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A general Boltzmann machine with continuous visible and discrete integer valued hidden states is introduced. Under mild assumptions about the connection matrices, the probability density function of the visible units can be solved for…

Machine Learning · Statistics 2020-01-29 Daniel Krefl , Stefano Carrazza , Babak Haghighat , Jens Kahlen

Robots learning a new manipulation task from a small amount of demonstrations are increasingly demanded in different workspaces. A classifier model assessing the quality of actions can predict the successful completion of a task, which can…

Robotics · Computer Science 2021-07-05 Abdalkarim Mohtasib , Amir Ghalamzan E. , Nicola Bellotto , Heriberto Cuayáhuitl

Deep Boltzmann machines (DBMs), one of the first ``deep'' learning methods ever studied, are multi-layered probabilistic models governed by a pairwise energy function that describes the likelihood of all variables/nodes in the network. In…

Machine Learning · Computer Science 2023-07-12 Zhili Feng , Ezra Winston , J. Zico Kolter

Boltzmann exploration is a classic strategy for sequential decision-making under uncertainty, and is one of the most standard tools in Reinforcement Learning (RL). Despite its widespread use, there is virtually no theoretical understanding…

Machine Learning · Computer Science 2017-11-08 Nicolò Cesa-Bianchi , Claudio Gentile , Gábor Lugosi , Gergely Neu

We compare and contrast the statistical physics and quantum physics inspired approaches for unsupervised generative modeling of classical data. The two approaches represent probabilities of observed data using energy-based models and…

Data Analysis, Statistics and Probability · Physics 2018-08-08 Song Cheng , Jing Chen , Lei Wang

The prediction of structure dependent molecular properties, such as collision cross sections as measured using ion mobility spectrometry, are crucially dependent on the selection of the correct population of molecular conformers. Here, we…

Chemical Physics · Physics 2020-10-16 Felicity F. Nielson , Sean M. Colby , Dennis G. Thomas , Ryan S. Renslow , Thomas O. Metz

The Boltzmann equation describes the evolution of the phase-space probability distribution of classical particles under binary collisions. Approximations to it underlie the basis for several scholarly fields, including aerodynamics and…

Plasma Physics · Physics 2023-08-09 George J. Wilkie , Torsten Keßler , Sergej Rjasanow

Restricted Boltzmann machines are used for probabilistic learning and are capable of capturing complex dependencies in data. They are employed for diverse purposes such as dimensionality reduction, feature learning and can be used for…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 Rehana Begum Popy , Mahdis Hamdi , Robert L. Stamps

A linear Boltzmann equation with nonautonomous collision operator is rigorously derived in the Boltzmann-Grad limit for the deterministic dynamics of a Rayleigh gas where a tagged particle is undergoing hard-sphere collisions with…

Analysis of PDEs · Mathematics 2019-04-24 Karsten Matthies , George Stone

Restricted Boltzmann machines (RBMs) are a powerful class of generative models, but their training requires computing a gradient that, unlike supervised backpropagation on typical loss functions, is notoriously difficult even to…

Machine Learning · Computer Science 2020-11-03 Haik Manukian , Yan Ru Pei , Sean R. B. Bearden , Massimiliano Di Ventra

Probabilistic models can be defined by an energy function, where the probability of each state is proportional to the exponential of the state's negative energy. This paper considers a generalization of energy-based models in which the…

Neurons and Cognition · Quantitative Biology 2016-05-25 Jan Humplik , Gašper Tkačik

We present a general method for fitting finite mixture models (FMM). Learning in a mixture model consists of finding the most likely cluster assignment for each data-point, as well as finding the parameters of the clusters themselves. In…

Machine Learning · Statistics 2019-12-20 Mathias Edman , Neil Dhir

When the competing classes in a classification problem are not of comparable size, many popular classifiers exhibit a bias towards larger classes, and the nearest neighbor classifier is no exception. To take care of this problem, we develop…

Methodology · Statistics 2023-11-02 Anvit Garg , Anil K. Ghosh , Soham Sarkar

ProBoost, a new boosting algorithm for probabilistic classifiers, is proposed in this work. This algorithm uses the epistemic uncertainty of each training sample to determine the most challenging/uncertain ones; the relevance of these…

In recent years the machine learning techniques have shown a great potential in various problems from a multitude of disciplines, including materials design and drug discovery. The high computational speed on the one hand and the accuracy…

Chemical Physics · Physics 2018-05-09 Konstantin Gubaev , Evgeny V. Podryabinkin , Alexander V. Shapeev

Machine Learning has attracted considerable attention throughout the past decade due to its potential to solve far-reaching tasks, such as image classification, object recognition, anomaly detection, and data forecasting. A standard…

Machine Learning · Computer Science 2022-02-09 Gustavo Henrique de Rosa , Mateus Roder , João Paulo Papa

A Restricted Boltzmann Machine (RBM) is an unsupervised machine-learning bipartite graphical model that jointly learns a probability distribution over data and extracts their relevant statistical features. As such, RBM were recently…

Machine Learning · Computer Science 2019-02-19 Jérôme Tubiana , Simona Cocco , Rémi Monasson

Efficient sampling of the Boltzmann distribution of molecular systems is a long-standing challenge. Recently, instead of generating long molecular dynamics simulations, generative machine learning methods such as normalizing flows have been…

Machine Learning · Computer Science 2024-08-06 Henrik Schopmans , Pascal Friederich

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

Conditional restricted Boltzmann machines are undirected stochastic neural networks with a layer of input and output units connected bipartitely to a layer of hidden units. These networks define models of conditional probability…

Neural and Evolutionary Computing · Computer Science 2015-03-13 Guido Montufar , Nihat Ay , Keyan Ghazi-Zahedi