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Sparse PCA provides a linear combination of small number of features that maximizes variance across data. Although Sparse PCA has apparent advantages compared to PCA, such as better interpretability, it is generally thought to be…

Machine Learning · Statistics 2012-10-29 Youwei Zhang , Laurent El Ghaoui

Neural network sparsification is a promising avenue to save computational time and memory costs, especially in an age where many successful AI models are becoming too large to na\"ively deploy on consumer hardware. While much work has…

Machine Learning · Computer Science 2024-11-06 Rayen Dhahri , Alexander Immer , Betrand Charpentier , Stephan Günnemann , Vincent Fortuin

In the past decade, sparse principal component analysis has emerged as an archetypal problem for illustrating statistical-computational tradeoffs. This trend has largely been driven by a line of research aiming to characterize the…

Computational Complexity · Computer Science 2019-02-21 Matthew Brennan , Guy Bresler

State-of-the-art deep neural network (DNN) pruning techniques, applied one-shot before training starts, evaluate sparse architectures with the help of a single criterion -- called pruning score. Pruning weights based on a solitary score…

Machine Learning · Computer Science 2022-03-16 Paul Wimmer , Jens Mehnert , Alexandru Condurache

We present Spartan, a method for training sparse neural network models with a predetermined level of sparsity. Spartan is based on a combination of two techniques: (1) soft top-k masking of low-magnitude parameters via a regularized optimal…

Machine Learning · Computer Science 2022-10-18 Kai Sheng Tai , Taipeng Tian , Ser-Nam Lim

The dueling bandit problem is a variation of the classical multi-armed bandit in which the allowable actions are noisy comparisons between pairs of arms. This paper focuses on a new approach for finding the "best" arm according to the Borda…

Machine Learning · Statistics 2015-02-03 Kevin Jamieson , Sumeet Katariya , Atul Deshpande , Robert Nowak

We propose a novel way of reducing the number of parameters in the storage-hungry fully connected layers of a neural network by using pre-defined sparsity, where the majority of connections are absent prior to starting training. Our results…

Machine Learning · Computer Science 2019-04-29 Sourya Dey , Kuan-Wen Huang , Peter A. Beerel , Keith M. Chugg

Feature subset selection (FSS) using a wrapper approach is essentially a combinatorial optimization problem having two objective functions namely cardinality of the selected-feature-subset, which should be minimized and the corresponding…

Neural and Evolutionary Computing · Computer Science 2022-02-09 Yelleti Vivek , Vadlamani Ravi , P. Radhakrishna

Clustering algorithms are fundamental tools across many fields, with density-based methods offering particular advantages in identifying arbitrarily shaped clusters and handling noise. However, their effectiveness is often limited by the…

Machine Learning · Computer Science 2025-12-01 Meysam Shirdel Bilehsavar , Razieh Ghaedi , Samira Seyed Taheri , Xinqi Fan , Christian O'Reilly

Random pruning is arguably the most naive way to attain sparsity in neural networks, but has been deemed uncompetitive by either post-training pruning or sparse training. In this paper, we focus on sparse training and highlight a perhaps…

Machine Learning · Computer Science 2022-02-08 Shiwei Liu , Tianlong Chen , Xiaohan Chen , Li Shen , Decebal Constantin Mocanu , Zhangyang Wang , Mykola Pechenizkiy

Sparsity is a fundamental modeling principle in statistics, signal processing, and data science. However, optimization with sparsity constraints is notoriously difficult. We introduce a new convex relaxation framework for {sparse…

Optimization and Control · Mathematics 2026-03-20 Diego Cifuentes , Zhuorui Li

Post-training Sparsity (PTS) is a recently emerged avenue that chases efficient network sparsity with limited data in need. Existing PTS methods, however, undergo significant performance degradation compared with traditional methods that…

Computer Vision and Pattern Recognition · Computer Science 2024-05-30 Jingjing Xie , Yuxin Zhang , Mingbao Lin , Zhihang Lin , Liujuan Cao , Rongrong Ji

Neural networks often exhibit simplicity bias, favoring simpler features over more complex ones, even when both are equally predictive. We introduce a novel method called imbalanced label coupling to explore and extend this simplicity bias…

Machine Learning · Computer Science 2024-10-23 Zhehang Du

Sparsity-constrained optimization underlies many problems in signal processing, statistics, and machine learning. State-of-the-art hard-thresholding (HT) algorithms rely on an appropriately selected continuous step-size parameter to ensure…

Machine Learning · Statistics 2026-05-13 Jin Zhu , Junxian Zhu , Zezhi Wang , Borui Tang , Hongmei Lin , Xueqin Wang

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

Sparsifying neural networks often suffers from seemingly inevitable performance degradation, and it remains challenging to restore the original performance despite much recent progress. Motivated by recent studies in robust optimization, we…

Machine Learning · Computer Science 2025-06-17 Dongyeop Lee , Kwanhee Lee , Jinseok Chung , Namhoon Lee

Sparse Principal Component Analysis (SPCA) is a fundamental technique for dimensionality reduction, and is NP-hard. In this paper, we introduce a randomized approximation algorithm for SPCA, which is based on the basic SDP relaxation. Our…

Machine Learning · Statistics 2026-05-19 Alberto Del Pia , Dekun Zhou

Random masks define surprisingly effective sparse neural network models, as has been shown empirically. The resulting sparse networks can often compete with dense architectures and state-of-the-art lottery ticket pruning algorithms, even…

Machine Learning · Computer Science 2023-06-01 Advait Gadhikar , Sohom Mukherjee , Rebekka Burkholz

Sparse linear regression is a central problem in high-dimensional statistics. We study the correlated random design setting, where the covariates are drawn from a multivariate Gaussian $N(0,\Sigma)$, and we seek an estimator with small…

Data Structures and Algorithms · Computer Science 2023-05-29 Jonathan Kelner , Frederic Koehler , Raghu Meka , Dhruv Rohatgi

This paper proposes a reliable neural network pruning algorithm by setting up a scientific control. Existing pruning methods have developed various hypotheses to approximate the importance of filters to the network and then execute filter…

Computer Vision and Pattern Recognition · Computer Science 2021-01-12 Yehui Tang , Yunhe Wang , Yixing Xu , Dacheng Tao , Chunjing Xu , Chao Xu , Chang Xu