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In many real-world problems, there is a limited set of training data, but an abundance of unlabeled data. We propose a new method, Generative Posterior Networks (GPNs), that uses unlabeled data to estimate epistemic uncertainty in…

Machine Learning · Computer Science 2024-01-01 Melrose Roderick , Felix Berkenkamp , Fatemeh Sheikholeslami , Zico Kolter

The Monte Carlo method is a powerful technique for computing thermodynamic magnetic states of otherwise unsolvable spin Hamiltonians, but the method becomes computationally prohibitive with increasing number of spins and the simulation of…

Computational Physics · Physics 2021-06-22 Michalis Charilaou

In this work we study the treatment of asymmetric open quantum systems with neural networks based on the restricted Boltzmann machine. In particular, we are interested in the non-equilibrium steady state current in the boundary-driven…

Quantum Physics · Physics 2023-05-10 Johannes Mellak , Enrico Arrigoni , Thomas Pock , Wolfgang von der Linden

The self-learning Metropolis-Hastings algorithm is a powerful Monte Carlo method that, with the help of machine learning, adaptively generates an easy-to-sample probability distribution for approximating a given hard-to-sample distribution.…

Quantum Physics · Physics 2021-01-04 Katsuhiro Endo , Taichi Nakamura , Keisuke Fujii , Naoki Yamamoto

The precise simulation of particle transport through detectors remains a key element for the successful interpretation of high energy physics results. However, Monte Carlo based simulation is extremely demanding in terms of computing…

High Energy Physics - Experiment · Physics 2021-09-08 Florian Rehm , Sofia Vallecorsa , Kerstin Borras , Dirk Krücker

The optimal use of quantum and classical computational techniques together is important to address problems that cannot be easily solved by quantum computations alone. This is the case of the ground state problem for quantum many-body…

Quantum Physics · Physics 2022-05-03 Patrick Huembeli , Giuseppe Carleo , Antonio Mezzacapo

Manifold Markov chain Monte Carlo algorithms have been introduced to sample more effectively from challenging target densities exhibiting multiple modes or strong correlations. Such algorithms exploit the local geometry of the parameter…

Machine Learning · Statistics 2021-05-11 Theodore Papamarkou , Alexey Lindo , Eric B. Ford

State space models (SSM) have been widely applied for the analysis and visualization of large sequential datasets. Sequential Monte Carlo (SMC) is a very popular particle-based method to sample latent states from intractable posteriors.…

Machine Learning · Computer Science 2019-01-07 Duo Xu

Quantum Monte-Carlo simulations of hybrid quantum-classical models such as the double exchange Hamiltonian require calculating the density of states of the quantum degrees of freedom at every step. Unfortunately, the computational…

Computational Physics · Physics 2022-11-23 Georgios Stratis , Phillip Weinberg , Tales Imbiriba , Pau Closas , Adrian E. Feiguin

Quantum generative modeling has emerged as a promising application of quantum computers, aiming to model complex probability distributions beyond the reach of classical methods. In practice, however, training such models often requires…

Quantum Physics · Physics 2026-03-13 Zoltán Kolarovszki , Bence Bakó , Michał Oszmaniec , Changhun Oh , Zoltán Zimborás

We study a neural network framework for the numerical evaluation of Feynman loop integrals that are fundamental building blocks for perturbative computations of physical observables in gauge and gravity theories. We show that such a machine…

High Energy Physics - Theory · Physics 2023-12-12 Ryusuke Jinno , Gregor Kälin , Zhengwen Liu , Henrique Rubira

We propose and assess an alternative quantum generator architecture in the context of generative adversarial learning for Monte Carlo event generation, used to simulate particle physics processes at the Large Hadron Collider (LHC). We…

Bayesian inference allows us to define a posterior distribution over the weights of a generic neural network (NN). Exact posteriors are usually intractable, in which case approximations can be employed. One such approximation - variational…

Machine Learning · Computer Science 2026-01-30 Andrew Millard , Joshua Murphy , Peter Green , Simon Maskell

We analyze the quantum Hopfield model in which an extensive number of patterns are embedded in the presence of a uniform transverse field. This analysis employs the replica method under the replica symmetric ansatz on the Suzuki-Trotter…

Disordered Systems and Neural Networks · Physics 2025-03-17 Koki Okajima , Yoshiyuki Kabashima

Sampling from complicated probability distributions is a hard computational problem arising in many fields, including statistical physics, optimization, and machine learning. Quantum computers have recently been used to sample from…

We conduct experimental simulations of many body quantum systems using a \emph{hybrid} classical-quantum algorithm. In our setup, the wave function of the transverse field quantum Ising model is represented by a restricted Boltzmann…

Quantum Physics · Physics 2018-12-05 Bartłomiej Gardas , Marek M. Rams , Jacek Dziarmaga

We introduce several techniques for sampling and visualizing the latent spaces of generative models. Replacing linear interpolation with spherical linear interpolation prevents diverging from a model's prior distribution and produces…

Neural and Evolutionary Computing · Computer Science 2016-12-07 Tom White

Markov chain Monte Carlo methods are a powerful tool for sampling equilibrium configurations in complex systems. One problem these methods often face is slow convergence over large energy barriers. In this work, we propose a novel method…

Computational Physics · Physics 2024-05-29 Luigi Sbailò , Manuel Dibak , Frank Noé

A Monte Carlo algorithm is said to be adaptive if it automatically calibrates its current proposal distribution using past simulations. The choice of the parametric family that defines the set of proposal distributions is critical for good…

Statistics Theory · Mathematics 2011-11-11 Christian Schäfer , Nicolas Chopin

Near-term quantum devices can be used to build quantum machine learning models, such as quantum kernel methods and quantum neural networks (QNN) to perform classification tasks. There have been many proposals how to use variational quantum…

Quantum Physics · Physics 2021-11-29 Aikaterini , Gratsea , Patrick Huembeli
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