Probability
The Annals of Probability
We introduce a new method for obtaining quantitative convergence rates for the central limit theorem (CLT) in a high dimensional setting. Using our method, we obtain several new bounds for convergence in transportation distance and entropy, and in pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a4dbba415d1f5c569a21c7c847fc12d
https://doi.org/10.1214/20-aop1429
https://doi.org/10.1214/20-aop1429
We make the first steps towards generalizing the theory of stochastic block models, in the sparse regime, towards a model where the discrete community structure is replaced by an underlying geometry. We consider a geometric random graph over a homoge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68cc9c015a8bd1255a0fe62eca9089e7
http://arxiv.org/abs/2006.15574
http://arxiv.org/abs/2006.15574
Autor:
Dan Mikulincer, Ronen Eldan
Publikováno v:
Lecture Notes in Mathematics ISBN: 9783030360191
This paper deals with the problem of detecting non-isotropic high-dimensional geometric structure in random graphs. Namely, we study a model of a random geometric graph in which vertices correspond to points generated randomly and independently from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::339810dbbb79958a870e0f1ce4d41504
https://doi.org/10.1007/978-3-030-36020-7_13
https://doi.org/10.1007/978-3-030-36020-7_13
Autor:
Dan Mikulincer, Merav Atias, Alexandra Stavsky, Tatiana Fedorova, Daniel Gitler, Yoav Shulman, Inna Slutsky, Joy Kahn, Igal Radinsky
Publikováno v:
The Journal of Neuroscience. 35:985-998
Synaptic transmission is expensive in terms of its energy demands and was recently shown to decrease the ATP concentration within presynaptic terminals transiently, an observation that we confirm. We hypothesized that, in addition to being an energy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26a1496f460acbafc9b527229e43f0a9
https://doi.org/10.1523/jneurosci.0944-14.2015
https://doi.org/10.1523/jneurosci.0944-14.2015