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Autoencoders have emerged as a useful framework for unsupervised learning of internal representations, and a wide variety of apparently conceptually disparate regularization techniques have been proposed to generate useful features. Here we…

Neural and Evolutionary Computing · Computer Science 2014-06-10 Ben Poole , Jascha Sohl-Dickstein , Surya Ganguli

We address the problem of denoising data from a Gaussian mixture using a two-layer non-linear autoencoder with tied weights and a skip connection. We consider the high-dimensional limit where the number of training samples and the input…

Machine Learning · Computer Science 2024-07-22 Hugo Cui , Lenka Zdeborová

The multivariate linear regression model with shuffled data and additive Gaussian noise arises in various correspondence estimation and matching problems. Focusing on the denoising aspect of this problem, we provide a characterization the…

Machine Learning · Statistics 2017-04-26 Ashwin Pananjady , Martin J. Wainwright , Thomas A. Courtade

The performance of graph representation learning is affected by the quality of graph input. While existing research usually pursues a globally smoothed graph embedding, we believe the rarely observed anomalies are as well harmful to an…

Machine Learning · Computer Science 2023-08-14 Bingxin Zhou , Yuanhong Jiang , Yu Guang Wang , Jingwei Liang , Junbin Gao , Shirui Pan , Xiaoqun Zhang

Neural autoencoders underpin generative models. Practical, large-scale use of neural autoencoders for generative modeling necessitates fast encoding, low latent rates, and a single model across representations. Existing approaches are…

Sound · Computer Science 2026-02-23 Jonah Casebeer , Ge Zhu , Zhepei Wang , Nicholas J. Bryan

We study the problem of corrupted sensing, a generalization of compressed sensing in which one aims to recover a signal from a collection of corrupted or unreliable measurements. While an arbitrary signal cannot be recovered in the face of…

Information Theory · Computer Science 2014-02-05 Rina Foygel , Lester Mackey

Deep neural networks achieve high prediction accuracy when the train and test distributions coincide. In practice though, various types of corruptions occur which deviate from this setup and cause severe performance degradations. Few…

Machine Learning · Computer Science 2023-05-30 Theodoros Tsiligkaridis , Athanasios Tsiligkaridis

Graph Neural Networks (GNNs), which aggregate features from neighbors, are widely used for graph-structured data processing due to their powerful representation learning capabilities. It is generally believed that GNNs can implicitly remove…

Machine Learning · Computer Science 2022-09-30 Songtao Liu , Rex Ying , Hanze Dong , Lu Lin , Jinghui Chen , Dinghao Wu

An additive noise channel is considered, in which the distribution of the noise is nonparametric and unknown. The problem of learning encoders and decoders based on noise samples is considered. For uncoded communication systems, the problem…

Information Theory · Computer Science 2021-11-17 Nir Weinberger

With the rapid growth of graph-structured data in critical domains, unsupervised graph-level anomaly detection (UGAD) has become a pivotal task. UGAD seeks to identify entire graphs that deviate from normal behavioral patterns. However,…

Machine Learning · Computer Science 2025-11-07 Qingfeng Chen , Haojin Zeng , Jingyi Jie , Shichao Zhang , Debo Cheng

Dealing with missing data in data analysis is inevitable. Although powerful imputation methods that address this problem exist, there is still much room for improvement. In this study, we examined single imputation based on deep…

Machine Learning · Computer Science 2020-04-07 Najmeh Abiri , Björn Linse , Patrik Edén , Mattias Ohlsson

For reliable transmission across a noisy communication channel, classical results from information theory show that it is asymptotically optimal to separate out the source and channel coding processes. However, this decomposition can fall…

Machine Learning · Computer Science 2019-05-15 Kristy Choi , Kedar Tatwawadi , Aditya Grover , Tsachy Weissman , Stefano Ermon

We present a representation learning method that learns features at multiple different levels of scale. Working within the unsupervised framework of denoising autoencoders, we observe that when the input is heavily corrupted during…

Machine Learning · Computer Science 2015-04-14 Krzysztof J. Geras , Charles Sutton

Compression is at the heart of effective representation learning. However, lossy compression is typically achieved through simple parametric models like Gaussian noise to preserve analytic tractability, and the limitations this imposes on…

Machine Learning · Computer Science 2019-11-15 Rob Brekelmans , Daniel Moyer , Aram Galstyan , Greg Ver Steeg

Sparse auto-encoders are useful for extracting low-dimensional representations from high-dimensional data. However, their performance degrades sharply when the input noise at test time differs from the noise employed during training. This…

Machine Learning · Computer Science 2024-07-01 Nelson Goldenstein , Jeremias Sulam , Yaniv Romano

Auto-encoder is a special kind of neural network based on reconstruction. De-noising auto-encoder (DAE) is an improved auto-encoder which is robust to the input by corrupting the original data first and then reconstructing the original…

Machine Learning · Computer Science 2014-04-24 Fu-qiang Chen , Yan Wu , Guo-dong Zhao , Jun-ming Zhang , Ming Zhu , Jing Bai

We consider a denoiser that reconstructs a stationary ergodic source by lossily compressing samples of the source observed through a memoryless noisy channel. Prior work on compression-based denoising has been limited to additive noise…

Information Theory · Computer Science 2025-12-17 Dan Song , Ayfer Özgür , Tsachy Weissman

We present the discriminative recurrent sparse auto-encoder model, comprising a recurrent encoder of rectified linear units, unrolled for a fixed number of iterations, and connected to two linear decoders that reconstruct the input and…

Machine Learning · Computer Science 2013-03-20 Jason Tyler Rolfe , Yann LeCun

We apply basic statistical reasoning to signal reconstruction by machine learning -- learning to map corrupted observations to clean signals -- with a simple and powerful conclusion: it is possible to learn to restore images by only looking…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Jaakko Lehtinen , Jacob Munkberg , Jon Hasselgren , Samuli Laine , Tero Karras , Miika Aittala , Timo Aila

Explainable machine learning has attracted much interest in the community where the stakes are high. Counterfactual explanations methods have become an important tool in explaining a black-box model. The recent advances have leveraged the…

Machine Learning · Computer Science 2025-09-03 Wei Zhang , Brian Barr , John Paisley