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Ising machines are hardware solvers which aim to find the absolute or approximate ground states of the Ising model. The Ising model is of fundamental computational interest because it is possible to formulate any problem in the complexity…

量子物理 · 物理学 2022-04-04 Naeimeh Mohseni , Peter L. McMahon , Tim Byrnes

We study the average long-time behavior of the binary opinions of a social group with peer-to-peer interactions under the influence of an external bias and a persuadable leader, a strongly-biased agent with a dynamic opinion with the…

Despite the prevalence of voting systems in the real world there is no consensus among researchers of how people vote strategically, even in simple voting settings. This paper addresses this gap by comparing different approaches that have…

计算机科学与博弈论 · 计算机科学 2019-09-24 Roy Fairstein , Adam Lauz , Kobi Gal , Reshef Meir

Simulated annealing (SA) attracts more attention among classical heuristic algorithms because the solution of the combinatorial optimization problem can be naturally mapped to the ground state of the Ising Hamiltonian. However, in practical…

人工智能 · 计算机科学 2022-03-28 Yunuo Cen , Debasis Das , Xuanyao Fong

We propose the misclassified Ising Model; a framework for analyzing dependent binary data where the binary state is susceptible to error. We extend the theoretical results of the model selection method presented in Ravikumar et. al. (2010)…

统计方法学 · 统计学 2017-04-21 David G. Sinclair , Giles Hooker

Without the ability to estimate and benchmark AI capability advancements, organizations are left to respond to each change reactively, impeding their ability to build viable mid and long-term strategies. This paper explores the recent…

计算机与社会 · 计算机科学 2023-04-03 Emily Dardaman , Abhishek Gupta

We demonstrate when and how an entire left-infinite orbit of an underlying dynamical system or observations from such left-infinite orbits can be uniquely represented by a pair of elements in a different space, a phenomenon which we call…

动力系统 · 数学 2023-04-05 G Manjunath , A de Clercq , MJ Steynberg

Inverse problems in statistical physics are motivated by the challenges of `big data' in different fields, in particular high-throughput experiments in biology. In inverse problems, the usual procedure of statistical physics needs to be…

无序系统与神经网络 · 物理学 2017-11-07 H. Chau Nguyen , Riccardo Zecchina , Johannes Berg

The central object of this PhD thesis is known under different names in the fields of computer science and statistical mechanics. In computer science, it is called the Maximum Cut problem, one of the famous twenty-one Karp's original…

机器学习 · 计算机科学 2022-08-31 Mikhail Krechetov

A systematic study of both classical and quantum geometric frustrated Ising models with a competing ordering mechanism is reported in this paper. The ordering comes in the classical case from a coupling of 2D layers and in the quantum model…

统计力学 · 物理学 2007-05-23 Ying Jiang , Thorsten Emig

If we have a system of binary variables and we measure the pairwise correlations among these variables, then the least structured or maximum entropy model for their joint distribution is an Ising model with pairwise interactions among the…

无序系统与神经网络 · 物理学 2014-09-12 Michele Castellana , William Bialek

We study the voting problem with two alternatives where voters' preferences depend on a not-directly-observable state variable. While equilibria in the one-round voting mechanisms lead to a good decision, they are usually hard to compute…

计算机科学与博弈论 · 计算机科学 2025-05-16 Qishen Han , Grant Schoenebeck , Biaoshuai Tao , Lirong Xia

Random fields of scales result when the class of musical scales is thought as a set of sites, and a site can be in one of two possible states (or spins): On or Off. We present a flexible simulated annealing model that produces generic…

统计力学 · 物理学 2025-07-02 Ricardo Gómez Aíza

Combinatorial optimization algorithms which compute exact ground state configurations in disordered magnets are seen to exhibit critical slowing down at zero temperature phase transitions. Using arguments based on the physical picture of…

无序系统与神经网络 · 物理学 2009-11-07 A. Alan Middleton

This study seeks to identify and quantify biases in simulating political samples with Large Language Models, specifically focusing on vote choice and public opinion. Using the GPT-3.5-Turbo model, we leverage data from the American National…

计算与语言 · 计算机科学 2024-07-17 Weihong Qi , Hanjia Lyu , Jiebo Luo

The question of how people vote strategically under uncertainty has attracted much attention in several disciplines. Theoretical decision models have been proposed which vary in their assumptions on the sophistication of the voters and on…

计算机科学与博弈论 · 计算机科学 2018-05-22 Roy Fairstein , Adam Lauz , Kobi Gal , Reshef Meir

In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

混沌动力学 · 物理学 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

We introduce new fast canonical local algorithms for discrete and continuous spin systems. We show that for a broad selection of spin systems they compare favorably to the known ones except for the Ising +/-1 spins. The new procedures use…

统计力学 · 物理学 2009-11-10 D. Loison , C. Qin , K. D. Schotte , X. F. Jin

We study the process of opinion formation in an Ising social network of scientific collaborations. The network is undirected. An Ising spin is associated with each network node being oriented up (red) or down (blue). Certain nodes carry…

物理与社会 · 物理学 2026-01-07 Kristina Bukina , Dima L. Shepelyansky

Logistic models are studied as a tool to convert output from numerical weather forecasting systems (deterministic and ensemble) into probability forecasts for binary events. A logistic model obtains by putting the logarithmic odds ratio…

大气与海洋物理 · 物理学 2009-01-29 Jochen Bröcker