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A new form of variational autoencoder (VAE) is developed, in which the joint distribution of data and codes is considered in two (symmetric) forms: ($i$) from observed data fed through the encoder to yield codes, and ($ii$) from latent…

Machine Learning · Computer Science 2017-11-21 Yunchen Pu , Weiyao Wang , Ricardo Henao , Liqun Chen , Zhe Gan , Chunyuan Li , Lawrence Carin

Objective: This paper investigates how generative models, trained on ground-truth images, can be used \changes{as} priors for inverse problems, penalizing reconstructions far from images the generator can produce. The aim is that learned…

Image and Video Processing · Electrical Eng. & Systems 2023-08-07 Margaret Duff , Ivor J. A. Simpson , Matthias J. Ehrhardt , Neill D. F. Campbell

Generative modeling and self-supervised learning have in recent years made great strides towards learning from data in a completely unsupervised way. There is still however an open area of investigation into guiding a neural network to…

Machine Learning · Computer Science 2023-05-17 Vaishnavi Patil , Matthew Evanusa , Joseph JaJa

Metamaterials are emerging as a new paradigmatic material system to render unprecedented and tailorable properties for a wide variety of engineering applications. However, the inverse design of metamaterial and its multiscale system is…

Computational Engineering, Finance, and Science · Computer Science 2020-09-17 Liwei Wang , Yu-Chin Chan , Faez Ahmed , Zhao Liu , Ping Zhu , Wei Chen

The ability to recognize objects despite there being differences in appearance, known as Core Object Recognition, forms a critical part of human perception. While it is understood that the brain accomplishes Core Object Recognition through…

Machine Learning · Computer Science 2020-05-15 Harshvardhan Sikka

Vector Quantized Variational Autoencoders (VQ-VAEs) are fundamental to modern generative modeling, yet they often suffer from training instability and "codebook collapse" due to the inherent coupling of representation learning and discrete…

Machine Learning · Computer Science 2026-02-20 Linwei Zhai , Han Ding , Mingzhi Lin , Cui Zhao , Fei Wang , Ge Wang , Wang Zhi , Wei Xi

Machine learning methods often need a large amount of labeled training data. Since the training data is assumed to be the ground truth, outliers can severely degrade learned representations and performance of trained models. Here we apply…

Machine Learning · Statistics 2019-12-24 Haleh Akrami , Anand A. Joshi , Jian Li , Sergul Aydore , Richard M. Leahy

In end-to-end optimized learned image compression, it is standard practice to use a convolutional variational autoencoder with generalized divisive normalization (GDN) to transform images into a latent space. Recently, Operational Neural…

Image and Video Processing · Electrical Eng. & Systems 2021-05-31 M. Akın Yılmaz , Onur Keleş , Hilal Güven , A. Murat Tekalp , Junaid Malik , Serkan Kıranyaz

3D geometric contents are becoming increasingly popular. In this paper, we study the problem of analyzing deforming 3D meshes using deep neural networks. Deforming 3D meshes are flexible to represent 3D animation sequences as well as…

Graphics · Computer Science 2018-03-30 Qingyang Tan , Lin Gao , Yu-Kun Lai , Shihong Xia

Audio autoencoders learn useful, compressed audio representations, but their non-linear latent spaces prevent intuitive algebraic manipulation such as mixing or scaling. We introduce a simple training methodology to induce linearity in a…

Sound · Computer Science 2026-01-29 Bernardo Torres , Manuel Moussallam , Gabriel Meseguer-Brocal

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

The variational autoencoder (VAE) framework is a popular option for training unsupervised generative models, featuring ease of training and latent representation of data. The objective function of VAE does not guarantee to achieve the…

Machine Learning · Computer Science 2019-04-25 Jason Chou

Does a Variational AutoEncoder (VAE) consistently encode typical samples generated from its decoder? This paper shows that the perhaps surprising answer to this question is `No'; a (nominally trained) VAE does not necessarily amortize…

Machine Learning · Computer Science 2020-12-08 A. Taylan Cemgil , Sumedh Ghaisas , Krishnamurthy Dvijotham , Sven Gowal , Pushmeet Kohli

Inverse problems often involve matching observational data using a physical model that takes a large number of parameters as input. These problems tend to be under-constrained and require regularization to impose additional structure on the…

Computational Physics · Physics 2019-06-07 Daniel O'Malley , John K. Golden , Velimir V. Vesselinov

$\beta$-VAE is a follow-up technique to variational autoencoders that proposes special weighting of the KL divergence term in the VAE loss to obtain disentangled representations. Unsupervised learning is known to be brittle even on toy…

Machine Learning · Computer Science 2022-01-03 Miroslav Fil , Munib Mesinovic , Matthew Morris , Jonas Wildberger

Learning disentangled representations, where distinct factors of variation are captured by independent latent variables, is a central goal in machine learning. The dominant approach has been the Variational Autoencoder (VAE) framework,…

Machine Learning · Computer Science 2025-10-15 Quentin Fruytier , Akshay Malhotra , Shahab Hamidi-Rad , Aditya Sant , Aryan Mokhtari , Sujay Sanghavi

Variational Auto-Encoders (VAEs) are capable of learning latent representations for high dimensional data. However, due to the i.i.d. assumption, VAEs only optimize the singleton variational distributions and fail to account for the…

Machine Learning · Computer Science 2020-04-20 Da Tang , Dawen Liang , Tony Jebara , Nicholas Ruozzi

Variational Autoencoders (VAEs) have become a cornerstone in generative modeling and representation learning within machine learning. This paper explores a nuanced aspect of VAEs, focusing on interpreting the Kullback-Leibler (KL)…

Machine Learning · Computer Science 2024-06-25 Mariano Rivera

This paper reviews the novel concept of controllable variational autoencoder (ControlVAE), discusses its parameter tuning to meet application needs, derives its key analytic properties, and offers useful extensions and applications.…

Machine Learning · Computer Science 2020-11-04 Huajie Shao , Zhisheng Xiao , Shuochao Yao , Aston Zhang , Shengzhong Liu , Tarek Abdelzaher

The reconstruction loss and the Kullback-Leibler divergence (KLD) loss in a variational autoencoder (VAE) often play antagonistic roles, and tuning the weight of the KLD loss in $\beta$-VAE to achieve a balance between the two losses is a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-30 Jianning Li , Jana Fragemann , Seyed-Ahmad Ahmadi , Jens Kleesiek , Jan Egger