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Quantum annealing is a promising algorithm for solving combinatorial optimization problems. However, various hardware restrictions significantly impede its efficient performance. Size-reduction methods provide an effective approach for…

Statistical Mechanics · Physics 2025-07-22 Tomohiro Hattori , Hirotaka Irie , Tadashi Kadowaki , Shu Tanaka

Deep neural networks are extremely successful in various applications, however they exhibit high computational demands and energy consumption. This is exacerbated by stuttering technology scaling, prompting the need for novel approaches to…

Machine Learning · Computer Science 2024-06-17 Hendrik Borras , Bernhard Klein , Holger Fröning

We present a theoretical analysis of Maximum a Posteriori (MAP) sequence estimation for binary symmetric hidden Markov processes. We reduce the MAP estimation to the energy minimization of an appropriately defined Ising spin model, and…

Artificial Intelligence · Computer Science 2009-06-11 Armen Allahverdyan , Aram Galstyan

Coherent Ising Machine (CIM) is a network of optical parametric oscillators that can solve large-scale combinatorial optimisation problems by finding the ground state of an Ising Hamiltonian. As a practical application of CIM, Aonishi et…

Recent strides in the development of diffusion models, exemplified by advancements such as Stable Diffusion, have underscored their remarkable prowess in generating visually compelling images. However, the imperative of achieving a seamless…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Xiefan Guo , Jinlin Liu , Miaomiao Cui , Jiankai Li , Hongyu Yang , Di Huang

Quantum annealing aims to solve combinatorial optimization problems mapped on to Ising interactions between quantum spins. A critical factor that limits the success of a quantum annealer is its sensitivity to noise, and intensive research…

Quantum Physics · Physics 2019-01-29 Shruti Puri , Christian Kraglund Andersen , Arne L. Grimsmo , Alexandre Blais

Computation with the Ising model is central to future computing technologies like quantum annealing, adiabatic quantum computing, and thermodynamic classical computing. Traditionally, computed values have been equated with ground states.…

Disordered Systems and Neural Networks · Physics 2025-11-04 Andrew G. Moore

Ising machines (IMs) are specialized devices designed to efficiently solve combinatorial optimization problems. Among such problems, Boolean Satisfiability (SAT) is particularly relevant in industrial applications. To solve SAT problems…

Statistical Mechanics · Physics 2025-08-01 Robbe De Prins , Guy Van der Sande , Peter Bienstman , Thomas Van Vaerenbergh

The Ising model provides a natural mapping for many computationally hard combinatorial optimization problems (COPs). Consequently, dynamical system-inspired computing models and hardware platforms that minimize the Ising Hamiltonian, have…

Dynamical Systems · Mathematics 2022-11-11 Mohammad Khairul Bashar , Nikhil Shukla

Non-deterministic polynomial-time (NP) problems are ubiquitous in almost every field of study. Recently, all-optical approaches have been explored for solving classic NP problems based on the spin-glass Ising Hamiltonian. However, obtaining…

Disordered Systems and Neural Networks · Physics 2025-12-15 Louis Delloye , Gianni Jacucci , Raj Pandya , Davide Pierangeli , Claudio Conti , Sylvain Gigan

The versatility and wide-ranging applicability of the Ising model, originally introduced to study phase transitions in magnetic materials, have made it a cornerstone in statistical physics and a valuable tool for evaluating the performance…

Hardware Architecture · Computer Science 2024-05-03 Dirk Van Essendelft , Hayl Almolyki , Wei Shi , Terry Jordan , Mei-Yu Wang , Wissam A. Saidi

Photonic computing, with potentials of high parallelism, low latency and high energy efficiency, have gained progressive interest at the forefront of neural network (NN) accelerators. However, most existing photonic computing accelerators…

Optics · Physics 2024-04-16 Ziyu Zhan , Hao Wang , Qiang Liu , Xing Fu

Many combinatorial optimization problems (COPs) are naturally expressed using variables that take on more than two discrete values. To solve such problems using Ising machines (IMs) - specialized analog or digital devices designed to solve…

Statistical Mechanics · Physics 2025-08-06 Robbe De Prins , Guy Van der Sande , Peter Bienstman , Thomas Van Vaerenbergh

Spiking neural networks (SNNs) have emerged as energy-efficient neural networks with temporal information. SNNs have shown a superior efficiency on neuromorphic devices, but the devices are susceptible to noise, which hinders them from…

Neural and Evolutionary Computing · Computer Science 2021-04-23 Seongsik Park , Dongjin Lee , Sungroh Yoon

Analog computing hardwares, such as Processing-in-memory (PIM) accelerators, have gradually received more attention for accelerating the neural network computations. However, PIM accelerators often suffer from intrinsic noise in the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Li-Huang Tsai , Shih-Chieh Chang , Yu-Ting Chen , Jia-Yu Pan , Wei Wei , Da-Cheng Juan

We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show…

Adaptation and Self-Organizing Systems · Physics 2020-04-01 Jonathan D. Touboul , Charlotte Piette , Laurent Venance , G. Bard Ermentrout

The biggest challenge that quantum computing and quantum machine learning are currently facing is the presence of noise in quantum devices. As a result, big efforts have been put into correcting or mitigating the induced errors. But, can…

Quantum Physics · Physics 2023-06-09 L. Domingo , G. Carlo , F. Borondo

Multiple-Input-Multiple-Output~(MIMO) signal detection is central to every state-of-the-art communication system, and enhancements in error performance and computation complexity of MIMO detection would significantly enhance data rate and…

Networking and Internet Architecture · Computer Science 2024-09-06 Abhishek Kumar Singh , Ari Kapelyan , Davide Venturelli , Kyle Jamieson

The central object of this PhD thesis is known under different names in the fields of computer science and statistical mechanics. In computer science, it is called the Maximum Cut problem, one of the famous twenty-one Karp's original…

Machine Learning · Computer Science 2022-08-31 Mikhail Krechetov

Reconfigurable intelligent surface (RIS) has been anticipated to be a novel cost-effective technology to improve the performance of future wireless systems. In this paper, we investigate a practical RIS-aided multiple-input-multiple-output…

Information Theory · Computer Science 2023-03-23 Jintao Wang , Shiqi Gong , Qingqing Wu , Shaodan Ma