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Related papers: PASTA: A Parallel Sparse Tensor Algorithm Benchmar…

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Tensor classification has become increasingly crucial in statistics and machine learning, with applications spanning neuroimaging, computer vision, and recommendation systems. However, the high dimensionality of tensors presents significant…

Methodology · Statistics 2024-09-24 Elynn Chen , Yuefeng Han , Jiayu Li

Parameter-efficient tuning aims at updating only a small subset of parameters when adapting a pretrained model to downstream tasks. In this work, we introduce PASTA, in which we only modify the special token representations (e.g., [SEP] and…

Computation and Language · Computer Science 2023-02-15 Xiaocong Yang , James Y. Huang , Wenxuan Zhou , Muhao Chen

Principal component analysis (PCA) is a widely used dimension reduction technique in machine learning and multivariate statistics. To improve the interpretability of PCA, various approaches to obtain sparse principal direction loadings have…

Data Structures and Algorithms · Computer Science 2021-06-07 Agniva Chowdhury , Petros Drineas , David P. Woodruff , Samson Zhou

We present a new algorithm for transposing sparse tensors called Quesadilla. The algorithm converts the sparse tensor data structure to a list of coordinates and sorts it with a fast multi-pass radix algorithm that exploits knowledge of the…

Data Structures and Algorithms · Computer Science 2023-10-17 Suzanne Mueller , Willow Ahrens , Stephen Chou , Fredrik Kjolstad , Saman Amarasinghe

High-dimensional sparse data emerge in many critical application domains such as healthcare and cybersecurity. To extract meaningful insights from massive volumes of these multi-dimensional data, scientists employ unsupervised analysis…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-18 Jan Laukemann , Ahmed E. Helal , S. Isaac Geronimo Anderson , Fabio Checconi , Yongseok Soh , Jesmin Jahan Tithi , Teresa Ranadive , Brian J Gravelle , Fabrizio Petrini , Jee Choi

Sparse principal component analysis (PCA) improves interpretability of the classic PCA by introducing sparsity into the dimension-reduction process. Optimization models for sparse PCA, however, are generally non-convex, non-smooth and more…

Optimization and Control · Mathematics 2024-01-09 Lei Wang , Xin Liu , Yin Zhang

Sparse principal component analysis (PCA) and sparse canonical correlation analysis (CCA) are two essential techniques from high-dimensional statistics and machine learning for analyzing large-scale data. Both problems can be formulated as…

Machine Learning · Statistics 2019-03-28 Shixiang Chen , Shiqian Ma , Lingzhou Xue , Hui Zou

Researchers are increasingly incorporating numeric high-order data, i.e., numeric tensors, within their practice. Just like the matrix/vector (MV) paradigm, the development of multi-purpose, but high-performance, sparse data structures and…

Mathematical Software · Computer Science 2018-02-09 Adam P. Harrison , Dileepan Joseph

Face recognition is the very significant field in pattern recognition area. It has multiple applications in military and finance, to name a few. In this paper, the combination of the sparse PCA with the nearest-neighbor method (and with the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Loc Hoang Tran , Tuan Tran , An Mai

The widespread use of multisensor technology and the emergence of big data sets have brought the necessity to develop more versatile tools to represent higher-order data with multiple aspects and high dimensionality. Data in the form of…

Signal Processing · Electrical Eng. & Systems 2018-06-27 Ali Zare , Alp Ozdemir , Mark A. Iwen , Selin Aviyente

Background: High-throughput proteomics techniques, such as mass spectrometry (MS)-based approaches, produce very high-dimensional data-sets. In a clinical setting one is often interested in how mass spectra differ between patients of…

In this paper, a new method is proposed for sparse PCA based on the recursive divide-and-conquer methodology. The main idea is to separate the original sparse PCA problem into a series of much simpler sub-problems, each having a closed-form…

Computer Vision and Pattern Recognition · Computer Science 2012-12-03 Qian Zhao , Deyu Meng , Zongben Xu

Sparse linear regression is a vast field and there are many different algorithms available to build models. Two new papers published in Statistical Science study the comparative performance of several sparse regression methodologies,…

Machine Learning · Computer Science 2021-02-10 Owais Sarwar , Benjamin Sauk , Nikolaos V. Sahinidis

Recently, numerous sparse hardware accelerators for Deep Neural Networks (DNNs), Graph Neural Networks (GNNs), and scientific computing applications have been proposed. A common characteristic among all of these accelerators is that they…

Atomic-level simulations are widely used to study biomolecules and their dynamics. A common goal in such studies is to compare simulations of a molecular system under several conditions -- for example, with various mutations or bound…

Biomolecules · Quantitative Biology 2025-01-07 Martin Vögele , Neil J. Thomson , Sang T. Truong , Jasper McAvity , Ulrich Zachariae , Ron O. Dror

Task-based execution frameworks, such as parallel programming libraries, computational workflow systems, and function-as-a-service platforms, enable the composition of distinct tasks into a single, unified application designed to achieve a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-15 J. Gregory Pauloski , Valerie Hayot-Sasson , Maxime Gonthier , Nathaniel Hudson , Haochen Pan , Sicheng Zhou , Ian Foster , Kyle Chard

Tensors (also commonly seen as multi-linear operators or as multi-dimensional arrays) are ubiquitous in scientific computing and in data science, and so are the software efforts for tensor operations. Particularly in recent years, we have…

Mathematical Software · Computer Science 2022-06-30 Christos Psarras , Lars Karlsson , Jiajia Li , Paolo Bientinesi

Tensors are becoming prevalent in modern applications such as medical imaging and digital marketing. In this paper, we propose a sparse tensor additive regression (STAR) that models a scalar response as a flexible nonparametric function of…

Machine Learning · Statistics 2021-03-08 Botao Hao , Boxiang Wang , Pengyuan Wang , Jingfei Zhang , Jian Yang , Will Wei Sun

In big-data analytics, using tensor decomposition to extract patterns from large, sparse multivariate data is a popular technique. Many challenges exist for designing parallel, high performance tensor decomposition algorithms due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-17 Thomas B. Rolinger , Tyler A. Simon , Christopher D. Krieger

We study the problem of sparse tensor principal component analysis: given a tensor $\pmb Y = \pmb W + \lambda x^{\otimes p}$ with $\pmb W \in \otimes^p\mathbb{R}^n$ having i.i.d. Gaussian entries, the goal is to recover the $k$-sparse unit…

Machine Learning · Computer Science 2021-11-03 Davin Choo , Tommaso d'Orsi