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Recently, the coherent Ising machine (CIM) as a degenerate optical parametric oscillator (DOPO) network has been researched to solve Ising combinatorial optimization problems. We formulate a theoretical model for the CIM with discrete-time…

Quantum Physics · Physics 2017-11-22 Atsushi Yamamura , Kazuyuki Aihara , Yoshihisa Yamamoto

The growing challenges of scaling digital computing motivate new approaches, especially through the dynamical evolution of physical systems that mimic neural networks and combinatorial optimization problems. While light is a hyper efficient…

A linear-time algorithm is presented for the construction of the Gibbs distribution of configurations in the Ising model, on a quantum computer. The algorithm is designed so that each run provides one configuration with a quantum…

Quantum Physics · Physics 2009-10-30 Daniel A. Lidar , Ofer Biham

One of the main bottlenecks in solving combinatorial optimization problems with quantum annealers is the qubit connectivity in the hardware. A possible solution for larger connectivty is minor embedding. This techniques makes the…

Quantum Physics · Physics 2024-05-24 Michele Cattelan , Jemma Bennett , Sheir Yarkoni , Wolfgang Lechner

We introduce a universal theory of phase auto-oscillators driven by a bi harmonic signal (having frequency components close to single and double of the free-running oscillator frequency) with noise. With it, we show how deterministic phase…

The quantum theory of coherent Ising machines, based on degenerate optical parametric oscillators and measurement-feedback circuits, is developed using the positive $P({\alpha},{\beta})$ representation of the density operator and the master…

Quantum Physics · Physics 2017-11-22 Taime Shoji , Kazuyuki Aihara , Yoshihisa Yamamoto

Various combinatorial optimization NP-hard problems can be reduced to finding the minimizer of an Ising model, which is a discrete mathematical model. It is an intellectual challenge to develop some mathematical tools or algorithms for…

Optimization and Control · Mathematics 2023-12-01 Bowen Liu , Kaizhi Wang , Dongmei Xiao , Zhan Yu

Robust implementable output regulator design approaches are studied for general linear continuous-time \mbox{systems} with periodically sampled measurements, consisting of both the regulation errors and extra measurements that are generally…

Optimization and Control · Mathematics 2021-03-01 Lei Wang , Lorenzo Marconi , Christopher M. Kellett

Reservoir computing is a new, powerful and flexible machine learning technique that is easily implemented in hardware. Recently, by using a time-multiplexed architecture, hardware reservoir computers have reached performance comparable to…

Emerging Technologies · Computer Science 2013-11-07 Anteo Smerieri , François Duport , Yvan Paquot , Benjamin Schrauwen , Marc Haelterman , Serge Massar

Many real-time systems require the optimization of discrete variables. Black-box optimization (BBO) algorithms and multi-armed bandit (MAB) algorithms perform optimization by repeatedly taking actions and observing the corresponding instant…

Artificial Intelligence · Computer Science 2025-06-23 Tomoya Kashimata , Yohei Hamakawa , Masaya Yamasaki , Kosuke Tatsumura

As Moore's Law loses momentum, improving size, performance, and efficiency of processors has become increasingly challenging, ending the era of predictable improvements in hardware performance. Meanwhile, the widespread incorporation of…

Signal Processing · Electrical Eng. & Systems 2023-12-14 Soheil Hor , Amin Arbabian

Parallel-in-time algorithms have been successfully employed for reducing time-to-solution of a variety of partial differential equations, especially for diffusive (parabolic-type) equations. A major failing of parallel-in-time approaches to…

Numerical Analysis · Mathematics 2019-08-28 Hans De Sterck , Stephanie Friedhoff , Alexander J. M. Howse , Scott P. MacLachlan

Characterizing noisy quantum devices requires methods for learning the underlying quantum Hamiltonian which governs their dynamics. Often, such methods compare measurements to simulations of candidate Hamiltonians, a task which requires…

Quantum Physics · Physics 2021-10-13 Assaf Zubida , Elad Yitzhaki , Netanel H. Lindner , Eyal Bairey

The Ising model is a simple statistical model for ferromagnetism. There are analytic solutions for low dimensions and very efficient Monte Carlo methods, such as cluster algorithms, for simulating this model in special cases. However most…

Computational Physics · Physics 2021-08-25 Johann Ostmeyer , Evan Berkowitz , Thomas Luu , Marcus Petschlies , Ferenc Pittler

Evaluating the adversarial robustness of machine learning models using gradient-based attacks is challenging. In this work, we show that hyperparameter optimization can improve fast minimum-norm attacks by automating the selection of the…

Machine Learning · Computer Science 2023-10-13 Giuseppe Floris , Raffaele Mura , Luca Scionis , Giorgio Piras , Maura Pintor , Ambra Demontis , Battista Biggio

Quantum critical systems offer promising advancements in quantum sensing and metrology, yet face limitations like critical slowing down and a restricted criticality-enhanced region. Here, we introduce a critical sensing scheme that mitigate…

Ising machines have emerged as accelerators for combinatorial optimization. To enable practical deployment, this work aims to reduce time-to-solution by addressing three challenges: (1) hardware topology, (2) spin selection and update…

Machine Learning · Computer Science 2026-01-30 Seungki Hong , Kyeongwon Jeong , Taekwang Jang

Machine learning algorithms have been used widely in various applications and areas. To fit a machine learning model into different problems, its hyper-parameters must be tuned. Selecting the best hyper-parameter configuration for machine…

Machine Learning · Computer Science 2022-10-06 Li Yang , Abdallah Shami

A classical approach to design controllers for interconnected systems is to assume that the different subsystems operate at different time scales, then design simpler controllers within each time scale, and finally certify stability of the…

Optimization and Control · Mathematics 2021-11-29 Miguel Picallo , Saverio Bolognani , Florian Dörfler

Asynchronous Bayesian optimization is a recently implemented technique that allows for parallel operation of experimental systems and disjointed workflows. Contrasting with serial Bayesian optimization which individually selects experiments…

Machine Learning · Computer Science 2024-10-23 Amanda A. Volk , Kristofer G. Reyes , Jeffrey G. Ethier , Luke A. Baldwin
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