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Variational Autoencoder is a scalable method for learning latent variable models of complex data. It employs a clear objective that can be easily optimized. However, it does not explicitly measure the quality of learned representations. We…

Machine Learning · Computer Science 2020-05-29 Andriy Serdega , Dae-Shik Kim

Phase retrieval can be expressed as one non-convex constrained optimization problem to identify one phase minimizer in the primal space. Many iterative transform techniques have been proposed to identify the minimizer, e.g., relaxed…

Optimization and Control · Mathematics 2021-12-22 Pengwen Chen

VAEs (Variational AutoEncoders) have proved to be powerful in the context of density modeling and have been used in a variety of contexts for creative purposes. In many settings, the data we model possesses continuous attributes that we…

Machine Learning · Computer Science 2017-07-18 Gaëtan Hadjeres , Frank Nielsen , François Pachet

Variational autoencoders (VAE) encode data into lower-dimensional latent vectors before decoding those vectors back to data. Once trained, one can hope to detect out-of-distribution (abnormal) latent vectors, but several issues arise when…

Machine Learning · Computer Science 2026-05-12 Alejandro Ascarate , Leo Lebrat , Rodrigo Santa Cruz , Clinton Fookes , Olivier Salvado

The cosmic microwave background power spectra are a primary window into the early universe. However, achieving interpretable, likelihood-compatible compression and fast inference under weak model assumptions remains challenging. We propose…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-03 Tian-Yang Sun , Tian-Nuo Li , He Wang , Jing-Fei Zhang , Xin Zhang

Large climate-model ensembles are computationally expensive; yet many downstream analyses would benefit from additional, statistically consistent realizations of spatiotemporal climate variables. We study a generative modeling approach for…

Machine Learning · Computer Science 2026-01-06 Jacquelyn Shelton , Przemyslaw Polewski , Alexander Robel , Matthew Hoffman , Stephen Price

In this study, an image-assisted Approximate Bayesian Computation (ABC) parameter inverse method is proposed to identify the design parameters. In the proposed method, the images are mapped to a low-dimensional latent space by Variational…

Image and Video Processing · Electrical Eng. & Systems 2019-07-09 Jiaquan Wang , Yang Zeng , Xinchao Jiang , Hu Wang , Enying Li , Guangyao Li

Detectors in next-generation high-energy physics experiments face several daunting requirements, such as high data rates, damaging radiation exposure, and stringent constraints on power, space, and latency. To address these challenges,…

Data Analysis, Statistics and Probability · Physics 2025-08-18 Alexander Yue , Haoyi Jia , Julia Gonski

Conventional magneto-static finite element analysis of electrical machine design is time-consuming and computationally expensive. Since each machine topology has a distinct set of parameters, design optimization is commonly performed…

Machine Learning · Computer Science 2022-10-05 Vivek Parekh , Dominik Flore , Sebastian Schöps

With the development of smart grids, High-Dimensional and Incomplete (HDI) Power Load Monitoring (PLM) data challenges the performance of Power Load Forecasting (PLF) models. In this paper, we propose a potential characterization model…

Machine Learning · Computer Science 2025-06-11 Boyu Xie , Tangtang Xie

Variational autoencoder (VAE) has widely been utilized for modeling data distributions because it is theoretically elegant, easy to train, and has nice manifold representations. However, when applied to image reconstruction and synthesis…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Dooseop Choi , KyoungWook Min

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

Estimation of autocorrelations and spectral densities is of fundamental importance in many fields of science, from identifying pulsar signals in astronomy to measuring heart beats in medicine. In circumstances where one is interested in…

Methodology · Statistics 2013-01-22 C. H. Fleming , J. M. Calabrese

Measurement of a physical quantity such as light intensity is an integral part of many reconstruction and decision scenarios but can be costly in terms of acquisition time, invasion of or damage to the environment and storage. Data…

Machine Learning · Computer Science 2025-02-26 Catherine F. Higham , Paul Henderson , Roderick Murray-Smith

This is a tutorial and survey paper on factor analysis, probabilistic Principal Component Analysis (PCA), variational inference, and Variational Autoencoder (VAE). These methods, which are tightly related, are dimensionality reduction and…

Machine Learning · Statistics 2022-05-25 Benyamin Ghojogh , Ali Ghodsi , Fakhri Karray , Mark Crowley

Neural networks are used for channel decoding, channel detection, channel evaluation, and resource management in multi-input and multi-output (MIMO) wireless communication systems. In this paper, we consider the problem of finding precoding…

Signal Processing · Electrical Eng. & Systems 2022-05-06 Evgeny Bobrov , Alexander Markov , Sviatoslav Panchenko , Dmitry Vetrov

Variational Autoencoders (VAEs) are well-established as a principled approach to probabilistic unsupervised learning with neural networks. Typically, an encoder network defines the parameters of a Gaussian distributed latent space from…

Machine Learning · Computer Science 2025-05-16 Alan Jeffares , Liyuan Liu

We develop Riemannian approaches to variational autoencoders (VAEs) for PDE-type ambient data with regularizing geometric latent dynamics, which we refer to as VAE-DLM, or VAEs with dynamical latent manifolds. We redevelop the VAE framework…

Machine Learning · Computer Science 2026-01-21 Andrew Gracyk

Variational autoencoders (VAEs) typically encode images into a compact latent space, reducing computational cost but introducing an optimization dilemma: a higher-dimensional latent space improves reconstruction fidelity but often hampers…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Xunzhi Xiang , Xingye Tian , Guiyu Zhang , Yabo Chen , Shaofeng Zhang , Xuebo Wang , Xin Tao , Qi Fan

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