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A hybrid quantum-classical method for learning Boltzmann machines (BM) for a generative and discriminative task is presented. Boltzmann machines are undirected graphs with a network of visible and hidden nodes where the former is used as…

Quantum Physics · Physics 2022-07-21 Siddhartha Srivastava , Veera Sundararaghavan

Quantum annealing was originally proposed as an approach for solving combinatorial optimisation problems using quantum effects. D-Wave Systems has released a production model of quantum annealing hardware. However, the inherent noise and…

Disordered Systems and Neural Networks · Physics 2021-03-16 Takehito Sato , Masayuki Ohzeki , Kazuyuki Tanaka

Generative AI has redefined artificial intelligence, enabling the creation of innovative content and customized solutions that drive business practices into a new era of efficiency and creativity. In this paper, we focus on diffusion…

Machine Learning · Computer Science 2024-03-21 Zihao Li , Hui Yuan , Kaixuan Huang , Chengzhuo Ni , Yinyu Ye , Minshuo Chen , Mengdi Wang

Boltzmann machines are the basis of several deep learning methods that have been successfully applied to both supervised and unsupervised machine learning tasks. These models assume that a dataset is generated according to a Boltzmann…

Quantum Physics · Physics 2021-01-25 Richard Y. Li , Tameem Albash , Daniel A. Lidar

Many scientific and technological problems are related to optimization. Among them, black-box optimization in high-dimensional space is particularly challenging. Recent neural network-based black-box optimization studies have shown…

Neural and Evolutionary Computing · Computer Science 2024-01-30 Changhwi Park

We consider the problem of black-box function optimization over the boolean hypercube. Despite the vast literature on black-box function optimization over continuous domains, not much attention has been paid to learning models for…

Black-box optimization (BBO) algorithms are concerned with finding the best solutions for problems with missing analytical details. Most classical methods for such problems are based on strong and fixed a priori assumptions, such as…

Machine Learning · Computer Science 2023-02-01 Minfang Lu , Shuai Ning , Shuangrong Liu , Fengyang Sun , Bo Zhang , Bo Yang , Lin Wang

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…

Quantum Physics · Physics 2021-05-03 Syun Izawa , Koki Kitai , Shu Tanaka , Ryo Tamura , Koji Tsuda

An increase in the efficiency of sampling from Boltzmann distributions would have a significant impact on deep learning and other machine-learning applications. Recently, quantum annealers have been proposed as a potential candidate to…

Quantum Physics · Physics 2016-08-17 Marcello Benedetti , John Realpe-Gómez , Rupak Biswas , Alejandro Perdomo-Ortiz

Optimization of high-dimensional black-box functions is an extremely challenging problem. While Bayesian optimization has emerged as a popular approach for optimizing black-box functions, its applicability has been limited to…

Machine Learning · Statistics 2018-08-06 Zi Wang , Chengtao Li , Stefanie Jegelka , Pushmeet Kohli

Black-box global optimization aims at minimizing an objective function whose analytical form is not known. To do so, many state-of-the-art methods rely on sampling-based strategies, where sampling distributions are built in an iterative…

Optimization and Control · Mathematics 2024-09-30 Thomas Guilmeau , Emilie Chouzenoux , Víctor Elvira

Sampling from a Boltzmann distribution is NP-hard and so requires heuristic approaches. Quantum annealing is one promising candidate. The failure of annealing dynamics to equilibrate on practical time scales is a well understood limitation,…

Quantum Physics · Physics 2017-08-28 Jack Raymond , Sheir Yarkoni , Evgeny Andriyash

I propose a "quantum annealing" heuristic for the problem of combinatorial search among a frustrated set of states characterized by a cost function to be minimized. The algorithm is probabilistic, with postselection of the measurement…

Quantum Physics · Physics 2009-11-07 Carlo A. Trugenberger

Many important problems in science and engineering, such as drug design, involve optimizing an expensive black-box objective function over a complex, high-dimensional, and structured input space. Although machine learning techniques have…

Machine Learning · Computer Science 2020-10-27 Austin Tripp , Erik Daxberger , José Miguel Hernández-Lobato

Annealing-based neural samplers seek to amortize sampling from unnormalized distributions by training neural networks to transport a family of densities interpolating from source to target. A crucial design choice in the training phase of…

Machine Learning · Computer Science 2025-09-03 Ezra Erives , Bowen Jing , Peter Holderrieth , Tommi Jaakkola

Boltzmann machine is a powerful machine learning model with many real-world applications, for example by constructing deep belief networks. Statistical inference on a Boltzmann machine can be carried out by sampling from its posterior…

Quantum Physics · Physics 2023-11-23 Mārtiņš Kālis , Andris Locāns , Rolands Šikovs , Hassan Naseri , Andris Ambainis

We present a general strategy for turning generative models into candidate solution samplers for batch Bayesian optimization (BO). The use of generative models for BO enables large batch scaling as generative sampling, optimization of…

Machine Learning · Statistics 2026-05-15 Rafael Oliveira , Daniel M. Steinberg , Edwin V. Bonilla

While Annealing Machines (AM) have shown increasing capabilities in solving complex combinatorial problems, positioning themselves as a more immediate alternative to the expected advances of future fully quantum solutions, there are still…

Artificial Intelligence · Computer Science 2025-01-13 Pablo Loyola , Kento Hasegawa , Andres Hoyos-Idobro , Kazuo Ono , Toyotaro Suzumura , Yu Hirate , Masanao Yamaoka

In statistics, it is common to encounter multi-modal and non-smooth likelihood (or objective function) maximization problems, where the parameters have known upper and lower bounds. This paper proposes a novel derivative-free global…

Optimization and Control · Mathematics 2023-09-14 Priyam Das

Energy-based generative models, such as restricted Boltzmann machines (RBMs), require unbiased Boltzmann samples for effective training. Classical Markov chain Monte Carlo methods, however, converge slowly and yield correlated samples,…

Quantum Physics · Physics 2026-03-16 Gilhan Kim , Ju-Yeon Gyhm , Daniel K. Park
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