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Restricted Boltzmann Machine (RBM) is an energy based, undirected graphical model. It is commonly used for unsupervised and supervised machine learning. Typically, RBM is trained using contrastive divergence (CD). However, training with CD…

Machine Learning · Computer Science 2021-07-02 Vivek Dixit , Raja Selvarajan , Muhammad A. Alam , Travis S. Humble , Sabre Kais

Quantum annealing (QA) is a hardware-based heuristic optimization and sampling method applicable to discrete undirected graphical models. While similar to simulated annealing, QA relies on quantum, rather than thermal, effects to explore…

Boltzmann Machines constitute a class of neural networks with applications to image reconstruction, pattern classification and unsupervised learning in general. Their most common variants, called Restricted Boltzmann Machines (RBMs) exhibit…

Quantum Physics · Physics 2020-03-30 Lorenzo Rocutto , Claudio Destri , Enrico Prati

Modest statistical differences between the sampling performances of the D-Wave quantum annealer (QA) and the classical Markov Chain Monte Carlo (MCMC), when applied to Restricted Boltzmann Machines (RBMs), are explored to explain, and…

Machine Learning · Computer Science 2025-08-22 Abdelmoula El-Yazizi , Yaroslav Koshka

Deep Learning algorithms, such as those used in Reinforcement Learning, often require large quantities of data to train effectively. In most cases, the availability of data is not a significant issue. However, for some contexts, such as in…

Quantum Physics · Physics 2024-09-02 Daniel Kent , Clement O'Rourke , Jake Southall , Kirsty Duncan , Adrian Bedford

Recent work has proposed and explored using coreset techniques for quantum algorithms that operate on classical data sets to accelerate the applicability of these algorithms on near-term quantum devices. We apply these ideas to Quantum…

Quantum Physics · Physics 2023-07-28 Joshua Viszlai , Teague Tomesh , Pranav Gokhale , Eric Anschuetz , Frederic T. Chong

We propose a scheme to calibrate the internal parameters of a quantum annealer to obtain well-approximated samples for training a restricted Boltzmann machine (RBM). Empirically, samples from quantum annealers obey the Boltzmann…

Quantum Physics · Physics 2025-02-18 Takeru Goto , Masayuki Ohzeki

We investigate whether quantum annealers with select chip layouts can outperform classical computers in reinforcement learning tasks. We associate a transverse field Ising spin Hamiltonian with a layout of qubits similar to that of a deep…

Quantum Physics · Physics 2019-01-07 Daniel Crawford , Anna Levit , Navid Ghadermarzy , Jaspreet S. Oberoi , Pooya Ronagh

The quantum Boltzmann machine (QBM) is a generative machine learning model for both classical data and quantum states. Training the QBM consists of minimizing the relative entropy from the model to the target state. This requires QBM…

Quantum Physics · Physics 2024-05-24 Onno Huijgen , Luuk Coopmans , Peyman Najafi , Marcello Benedetti , Hilbert J. Kappen

This study explores the implementation of large Quantum Restricted Boltzmann Machines (QRBMs), a key advancement in Quantum Machine Learning (QML), as generative models on D-Wave's Pegasus quantum hardware to address dataset imbalance in…

Emerging Technologies · Computer Science 2025-07-30 Salvatore Sinno , Markus Bertl , Arati Sahoo , Bhavika Bhalgamiya , Thomas Groß , Nicholas Chancellor

In Deep Learning, a well-known approach for training a Deep Neural Network starts by training a generative Deep Belief Network model, typically using Contrastive Divergence (CD), then fine-tuning the weights using backpropagation or other…

Quantum Physics · Physics 2015-10-22 Steven H. Adachi , Maxwell P. Henderson

Understanding how the D-Wave quantum computer could be used for machine learning problems is of growing interest. Our work evaluates the feasibility of using the D-Wave as a sampler for machine learning. We describe a hybrid system that…

Quantum Physics · Physics 2020-02-03 Jennifer Sleeman , John Dorband , Milton Halem

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

We present the application of Restricted Boltzmann Machines (RBMs) to the task of astronomical image classification using a quantum annealer built by D-Wave Systems. Morphological analysis of galaxies provides critical information for…

Quantum Physics · Physics 2020-02-17 João Caldeira , Joshua Job , Steven H. Adachi , Brian Nord , Gabriel N. Perdue

Restricted Boltzmann machines (RBMs) and their extensions, called 'deep-belief networks', are powerful neural networks that have found applications in the fields of machine learning and artificial intelligence. The standard way to training…

Machine Learning · Computer Science 2018-10-25 Haik Manukian , Fabio L. Traversa , Massimiliano Di Ventra

Mixed-precision quantization mostly predetermines the model bit-width settings before actual training due to the non-differential bit-width sampling process, obtaining sub-optimal performance. Worse still, the conventional static…

Artificial Intelligence · Computer Science 2023-02-10 Yingchun Wang , Jingcai Guo , Song Guo , Weizhan Zhang

Inspired by the success of Boltzmann Machines based on classical Boltzmann distribution, we propose a new machine learning approach based on quantum Boltzmann distribution of a transverse-field Ising Hamiltonian. Due to the non-commutative…

Quantum Physics · Physics 2018-05-30 Mohammad H. Amin , Evgeny Andriyash , Jason Rolfe , Bohdan Kulchytskyy , Roger Melko

Estimation of the large $Q$-matrix in Cognitive Diagnosis Models (CDMs) with many items and latent attributes from observational data has been a huge challenge due to its high computational cost. Borrowing ideas from deep learning…

Methodology · Statistics 2021-11-30 Chengcheng Li , Chenchen Ma , Gongjun Xu

Quantum computing holds significant potential to accelerate machine learning algorithms, especially in solving optimization problems like those encountered in Support Vector Machine (SVM) training. However, current QUBO-based Quantum SVM…

Machine Learning · Computer Science 2025-03-21 Haoqi He , Yan Xiao

Exploiting the fact that samples drawn from a quantum annealer inherently follow a Boltzmann-like distribution, annealing-based Quantum Boltzmann Machines (QBMs) have gained increasing popularity in the quantum research community. While…

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