Zobrazeno 1 - 10
of 205
pro vyhledávání: '"Panchenko, Dmitry"'
In this paper we analyze, for a model of linear regression with gaussian covariates, the performance of a Bayesian estimator given by the mean of a log-concave posterior distribution with gaussian prior, in the high-dimensional limit where the number
Externí odkaz:
http://arxiv.org/abs/2107.06936
Publikováno v:
Inf. Inference, 11, no. 3 (2022) 1079-1108
We consider a generic class of log-concave, possibly random, (Gibbs) measures. We prove the concentration of an infinite family of order parameters called multioverlaps. Because they completely parametrise the quenched Gibbs measure of the system, th
Externí odkaz:
http://arxiv.org/abs/2009.12939
Autor:
Barbier, Jean, Panchenko, Dmitry
Publikováno v:
Communications in Mathematical Physics 393, no. 3 (2022) 1199-1239
We consider generic optimal Bayesian inference, namely, models of signal reconstruction where the posterior distribution and all hyperparameters are known. Under a standard assumption on the concentration of the free energy, we show how replica symme
Externí odkaz:
http://arxiv.org/abs/2005.03115
Publikováno v:
Electron. J. Probab. 25 (23), 1-17 (2020)
We study the free energy of mixed $p$-spin spin glass models enriched with an additional magnetic field given by the canonical Gaussian field associated with a Ruelle probability cascade. We prove that this free energy converges to the Hopf-Lax solut
Externí odkaz:
http://arxiv.org/abs/1910.14482
Autor:
Kulinskii, Vladimir, Panchenko, Dmitry
We consider singular self-adjoint extensions for one-dimensional Schr\"{o}dinger operator for two-component wave function within the framework of the distribution theory for discontinuous test functions \cite{funcan_deltadistr_kurasov_jmathan1996}. W
Externí odkaz:
http://arxiv.org/abs/1907.06893
Publikováno v:
Commun. Math. Phys., 381, no. 1 (2021) 257--291
In a recent paper [14], we developed the generalized TAP approach for mixed $p$-spin models with Ising spins at positive temperature. Here we extend these results in two directions. We find a simplified representation for the energy of the generalize
Externí odkaz:
http://arxiv.org/abs/1903.01030
Autor:
Kulinskii, Vladimir, Panchenko, Dmitry
We consider singular self-adjoint extensions for the Schr\"{o}dinger operator of spin-$1/2$ particle in one dimension. The corresponding boundary conditions at a singular point are obtained. There are boundary conditions with the spin-flip mechanism,
Externí odkaz:
http://arxiv.org/abs/1812.06503
Publikováno v:
Pure and Applied Mathematics 76 (7), 1329-1415 (2023)
We consider the mixed $p$-spin mean-field spin glass model with Ising spins and investigate its free energy in the spirit of the TAP approach, named after Thouless, Anderson, and Palmer. More precisely, we define and compute the generalized TAP corre
Externí odkaz:
http://arxiv.org/abs/1812.05066
Autor:
Kulinskii, Vladimir, Panchenko, Dmitry
Physical realizations of non-standard singular self-adjoint extensions for one-dimensional Schr\"odinger operator in terms of the mass-jump are considered. It is shown that corresponding boundary conditions can be realized for the Hamiltonian with th
Externí odkaz:
http://arxiv.org/abs/1805.11136