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Many combinatorial optimization problems can be reformulated as finding the ground state of the Ising model. Existing Ising solvers are mostly inspired by simulated annealing. Although annealing techniques offer scalability, they lack…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-11 Debraj Banerjee , Santanu Mahapatra , Kunal Narayan Chaudhury

We introduce kernel-QA, a black-box optimization (BBO) method that constructs surrogate models analytically using low-order polynomial kernels within a quadratic unconstrained binary optimization (QUBO) framework, enabling efficient…

Optimization and Control · Mathematics 2025-11-07 Yuki Minamoto , Yuya Sakamoto

In black-box combinatorial optimization, objective evaluations are often expensive, so high quality solutions must be found under a limited budget. Factorization machine with quantum annealing (FMQA) builds a quadratic surrogate model from…

Machine Learning · Computer Science 2026-02-11 Tetsuro Abe , Masashi Yamashita , Shu Tanaka

A black-box optimization algorithm such as Bayesian optimization finds extremum of an unknown function by alternating inference of the underlying function and optimization of an acquisition function. In a high-dimensional space, such…

Quantum Physics · Physics 2021-05-03 Syun Izawa , Koki Kitai , Shu Tanaka , Ryo Tamura , Koji Tsuda

Ising machines are dedicated hardware solvers of NP-hard optimization problems. However, they do not always find the most optimal solution. The probability of finding this optimal solution depends on the problem at hand. Using continuation…

Disordered Systems and Neural Networks · Physics 2024-12-10 Jacob Lamers , Guy Verschaffelt , Guy Van der Sande

Recent hardware advances in quantum and quantum-inspired annealers promise substantial speedup for solving NP-hard combinatorial optimization problems compared to general-purpose computers. These special-purpose hardware are built for…

Quantum Physics · Physics 2020-01-06 Avradip Mandal , Arnab Roy , Sarvagya Upadhyay , Hayato Ushijima-Mwesigwa

The encoding of solutions in black-box optimization is a delicate, handcrafted balance between expressiveness and domain knowledge -- between exploring a wide variety of solutions, and ensuring that those solutions are useful. Our main…

Neural and Evolutionary Computing · Computer Science 2020-07-07 Adam Gaier , Alexander Asteroth , Jean-Baptiste Mouret

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

We propose an algorithm inspired by optical coherent Ising machines to solve the problem of polynomial unconstrained binary optimization (PUBO). We benchmark the proposed algorithm against existing PUBO algorithms on the extended…

Black-box optimization methods play an important role in many fields of computational simulation. In particular, such methods are often used in the design and modelling of biological systems, including proteins and their complexes with…

Biomolecules · Quantitative Biology 2023-02-08 Dmitry Morozov , Artem Melnikov , Vishal Shete , Michael Perelshtein

To enhance the performance of quantum annealing machines, several methods have been proposed to reduce the number of spins by fixing spin values through preprocessing. We proposed a hybrid optimization method that combines a simulated…

Statistical Mechanics · Physics 2025-07-22 Shuta Kikuchi , Nozomu Togawa , Shu Tanaka

This paper presents an initialization method that can approximate a given approximate Ising model with a high degree of accuracy using a factorization machine (FM), a machine learning model. The construction of an Ising models using an FM…

Machine Learning · Computer Science 2025-07-03 Yuya Seki , Hyakka Nakada , Shu Tanaka

Ising machines, including quantum annealing machines, are promising next-generation computers for combinatorial optimization problems. However, due to hardware limitations, most Ising-type hardware can only solve objective functions…

Statistical Mechanics · Physics 2025-10-29 Kazuki Ikeuchi , Yoshiki Matsuda , Shu Tanaka

In this paper, we report new results on a novel Ising machine technology for solving combinatorial optimization problems using networks of coupled self-sustaining oscillators. Specifically, we present several working hardware prototypes…

Emerging Technologies · Computer Science 2019-04-24 Tianshi Wang , Leon Wu , Jaijeet Roychowdhury

Dynamical Ising machines achieve accelerated solving of complex combinatorial optimization problems by remapping the convergence to the ground state of the classical spin networks to the evolution of specially constructed continuous…

Emerging Technologies · Computer Science 2025-12-30 Aditya Shukla , Mikhail Erementchouk , Pinaki Mazumder

Conceptual process design is a crucial aspect of chemical engineering that involves process synthesis. Mixed-integer nonlinear programming is a powerful framework for modeling such design problems by combining discrete and continuous…

Optimization and Control · Mathematics 2026-03-23 Yirang Park , David E. Bernal Neira

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

The general-purpose programmable photonic processors offer a scalable and reconfigurable solution for a wide range of RF and optical applications. Therefore, implementing photonic Ising machines using programmable processors leverages the…

This study targets the mixed-integer black-box optimization (MI-BBO) problem where continuous and integer variables should be optimized simultaneously. The CMA-ES, our focus in this study, is a population-based stochastic search method that…

Neural and Evolutionary Computing · Computer Science 2024-01-12 Ryoki Hamano , Shota Saito , Masahiro Nomura , Shinichi Shirakawa

When gradient-based methods are impractical, black-box optimization (BBO) provides a valuable alternative. However, BBO often struggles with high-dimensional problems and limited trial budgets. In this work, we propose a novel approach…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Riccardo Busetto , Manas Mejari , Marco Forgione , Alberto Bemporad , Dario Piga