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The power of sparse signal coding with learned dictionaries has been demonstrated in a variety of applications and fields, from signal processing to statistical inference and machine learning. However, the statistical properties of these…

Information Theory · Computer Science 2010-10-25 Ignacio Ramírez , Guillermo Sapiro

In an era of unprecedented deluge of (mostly unstructured) data, graphs are proving more and more useful, across the sciences, as a flexible abstraction to capture complex relationships between complex objects. One of the main challenges…

Disordered Systems and Neural Networks · Physics 2016-10-17 Alaa Saade

The combination of machine learning (ML) and sparsity-promoting techniques is enabling direct extraction of governing equations from data, revolutionizing computational modeling in diverse fields of science and engineering. The discovered…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Mohammad Amin Basiri , Sina Khanmohammadi

Disentangling the encodings of neural models is a fundamental aspect for improving interpretability, semantic control and downstream task performance in Natural Language Processing. Currently, most disentanglement methods are unsupervised…

Computation and Language · Computer Science 2023-02-17 Danilo S. Carvalho , Giangiacomo Mercatali , Yingji Zhang , Andre Freitas

Partial domain adaptation which assumes that the unknown target label space is a subset of the source label space has attracted much attention in computer vision. Despite recent progress, existing methods often suffer from three key…

Computer Vision and Pattern Recognition · Computer Science 2023-01-05 Aadarsh Sahoo , Rameswar Panda , Rogerio Feris , Kate Saenko , Abir Das

Sparse models are desirable for many applications across diverse domains as they can perform automatic variable selection, aid interpretability, and provide regularization. When fitting sparse models in a Bayesian framework, however,…

Statistics Theory · Mathematics 2020-10-15 Jeffrey P. Spence

Feature selection is a critical component in predictive analytics that significantly affects the prediction accuracy and interpretability of models. Intrinsic methods for feature selection are built directly into model learning, providing a…

Machine Learning · Computer Science 2024-03-19 Theodor Stoecker , Nico Hambauer , Patrick Zschech , Mathias Kraus

Estimating individual-level treatment effect from observational data is a fundamental problem in causal inference and has attracted increasing attention in the fields of education, healthcare, and public policy.In this work, we concentrate…

Machine Learning · Computer Science 2025-07-10 Hui Meng , Keping Yang , Xuyu Peng , Bo Zheng

While hidden class models of various types arise in many statistical applications, it is often difficult to establish the identifiability of their parameters. Focusing on models in which there is some structure of independence of some of…

Statistics Theory · Mathematics 2009-09-01 Elizabeth S. Allman , Catherine Matias , John A. Rhodes

In this paper we present a theoretical analysis to understand sparse filtering, a recent and effective algorithm for unsupervised learning. The aim of this research is not to show whether or how well sparse filtering works, but to…

Machine Learning · Computer Science 2021-05-25 Fabio Massimo Zennaro , Ke Chen

Domain adaptation aims to mitigate the domain gap when transferring knowledge from an existing labeled domain to a new domain. However, existing disentanglement-based methods do not fully consider separation between domain-invariant and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-23 Youshan Zhang , Brian D. Davison

We propose new methods for multivariate linear regression when the regression coefficient matrix is sparse and the error covariance matrix is dense. We assume that the error covariance matrix has equicorrelation across the response…

Methodology · Statistics 2025-08-13 Daeyoung Ham , Bradley S. Price , Adam J. Rothman

Many transformations in deep learning architectures are sparsely connected. When such transformations cannot be designed by hand, they can be learned, even through plain backpropagation, for instance in attention mechanisms. However, during…

Machine Learning · Statistics 2018-10-23 Peter Bloem

Domain shift poses a fundamental challenge in time series analysis, where models trained on source domain often fail dramatically when applied in target domain with different yet similar distributions. While current unsupervised domain…

Machine Learning · Computer Science 2025-08-07 Rongyao Cai , Ming Jin , Qingsong Wen , Kexin Zhang

We propose a novel approach to disentangle the generative factors of variation underlying a given set of observations. Our method builds upon the idea that the (unknown) low-dimensional manifold underlying the data space can be explicitly…

Machine Learning · Computer Science 2021-10-05 Marco Fumero , Luca Cosmo , Simone Melzi , Emanuele Rodolà

Joint Embedding Predictive Architectures (JEPA) have emerged as a powerful framework for learning general-purpose representations. However, these models often lack interpretability and suffer from inefficiencies due to dense embedding…

Machine Learning · Computer Science 2025-04-24 Max Hartman , Lav Varshney

Leveraging on the underlying low-dimensional structure of data, low-rank and sparse modeling approaches have achieved great success in a wide range of applications. However, in many applications the data can display structures beyond simply…

Machine Learning · Computer Science 2019-12-04 Zhao Kang , Xiao Lu , Yiwei Lu , Chong Peng , Zenglin Xu

Sparse Representation (SR) techniques encode the test samples into a sparse linear combination of all training samples and then classify the test samples into the class with the minimum residual. The classification of SR techniques depends…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Chun-Mei Feng , Yong Xu , Zuoyong Li , Jian Yang

We present a framework to define a large class of neural networks for which, by construction, training by gradient flow provably reaches arbitrarily low loss when the number of parameters grows. Distinct from the fixed-space global…

Optimization and Control · Mathematics 2025-01-13 David A. R. Robin , Kevin Scaman , Marc Lelarge

Recently, sparsity has become a key concept in various areas of applied mathematics, computer science, and electrical engineering. One application of this novel methodology is the separation of data, which is composed of two (or more)…

Numerical Analysis · Mathematics 2011-02-23 Gitta Kutyniok
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