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There are many problems in physics, biology, and other natural sciences in which symbolic regression can provide valuable insights and discover new laws of nature. A widespread Deep Neural Networks do not provide interpretable solutions.…

Machine Learning · Computer Science 2023-01-18 Sergei Popov , Mikhail Lazarev , Vladislav Belavin , Denis Derkach , Andrey Ustyuzhanin

Bayesian optimisation in the latent space of a Variational AutoEncoder (VAE) is a powerful framework for optimisation tasks over complex structured domains, such as the space of scientifically interesting molecules. However, existing…

Machine Learning · Computer Science 2025-07-08 Henry B. Moss , Sebastian W. Ober , Tom Diethe

Image generative models can learn the distributions of the training data and consequently generate examples by sampling from these distributions. However, when the training dataset is corrupted with outliers, generative models will likely…

Machine Learning · Computer Science 2022-09-21 Chieh-Hsin Lai , Dongmian Zou , Gilad Lerman

Materials informatics (MI), which uses artificial intelligence and data analysis techniques to improve the efficiency of materials development, is attracting increasing interest from industry. One of its main applications is the rapid…

Machine Learning · Computer Science 2023-02-07 Yoshihiro Osakabe , Akinori Asahara

VAEs, or variational autoencoders, are autoencoders that explicitly learn the distribution of the input image space rather than assuming no prior information about the distribution. This allows it to classify similar samples close to each…

Machine Learning · Computer Science 2023-02-08 Fareed Sheriff , Sameer Pai

Deep Generative Networks (DGNs) with probabilistic modeling of their output and latent space are currently trained via Variational Autoencoders (VAEs). In the absence of a known analytical form for the posterior and likelihood expectation,…

Machine Learning · Computer Science 2020-06-18 Randall Balestriero , Sebastien Paris , Richard G. Baraniuk

We introduce a variational Bayesian neural network where the parameters are governed via a probability distribution on random matrices. Specifically, we employ a matrix variate Gaussian \cite{gupta1999matrix} parameter posterior…

Machine Learning · Statistics 2016-06-24 Christos Louizos , Max Welling

We consider the problem of learning Variational Autoencoders (VAEs), i.e., a type of deep generative model, from data with missing values. Such data is omnipresent in real-world applications of machine learning because complete data is…

Machine Learning · Computer Science 2023-10-26 Timur Sudak , Sebastian Tschiatschek

People can easily imagine the potential sound while seeing an event. This natural synchronization between audio and visual signals reveals their intrinsic correlations. To this end, we propose to learn the audio-visual correlations from the…

Computer Vision and Pattern Recognition · Computer Science 2021-02-16 Ye Zhu , Yu Wu , Hugo Latapie , Yi Yang , Yan Yan

The Variational Auto-Encoder (VAE) is a simple, efficient, and popular deep maximum likelihood model. Though usage of VAEs is widespread, the derivation of the VAE is not as widely understood. In this tutorial, we will provide an overview…

Machine Learning · Computer Science 2020-07-02 Ronald Yu

Graph autoencoders are efficient at embedding graph-based data sets. Most graph autoencoder architectures have shallow depths which limits their ability to capture meaningful relations between nodes separated by multi-hops. In this paper,…

Machine Learning · Computer Science 2022-08-08 Indrit Nallbani , Reyhan Kevser Keser , Aydin Ayanzadeh , Nurullah Çalık , Behçet Uğur Töreyin

The Variational Autoencoder (VAE) is a powerful deep generative model that is now extensively used to represent high-dimensional complex data via a low-dimensional latent space learned in an unsupervised manner. In the original VAE model,…

Sound · Computer Science 2021-06-15 Xiaoyu Bie , Laurent Girin , Simon Leglaive , Thomas Hueber , Xavier Alameda-Pineda

Learning interpretable and disentangled representations of data is a key topic in machine learning research. Variational Autoencoder (VAE) is a scalable method for learning directed latent variable models of complex data. It employs a clear…

Machine Learning · Computer Science 2020-06-04 Andriy Serdega , Dae-Shik Kim

In recent years, the field of machine learning has made phenomenal progress in the pursuit of simulating real-world data generation processes. One notable example of such success is the variational autoencoder (VAE). In this work, with a…

Machine Learning · Statistics 2021-12-30 Hwan Goh , Sheroze Sheriffdeen , Jonathan Wittmer , Tan Bui-Thanh

Colorization is an ambiguous problem, with multiple viable colorizations for a single grey-level image. However, previous methods only produce the single most probable colorization. Our goal is to model the diversity intrinsic to the…

Computer Vision and Pattern Recognition · Computer Science 2017-04-28 Aditya Deshpande , Jiajun Lu , Mao-Chuang Yeh , Min Jin Chong , David Forsyth

We introduce a Deep Kernel Learning Variational Autoencoder (VAE-DKL) framework that integrates the generative power of a Variational Autoencoder (VAE) with the predictive nature of Deep Kernel Learning (DKL). The VAE learns a latent…

Machine Learning · Computer Science 2025-03-06 Boris N. Slautin , Utkarsh Pratiush , Doru C. Lupascu , Maxim A. Ziatdinov , Sergei V. Kalinin

Variational autoencoder (VAE) is a widely used generative model for learning latent representations. Burda et al. in their seminal paper showed that learning capacity of VAE is limited by over-pruning. It is a phenomenon where a significant…

Machine Learning · Computer Science 2020-08-10 Rayyan Ahmad Khan , Muhammad Umer Anwaar , Martin Kleinsteuber

We present VAEL, a neuro-symbolic generative model integrating variational autoencoders (VAE) with the reasoning capabilities of probabilistic logic (L) programming. Besides standard latent subsymbolic variables, our model exploits a…

Programming Languages · Computer Science 2022-05-26 Eleonora Misino , Giuseppe Marra , Emanuele Sansone

Building a scalable machine learning system for unsupervised anomaly detection via representation learning is highly desirable. One of the prevalent methods is using a reconstruction error from variational autoencoder (VAE) via maximizing…

Machine Learning · Computer Science 2020-05-08 Seonho Park , George Adosoglou , Panos M. Pardalos

Among the wide variety of image generative models, two models stand out: Variational Auto Encoders (VAE) and Generative Adversarial Networks (GAN). GANs can produce realistic images, but they suffer from mode collapse and do not provide…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Antoine Plumerault , Hervé Le Borgne , Céline Hudelot