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The framework of variational autoencoders allows us to efficiently learn deep latent-variable models, such that the model's marginal distribution over observed variables fits the data. Often, we're interested in going a step further, and…

Machine Learning · Statistics 2020-12-22 Ilyes Khemakhem , Diederik P. Kingma , Ricardo Pio Monti , Aapo Hyvärinen

The Eliashberg theory of superconductivity accounts for the fundamental physics of conventional electron-phonon superconductors, including the retardation of the interaction and the effect of the Coulomb pseudopotential, to predict the…

Learning with an artificial neural network encodes the system behavior in a feed-forward function with a number of parameters optimized by data-driven training. An open question is whether one can minimize the network complexity without…

Statistical Mechanics · Physics 2018-09-03 Dongkyu Kim , Dong-Hee Kim

We present a representation learning algorithm that learns a low-dimensional latent dynamical system from high-dimensional \textit{sequential} raw data, e.g., video. The framework builds upon recent advances in amortized inference methods…

Machine Learning · Computer Science 2020-01-29 Jung-Su Ha , Young-Jin Park , Hyeok-Joo Chae , Soon-Seo Park , Han-Lim Choi

An unconventional magnet may be mapped onto a simple ferromagnet by the existence of a high-symmetry point. Knowledge of conventional ferromagnetic systems may then be carried over to provide insight into more complex orders. Here we…

Computational Physics · Physics 2021-07-28 Nihal Rao , Ke Liu , Lode Pollet

Autoencoders exhibit impressive abilities to embed the data manifold into a low-dimensional latent space, making them a staple of representation learning methods. However, without explicit supervision, which is often unavailable, the…

Machine Learning · Computer Science 2023-01-12 Felix Leeb , Stefan Bauer , Michel Besserve , Bernhard Schölkopf

We present a procedure for reconstructing the decision function of an artificial neural network as a simple function of the input, provided the decision function is sufficiently symmetric. In this case one can easily deduce the quantity by…

Statistical Mechanics · Physics 2017-11-15 Sebastian Johann Wetzel , Manuel Scherzer

Learning disentangled representations from visual data, where different high-level generative factors are independently encoded, is of importance for many computer vision tasks. Solving this problem, however, typically requires to…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Adria Ruiz , Oriol Martinez , Xavier Binefa , Jakob Verbeek

Recent advances in deep learning and neural networks have led to an increased interest in the application of generative models in statistical and condensed matter physics. In particular, restricted Boltzmann machines (RBMs) and variational…

Disordered Systems and Neural Networks · Physics 2020-06-09 Francesco D'Angelo , Lucas Böttcher

Compressed sensing techniques enable efficient acquisition and recovery of sparse, high-dimensional data signals via low-dimensional projections. In this work, we propose Uncertainty Autoencoders, a learning framework for unsupervised…

Machine Learning · Statistics 2019-04-15 Aditya Grover , Stefano Ermon

To successfully apply trained neural network models to new domains, powerful transfer learning solutions are essential. We propose to introduce a novel cross-domain latent modulation mechanism to a variational autoencoder framework so as to…

Machine Learning · Computer Science 2024-02-01 Jinyong Hou , Jeremiah D. Deng , Stephen Cranefield , Xuejie Din

A data-driven framework is proposed towards the end of predictive modeling of complex spatio-temporal dynamics, leveraging nested non-linear manifolds. Three levels of neural networks are used, with the goal of predicting the future state…

Computational Physics · Physics 2020-09-14 Jiayang Xu , Karthik Duraisamy

We investigate the parameter space of transformer models trained on protein sequence data using a statistical mechanics framework, sampling the loss landscape at varying temperatures by Langevin dynamics to characterize the low-loss…

Disordered Systems and Neural Networks · Physics 2026-04-01 L. Ghiringhelli , A. Zambon , G. Tiana

We present a method to increase the resolution of measurements of a physical system and subsequently predict its time evolution using thermodynamics-aware neural networks. Our method uses adversarial autoencoders, which reduce the…

Computational Physics · Physics 2024-07-24 Carlos Bermejo-Barbanoj , Beatriz Moya , Alberto Badías , Francisco Chinesta , Elías Cueto

In this paper, we apply machine learning methods to study phase transitions in certain statistical mechanical models on the two dimensional lattices, whose transitions involve non-local or topological properties, including site and bond…

Statistical Mechanics · Physics 2019-06-11 Wanzhou Zhang , Jiayu Liu , Tzu-Chieh Wei

In this work we consider a superradiant phase transition problem for the Dicke-Ising model, which generalizes the Dicke and Ising models for annealed complex networks presuming spin-spin interaction. The model accounts the interaction…

Quantum Physics · Physics 2021-08-10 Andrei Yu. Bazhenov , Dmitriy V. Tsarev , Alexander P. Alodjants

The two-dimensional (2D) random-bond Ising model has a novel multicritical point on the ferromagnetic to paramagnetic phase boundary. This random phase transition is one of the simplest examples of a 2D critical point occurring at both…

Statistical Mechanics · Physics 2009-10-28 Sora Cho , Matthew P. A. Fisher

The superconducting properties of a layered system are analyzed for the cases of zero- and non-zero angular momentum of the pairs. The effective thermodynamic potential for the quasi-2D XY-model for the gradients of the phase of the order…

Superconductivity · Physics 2009-11-10 V. M. Loktev , V. Turkowski

Autonomous driving has a natural bi-level structure. The goal of the upper behavioural layer is to provide appropriate lane change, speeding up, and braking decisions to optimize a given driving task. However, this layer can only indirectly…

Robotics · Computer Science 2022-12-06 Arun Kumar Singh , Jatan Shrestha , Nicola Albarella

In this article, we explore the potential of artificial neural networks, which are trained using an exceptionally simplified catalog of ideal configurations encompassing both order and disorder. We explore the generalisation power of these…

Disordered Systems and Neural Networks · Physics 2024-06-19 G. L. Garcia Pavioni , M. Arlego , C. A. Lamas
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