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We consider the problem of approximating a subset $M$ of a Hilbert space $X$ by a low-dimensional manifold $M_n$, using samples from $M$. We propose a nonlinear approximation method where $M_n $ is defined as the range of a smooth nonlinear…

Numerical Analysis · Mathematics 2025-11-20 Antoine Bensalah , Anthony Nouy , Joel Soffo

Deep neural networks are widely used for classification. These deep models often suffer from a lack of interpretability -- they are particularly difficult to understand because of their non-linear nature. As a result, neural networks are…

Artificial Intelligence · Computer Science 2017-11-22 Oscar Li , Hao Liu , Chaofan Chen , Cynthia Rudin

Deep learning is emerging as a new paradigm for solving inverse imaging problems. However, the deep learning methods often lack the assurance of traditional physics-based methods due to the lack of physical information considerations in…

Image and Video Processing · Electrical Eng. & Systems 2020-07-20 Dongdong Chen , Mike E. Davies

Representation learning seeks to expose certain aspects of observed data in a learned representation that's amenable to downstream tasks like classification. For instance, a good representation for 2D images might be one that describes only…

Machine Learning · Computer Science 2017-03-07 Xi Chen , Diederik P. Kingma , Tim Salimans , Yan Duan , Prafulla Dhariwal , John Schulman , Ilya Sutskever , Pieter Abbeel

Supervised learning in function spaces is an emerging area of machine learning research with applications to the prediction of complex physical systems such as fluid flows, solid mechanics, and climate modeling. By directly learning maps…

Machine Learning · Computer Science 2022-06-09 Jacob H. Seidman , Georgios Kissas , Paris Perdikaris , George J. Pappas

Autoencoders are popular among neural-network-based matrix completion models due to their ability to retrieve potential latent factors from the partially observed matrices. Nevertheless, when training data is scarce their performance is…

Machine Learning · Computer Science 2018-07-06 Duc Minh Nguyen , Evaggelia Tsiligianni , Robert Calderbank , Nikos Deligiannis

Nonlinear dimensionality reduction methods provide a valuable means to visualize and interpret high-dimensional data. However, many popular methods can fail dramatically, even on simple two-dimensional manifolds, due to problems such as…

Machine Learning · Statistics 2020-07-08 Daniel Ting , Michael I. Jordan

We consider the task of unsupervised extraction of meaningful latent representations of speech by applying autoencoding neural networks to speech waveforms. The goal is to learn a representation able to capture high level semantic content…

Machine Learning · Computer Science 2019-09-12 Jan Chorowski , Ron J. Weiss , Samy Bengio , Aäron van den Oord

Autoencoders have seen wide success in domains ranging from feature selection to information retrieval. Despite this success, designing an autoencoder for a given task remains a challenging undertaking due to the lack of firm intuition on…

Neural and Evolutionary Computing · Computer Science 2020-04-17 Jeff Hajewski , Suely Oliveira , Xiaoyu Xing

We study the problem of how to build a deep learning representation for 3D shape. Deep learning has shown to be very effective in variety of visual applications, such as image classification and object detection. However, it has not been…

Computer Vision and Pattern Recognition · Computer Science 2014-09-26 Zhuotun Zhu , Xinggang Wang , Song Bai , Cong Yao , Xiang Bai

Conformal Autoencoders are a neural network architecture that imposes orthogonality conditions between the gradients of latent variables to obtain disentangled representations of data. In this work we show that orthogonality relations…

Machine Learning · Computer Science 2025-07-14 George A. Kevrekidis , Zan Ahmad , Mauro Maggioni , Soledad Villar , Yannis G. Kevrekidis

This paper presents a novel framework for automatic speech-driven gesture generation, applicable to human-agent interaction including both virtual agents and robots. Specifically, we extend recent deep-learning-based, data-driven methods…

Human-Computer Interaction · Computer Science 2019-06-12 Taras Kucherenko , Dai Hasegawa , Gustav Eje Henter , Naoshi Kaneko , Hedvig Kjellström

Image synthesis is a core problem in modern deep learning, and many recent architectures such as autoencoders and Generative Adversarial networks produce spectacular results on highly complex data, such as images of faces or landscapes.…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Alasdair Newson , Andrés Almansa , Yann Gousseau , Saïd Ladjal

With the recent successful adaptation of transformers to the vision domain, particularly when trained in a self-supervised fashion, it has been shown that vision transformers can learn impressive object-reasoning-like behaviour and features…

Computer Vision and Pattern Recognition · Computer Science 2022-10-26 Oscar Vikström , Alexander Ilin

Equivariant neural networks, whose hidden features transform according to representations of a group G acting on the data, exhibit training efficiency and an improved generalisation performance. In this work, we extend group invariant and…

Machine Learning · Computer Science 2024-04-15 Robin Winter , Marco Bertolini , Tuan Le , Frank Noé , Djork-Arné Clevert

Diffusion probabilistic models (DPMs) have achieved remarkable quality in image generation that rivals GANs'. But unlike GANs, DPMs use a set of latent variables that lack semantic meaning and cannot serve as a useful representation for…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Konpat Preechakul , Nattanat Chatthee , Suttisak Wizadwongsa , Supasorn Suwajanakorn

We propose a learned-structured unfolding neural network for the problem of compressive sparse multichannel blind-deconvolution. In this problem, each channel's measurements are given as convolution of a common source signal and sparse…

Signal Processing · Electrical Eng. & Systems 2021-02-15 Bahareh Tolooshams , Satish Mulleti , Demba Ba , Yonina C. Eldar

Protein function is inherently linked to its localization within the cell, and fluorescent microscopy data is an indispensable resource for learning representations of proteins. Despite major developments in molecular representation…

Quantitative Methods · Quantitative Biology 2022-05-25 Anastasia Razdaibiedina , Alexander Brechalov

Recently, deep clustering methods have gained momentum because of the high representational power of deep neural networks (DNNs) such as autoencoder. The key idea is that representation learning and clustering can reinforce each other: Good…

Machine Learning · Computer Science 2021-10-01 Wengang Guo , Kaiyan Lin , Wei Ye

Unsupervised pre-training was a critical technique for training deep neural networks years ago. With sufficient labeled data and modern training techniques, it is possible to train very deep neural networks from scratch in a purely…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Jianfeng Dong , Xiao-Jiao Mao , Chunhua Shen , Yu-Bin Yang