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This paper provides an extension of compressed sensing which bridges a substantial gap between existing theory and its current use in real-world applications. It introduces a mathematical framework that generalizes the three standard…

Information Theory · Computer Science 2014-06-24 Ben Adcock , Anders C. Hansen , Clarice Poon , Bogdan Roman

Most of compressed sensing (CS) theory to date is focused on incoherent sensing, that is, columns from the sensing matrix are highly uncorrelated. However, sensing systems with naturally occurring correlations arise in many applications,…

Information Theory · Computer Science 2017-08-29 Tobias Birnbaum , Yonina C. Eldar , Deanna Needell

We propose a new approach to linear ill-posed inverse problems. Our algorithm alternates between enforcing two constraints: the measurements and the statistical correlation structure in some transformed space. We use a non-linear multiscale…

Computational Engineering, Finance, and Science · Computer Science 2018-12-04 Ivan Dokmanić , Joan Bruna , Stéphane Mallat , Maarten de Hoop

In some of object recognition problems, labeled data may not be available for all categories. Zero-shot learning utilizes auxiliary information (also called signatures) describing each category in order to find a classifier that can…

Computer Vision and Pattern Recognition · Computer Science 2016-06-01 Seyed Mohsen Shojaee , Mahdieh Soleymani Baghshah

Unsupervised domain adaptation person re-identification (Re-ID) aims to identify pedestrian images within an unlabeled target domain with an auxiliary labeled source-domain dataset. Many existing works attempt to recover reliable identity…

Computer Vision and Pattern Recognition · Computer Science 2023-01-31 Qiong Wu , Jiahan Li , Pingyang Dai , Qixiang Ye , Liujuan Cao , Yongjian Wu , Rongrong Ji

We study phase retrieval from magnitude measurements of an unknown signal as an algebraic estimation problem. Indeed, phase retrieval from rank-one and more general linear measurements can be treated in an algebraic way. It is verified that…

Functional Analysis · Mathematics 2014-02-18 Franz J Király , Martin Ehler

Compressed sensing techniques enable efficient acquisition and recovery of sparse, high-dimensional data signals via low-dimensional projections. In this work, we propose Uncertainty Autoencoders, a learning framework for unsupervised…

Machine Learning · Statistics 2019-04-15 Aditya Grover , Stefano Ermon

This article extends the concept of compressed sensing to signals that are not sparse in an orthonormal basis but rather in a redundant dictionary. It is shown that a matrix, which is a composition of a random matrix of certain type and a…

Probability · Mathematics 2010-11-10 Holger Rauhut , Karin Schnass , Pierre Vandergheynst

Reconstructing continuous signals from a small number of discrete samples is a fundamental problem across science and engineering. In practice, we are often interested in signals with 'simple' Fourier structure, such as bandlimited,…

Data Structures and Algorithms · Computer Science 2018-12-24 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

Labeled sequence transduction is a task of transforming one sequence into another sequence that satisfies desiderata specified by a set of labels. In this paper we propose multi-space variational encoder-decoders, a new model for labeled…

Computation and Language · Computer Science 2019-10-08 Chunting Zhou , Graham Neubig

The development of signal unmixing algorithms is essential for leveraging multimodal datasets acquired through a wide array of scientific imaging technologies, including hyperspectral or time-resolved acquisitions. In experimental physics,…

In anomalous sound detection, the discriminative method has demonstrated superior performance. This approach constructs a discriminative feature space through the classification of the meta-information labels for normal sounds. This feature…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-17 Takuya Fujimura , Ibuki Kuroyanagi , Tomoki Toda

Contrastive learning methods enforce label distance relationships in feature space to improve representation capability for regression models. However, these methods highly depend on label information to correctly recover ordinal…

Machine Learning · Computer Science 2025-12-11 Ce Wang , Weihang Dai , Hanru Bai , Xiaomeng Li

Emerging applications of sensor networks for detection sometimes suggest that classical problems ought be revisited under new assumptions. This is the case of binary hypothesis testing with independent - but not necessarily identically…

Information Theory · Computer Science 2019-03-27 Stefano Marano , Peter Willett

Semi-supervised learning (SSL) can reduce the need for large labelled datasets by incorporating unlabelled data into the training. This is particularly interesting for semantic segmentation, where labelling data is very costly and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 Sebastian Scherer , Robin Schön , Rainer Lienhart

Compressed sensing is a technique for recovering a high-dimensional signal from lower-dimensional data, whose components represent partial information about the signal, utilizing prior knowledge on the sparsity of the signal. For further…

Information Theory · Computer Science 2014-02-18 Yingying Xu , Yoshiyuki Kabashima

This paper demonstrates how new principles of compressed sensing, namely asymptotic incoherence, asymptotic sparsity and multilevel sampling, can be utilised to better understand underlying phenomena in practical compressed sensing and…

Functional Analysis · Mathematics 2014-07-08 Bogdan Roman , Anders Hansen , Ben Adcock

Semantic segmentation is one of the most challenging tasks in computer vision. However, in many applications, a frequent obstacle is the lack of labeled images, due to the high cost of pixel-level labeling. In this scenario, it makes sense…

Computer Vision and Pattern Recognition · Computer Science 2023-02-21 Adrian Peláez-Vegas , Pablo Mesejo , Julián Luengo

The recent direction of unpaired image-to-image translation is on one hand very exciting as it alleviates the big burden in obtaining label-intensive pixel-to-pixel supervision, but it is on the other hand not fully satisfactory due to the…

Computer Vision and Pattern Recognition · Computer Science 2019-02-27 Rui Zhang , Tomas Pfister , Jia Li

Learning to generalise from limited data is a fundamental challenge for both artificial and biological systems. A common strategy is to extract reusable structure from abundant unlabelled data, enabling efficient adaptation to new tasks…

Machine Learning · Computer Science 2026-05-20 Valentina Njaradi , Clémentine Dominé , Rachel Swanson , Marco Mondelli , Andrew Saxe
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