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We use Quantum Imaginary Time Evolution (QITE) to solve polynomial unconstrained binary optimization (PUBO) problems. We show that a linear Ansatz yields good results for a wide range of PUBO problems, often outperforming standard classical…

量子物理 · 物理学 2023-12-29 Nora M. Bauer , Rizwanul Alam , James Ostrowski , George Siopsis

Probabilistic programming systems enable users to encode model structure and naturally reason about uncertainties, which can be leveraged towards improved Bayesian optimization (BO) methods. Here we present a probabilistic program embedding…

人工智能 · 计算机科学 2019-02-06 Alexander Lavin

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…

最优化与控制 · 数学 2025-11-07 Yuki Minamoto , Yuya Sakamoto

For a wide range of applications the structure of systems like Neural Networks or complex simulations, is unknown and approximation is costly or even impossible. Black-box optimization seeks to find optimal (hyper-) parameters for these…

机器学习 · 计算机科学 2023-09-06 Janina Schreiber , Damar Wicaksono , Michael Hecht

The ultimate goal of any sparse coding method is to accurately recover from a few noisy linear measurements, an unknown sparse vector. Unfortunately, this estimation problem is NP-hard in general, and it is therefore always approached with…

Combinatorial optimization problems are computationally hard in general, but they are ubiquitous in our modern life. A coherent Ising machine (CIM) based on a multiple-pulse degenerate optical parametric oscillator (DOPO) is an alternative…

We discuss a unified approach to stochastic optimization of pseudo-Boolean objective functions based on particle methods, including the cross-entropy method and simulated annealing as special cases. We point out the need for auxiliary…

统计计算 · 统计学 2012-04-09 Christian Schäfer

We present a method to formulate the unit commitment problem in energy production as quadratic unconstrained binary optimization (QUBO) problem, which can be solved by classical algorithms and quantum computers. We suggest a first approach…

量子物理 · 物理学 2023-01-04 M. C. Braun , T. Decker , N. Hegemann , S. F. Kerstan , F. Lorenz

The bin packing is a well-known NP-Hard problem in the domain of artificial intelligence, posing significant challenges in finding efficient solutions. Conversely, recent advancements in quantum technologies have shown promising potential…

量子物理 · 物理学 2024-01-17 Lorenzo Cellini , Antonio Macaluso , Michele Lombardi

Optical computing often employs tailor-made hardware to implement specific algorithms, trading generality for improved performance in key aspects like speed and power efficiency. An important computing approach that is still missing its…

In this article, we proposed a programmable 16-channel photonic solver for quadratic unconstrained binary optimization (QUBO) problems. The solver is based on a hybrid optoelectronic scheme including a photonic chip and the corresponding…

新兴技术 · 计算机科学 2025-04-08 Jiayi Ouyang , Shengping Liu , Ziyue Yang , Wei Wang , Xue Feng , Yongzhuo Li , Yidong Huang

Quadratic Unconstrained Binary Optimization (QUBO) is recognized as a unifying framework for modeling a wide range of problems. Problems can be solved with commercial solvers customized for solving QUBO and since QUBO have degree two, it is…

最优化与控制 · 数学 2021-07-27 Amit Verma , Mark Lewis , Gary Kochenberger

High-energy physics is replete with hard computational problems and it is one of the areas where quantum computing could be used to speed up calculations. We present an implementation of likelihood-based regularized unfolding on a quantum…

数据分析、统计与概率 · 物理学 2020-10-09 Kyle Cormier , Riccardo Di Sipio , Peter Wittek

Black-box optimization has potential in numerous applications such as hyperparameter optimization in machine learning and optimization in design of experiments. Ising machines are useful for binary optimization problems because variables…

机器学习 · 计算机科学 2022-09-05 Yuya Seki , Ryo Tamura , Shu Tanaka

Ising machines (IM) are physics-inspired alternatives to von Neumann architectures for solving hard optimization tasks. By mapping binary variables to coupled Ising spins, IMs can naturally solve unconstrained combinatorial optimization…

新兴技术 · 计算机科学 2025-08-01 Corentin Delacour

Combinatorial optimization problems play a central role in computer science with many real world applications. A number of relevant problems remain computationally difficult to solve as they lie in the NP-hard complexity class. We present a…

量子物理 · 物理学 2026-05-11 Kapil Goswami , Peter Schmelcher

Many fundamental problems in data mining can be reduced to one or more NP-hard combinatorial optimization problems. Recent advances in novel technologies such as quantum and quantum-inspired hardware promise a substantial speedup for…

机器学习 · 计算机科学 2022-01-10 Osman Asif Malik , Hayato Ushijima-Mwesigwa , Arnab Roy , Avradip Mandal , Indradeep Ghosh

Today, hardware constraints are an important limitation on quantum adiabatic optimization algorithms. Firstly, computational problems must be formulated as quadratic unconstrained binary optimization (QUBO) in the presence of noisy coupling…

量子物理 · 物理学 2018-12-06 Andrew Lucas

Operation management of nuclear power plants consists of several computationally hard problems. Searching for an in-core fuel loading pattern is among them. The main challenge of this combinatorial optimization problem is the exponential…

Quadratic unconstrained binary optimization (QUBO) solvers can be applied to design an optimal structure to avoid resonance. QUBO algorithms that work on a classical or quantum device have succeeded in some industrial applications. However,…

介观与纳米尺度物理 · 物理学 2022-09-29 Tadayoshi Matsumori , Masato Taki , Tadashi Kadowaki