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Variational Autoencoders (VAE) are popular generative models used to sample from complex data distributions. Despite their empirical success in various machine learning tasks, significant gaps remain in understanding their theoretical…

Machine Learning · Statistics 2025-12-23 Sobihan Surendran , Antoine Godichon-Baggioni , Sylvain Le Corff

We propose a new family of optimization criteria for variational auto-encoding models, generalizing the standard evidence lower bound. We provide conditions under which they recover the data distribution and learn latent features, and…

Machine Learning · Computer Science 2017-03-01 Shengjia Zhao , Jiaming Song , Stefano Ermon

A Conditional Variational Autoencoder (CVAE) model is employed for parameter inference on gravitational waves (GW) signals of massive black hole binaries, considering joint observations with a network of three space-based GW detectors. Our…

Instrumentation and Methods for Astrophysics · Physics 2025-06-03 Hui Sun , He Wang , Jibo He

Graph representation learning is a fundamental research issue in various domains of applications, of which the inductive learning problem is particularly challenging as it requires models to generalize to unseen graph structures during…

Machine Learning · Computer Science 2024-03-27 Hanxuan Yang , Zhaoxin Yu , Qingchao Kong , Wei Liu , Wenji Mao

We propose GC-VASE, a graph convolutional-based variational autoencoder that leverages contrastive learning for subject representation learning from EEG data. Our method successfully learns robust subject-specific latent representations…

Signal Processing · Electrical Eng. & Systems 2025-01-29 Aditya Mishra , Ahnaf Mozib Samin , Ali Etemad , Javad Hashemi

This paper presents a generative approach to speech enhancement based on a recurrent variational autoencoder (RVAE). The deep generative speech model is trained using clean speech signals only, and it is combined with a nonnegative matrix…

Machine Learning · Computer Science 2020-02-11 Simon Leglaive , Xavier Alameda-Pineda , Laurent Girin , Radu Horaud

Heteroscedastic regression considering the varying noises among observations has many applications in the fields like machine learning and statistics. Here we focus on the heteroscedastic Gaussian process (HGP) regression which integrates…

Machine Learning · Statistics 2020-01-22 Haitao Liu , Yew-Soon Ong , Jianfei Cai

Parametric conditional copula models allow the copula parameters to vary with a set of covariates according to an unknown calibration function. Flexible Bayesian inference for the calibration function of a bivariate conditional copula is…

Methodology · Statistics 2017-05-26 Evgeny Levi , Radu V. Craiu

A non-intrusive reduced order model based on convolutional autoencoders (NIROM-CAEs) is proposed as a data-driven tool to build an efficient nonlinear reduced-order model for stochastic spatio-temporal large-scale physical problems. The…

Fluid Dynamics · Physics 2022-08-08 Azzedine Abdedou , Azzeddine Soulaïmani

We take steps towards understanding the "posterior collapse (PC)" difficulty in variational autoencoders (VAEs),~i.e. a degenerate optimum in which the latent codes become independent of their corresponding inputs. We rely on calculus of…

Machine Learning · Computer Science 2019-08-01 Octavian-Eugen Ganea , Yashas Annadani , Gary Bécigneul

Parameter identification and comparison of dynamical systems is a challenging task in many fields. Bayesian approaches based on Gaussian process regression over time-series data have been successfully applied to infer the parameters of a…

Machine Learning · Statistics 2019-03-04 Philippe Wenk , Alkis Gotovos , Stefan Bauer , Nico Gorbach , Andreas Krause , Joachim M. Buhmann

In this paper we propose a model that combines the strengths of RNNs and SGVB: the Variational Recurrent Auto-Encoder (VRAE). Such a model can be used for efficient, large scale unsupervised learning on time series data, mapping the time…

Machine Learning · Statistics 2015-06-16 Otto Fabius , Joost R. van Amersfoort

We construct a Bayesian inference deep learning machine for parameter estimation of gravitational wave events of binaries of black hole coalescence. The structure of our deep Bayesian machine adopts the conditional variational autoencoder…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Han-Shiang Kuo , Feng-Li Lin

We investigate a fully Latent AutoRegressive scheme based on a Gaussian Process (GP) integrated into a Variational Autoencoder (VAE). In this setting, sequential dynamics are transferred from the observation space to a continuous latent…

Machine Learning · Computer Science 2025-12-16 Yves Ruffenach

We propose to utilize a variational autoencoder (VAE) for data-driven channel estimation. The underlying true and unknown channel distribution is modeled by the VAE as a conditional Gaussian distribution in a novel way, parameterized by the…

Signal Processing · Electrical Eng. & Systems 2023-04-07 Michael Baur , Benedikt Fesl , Michael Koller , Wolfgang Utschick

Recent advances have shown that GP priors, or their finite realisations, can be encoded using deep generative models such as variational autoencoders (VAEs). These learned generators can serve as drop-in replacements for the original priors…

Machine Learning · Statistics 2023-11-13 Elizaveta Semenova , Prakhar Verma , Max Cairney-Leeming , Arno Solin , Samir Bhatt , Seth Flaxman

Traditional supervised voice activity detection (VAD) methods work well in clean and controlled scenarios, with performance severely degrading in real-world applications. One possible bottleneck is that speech in the wild contains…

Sound · Computer Science 2020-08-18 Heinrich Dinkel , Yefei Chen , Mengyue Wu , Kai Yu

Gaussian conditional random fields (GCRF) are a well-known used structured model for continuous outputs that uses multiple unstructured predictors to form its features and at the same time exploits dependence structure among outputs, which…

Machine Learning · Computer Science 2019-02-04 Andrija Petrović , Mladen Nikolić , Miloš Jovanović , Boris Delibašić

Nonparametric regression for massive numbers of samples (n) and features (p) is an increasingly important problem. In big n settings, a common strategy is to partition the feature space, and then separately apply simple models to each…

Machine Learning · Statistics 2014-06-10 Rajarshi Guhaniyogi , David B. Dunson

Prediction of future states of the environment and interacting agents is a key competence required for autonomous agents to operate successfully in the real world. Prior work for structured sequence prediction based on latent variable…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Apratim Bhattacharyya , Michael Hanselmann , Mario Fritz , Bernt Schiele , Christoph-Nikolas Straehle