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Analog Ising machines (IMs) occupy an increasingly prominent area of computer architecture research, offering high-quality and low latency/energy solutions to intractable computing tasks. However, IMs have a fixed capacity, with little to…

Emerging Technologies · Computer Science 2026-03-03 Matthew X. Burns , Michael C. Huang

While the Ising model remains essential to understand physical phenomena, its natural connection to combinatorial reasoning makes it also one of the best models to probe complex systems in science and engineering. We bring a computational…

Computational Physics · Physics 2022-12-27 Shaan A. Nagy , Roger Paredes , Jeffrey M. Dudek , Leonardo Dueñas-Osorio , Moshe Y. Vardi

In combinatorial optimization, probabilistic Ising machines (PIMs) have gained significant attention for their acceleration of Monte Carlo sampling with the potential to reduce time-to-solution in finding approximate ground states. However,…

Materials Science · Physics 2025-06-18 Shuhan Yang , Andrea Grimaldi , Youwei Bao , Eleonora Raimondo , Jia Si , Giovanni Finocchio , Hyunsoo Yang

Ising annealer is a promising quantum-inspired computing architecture for combinatorial optimization problems. In this paper, we introduce an Ising annealer based on the Hamiltonian Monte Carlo, which updates the variables of all dimensions…

Quantum Physics · Physics 2025-01-15 Hao Wang , Zixuan Liu , Zhixin Xie , Langyu Li , Zibo Miao , Wei Cui , Yu Pan

Finding optimal pathways in chemical reaction networks is essential for elucidating and designing chemical processes, with significant applications such as synthesis planning and metabolic pathway analysis. Such a chemical pathway-finding…

Quantum Physics · Physics 2024-01-31 Yuta Mizuno , Tamiki Komatsuzaki

The recent emergence of novel computational devices, such as adiabatic quantum computers, CMOS annealers, and optical parametric oscillators, present new opportunities for hybrid-optimization algorithms that are hardware accelerated by…

Optimization and Control · Mathematics 2019-06-20 Carleton Coffrin , Harsha Nagarajan , Russell Bent

Ising machines, which are dynamical systems designed to operate in a parallel and iterative manner, have emerged as a new paradigm for solving combinatorial optimization problems. Despite computational advantages, the quality of solutions…

Statistical Mechanics · Physics 2026-01-30 Shu Zhou , K. Y. Michael Wong , Juntao Wang , David Shui Wing Hui , Daniel Ebler , Jie Sun

This work proposes a computing model to reduce the workload of CPU. It relies on the data intensive computation in memory, where the data reside, and effectively realizes an in-memory computing (IMC) platform. Each memory word, with…

Formal Languages and Automata Theory · Computer Science 2025-06-25 Subrata Paul , Sukanta Das , Biplab K Sikdar

Probabilistic computing with pbits is emerging as a computational paradigm for machine learning and for facing combinatorial optimization problems (COPs) with the so-called probabilistic Ising machines (PIMs). From a hardware point of view,…

Many hard combinatorial problems can be mapped onto Ising models, which replicate the behavior of classical spins. Recent advances in probabilistic computers are characterized by parallelization and the introduction of novel hardware…

Computational Physics · Physics 2025-11-10 Andrew Rockovich , Gregory Lafyatis , Daniel J. Gauthier

Inference algorithms based on evolving interactions between replicated solutions are introduced and analyzed on a prototypical NP-hard problem - the capacity of the binary Ising perceptron. The efficiency of the algorithm is examined…

Disordered Systems and Neural Networks · Physics 2015-06-15 Roberto C. Alamino , Juan P. Neirotti , David Saad

An introduction to the application of combinatorial optimization methods to ground state calculations of frustrated, disordered systems is given. We discuss the interface problem in the random bond Ising ferromagnet, the random field Ising…

Disordered Systems and Neural Networks · Physics 2009-10-30 H. Rieger

Ising machines -- special-purpose hardware for heuristically solving Ising optimization problems -- based on probabilistic bits (p-bits) have been established as a promising alternative to heuristic optimization algorithms run on…

The nearing end of Moore's Law has been driving the development of domain-specific hardware tailored to solve a special set of problems. Along these lines, probabilistic computing with inherently stochastic building blocks (p-bits) have…

Hardware Architecture · Computer Science 2022-11-23 Navid Anjum Aadit , Andrea Grimaldi , Giovanni Finocchio , Kerem Y. Camsari

For decades, advances in electronics were directly driven by the scaling of CMOS transistors according to Moore's law. However, both the CMOS scaling and the classical computer architecture are approaching fundamental and practical limits,…

Emerging Technologies · Computer Science 2017-07-21 Mohammed A. Zidan , YeonJoo Jeong , Jong Hong Shin , Chao Du , Zhengya Zhang , Wei D. Lu

Merging two sorted arrays is a prominent building block for sorting and other functions. Its efficient parallelization requires balancing the load among compute cores, minimizing the extra work brought about by parallelization, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-23 Oded Green , Saher Odeh , Yitzhak Birk

Large-scale floating-point matrix multiplication is a fundamental kernel in many scientific and engineering applications. Most existing work only focus on accelerating matrix multiplication on FPGA by adopting a linear systolic array. This…

Hardware Architecture · Computer Science 2018-03-13 Junzhong Shen , Yuran Qiao , You Huang , Mei Wen , Chunyuan Zhang

In this study, we address the challenge of low-rank model compression in the context of in-memory computing (IMC) architectures. Traditional pruning approaches, while effective in model size reduction, necessitate additional peripheral…

Hardware Architecture · Computer Science 2025-02-13 Kang Eun Jeon , Johnny Rhe , Jong Hwan Ko

As we approach the physical limits predicted by Moore's law, a variety of specialized hardware is emerging to tackle specialized tasks in different domains. Within combinatorial optimization, adiabatic quantum computers, CMOS annealers, and…

Data Structures and Algorithms · Computer Science 2020-12-01 Xiaoyuan Liu , Hayato Ushijima-Mwesigwa , Avradip Mandal , Sarvagya Upadhyay , Ilya Safro , Arnab Roy

This paper presents a new approach to solve linear and nonlinear model predictive control (MPC) problems that requires small memory footprint and throughput and is particularly suitable when the model and/or controller parameters change at…

Optimization and Control · Mathematics 2021-03-25 Nilay Saraf , Alberto Bemporad