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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

We consider the problem of embedding a dynamic network, to obtain time-evolving vector representations of each node, which can then be used to describe changes in behaviour of individual nodes, communities, or the entire graph. Given this…

Machine Learning · Statistics 2022-01-21 Ian Gallagher , Andrew Jones , Patrick Rubin-Delanchy

Explicitly using the block structure of the unknown signal can achieve better reconstruction performance in compressive sensing. Theoretically, an unknown signal with block structure can be accurately recovered from a few number of…

Applications · Statistics 2021-06-04 Zhiyong Zhou , Jun Yu

The growing environmental footprint of artificial intelligence (AI), especially in terms of storage and computation, calls for more frugal and interpretable models. Sparse models (e.g., linear, neural networks) offer a promising solution by…

Machine Learning · Statistics 2025-09-23 Sylvain Sardy , Maxime van Cutsem , Xiaoyu Ma

In this paper, we study problem of estimating a sparse regression vector with correct support in the presence of outlier samples. The inconsistency of lasso-type methods is well known in this scenario. We propose a combinatorial version of…

Machine Learning · Computer Science 2023-06-23 Adarsh Barik , Jean Honorio

Recent research has shown growing interest in modeling hypergraphs, which capture polyadic interactions among entities beyond traditional dyadic relations. However, most existing methodologies for hypergraphs face significant limitations,…

Methodology · Statistics 2025-11-04 Shihao Wu , Gongjun Xu , Ji Zhu

Recently, SimCSE has shown the feasibility of contrastive learning in training sentence embeddings and illustrates its expressiveness in spanning an aligned and uniform embedding space. However, prior studies have shown that dense models…

Computation and Language · Computer Science 2023-11-08 Ruize An , Chen Zhang , Dawei Song

Classification models are very sensitive to data uncertainty, and finding robust classifiers that are less sensitive to data uncertainty has raised great interest in the machine learning literature. This paper aims to construct robust…

Machine Learning · Statistics 2022-03-01 Vali Asimit , Ioannis Kyriakou , Simone Santoni , Salvatore Scognamiglio , Rui Zhu

In this paper we propose and carefully evaluate a sequence labeling framework which solely utilizes sparse indicator features derived from dense distributed word representations. The proposed model obtains (near) state-of-the art…

Computation and Language · Computer Science 2016-12-22 Gábor Berend

It is now well established that sparse signal models are well suited to restoration tasks and can effectively be learned from audio, image, and video data. Recent research has been aimed at learning discriminative sparse models instead of…

Computer Vision and Pattern Recognition · Computer Science 2009-09-29 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro , Andrew Zisserman

In this paper, we propose a re-weighted elastic net (REN) model for biometric recognition. The new model is applied to data separated into geometric and color spatial components. The geometric information is extracted using a fast cartoon -…

Computer Vision and Pattern Recognition · Computer Science 2015-07-28 Juan C. Moreno , V. B. S. Prasath , Gil Santos , Hugo Proenca

We consider high-dimensional binary classification by sparse logistic regression. We propose a model/feature selection procedure based on penalized maximum likelihood with a complexity penalty on the model size and derive the non-asymptotic…

Statistics Theory · Mathematics 2018-11-20 Felix Abramovich , Vadim Grinshtein

Deep clustering against self-supervised learning is a very important and promising direction for unsupervised visual representation learning since it requires little domain knowledge to design pretext tasks. However, the key component,…

Computer Vision and Pattern Recognition · Computer Science 2020-08-21 Weijie Chen , Shiliang Pu , Di Xie , Shicai Yang , Yilu Guo , Luojun Lin

Deep latent generative models have attracted increasing attention due to the capacity of combining the strengths of deep learning and probabilistic models in an elegant way. The data representations learned with the models are often…

Machine Learning · Computer Science 2023-04-04 Zhao Xu , Daniel Onoro Rubio , Giuseppe Serra , Mathias Niepert

This paper presents a new Bayesian collaborative sparse regression method for linear unmixing of hyperspectral images. Our contribution is twofold; first, we propose a new Bayesian model for structured sparse regression in which the…

Computation · Statistics 2023-07-19 Yoann Altmann , Marcelo Pereyra , Jose Bioucas-Dias

Recently the sparse representation based classification (SRC) has been proposed for robust face recognition (FR). In SRC, the testing image is coded as a sparse linear combination of the training samples, and the representation fidelity is…

Computer Vision and Pattern Recognition · Computer Science 2015-06-04 Meng Yang , Lei Zhang , Jian Yang , David Zhang

Established methods for unsupervised representation learning such as variational autoencoders produce none or poorly calibrated uncertainty estimates making it difficult to evaluate if learned representations are stable and reliable. In…

Machine Learning · Computer Science 2022-08-24 Marco Miani , Frederik Warburg , Pablo Moreno-Muñoz , Nicke Skafte Detlefsen , Søren Hauberg

An important part of many machine learning workflows on graphs is vertex representation learning, i.e., learning a low-dimensional vector representation for each vertex in the graph. Recently, several powerful techniques for unsupervised…

Machine Learning · Computer Science 2019-01-23 Hooman Peiro Sajjad , Andrew Docherty , Yuriy Tyshetskiy

Spectral algorithms are classic approaches to clustering and community detection in networks. However, for sparse networks the standard versions of these algorithms are suboptimal, in some cases completely failing to detect communities even…

Social and Information Networks · Computer Science 2014-01-20 Florent Krzakala , Cristopher Moore , Elchanan Mossel , Joe Neeman , Allan Sly , Lenka Zdeborová , Pan Zhang

Motivated by recent work on stochastic gradient descent methods, we develop two stochastic variants of greedy algorithms for possibly non-convex optimization problems with sparsity constraints. We prove linear convergence in expectation to…

Numerical Analysis · Mathematics 2014-07-02 Nam Nguyen , Deanna Needell , Tina Woolf
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