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Multimodal variational autoencoders (VAEs) are widely used for weakly supervised generative learning with multiple modalities. Predominant methods aggregate unimodal inference distributions using either a product of experts (PoE), a mixture…

Machine Learning · Computer Science 2026-04-01 Huyen Vo , Isabel Valera

Data-driven fault diagnostics of safety-critical systems often faces the challenge of a complete lack of labeled data associated with faulty system conditions (i.e., fault types) at training time. Since an unknown number and nature of fault…

Machine Learning · Computer Science 2020-10-01 Manuel Arias Chao , Bryan T. Adey , Olga Fink

This paper focuses on the state estimation problem in distributed sensor networks, where intermittent packet dropouts, corrupted observations, and unknown noise covariances coexist. To tackle this challenge, we formulate the joint…

Machine Learning · Statistics 2026-04-06 Peng Sun , Ruoyu Wang , Xue Luo

Variational autoencoder (VAE) neural networks can be trained to generate power system states that capture both marginal distribution and multivariate dependencies of historical data. The coordinates of the latent space codes of VAEs have…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Chenguang Wang , Ensieh Sharifnia , Simon H. Tindemans , Peter Palensky

In recent years, several ensemble-based filtering methods have been proposed and studied. The main challenge in such procedures is the updating of a prior ensemble to a posterior ensemble at every step of the filtering recursions. In the…

Methodology · Statistics 2019-04-11 Margrethe Kvale Loe , Håkon Tjelmeland

There has been a recent surge in development of accurate machine learning (ML) weather prediction models, but evaluation of these models has mainly been focused on medium-range forecasts, not their performance in cycling data assimilation…

Atmospheric and Oceanic Physics · Physics 2024-12-25 Laura C. Slivinski , Jeffrey S. Whitaker , Sergey Frolov , Timothy A. Smith , Niraj Agarwal

Variational autoencoders (VAEs) are a standard framework for inducing latent variable models that have been shown effective in learning text representations as well as in text generation. The key challenge with using VAEs is the {\it…

Machine Learning · Computer Science 2020-05-01 Serhii Havrylov , Ivan Titov

This paper introduces a modified variational autoencoder (VAEs) that contains an additional neural network branch. The resulting branched VAE (BVAE) contributes a classification component based on the class labels to the total loss and…

Machine Learning · Computer Science 2024-01-08 Ahmed Salah , David Yevick

The Ensemble Kalman Filter (EnKF) is a widely used method for data assimilation in high-dimensional systems, with an ensemble update step equivalent to an empirical version of the Matheron update popular in Gaussian process regression -- a…

Machine Learning · Computer Science 2025-09-19 Dan MacKinlay

Clustering is among the most fundamental tasks in computer vision and machine learning. In this paper, we propose Variational Deep Embedding (VaDE), a novel unsupervised generative clustering approach within the framework of Variational…

Computer Vision and Pattern Recognition · Computer Science 2017-06-29 Zhuxi Jiang , Yin Zheng , Huachun Tan , Bangsheng Tang , Hanning Zhou

The ensemble Kalman filter (EnKF) is a method for combining a dynamical model with data in a sequential fashion. Despite its widespread use, there has been little analysis of its theoretical properties. Many of the algorithmic innovations…

Probability · Mathematics 2015-06-17 D. T. B. Kelly , K. J. H. Law , A. M. Stuart

Deep state-space models (DSSMs) enable temporal predictions by learning the underlying dynamics of observed sequence data. They are often trained by maximising the evidence lower bound. However, as we show, this does not ensure the model…

Machine Learning · Computer Science 2026-02-27 Alexej Klushyn , Richard Kurle , Maximilian Soelch , Botond Cseke , Patrick van der Smagt

The generation of discontinuous distributions is a difficult task for most known frameworks such as generative autoencoders and generative adversarial networks. Generative non-invertible models are unable to accurately generate such…

Machine Learning · Computer Science 2021-12-20 Mariia Drozdova , Vitaliy Kinakh , Guillaume Quétant , Tobias Golling , Slava Voloshynovskiy

Stochastic processes provide a mathematically elegant way model complex data. In theory, they provide flexible priors over function classes that can encode a wide range of interesting assumptions. In practice, however, efficient inference…

Machine Learning · Computer Science 2022-09-15 Swapnil Mishra , Seth Flaxman , Tresnia Berah , Harrison Zhu , Mikko Pakkanen , Samir Bhatt

Variational auto-encoders (VAEs) are a powerful approach to unsupervised learning. They enable scalable approximate posterior inference in latent-variable models using variational inference (VI). A VAE posits a variational family…

Machine Learning · Computer Science 2022-06-08 Samarth Sinha , Adji B. Dieng

Current deep learning-based manifold learning algorithms such as the variational autoencoder (VAE) require fully sampled data to learn the probability density of real-world datasets. Once learned, the density can be used for a variety of…

Image and Video Processing · Electrical Eng. & Systems 2021-12-13 Qing Zou , Abdul Haseeb Ahmed , Prashant Nagpal , Sarv Priya , Rolf Schulte , Mathews Jacob

Variational autoencdoers (VAE) are a popular approach to generative modelling. However, exploiting the capabilities of VAEs in practice can be difficult. Recent work on regularised and entropic autoencoders have begun to explore the…

Machine Learning · Computer Science 2022-03-02 Gregory A. Daly , Jonathan E. Fieldsend , Gavin Tabor

Sampling trajectories from a distribution followed by ranking them based on a specified cost function is a common approach in autonomous driving. Typically, the sampling distribution is hand-crafted (e.g a Gaussian, or a grid). Recently,…

Robotics · Computer Science 2024-04-26 Simon Idoko , Basant Sharma , Arun Kumar Singh

A stochastic filter uses a series of measurements over time to produce estimates of unknown variables based on a dynamic model. For a quantum system, such an algorithm is provided by a quantum filter, which is also known as a stochastic…

Quantum Physics · Physics 2017-07-25 Muhammad F. Emzir , Matthew J. Woolley , Ian R. Petersen

Concurrent observation technologies have made high-precision real-time data available in large quantities. Data assimilation (DA) is concerned with how to combine this data with physical models to produce accurate predictions. For…

Numerical Analysis · Mathematics 2020-08-26 Jana de Wiljes , Xin T. Tong