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We present a Hopfield-like autoassociative network for memories representing examples of concepts. Each memory is encoded by two activity patterns with complementary properties. The first is dense and correlated across examples within…

Neurons and Cognition · Quantitative Biology 2023-08-28 Louis Kang , Taro Toyoizumi

The two dimensional Hubbard model in the presence of diagonal and off-diagonal disorder is studied at half filling with a finite temperature quantum Monte Carlo method. Magnetic correlations as well as the electronic compressibility are…

Condensed Matter · Physics 2009-10-28 Martin Ulmke , Richard T. Scalettar

Within a Lagrangian formalism we derive the time-dependent Gutzwiller approximation for general multi-band Hubbard models. Our approach explicitly incorporates the coupling between time-dependent variational parameters and a time-dependent…

Strongly Correlated Electrons · Physics 2015-06-15 J. Bünemann , M. Capone , J. Lorenzana , G. Seibold

It is well known that nonrelativistic quantum mechanics presents a clear asymmetry between space and time. Much of this asymmetry is attributed to the lack of Lorentz invariance of the theory. Nonetheless, a recent work [Phys. Rev. A…

Quantum Physics · Physics 2017-12-12 Ricardo Ximenes , Eduardo O. Dias

We present the results of a detailed study of energy correlations at steady state for a 1-D model of coupled energy and matter transport. Our aim is to discover -- via theoretical arguments, conjectures, and numerical simulations -- how…

Statistical Mechanics · Physics 2007-05-23 Kevin K. Lin , Lai-Sang Young

Dense Associative Memories or modern Hopfield networks permit storage and reliable retrieval of an exponentially large (in the dimension of feature space) number of memories. At the same time, their naive implementation is non-biological,…

Neurons and Cognition · Quantitative Biology 2021-04-29 Dmitry Krotov , John Hopfield

Diagrammatic approach proposed many years ago for strong correlated Hubbard model is developed for analyzing of the thermodynamic potential properties. The new exact relation between such renormalized quantities as thermodynamic potential,…

Strongly Correlated Electrons · Physics 2015-05-14 V. A. Moskalenko , L. A. Dohotaru , I. D. Cebotari

We employ the numerical linked-cluster expansion to study finite-temperature properties of the uniform cubic lattice Hubbard model in the thermodynamic limit for a wide range of interaction strengths and densities. We carry out the…

Strongly Correlated Electrons · Physics 2016-09-13 Ehsan Khatami

In this paper we look at a class of random optimization problems that arise in the forms typically known in statistical physics as Little models. In \cite{BruParRit92} the Little models were studied by means of the well known tool from the…

Optimization and Control · Mathematics 2013-06-19 Mihailo Stojnic

Context: Occultation experiments represent unique opportunities for probing remotely physical properties of atmospheres. The data processing requires one to properly account for refractivity while modeling the time/frequency transfers of an…

General Relativity and Quantum Cosmology · Physics 2021-04-14 A. Bourgoin , M. Zannoni , L. Gomez Casajus , P. Tortora , P. Teyssandier

We suggest a method to compute approximations to temporal correlation functions of few-body observables in chaotic many-body systems in the thermodynamic limit based on the respective Lanczos coefficients. Given the knowledge of these…

Statistical Mechanics · Physics 2025-12-18 Merlin Füllgraf , Jiaozi Wang , Robin Steinigeweg , Jochen Gemmer

We study relativistic nuclear matter in the $\sigma - \omega$ model including the ring-sum correlation energy. The model parameters are adjusted self-consistently to give the canonical saturation density and binding energy per nucleon with…

Nuclear Theory · Physics 2008-11-26 J. A. McNeil , C. E. Price , J. R. Shepard

Correlated topic modeling has been limited to small model and problem sizes due to their high computational cost and poor scaling. In this paper, we propose a new model which learns compact topic embeddings and captures topic correlations…

Machine Learning · Computer Science 2017-07-04 Junxian He , Zhiting Hu , Taylor Berg-Kirkpatrick , Ying Huang , Eric P. Xing

Sequence memory is an essential attribute of natural and artificial intelligence that enables agents to encode, store, and retrieve complex sequences of stimuli and actions. Computational models of sequence memory have been proposed where…

Neural and Evolutionary Computing · Computer Science 2023-11-06 Hamza Tahir Chaudhry , Jacob A. Zavatone-Veth , Dmitry Krotov , Cengiz Pehlevan

We present an implementation and analysis of a stochastic high performance algorithm to calculate the correlation energy of three dimensional periodic systems in second-order M{\o}ller-Plesset perturbation theory (MP2). In particular we…

Chemical Physics · Physics 2018-02-12 Tobias Schäfer , Benjamin Ramberger , Georg Kresse

We investigate temporal correlations in the simplest measurement scenario, i.e., that of a physical system on which the same measurement is performed at different times, producing a sequence of dichotomic outcomes. The resource for…

Quantum Physics · Physics 2022-01-19 Lucas B. Vieira , Costantino Budroni

Motivated by the rapidly growing possibilities for experiments with ultracold atoms in optical lattices we investigate the thermodynamic properties of correlated lattice fermions in the presence of an external spin-dependent random…

Strongly Correlated Electrons · Physics 2015-06-15 K. Makuch , J. Skolimowski , P. B. Chakraborty , K. Byczuk , D. Vollhardt

High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

Methodology · Statistics 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

Inhomogeneous temporal processes, like those appearing in human communications, neuron spike trains, and seismic signals, consist of high-activity bursty intervals alternating with long low-activity periods. In recent studies such bursty…

Physics and Society · Physics 2011-12-01 Márton Karsai , Kimmo Kaski , Albert-László Barabási , János Kertész

The complicated interactions in presence of disorder lead to a correlated randomization of states. The Hamiltonian as a result behaves like a multi-parametric random matrix with correlated elements. We show that the eigenvalue correlations…

Disordered Systems and Neural Networks · Physics 2009-11-10 Pragya Shukla
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