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An overarching goal in machine learning is to build a generalizable model with few samples. To this end, overparameterization has been the subject of immense interest to explain the generalization ability of deep nets even when the size of…

Machine Learning · Computer Science 2022-01-19 Yue Sun , Adhyyan Narang , Halil Ibrahim Gulluk , Samet Oymak , Maryam Fazel

Variational Autoencoders (VAEs) are powerful generative models capable of learning compact latent representations. However, conventional VAEs often generate relatively blurry images due to their assumption of an isotropic Gaussian latent…

Computer Vision and Pattern Recognition · Computer Science 2025-04-21 Andrew Kiruluta

Variational Autoencoders (VAEs) were originally motivated (Kingma & Welling, 2014) as probabilistic generative models in which one performs approximate Bayesian inference. The proposal of $\beta$-VAEs (Higgins et al., 2017) breaks this…

Machine Learning · Statistics 2023-02-10 Tim Z. Xiao , Robert Bamler

Full characterization of the spectral behavior of generative models based on neural networks remains an open issue. Recent research has focused heavily on generative adversarial networks and the high-frequency discrepancies between real and…

Machine Learning · Computer Science 2022-01-20 Sara Björk , Jonas Nordhaug Myhre , Thomas Haugland Johansen

Variational autoencoders (VAEs) and generative adversarial networks (GANs) enjoy an intuitive connection to manifold learning: in training the decoder/generator is optimized to approximate a homeomorphism between the data distribution and…

Machine Learning · Computer Science 2020-08-28 Henry Li , Ofir Lindenbaum , Xiuyuan Cheng , Alexander Cloninger

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

Deep probabilistic generative models have achieved incredible success in many fields of application. Among such models, variational autoencoders (VAEs) have proved their ability in modeling a generative process by learning a latent…

Machine Learning · Computer Science 2022-12-16 Eleonora Grassucci , Danilo Comminiello , Aurelio Uncini

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

Accumulating substantial volumes of real-world driving data proves pivotal in the realm of trajectory forecasting for autonomous driving. Given the heavy reliance of current trajectory forecasting models on data-driven methodologies, we aim…

Computer Vision and Pattern Recognition · Computer Science 2024-08-30 Yiheng Li , Seth Z. Zhao , Chenfeng Xu , Chen Tang , Chenran Li , Mingyu Ding , Masayoshi Tomizuka , Wei Zhan

Variational Autoencoders are one of the most commonly used generative models, particularly for image data. A prominent difficulty in training VAEs is data that is supported on a lower-dimensional manifold. Recent work by Dai and Wipf (2020)…

Machine Learning · Computer Science 2022-05-19 Frederic Koehler , Viraj Mehta , Chenghui Zhou , Andrej Risteski

The paper presents the application of Variational Autoencoders (VAE) for data dimensionality reduction and explorative analysis of mass spectrometry imaging data (MSI). The results confirm that VAEs are capable of detecting the patterns…

Quantitative Methods · Quantitative Biology 2017-08-25 Paolo Inglese , James L. Alexander , Anna Mroz , Zoltan Takats , Robert Glen

Automating quality inspection with computer vision techniques is often a very data-demanding task. Specifically, supervised deep learning requires a large amount of annotated images for training. In practice, collecting and annotating such…

Computer Vision and Pattern Recognition · Computer Science 2022-02-28 Antoine Cordier , Pierre Gutierrez , Victoire Plessis

While Variational Inference (VI) is central to modern generative models like Variational Autoencoders (VAEs) and Denoising Diffusion Models (DDMs), its pedagogical treatment is split across disciplines. In statistics, VI is typically framed…

Machine Learning · Statistics 2025-10-22 Yen-Chi Chen

The ability of deep neural networks to generalize well in the overparameterized regime has become a subject of significant research interest. We show that overparameterized autoencoders exhibit memorization, a form of inductive bias that…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Adityanarayanan Radhakrishnan , Karren Yang , Mikhail Belkin , Caroline Uhler

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

The manifold hypothesis states that high-dimensional data can be modeled as lying on or near a low-dimensional, nonlinear manifold. Variational Autoencoders (VAEs) approximate this manifold by learning mappings from low-dimensional latent…

Machine Learning · Statistics 2021-03-03 Marissa C. Connor , Gregory H. Canal , Christopher J. Rozell

In recent years, deep learning based generative models, particularly Generative Adversarial Networks (GANs), Variational Autoencoders (VAEs), and Diffusion Models (DMs), have been instrumental in in generating diverse, high-quality content…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Shamim Yazdani , Akansha Singh , Nripsuta Saxena , Zichong Wang , Avash Palikhe , Deng Pan , Umapada Pal , Jie Yang , Wenbin Zhang

Recent advancements in deep learning have been primarily driven by the use of large models trained on increasingly vast datasets. While neural scaling laws have emerged to predict network performance given a specific level of computational…

Computer Vision and Pattern Recognition · Computer Science 2023-11-13 Elior Benarous , Sotiris Anagnostidis , Luca Biggio , Thomas Hofmann

Modern deep learning models generalize remarkably well in-distribution, despite being overparametrized and trained with little to no explicit regularization. Instead, current theory credits implicit regularization imposed by the choice of…

Machine Learning · Computer Science 2026-03-17 Jonathan Wenger , Beau Coker , Juraj Marusic , John P. Cunningham

Dynamical variational autoencoders (DVAEs) are a class of deep generative models with latent variables, dedicated to model time series of high-dimensional data. DVAEs can be considered as extensions of the variational autoencoder (VAE) that…

Sound · Computer Science 2022-10-04 Xiaoyu Bie , Simon Leglaive , Xavier Alameda-Pineda , Laurent Girin