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The strongest evidence for superiority of quantum annealing on spin glass problems has come from comparing simulated quantum annealing using quantum Monte Carlo (QMC) methods to simulated classical annealing [G. Santoro et al., Science 295,…

无序系统与神经网络 · 物理学 2015-08-19 Bettina Heim , Troels F. Rønnow , Sergei V. Isakov , Matthias Troyer

A new approach to combinatorial optimization based on systematic move-class deflation is proposed. The algorithm combines heuristics of genetic algorithms and simulated annealing, and is mainly entropy-driven. It is tested on two problems…

统计力学 · 物理学 2007-05-23 Reimer Kuehn , Yu-Cheng Lin , Gerhard Poeppel

In this article supervised learning problems are solved using soft rule ensembles. We first review the importance sampling learning ensembles (ISLE) approach that is useful for generating hard rules. The soft rules are then obtained with…

机器学习 · 统计学 2015-03-20 Deniz Akdemir , Nicolas Heslot

Many model selection algorithms rely on sparse dictionary learning to provide interpretable and physics-based governing equations. The optimization algorithms typically use a hard thresholding process to enforce sparse activations in the…

最优化与控制 · 数学 2025-04-30 Derek W. Jollie , Scott G. McCalla

Recently, purpose-built analog hardware that can efficiently minimize the Ising energy and thereby solve a variety of combinatorial optimization problems has been receiving widespread attention. In this work, we show how multidimensional,…

无序系统与神经网络 · 物理学 2026-04-02 Marvin Syed , Richard Zhipeng Wang , Natalia G. Berloff

This paper develops a new global optimisation method that applies to a family of criteria that are not entirely known. This family includes the criteria obtained from the class of posteriors that have nor-malising constants that are…

统计理论 · 数学 2019-07-16 R. Stoica , Madalina Deaconu , Anne Philippe , Lluis Hurtado

Many computer vision and medical imaging problems are faced with learning from large-scale datasets, with millions of observations and features. In this paper we propose a novel efficient learning scheme that tightens a sparsity constraint…

机器学习 · 统计学 2017-02-07 Adrian Barbu , Yiyuan She , Liangjing Ding , Gary Gramajo

We propose a method to reduce the relaxation time towards equilibrium in stochastic sampling of complex energy landscapes in statistical systems with discrete degrees of freedom by generalizing the platform previously developed for…

统计力学 · 物理学 2015-03-17 Zsolt Bertalan , Hidetoshi Nishimori , Henri Orland

Quantum annealing has emerged as a powerful platform for simulating and optimizing classical and quantum Ising models. Quantum annealers, like other quantum and/or analog computing devices, are susceptible to nonidealities including…

量子物理 · 物理学 2024-10-15 Kevin Chern , Kelly Boothby , Jack Raymond , Pau Farré , Andrew D. King

Adaptive simulated annealing (ASA) is a global optimization algorithm based on an associated proof that the parameter space can be sampled much more efficiently than by using other previous simulated annealing algorithms. The author's ASA…

数学软件 · 计算机科学 2007-05-23 Lester Ingber

Ising machines are emerging as a new technology for solving various classes of computationally hard problems of practical importance, yet their limits on structured SAT workloads, representative of numerous real-world applications, remain…

Constraint problems can be trivially solved in parallel by exploring different branches of the search tree concurrently. Previous approaches have focused on implementing this functionality in the solver, more or less transparently to the…

人工智能 · 计算机科学 2010-08-26 Lars Kotthoff , Neil C. A. Moore

We study the coarsening dynamics of the three-dimensional random field Ising model using Monte Carlo numerical simulations. We test the dynamic scaling and super-scaling properties of global and local two-time observables. We treat in…

无序系统与神经网络 · 物理学 2009-08-12 Camille Aron , Claudio Chamon , Leticia F. Cugliandolo , Marco Picco

Quantum annealers are commercial devices aiming to solve very hard computational problems named spin glasses. Just like in metallurgic annealing one slowly cools a ferrous metal, quantum annealers seek good solutions by slowly removing the…

无序系统与神经网络 · 物理学 2025-01-22 Massimo Bernaschi , Isidoro González-Adalid Pemartín , Víctor Martín-Mayor , Giorgio Parisi

Quantum annealing is analogous to simulated annealing with a tunneling mechanism substituting for thermal activation. Its performance has been tested in numerical simulation with mixed conclusions. There is a class of optimization problems…

量子物理 · 物理学 2010-07-19 Thomas Jorg , Florent Krzakala , Jorge Kurchan , A. C. Maggs

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

A disordered spin glass model where both static and dynamical properties depend on macroscopic magnetizations is presented. These magnetizations interact via random couplings and, therefore, the typical quenched realization of the system…

无序系统与神经网络 · 物理学 2009-10-31 M. Pasquini , M. Serva

Population annealing is a powerful sequential Monte Carlo algorithm designed to study the equilibrium behavior of general systems in statistical physics through massive parallelism. In addition to the remarkable scaling capabilities of the…

统计力学 · 物理学 2022-10-19 Paul L. Ebert , Denis Gessert , Martin Weigel

We review here the recent success in quantum annealing, i.e., optimization of the cost or energy functions of complex systems utilizing quantum fluctuations. The concept is introduced in successive steps through the studies of mapping of…

量子物理 · 物理学 2010-09-21 Arnab Das , Bikas K. Chakrabarti

The Ising model with nearest-neighbor interactions on a two-dimensional (2D) square lattice is one of the simplest models for studying ferro-magnetic to para-magnetic transitions. Extensive results are available in the literature for this…

计算物理 · 物理学 2024-09-18 C. Marin , A. Fontana , V. Bellani , F. Pederiva , A. Quaranta , F. Rossella , A. Salamon , G. Salina