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We consider the problem of learning the structure of ferromagnetic Ising models Markov on sparse Erdos-Renyi random graph. We propose simple local algorithms and analyze their performance in the regime of correlation decay. We prove that an…

Statistics Theory · Mathematics 2015-03-17 Animashree Anandkumar , Vincent Tan , Alan Willsky

In this article we show that the reconstructions of semiconductor surfaces can be determined using a genetic procedure. Coupled with highly optimized interatomic potentials, the present approach represents an efficient tool for finding and…

Materials Science · Physics 2009-11-10 F. C. Chuang , C. V. Ciobanu , V. B. Shenoy , C. Z. Wang , K. M. Ho

This paper is a theoretical and numerical study of the uniform growth of a repeating sinusoidal imperfection in the line of a strut on a nonlinear elastic Winkler type foundation. The imperfection is introduced by considering an initially…

Classical Physics · Physics 2021-01-29 Romain Lagrange , Daniel Averbuch

Learning Gibbs distributions using only sufficient statistics has long been recognized as a computationally hard problem. On the other hand, computationally efficient algorithms for learning Gibbs distributions rely on access to full sample…

Machine Learning · Computer Science 2026-02-16 Abhijith Jayakumar , Shreya Shukla , Marc Vuffray , Andrey Y. Lokhov , Sidhant Misra

Stochastic models of surface growth are usually based on randomly choosing a substrate site to perform iterative steps, as in the etching model [1]. In this paper I modify the etching model to perform sequential, instead of random,…

Statistical Mechanics · Physics 2017-07-19 Bernardo A. Mello

Physically accurate and mathematically tractable models are presented to characterize scattering and reflection properties of reconfigurable intelligent surfaces (RISs). We take continuous and discrete strategies to model a single patch and…

Systems and Control · Electrical Eng. & Systems 2022-08-31 Tiebin Mi , Jianan Zhang , Rujing Xiong , Zhengyu Wang , Robert Caiming Qiu

Electromigration, a significant lifetime reliability concern in highperformance integrated circuits, is projected to grow even more important in future heterogeneously integrated systems that will service higher current loads. Today, EM…

Hardware Architecture · Computer Science 2026-03-17 Sachin S. Sapatnekar

The construction of computer models (mathematical models implemented in computer codes), with respect to observed phenomena, is usually undertaken by building different variants depending on modeller sensibility, and choosing the one…

Methodology · Statistics 2018-03-28 Filippo Monari

Local decision rules are commonly understood to be more explainable, due to the local nature of the patterns involved. With numerical optimization methods such as gradient boosting, ensembles of local decision rules can gain good predictive…

Machine Learning · Computer Science 2025-08-27 Xin Du , Subramanian Ramamoorthy , Wouter Duivesteijn , Jin Tian , Mykola Pechenizkiy

We consider the task of learning Ising models when the signs of different random variables are flipped independently with possibly unequal, unknown probabilities. In this paper, we focus on the problem of robust estimation of…

Machine Learning · Statistics 2020-06-11 Ashish Katiyar , Vatsal Shah , Constantine Caramanis

Analysis of Electrochemical Impedance Spectroscopy (EIS) data for electrochemical systems often consists of defining an Equivalent Circuit Model (ECM) using expert knowledge and then optimizing the model parameters to deconvolute various…

A hyperbolic plane can be modeled by a structure called the enhanced binary tree. We study the ferromagnetic Ising model on top of the enhanced binary tree using the renormalization-group analysis in combination with transfer-matrix…

Statistical Mechanics · Physics 2015-05-30 Seung Ki Baek , Harri Mäkelä , Petter Minnhagen , Beom Jun Kim

Network reliability is the probability that a dynamical system composed of discrete elements interacting on a network will be found in a configuration that satisfies a particular property. We introduce a new reliability property, Ising…

Statistical Mechanics · Physics 2016-11-23 Yihui Ren , Stephen Eubank , Madhurima Nath

Reconstruction of structure and parameters of an Ising model from binary samples is a problem of practical importance in a variety of disciplines, ranging from statistical physics and computational biology to image processing and machine…

Statistical Mechanics · Physics 2017-12-27 Andrey Y. Lokhov , Marc Vuffray , Sidhant Misra , Michael Chertkov

We develop estimation and inference methods for a stylized macroeconomic model with potentially multiple behavioural equilibria, where agents form expectations using a constant-gain learning rule. We first show geometric ergodicity of the…

Econometrics · Economics 2026-03-10 Alexander Mayer , Davide Raggi

We introduce a comprehensive data-driven framework aimed at enhancing the modeling of physical systems, employing inference techniques and machine learning enhancements. As a demonstrative application, we pursue the modeling of cathodic…

Computational Physics · Physics 2025-02-04 Christian Jacobsen , Jiayuan Dong , Mehdi Khalloufi , Xun Huan , Karthik Duraisamy , Maryam Akram , Wanjiao Liu

In the present work, a machine learning based constitutive model for electro-mechanically coupled material behavior at finite deformations is proposed. Using different sets of invariants as inputs, an internal energy density is formulated…

Computational Engineering, Finance, and Science · Computer Science 2022-08-30 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

Machine learning is becoming widely used in condensed matter physics. Inspired by the concept of image super-resolution, we propose a method to increase the size of lattice spin configurations using deep convolutional neural networks.…

Statistical Mechanics · Physics 2019-02-13 Stavros Efthymiou , Matthew J. S. Beach , Roger G. Melko

We propose a novel type of minor-embedding (ME) in simulated-annealing-based Ising machines. The Ising machines can solve combinatorial optimization problems. Many combinatorial optimization problems are mapped to find the ground…

Statistical Mechanics · Physics 2020-12-07 Tatsuhiko Shirai , Shu Tanaka , Nozomu Togawa

Electron microscopy (EM) is a foundational tool for directly assessing the structure of materials. Recent advances in direct electron detectors have improved signal-to noise ratios via single-electron counting. However, accurately counting…

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