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The variational wave functions based on neural networks have recently started to be recognized as a powerful ansatz to represent quantum many-body states accurately. In order to show the usefulness of the method among all available…

Strongly Correlated Electrons · Physics 2021-04-28 Yusuke Nomura

We propose a data-driven approach using a Restricted Boltzmann Machine (RBM) to solve the Schr\"odinger equation in configuration space. Traditional Configuration Interaction (CI) methods construct the wavefunction as a linear combination…

Quantum machine learning algorithms, the extensions of machine learning to quantum regimes, are believed to be more powerful as they leverage the power of quantum properties. Quantum machine learning methods have been employed to solve…

Computational Physics · Physics 2021-06-01 Shree Hari Sureshbabu , Manas Sajjan , Sangchul Oh , Sabre Kais

Estimation of Distribution Algorithms (EDAs) require flexible probability models that can be efficiently learned and sampled. Restricted Boltzmann Machines (RBMs) are generative neural networks with these desired properties. We integrate an…

Neural and Evolutionary Computing · Computer Science 2014-12-01 Malte Probst , Franz Rothlauf , Jörn Grahl

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 novel online learning algorithm for Restricted Boltzmann Machines (RBM), namely, the Online Generative Discriminative Restricted Boltzmann Machine (OGD-RBM), that provides the ability to build and adapt the network architecture…

Neural and Evolutionary Computing · Computer Science 2018-03-07 Savitha Ramasamy , Kanagasabai Rajaraman , Pavitra Krishnaswamy , Vijay Chandrasekhar

Deep learning methods relying on multi-layered networks have been actively studied in a wide range of fields in recent years, and deep Boltzmann machines(DBMs) is one of them. In this study, a model of DBMs with some properites of weight…

Disordered Systems and Neural Networks · Physics 2022-10-06 Yuma Ichikawa , Koji Hukushima

We study the problem of learning a Bayesian network (BN) of a set of variables when structural side information about the system is available. It is well known that learning the structure of a general BN is both computationally and…

Machine Learning · Computer Science 2021-12-22 Ehsan Mokhtarian , Sina Akbari , Fateme Jamshidi , Jalal Etesami , Negar Kiyavash

Hidden Quantum Markov Models (HQMMs) can be thought of as quantum probabilistic graphical models that can model sequential data. We extend previous work on HQMMs with three contributions: (1) we show how classical hidden Markov models…

Machine Learning · Statistics 2017-10-26 Siddarth Srinivasan , Geoff Gordon , Byron Boots

We study the two inference problems of detecting and recovering an isolated community of \emph{general} structure planted in a random graph. The detection problem is formalized as a hypothesis testing problem, where under the null…

Data Structures and Algorithms · Computer Science 2022-01-25 Wasim Huleihel

Restricted Boltzmann machines are undirected neural networks which have been shown to be effective in many applications, including serving as initializations for training deep multi-layer neural networks. One of the main reasons for their…

Disordered Systems and Neural Networks · Physics 2016-02-11 Marylou Gabrié , Eric W. Tramel , Florent Krzakala

Scene recognition is an important research topic in computer vision, while feature extraction is a key step of object recognition. Although classical Restricted Boltzmann machines (RBM) can efficiently represent complicated data, it is hard…

Computer Vision and Pattern Recognition · Computer Science 2015-06-25 Jingyu Gao , Jinfu Yang , Guanghui Wang , Mingai Li

Stochastic blockmodels (SBM) and their variants, $e.g.$, mixed-membership and overlapping stochastic blockmodels, are latent variable based generative models for graphs. They have proven to be successful for various tasks, such as…

Machine Learning · Computer Science 2019-05-15 Nikhil Mehta , Lawrence Carin , Piyush Rai

A goal of unsupervised machine learning is to build representations of complex high-dimensional data, with simple relations to their properties. Such disentangled representations make easier to interpret the significant latent factors of…

Machine Learning · Computer Science 2023-04-06 Jorge Fernandez-de-Cossio-Diaz , Simona Cocco , Remi Monasson

Covariance matrices have proven highly effective across many scientific fields. Since these matrices lie within the Symmetric Positive Definite (SPD) manifold - a Riemannian space with intrinsic non-Euclidean geometry, the primary challenge…

Machine Learning · Computer Science 2025-04-02 Rui Wang , Shaocheng Jin , Ziheng Chen , Xiaoqing Luo , Xiao-Jun Wu

Stochastic neural networks such as Restricted Boltzmann Machines (RBMs) have been successfully used in applications ranging from speech recognition to image classification. Inference and learning in these algorithms use a Markov Chain Monte…

Neural and Evolutionary Computing · Computer Science 2016-11-17 Bruno U. Pedroni , Srinjoy Das , John V. Arthur , Paul A. Merolla , Bryan L. Jackson , Dharmendra S. Modha , Kenneth Kreutz-Delgado , Gert Cauwenberghs

The restricted Boltzmann machine (RBM) has been successfully applied to solve the many-electron Schr$\ddot{\text{o}}$dinger equation. In this work we propose a single-layer fully connected neural network adapted from RBM and apply it to…

Quantum Physics · Physics 2023-01-11 Yangjun Wu , Xiansong Xu , Dario Poletti , Yi Fan , Chu Guo , Honghui Shang

Current large scale implementations of deep learning and data mining require thousands of processors, massive amounts of off-chip memory, and consume gigajoules of energy. Emerging memory technologies such as nanoscale two-terminal…

Neural and Evolutionary Computing · Computer Science 2016-11-15 S. Burc Eryilmaz , Emre Neftci , Siddharth Joshi , SangBum Kim , Matthew BrightSky , Hsiang-Lan Lung , Chung Lam , Gert Cauwenberghs , H. -S. Philip Wong

Probabilistic graphical models (PGMs) are widely used to discover latent structure in data, but their success hinges on selecting an appropriate model design. In practice, model specification is difficult and often requires iterative…

Machine Learning · Computer Science 2026-04-08 Kevin Zhang , Yixin Wang

Recurrent Neural Network (RNN) and its variations such as Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU), have become standard building blocks for learning online data of sequential nature in many research areas, including…

Computation and Language · Computer Science 2020-05-12 Enmao Diao , Jie Ding , Vahid Tarokh