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The effect of randomness on critical behavior is a crucial subject in condensed matter physics due to the the presence of impurity in any real material. We presently probe the critical behaviour of the antiferromagnetic (AF) Ising model on…

无序系统与神经网络 · 物理学 2018-05-23 Tasrief Surungan , Bansawang BJ , Muhammad Yusuf

These lecture notes provide a (almost) self-contained account on conformal invariance of the planar critical Ising and FK-Ising models. They present the theory of discrete holomorphic functions and its applications to planar statistical…

概率论 · 数学 2012-06-22 Hugo Duminil-Copin , Stanislav Smirnov

We consider spin models on complex networks frequently used to model social and technological systems. We study the annealed ferromagnetic Ising model for random networks with either independent edges (Erd\H{o}s-R\'enyi), or with prescribed…

无序系统与神经网络 · 物理学 2021-12-07 Van Hao Can , Cristian Giardinà , Claudio Giberti , Remco van der Hofstad

Given data sampled from a number of variables, one is often interested in the underlying causal relationships in the form of a directed acyclic graph. In the general case, without interventions on some of the variables it is only possible…

机器学习 · 统计学 2017-12-05 Christopher Nowzohour , Peter Bühlmann

Collective electronic fluctuations in correlated materials give rise to various important phenomena, such as existence of the charge ordering, superconductivity, Mott insulating and magnetic phases, plasmon and magnon modes, and other…

强关联电子 · 物理学 2019-03-19 E. A. Stepanov , A. Huber , A. I. Lichtenstein , M. I. Katsnelson

We study identifiability in continuous-time linear stationary stochastic differential equations with known causal structure. Unlike existing approaches, we relax the assumption of a known diffusion matrix, thereby respecting the model's…

统计理论 · 数学 2026-03-10 Gijs van Seeventer , Saber Salehkaleybar

Electromagnetic rigidity which exists in large-scale optical resonators if pumping frequency is detuned from the eigenfrequency of resonator have sophisticated spectral dependence which allows to obtain sensitivity better than the Standard…

广义相对论与量子宇宙学 · 物理学 2009-11-07 F. Ya. Khalili

Over the years, the forensics community has proposed several deep learning-based detectors to mitigate the risks of generative AI. Recently, frequency-domain artifacts (particularly periodic peaks in the magnitude spectrum), have received…

计算机视觉与模式识别 · 计算机科学 2025-10-08 Sara Mandelli , Diego Vila-Portela , David Vázquez-Padín , Paolo Bestagini , Fernando Pérez-González

In many applications of spin models, the fast estimation of their critical temperatures and other physical properties is of great importance. In this work, we present the analytical expressions estimating the critical properties of…

统计力学 · 物理学 2025-10-08 Vladislav Egorov , Stepan Osipov

Given samples from an unknown multivariate distribution $p$, is it possible to distinguish whether $p$ is the product of its marginals versus $p$ being far from every product distribution? Similarly, is it possible to distinguish whether…

数据结构与算法 · 计算机科学 2019-07-12 Constantinos Daskalakis , Nishanth Dikkala , Gautam Kamath

This study formulates the IR target detection as a binary classification problem of each pixel. Each pixel is associated with a label which indicates whether it is a target or background pixel. The optimal label set for all the pixels of an…

计算机视觉与模式识别 · 计算机科学 2014-09-10 Toufiq Parag

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

统计力学 · 物理学 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

We demonstrate the possibility in quantifying the Raman intensities for both specimen and substrate layers in a common stacked experimental configuration and, consequently, propose a general and rapid thickness identification technique for…

介观与纳米尺度物理 · 物理学 2013-08-20 Song-Lin Li , Hisao Miyazaki , Haisheng Song , Hiromi Kuramochi , Shu Nakaharai , Kazuhito Tsukagoshi

Inference and learning of graphical models are both well-studied problems in statistics and machine learning that have found many applications in science and engineering. However, exact inference is intractable in general graphical models,…

机器学习 · 统计学 2015-02-04 Jason K. Johnson , Diane Oyen , Michael Chertkov , Praneeth Netrapalli

A periodic Ising model is one endowed with interactions that are invariant under translations of members of a full-rank sublattice $\mathfrak{L}$ of $\mathbb{Z}^2$. We give an exact, quantitative description of the critical temperature,…

数学物理 · 物理学 2012-04-10 Zhongyang Li

Mean-field variational inference (MFVI) has been widely applied in large scale Bayesian inference. However MFVI, which assumes a product distribution on the latent variables, often leads to objective functions with many local optima, making…

统计理论 · 数学 2020-03-03 Mingzhang Yin , Y. X. Rachel Wang , Purnamrita Sarkar

Deploying machine learning models in safety-related do-mains (e.g. autonomous driving, medical diagnosis) demands for approaches that are explainable, robust against adversarial attacks and aware of the model uncertainty. Recent deep…

计算机视觉与模式识别 · 计算机科学 2020-12-14 Jan Kronenberger , Anselm Haselhoff

We study the two-dimensional Ising model on a network with a novel type of quenched topological (connectivity) disorder. We construct random lattices of constant coordination number and perform large scale Monte Carlo simulations in order…

统计力学 · 物理学 2018-03-07 Manuel Schrauth , Julian A. J. Richter , Jefferson S. E. Portela

Radio emission propagating over an Earth-pulsar line of sight provides a unique probe of the intervening ionized interstellar medium (ISM). Variations in the integrated electron column density along this line of sight, or dispersion measure…

高能天体物理现象 · 物理学 2020-04-08 M. T. Lam , T. J. W. Lazio , T. Dolch , M. L. Jones , M. A. McLaughlin , D. R. Stinebring , M. Surnis

The Griffiths phase in systems with quenched disorder occurs below the ordering transition of the pure system down to the ordering transition of the actual disordered system. While it does not exhibit long-range order, large fluctuations in…

无序系统与神经网络 · 物理学 2024-11-14 Lambert Münster , Alexander K. Hartmann , Martin Weigel