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We propose a new metaheuristic training scheme that combines Stochastic Gradient Descent (SGD) and Discrete Optimization in an unconventional way. Our idea is to define a discrete neighborhood of the current SGD point containing a number of…

机器学习 · 计算机科学 2019-06-05 Matteo Fischetti , Matteo Stringher

We propose Quantum Enhanced Simulated Annealing (QESA), a novel hybrid optimization framework that integrates quantum annealing (QA) into simulated annealing (SA) to tackle continuous optimization problems. While QA has shown promise in…

量子物理 · 物理学 2025-04-04 Hristo N. Djidjev

The demand for classical-quantum hybrid algorithms to solve large-scale combinatorial optimization problems using quantum annealing (QA) has increased. One approach involves obtaining an approximate solution using classical algorithms and…

量子物理 · 物理学 2024-11-12 Taisei Takabayashi , Masayuki Ohzeki

We present a classical algorithm to find approximate solutions to instances of quadratic unconstrained binary optimisation. The algorithm can be seen as an analogue of quantum annealing under the restriction of a product state space, where…

量子物理 · 物理学 2023-02-14 Joseph Bowles , Alexandre Dauphin , Patrick Huembeli , José Martinez , Antonio Acín

We introduce a novel method for non-convex optimization, called Swarm-based Simulated Annealing (SSA), which is at the interface between the swarm-based gradient-descent (SBGD) [J. Lu et. al., ArXiv:2211.17157; E.Tadmor and A. Zenginoglu,…

最优化与控制 · 数学 2024-09-04 Zhiyan Ding , Martin Guerra , Qin Li , Eitan Tadmor

Parallel Quantum Annealing is a technique to solve multiple optimization problems simultaneously. Parallel quantum annealing aims to optimize the utilization of available qubits on a quantum topology by addressing multiple independent…

量子物理 · 物理学 2024-03-12 Arit Kumar Bishwas , Anuraj Som , Saurabh Choudhary

Bayesian optimization involves "inner optimization" over a new-data acquisition criterion which is non-convex/highly multi-modal, may be non-differentiable, or may otherwise thwart local numerical optimizers. In such cases it is common to…

统计计算 · 统计学 2022-05-23 Robert B. Gramacy , Annie Sauer , Nathan Wycoff

Bayesian optimization is an effective method to efficiently optimize unknown objective functions with high evaluation costs. Traditional Bayesian optimization algorithms select one point per iteration for single objective function, whereas…

机器学习 · 统计学 2019-05-08 Takashi Wada , Hideitsu Hino

Quantum annealing is a computational paradigm in which optimisation problems are mapped onto the energy landscape of an interacting quantum system and explored through its dynamical evolution. By continuously transforming a simple initial…

量子物理 · 物理学 2026-05-11 Steven Abel , Andrei Constantin , Luca A. Nutricati

In many real-world scenarios, decision makers seek to efficiently optimize multiple competing objectives in a sample-efficient fashion. Multi-objective Bayesian optimization (BO) is a common approach, but many of the best-performing…

机器学习 · 统计学 2020-11-12 Samuel Daulton , Maximilian Balandat , Eytan Bakshy

We consider the problem of asynchronous stochastic optimization, where an optimization algorithm makes updates based on stale stochastic gradients of the objective that are subject to an arbitrary (possibly adversarial) sequence of delays.…

最优化与控制 · 数学 2025-06-23 Amit Attia , Ofir Gaash , Tomer Koren

We empirically evaluate a stochastic annealing strategy for Bayesian posterior optimization with variational inference. Variational inference is a deterministic approach to approximate posterior inference in Bayesian models in which a…

机器学习 · 统计学 2015-05-26 San Gultekin , Aonan Zhang , John Paisley

Bayesian optimization is a broadly applied methodology to optimize the expensive black-box function. Despite its success, it still faces the challenge from the high-dimensional search space. To alleviate this problem, we propose a novel…

机器学习 · 计算机科学 2020-10-20 Jingfan Chen , Guanghui Zhu , Chunfeng Yuan , Yihua Huang

A black-box optimization algorithm such as Bayesian optimization finds extremum of an unknown function by alternating inference of the underlying function and optimization of an acquisition function. In a high-dimensional space, such…

量子物理 · 物理学 2021-05-03 Syun Izawa , Koki Kitai , Shu Tanaka , Ryo Tamura , Koji Tsuda

We propose a new randomized optimization method for high-dimensional problems which can be seen as a generalization of coordinate descent to random subspaces. We show that an adaptive sampling strategy for the random subspace significantly…

最优化与控制 · 数学 2019-12-19 Jonathan Lacotte , Mert Pilanci , Marco Pavone

The approximation of a high-dimensional vector by a small combination of column vectors selected from a fixed matrix has been actively debated in several different disciplines. In this paper, a sampling approach based on the Monte Carlo…

信息论 · 计算机科学 2016-10-05 Tomoyuki Obuchi , Yoshiyuki Kabashima

This study introduces the LPBSA, an advanced optimization algorithm that combines Learner Performance-based Behavior (LPB) and Simulated Annealing (SA) in a hybrid approach. Emphasizing metaheuristics, the LPBSA addresses and mitigates the…

神经与进化计算 · 计算机科学 2025-01-29 Dana R. Hamad , Tarik A. Rashid

We introduce Simulated Bifurcation Quantum Annealing (SBQA), a quantum-inspired optimization algorithm that extends simulated bifurcation by incorporating inter-replica interactions to mimic quantum tunneling. SBQA retains the efficiency…

量子物理 · 物理学 2026-04-08 Jakub Pawłowski , Paweł Tarasiuk , Jan Tuziemski , Łukasz Pawela , Bartłomiej Gardas

Ising machines have the potential to realize fast and highly accurate solvers for combinatorial optimization problems. They are classified based on their internal algorithms. Examples include simulated-annealing-based Ising machines…

统计力学 · 物理学 2023-11-15 Shuta Kikuchi , Nozomu Togawa , Shu Tanaka

In this paper we present a novel strategy to solve optimization problems within a hybrid quantum-classical scheme based on quantum annealing, with a particular focus on QUBO problems. The proposed algorithm is based on an iterative…

量子物理 · 物理学 2020-04-07 Enrico Blanzieri , Davide Pastorello