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Time-varying linear state-space models are powerful tools for obtaining mathematically interpretable representations of neural signals. For example, switching and decomposed models describe complex systems using latent variables that evolve…

Diffusion probabilistic models (DPMs) have achieved remarkable quality in image generation that rivals GANs'. But unlike GANs, DPMs use a set of latent variables that lack semantic meaning and cannot serve as a useful representation for…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Konpat Preechakul , Nattanat Chatthee , Suttisak Wizadwongsa , Supasorn Suwajanakorn

Continuously-observed event occurrences, often exhibit self- and mutually-exciting effects, which can be well modeled using temporal point processes. Beyond that, these event dynamics may also change over time, with certain periodic trends.…

Machine Learning · Computer Science 2024-03-11 Sikun Yang , Hongyuan Zha

Effective utilization of flexible loads for grid services, while satisfying end-user preferences and constraints, requires an accurate estimation of the aggregated predictive flexibility offered by the electrical loads. Virtual battery (VB)…

Systems and Control · Electrical Eng. & Systems 2020-03-20 Indrasis Chakraborty , Sai Pushpak Nandanoori , Soumya Kundu , Karanjit Kalsi

Local causal states are latent representations that capture organized pattern and structure in complex spatiotemporal systems. We expand their functionality, framing them as spacetime autoencoders. Previously, they were only considered as…

Machine Learning · Computer Science 2020-10-13 Adam Rupe , James P. Crutchfield

This paper introduces the Descriptive Variational Autoencoder (DVAE), an unsupervised and end-to-end trainable neural network for predicting vehicle trajectories that provides partial interpretability. The novel approach is based on the…

Machine Learning · Computer Science 2021-06-25 Marion Neumeier , Andreas Tollkühn , Thomas Berberich , Michael Botsch

During the past decades, the Ising distribution has attracted interest in many applied disciplines, as the maximum entropy distribution associated to any set of correlated binary (`spin') variables with observed means and covariances.…

Disordered Systems and Neural Networks · Physics 2019-05-13 Adrien Wohrer

Given the notably increasing complexity of mathematical models to study realistic systems and their coupling to their environment that constrains their dynamics, both analytical approaches and numerical methods that build on these models,…

Quantum Physics · Physics 2019-11-11 I. Luchnikov , A. Ryzhov , P. -J. C. Stas , S. N. Filippov , H. Ouerdane

We present a numerical method to learn an accurate predictive model for an unknown stochastic dynamical system from its trajectory data. The method seeks to approximate the unknown flow map of the underlying system. It employs the idea of…

Machine Learning · Computer Science 2024-12-24 Zhongshu Xu , Yuan Chen , Qifan Chen , Dongbin Xiu

There has been a lot of recent interest in designing neural network models to estimate a distribution from a set of examples. We introduce a simple modification for autoencoder neural networks that yields powerful generative models. Our…

Machine Learning · Computer Science 2015-06-08 Mathieu Germain , Karol Gregor , Iain Murray , Hugo Larochelle

In recent years, machine learning models, chiefly deep neural networks, have revealed suited to learn accurate energy-density functionals from data. However, problematic instabilities have been shown to occur in the search of ground-state…

Computational Physics · Physics 2024-09-26 Emanuele Costa , Giuseppe Scriva , Sebastiano Pilati

This work utilizes a variational autoencoder for channel estimation and evaluates it on real-world measurements. The estimator is trained solely on noisy channel observations and parameterizes an approximation to the mean squared…

Signal Processing · Electrical Eng. & Systems 2024-05-08 Michael Baur , Benedikt Böck , Nurettin Turan , Wolfgang Utschick

Variational Autoencoders (VAEs) provide a theoretically-backed and popular framework for deep generative models. However, learning a VAE from data poses still unanswered theoretical questions and considerable practical challenges. In this…

Machine Learning · Computer Science 2020-06-01 Partha Ghosh , Mehdi S. M. Sajjadi , Antonio Vergari , Michael Black , Bernhard Schölkopf

We propose a latent space dynamics identification method, namely tLaSDI, that embeds the first and second principles of thermodynamics. The latent variables are learned through an autoencoder as a nonlinear dimension reduction model. The…

Machine Learning · Computer Science 2024-03-25 Jun Sur Richard Park , Siu Wun Cheung , Youngsoo Choi , Yeonjong Shin

Using an efficient one and two qubit gate simulator, operating on graphical processing units, we investigate ergodic properties of a quantum Ising spin 1/2 model on a two dimensional lattice, which is periodically driven by a…

Statistical Mechanics · Physics 2015-01-07 Carlos Pineda , Tomaž Prosen , Eduardo Villaseñor

We propose a general framework to extract microscopic interactions from raw configurations with deep neural networks. The approach replaces the modeling Hamiltonian by the neural networks, in which the interaction is encoded. It can be…

Computational Physics · Physics 2020-08-19 Lingxiao Wang , Yin Jiang , Kai Zhou

Learning the latent representation of data in unsupervised fashion is a very interesting process that provides relevant features for enhancing the performance of a classifier. For speech emotion recognition tasks, generating effective…

Sound · Computer Science 2020-07-29 Siddique Latif , Rajib Rana , Junaid Qadir , Julien Epps

We discuss an autoencoder model in which the encoding and decoding functions are implemented by decision trees. We use the soft decision tree where internal nodes realize soft multivariate splits given by a gating function and the overall…

Machine Learning · Computer Science 2014-09-29 Ozan İrsoy , Ethem Alpaydın

For stochastic models with intractable likelihood functions, approximate Bayesian computation offers a way of approximating the true posterior through repeated comparisons of observations with simulated model outputs in terms of a small set…

Machine Learning · Computer Science 2022-05-24 Carlo Albert , Simone Ulzega , Firat Ozdemir , Fernando Perez-Cruz , Antonietta Mira

Imitation learning is an intuitive approach for teaching motion to robotic systems. Although previous studies have proposed various methods to model demonstrated movement primitives, one of the limitations of existing methods is that the…

Robotics · Computer Science 2020-09-24 Takayuki Osa , Shuhei Ikemoto
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