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We show that Oscillator Ising Machines (OIMs) are prime candidates for use as neuromorphic machine learning processors with Equilibrium Propagation (EP) based on-chip learning. The inherent energy gradient descent dynamics of OIMs, combined…

无序系统与神经网络 · 物理学 2025-08-19 Alex Gower

Oscillator Ising machines (OIMs) are networks of coupled oscillators that seek the minimum energy state of an Ising model. Since many NP-hard problems are equivalent to the minimization of an Ising Hamiltonian, OIMs have emerged as a…

最优化与控制 · 数学 2026-02-20 Ahmed Allibhoy , Arthur N. Montanari , Fabio Pasqualetti , Adilson E. Motter

Physical systems that naturally perform energy descent offer a direct route to accelerating machine learning. Oscillator Ising Machines (OIMs) exemplify this idea: their GHz-frequency dynamics mirror both the optimization of energy-based…

机器学习 · 计算机科学 2025-11-18 Alex Gower

The rich non-linear dynamics of the coupled oscillators (under second harmonic injection) can be leveraged to solve computationally hard problems in combinatorial optimization such as finding the ground state of the Ising Hamiltonian. While…

最优化与控制 · 数学 2023-10-17 Mohammad Khairul Bashar , Zongli Lin , Nikhil Shukla

Networks of optical oscillators simulating coupled Ising spins have been recently proposed as a heuristic platform to solve hard optimization problems. These networks, called coherent Ising machines (CIMs), exploit the fact that the…

新兴技术 · 计算机科学 2021-11-15 Marcello Calvanese Strinati , Davide Pierangeli , Claudio Conti

Nonlinear dynamical systems such as coupled oscillators are being actively investigated as Ising machines for solving computationally hard problems in combinatorial optimization. Prior works have established the equivalence between the…

动力系统 · 数学 2023-01-19 Mohammad Khairul Bashar , Zongli Lin , Nikhil Shukla

Ising machines exploit the natural dynamics of physical systems to minimize the Ising Hamiltonian and thereby address computationally hard combinatorial optimization problems. This paradigm has motivated a range of physical implementations.…

计算物理 · 物理学 2026-03-10 Abir Hasan , Nikhil Shukla

A coherent Ising machine (CIM) is a network of optical parametric oscillators (OPOs), in which the "strongest" collective mode of oscillation at well above threshold corresponds to an optimum solution of a given Ising problem. When a pump…

量子物理 · 物理学 2020-10-28 Y. Yamamoto , T. Leleu , S. Ganguli , H. Mabuchi

Oscillator-based Ising/Potts machines (OIMs/OPMs) are promising hardware accelerators for NP-hard combinatorial optimization problems using coupled oscillator synchronization dynamics. Analog OIMs/OPMs offer speed advantages but have…

硬件体系结构 · 计算机科学 2026-04-16 Yilmaz Ege Gonul , Baris Taskin

A non-equilibrium open-dissipative neural network, such as a coherent Ising machine based on mutually coupled optical parametric oscillators, has been proposed and demonstrated as a novel computing machine for hard combinatorial…

Oscillator Ising machines (OIMs) represent an exemplar case of using physics-inspired non-linear dynamical systems to solve computationally challenging combinatorial optimization problems (COPs). The computational performance of such…

机器学习 · 计算机科学 2025-04-15 E. M. H. E. B. Ekanayake , N. Shukla

The coherent Ising machine (CIM) is a quantum-inspired computing platform that leverages optical parametric oscillation dynamics to solve combinatorial optimization problems by searching for the ground state of an Ising Hamiltonian.…

量子物理 · 物理学 2025-09-18 Yan Chen Jiang , Lu Ma , Chuan Wang , Tie Jun Wang

We present a new way to make Ising machines, i.e., using networks of coupled self-sustaining nonlinear oscillators. Our scheme is theoretically rooted in a novel result that establishes that the phase dynamics of coupled oscillator systems,…

新兴技术 · 计算机科学 2019-03-19 Tianshi Wang , Jaijeet Roychowdhury

Finding the ground states of the Ising Hamiltonian [1] maps to various combinatorial optimization problems in biology, medicine, wireless communications, artificial intelligence, and social network. So far no efficient classical and quantum…

量子物理 · 物理学 2014-10-30 Alireza Marandi , Zhe Wang , Kenta Takata , Robert L. Byer , Yoshihisa Yamamoto

Ising machines are purported to be better at solving large-scale combinatorial optimisation problems better than conventional von Neumann computers. However, these Ising machines are widely believed to be heuristics, whose promise is…

量子物理 · 物理学 2023-12-08 Sayantan Pramanik , Sourav Chatterjee , Harshkumar Oza

Hopfield networks are a variant of associative memory that recall information stored in the couplings of an Ising model. Stored memories are fixed points for the network dynamics that correspond to energetic minima of the spin state. We…

量子物理 · 物理学 2014-12-15 Hadayat Seddiqi , Travis S. Humble

Growing demand for high-speed Ising-computing-specific hardware has prompted a need for determining how the accuracy depends on a hardware implementation with physically limited resources. For instance, in digital hardware such as…

统计力学 · 物理学 2021-10-07 Ryuta Sasaki , Toru Aonishi

The coherent Ising machine (CIM) enables efficient sampling of low-lying energy states of the Ising Hamiltonian with all-to-all connectivity by encoding the spins in the amplitudes of pulsed modes in an optical parametric oscillator (OPO).…

量子物理 · 物理学 2021-03-22 Egor S. Tiunov , Alexander E. Ulanov , A. I. Lvovsky

Oscillator Ising Machines (OIMs) and probabilistic bit (p-bit)-based computing platforms have emerged as promising paradigms for tackling complex combinatorial optimization problems. Although traditionally viewed as distinct approaches,…

计算物理 · 物理学 2026-01-26 E. M. Hasantha Ekanayake , Nikhat Khan , Nikhil Shukla

We propose a data-driven heuristic for NP-hard Ising and Max-Cut optimization that learns the update rule of an iterative dynamical system. The method learns a shared, node-wise update rule that maps local interaction fields to spin…

机器学习 · 计算机科学 2026-02-03 Sam Reifenstein , Timothee Leleu
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