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Here I will review the theoretical results that have been obtained for spin glasses. I will concentrate my attention on the predictions of the mean field approach in three dimensional systems and on its numerical and experimental…

无序系统与神经网络 · 物理学 2009-11-13 Giorgio Parisi

As well as several different kinds of periodically ordered ferroic phases, there are now recognized several different examples of ferroic glassiness, although not always described as such and in material fields of study that have mostly…

材料科学 · 物理学 2018-12-07 David Sherrington

Hierarchical spin-glasses are Ising spin models defined by recursively coupling together two equally-sized sub-systems. In this work a new hierarchical spin system is introduced wherein the sub-systems are recursively coupled together…

无序系统与神经网络 · 物理学 2023-04-05 Gavin S Hartnett

In the last few years, the formulation of real-world optimization problems and their efficient solution via metaheuristic algorithms has been a catalyst for a myriad of research studies. In spite of decades of historical advancements on the…

Spin glass systems as lattices of disordered magnets with random interactions have important implications within the theory of magnetization and applications to a wide-range of hard combinatorial optimization problems. Nevertheless, despite…

无序系统与神经网络 · 物理学 2025-10-28 Fredrik Hasselgren , Max O. Al-Hasso , Amy Searle , Joseph Tindall , Marko von der Leyen

Spin glasses occupy a unique place in condensed matter: they freeze collectively while remaining struc-turally disordered, and they exhibit slow, history-dependent dynamics that reflect an exceptionally rug-ged free-energy landscape. This…

无序系统与神经网络 · 物理学 2025-12-25 Naeimeh Tahriri , Vahid Mahdikhah , Jahanfar Abouie , Daryoosh Vashaee

Comparisons and analogies are drawn between materials ferroic glasses and conventional spin glasses, in terms of both experiment and theoretical modelling, with inter-system conceptual transfers leading to suggestions of further issues to…

无序系统与神经网络 · 物理学 2019-09-04 David Sherrington

This paper develops approximate message passing algorithms to optimize multi-species spherical spin glasses. We first show how to efficiently achieve the algorithmic threshold energy identified in our companion work, thus confirming that…

概率论 · 数学 2024-01-30 Brice Huang , Mark Sellke

Complex engineering problems can be modelled as optimisation problems. For instance, optimising engines, materials, components, structure, aerodynamics, navigation, control, logistics, and planning is essential in aerospace. Metaheuristics…

神经与进化计算 · 计算机科学 2024-11-06 Carlos Alberto da Silva Junior , Marconi de Arruda Pereira , Angelo Passaro

Many questions of fundamental interest in todays science can be formulated as inference problems: Some partial, or noisy, observations are performed over a set of variables and the goal is to recover, or infer, the values of the variables…

统计力学 · 物理学 2018-01-24 Lenka Zdeborová , Florent Krzakala

Recent studies on the spin and the chirality orderings of the three-dimensional Heisenberg spin glass and related systems are reviewed with particular emphasis on the possible spin-chirality decoupling phenomena. Chirality scenario of real…

无序系统与神经网络 · 物理学 2009-11-11 Hikaru Kawamura

The paper presents a comprehensive performance evaluation of some heuristic search algorithms in the context of autonomous systems and robotics. The objective of the study is to evaluate and compare the performance of different search…

多智能体系统 · 计算机科学 2023-10-05 Aya Kherrour , Marco Robol , Marco Roveri , Paolo Giorgini

Many developments in science and engineering depend on tackling complex optimizations on large scales. The challenge motivates intense search for specific computing hardware that takes advantage from quantum features, nonlinear dynamics, or…

光学 · 物理学 2021-04-07 Davide Pierangeli , Mushegh Rafayelyan , Claudio Conti , Sylvain Gigan

Among various algorithms designed to exploit the specific properties of quantum computers with respect to classical ones, the quantum adiabatic algorithm is a versatile proposition to find the minimal value of an arbitrary cost function…

统计力学 · 物理学 2013-01-29 Victor Bapst , Laura Foini , Florent Krzakala , Guilhem Semerjian , Francesco Zamponi

In this work a short overview of the development of spin glass theories, mainly long and short range Ising models, are presented.

凝聚态物理 · 物理学 2007-05-23 J. R. L. de Almeida , S. Coutinho

We explore a new general-purpose heuristic for finding high-quality solutions to hard optimization problems. The method, called extremal optimization, is inspired by self-organized criticality, a concept introduced to describe emergent…

统计力学 · 物理学 2009-10-31 S. Boettcher , A. G. Percus

We describe a numerical algorithm for computing spin glass ground states with a high level of reliability. The method uses a population based search and applies optimization on multiple scales. Benchmarks are given leading to estimates of…

无序系统与神经网络 · 物理学 2009-11-07 Jerome Houdayer , Olivier C. Martin

An introduction to spin techniques in particle physics is given. Among the topics covered are: helicity formalism and its applications to the decay and scattering of spin-1/2 and spin-1 particles, techniques for evaluating helicity…

高能物理 - 唯象学 · 物理学 2009-09-25 Howard E. Haber

This review presents various aspects of a mean-field spin glass model known as the p-spin spherical spin glass model, which has raised a lot of interest in the study of spin glasses, and also for its possible links with a mean-field theory…

无序系统与神经网络 · 物理学 2008-02-03 A. Barrat

This paper surveys the recent attempts, both from the machine learning and operations research communities, at leveraging machine learning to solve combinatorial optimization problems. Given the hard nature of these problems,…

机器学习 · 计算机科学 2020-03-16 Yoshua Bengio , Andrea Lodi , Antoine Prouvost