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In recent years, a large amount of multi-disciplinary research has been conducted on sparse models and their applications. In statistics and machine learning, the sparsity principle is used to perform model selection---that is,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-09 Julien Mairal , Francis Bach , Jean Ponce

This paper introduces an efficient sparse recovery approach for Polynomial Chaos (PC) expansions, which promotes the sparsity by breaking the dimensionality of the problem. The proposed algorithm incrementally explores sub-dimensional…

Computation · Statistics 2017-04-05 Negin Alemazkoor , Hadi Meidani

This paper addresses the problem of face recognition when there is only few, or even only a single, labeled examples of the face that we wish to recognize. Moreover, these examples are typically corrupted by nuisance variables, both linear…

Computer Vision and Pattern Recognition · Computer Science 2017-04-26 Yuan Gao , Jiayi Ma , Alan L. Yuille

The most effective dimensionality reduction procedures produce interpretable features from the raw input space while also providing good performance for downstream supervised learning tasks. For many methods, this requires optimizing one or…

Machine Learning · Computer Science 2023-02-22 Leland Barnard , Farwa Ali , Hugo Botha , David T. Jones

We propose a new sparsity-smoothness penalty for high-dimensional generalized additive models. The combination of sparsity and smoothness is crucial for mathematical theory as well as performance for finite-sample data. We present a…

Machine Learning · Statistics 2009-11-18 Lukas Meier , Sara van de Geer , Peter Bühlmann

Regression with sparse inputs is a common theme for large scale models. Optimizing the underlying linear algebra for sparse inputs allows such models to be estimated faster. At the same time, centering the inputs has benefits in improving…

Computation · Statistics 2019-10-30 Jeffrey Wong

Discovering and clustering subspaces in high-dimensional data is a fundamental problem of machine learning with a wide range of applications in data mining, computer vision, and pattern recognition. Earlier methods divided the problem into…

Machine Learning · Statistics 2018-08-30 Maryam Jaberi , Marianna Pensky , Hassan Foroosh

Sampling strategies have been widely applied in many recommendation systems to accelerate model learning from implicit feedback data. A typical strategy is to draw negative instances with uniform distribution, which however will severely…

Information Retrieval · Computer Science 2020-11-17 Jiawei Chen , Chengquan Jiang , Can Wang , Sheng Zhou , Yan Feng , Chun Chen , Martin Ester , Xiangnan He

The popular Lasso approach for sparse estimation can be derived via marginalization of a joint density associated with a particular stochastic model. A different marginalization of the same probabilistic model leads to a different…

Machine Learning · Statistics 2013-02-28 Aleksandr Y. Aravkin , James V. Burke , Alessandro Chiuso , Gianluigi Pillonetto

Industry-scale recommender systems face a core challenge: representing entities with high cardinality, such as users or items, using dense embeddings that must be accessible during both training and inference. However, as embedding sizes…

Information Retrieval · Computer Science 2025-05-19 Petr Kasalický , Martin Spišák , Vojtěch Vančura , Daniel Bohuněk , Rodrigo Alves , Pavel Kordík

Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

Information Theory · Computer Science 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut

Recently, it has been observed that when representations are learnt in a way that encourages sparsity, improved performance is obtained on classification tasks. These methods involve combinations of activation functions, sampling steps and…

Machine Learning · Computer Science 2014-03-25 Alireza Makhzani , Brendan Frey

This study is about inducing classifiers using data that is imbalanced, with a minority class being under-represented in relation to the majority classes. The first section of this research focuses on the main characteristics of data that…

Machine Learning · Computer Science 2022-10-25 Shivaditya Shivganesh , Nitin Narayanan N , Pranav Murali , Ajaykumar M

Although sparse training has been successfully used in various resource-limited deep learning tasks to save memory, accelerate training, and reduce inference time, the reliability of the produced sparse models remains unexplored. Previous…

Machine Learning · Computer Science 2023-03-02 Bowen Lei , Ruqi Zhang , Dongkuan Xu , Bani Mallick

Contrastive learning is among the most successful methods for visual representation learning, and its performance can be further improved by jointly performing clustering on the learned representations. However, existing methods for joint…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Shunjie-Fabian Zheng , JaeEun Nam , Emilio Dorigatti , Bernd Bischl , Shekoofeh Azizi , Mina Rezaei

Sparse representations have been shown to be useful in deep reinforcement learning for mitigating catastrophic interference and improving the performance of agents in terms of cumulative reward. Previous results were based on a two step…

Machine Learning · Computer Science 2019-12-10 J. Fernando Hernandez-Garcia , Richard S. Sutton

Sparse representation of astronomical images is discussed. It is shown that a significant gain in sparsity is achieved when particular mixed dictionaries are used for approximating these types of images with greedy selection strategies.…

Mathematical Physics · Physics 2015-06-11 Laura Rebollo-Neira , James Bowley

In this thesis we discuss machine learning methods performing automated variable selection for learning sparse predictive models. There are multiple reasons for promoting sparsity in the predictive models. By relying on a limited set of…

Machine Learning · Computer Science 2019-03-27 Magda Gregorova

Image classification is a challenging problem for computer in reality. Large numbers of methods can achieve satisfying performances with sufficient labeled images. However, labeled images are still highly limited for certain image…

Computer Vision and Pattern Recognition · Computer Science 2020-11-12 Hongfeng Li

Recent studies have demonstrated advantages of information fusion based on sparsity models for multimodal classification. Among several sparsity models, tree-structured sparsity provides a flexible framework for extraction of…

Computer Vision and Pattern Recognition · Computer Science 2015-02-04 Soheil Bahrampour , Asok Ray , Nasser M. Nasrabadi , Kenneth W. Jenkins