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In many learning settings, it is beneficial to augment the main features with pairwise interactions. Such interaction models can be often enhanced by performing variable selection under the so-called strong hierarchy constraint: an…

Machine Learning · Statistics 2020-07-15 Hussein Hazimeh , Rahul Mazumder

Learning Ising or Potts models from data has become an important topic in statistical physics and computational biology, with applications to predictions of structural contacts in proteins and other areas of biological data analysis. The…

Biological Physics · Physics 2018-09-19 Chen-Yi Gao , Hai-Jun Zhou , Erik Aurell

We study two operational schemes for a coherent Ising machine based on an injection-locked laser network. These schemes gradually increase the pumping rate or the mutual coupling among the slave lasers. We numerically simulate the two…

Quantum Physics · Physics 2014-03-18 Kenta Takata , Yoshihisa Yamamoto

Constrained combinatorial optimization problems (CCOPs) are challenging to solve due to the exponential growth of the solution space. When tackled with Ising machines, constraints are typically enforced by the penalty function method, whose…

Statistical Mechanics · Physics 2025-10-31 Shunta Ide , Shuta Kikuchi , Shu Tanaka

We consider a capacitated job shop problem with order acceptance. This research is motivated by the management of a research and development project pipeline for a company in the agricultural industry whose success depends on regularly…

Optimization and Control · Mathematics 2024-12-02 Florian Linß , Mike Hewitt , Janis S. Neufeld , Udo Buscher

A robot needs multiple interaction modes to robustly collaborate with a human in complicated industrial tasks. We develop a Coexistence-and-Cooperation (CoCo) human-robot collaboration system. Coexistence mode enables the robot to work with…

Machine scheduling problems involving conflict jobs can be seen as a constrained version of the classical scheduling problem, in which some jobs are conflict in the sense that they cannot be proceeded simultaneously on different machines.…

Data Structures and Algorithms · Computer Science 2021-02-12 Minh Hoàng Hà , Dinh Quy Ta , Trung Thanh Nguyen

The problem of counting collisions or interactions is common in areas as computer graphics and scientific simulations. Since it is a major bottleneck in applications of these areas, a lot of research has been carried out on such subject,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-04 Matheus Henrique Junqueira Saldanha , Paulo Sérgio Lopes de Souza

We review several parallel tempering schemes and examine their main ingredients for accuracy and efficiency. The present study covers two selection methods of temperatures and several choices for the exchange of replicas, including a recent…

Statistical Mechanics · Physics 2015-06-16 A. Malakis , T. Papakonstantinou

We introduce a methodology for generating benchmark problem sets for Ising machines---devices designed to solve discrete optimization problems cast as Ising models. In our approach, linear systems of equations are cast as Ising cost…

Quantum Physics · Physics 2019-09-02 Itay Hen

In this paper, we consider the Constant-cost Orienteering Problem (COP) where a robot, constrained by a limited travel budget, aims at selecting a path with the largest reward in an aisle-graph. The aisle-graph consists of a set of loosely…

Data Structures and Algorithms · Computer Science 2019-09-17 Francesco Betti Sorbelli , Stefano Carpin , Federico Corò , Alfredo Navarra , Cristina M. Pinotti

It is an attractive hypothesis that the spatial structure of visual cortical architecture can be explained by the coordinated optimization of multiple visual cortical maps representing orientation preference (OP), ocular dominance (OD),…

Neurons and Cognition · Quantitative Biology 2015-06-03 Lars Reichl , Dominik Heide , Siegrid Löwel , Justin C. Crowley , Matthias Kaschube , Fred Wolf

Inspired by the developments in quantum computing, building domain-specific classical hardware to solve computationally hard problems has received increasing attention. Here, by introducing systematic sparsification techniques, we…

How complex is an Ising model? Usually, this is measured by the computational complexity of its ground state energy problem. Yet, this complexity measure only distinguishes between planar and non-planar interaction graphs, and thus fails to…

Statistical Mechanics · Physics 2025-05-28 Tobias Reinhart , Gemma De les Coves

Sparsity-constrained optimization underlies many problems in signal processing, statistics, and machine learning. State-of-the-art hard-thresholding (HT) algorithms rely on an appropriately selected continuous step-size parameter to ensure…

Machine Learning · Statistics 2026-05-13 Jin Zhu , Junxian Zhu , Zezhi Wang , Borui Tang , Hongmei Lin , Xueqin Wang

This work solves 3SAT, a classical NP-complete problem, on a CMOS-based Ising hardware chip with all-to-all connectivity. The paper addresses practical issues in going from algorithms to hardware. It considers several degrees of freedom in…

The exact solution of a two-dimensional (2D) Ising model with the next nearest interactions at zero magnetic field is derived. At first, the transfer matrices are analyzed in three representations, i.e., Clifford algebraic representation,…

Statistical Mechanics · Physics 2026-05-29 Zhidong Zhang

Robots that interact with humans must adapt to individual users' preferences to operate effectively in human-centered environments. An intuitive and effective technique to learn non-expert users' preferences is through rankings of robot…

Robotics · Computer Science 2026-03-11 Nathaniel Dennler , Zhonghao Shi , Yiran Tao , Andreea Bobu , Stefanos Nikolaidis , Maja Matarić

Analog Ising machines are dedicated hardware solvers designed to solve NP hard optimization problems. However, the global optimum is often not found as the system gets stuck in local minima. While several strategies exist to increase the…

Applied Physics · Physics 2026-04-03 Leen Mys , Guy Verschaffelt , Guy Van der Sande

This paper proposes a novel optimization framework for discrete phase shifts of a reconfigurable intelligent surface (RIS) using a coherent Ising machine (CIM). Unlike conventional methods based on iterative convex approximation or…

Information Theory · Computer Science 2026-04-01 Yuto Hama , Daisuke Kitayama , Kensuke Inaba , Toshimori Honjo , Hiroki Takesue , Naoki Ishikawa , Hiroyuki Takahashi