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Tensor decomposition has emerged as a prominent technique to learn low-dimensional representation under the supervision of reconstruction error, primarily benefiting data inference tasks like completion and imputation, but not…

Machine Learning · Computer Science 2024-09-24 Man Li , Ziyue Li , Lijun Sun , Fugee Tsung

High-order clustering aims to classify objects in multiway datasets that are prevalent in various fields such as bioinformatics, recommendation systems, and social network analysis. Such data are often sparse and high-dimensional, posing…

Statistics Theory · Mathematics 2025-12-05 Ian Välimaa , Lasse Leskelä

Dedicated tensor accelerators demonstrate the importance of linear algebra in modern applications. Such accelerators have the potential for impressive performance gains, but require programmers to rewrite code using vendor APIs - a barrier…

Compressed Sensing (CS) theory simultaneously realizes the signal sampling and compression process, and can use fewer observations to achieve accurate signal recovery, providing a solution for better and faster transmission of massive data.…

Signal Processing · Electrical Eng. & Systems 2021-06-25 Guanxiong Nie , Yajian Zhou

A trend in compressed sensing (CS) is to exploit structure for improved reconstruction performance. In the basic CS model, exploiting the clustering structure among nonzero elements in the solution vector has drawn much attention, and many…

Computation · Statistics 2011-06-13 Zhilin Zhang , Bhaskar D. Rao

We present a simple yet novel parameterized form of linear mapping to achieves remarkable network compression performance: a pseudo SVD called Ternary SVD (TSVD). Unlike vanilla SVD, TSVD limits the $U$ and $V$ matrices in SVD to ternary…

Machine Learning · Computer Science 2023-08-16 Boyu Chen , Hanxuan Chen , Jiao He , Fengyu Sun , Shangling Jui

Developing computationally-efficient codes that approach the Shannon-theoretic limits for communication and compression has long been one of the major goals of information and coding theory. There have been significant advances towards this…

Information Theory · Computer Science 2019-11-05 Ramji Venkataramanan , Sekhar Tatikonda , Andrew Barron

Low-rank tensor completion recovers missing entries based on different tensor decompositions. Due to its outstanding performance in exploiting some higher-order data structure, low rank tensor ring has been applied in tensor completion. To…

Machine Learning · Computer Science 2020-07-14 Huyan Huang , Yipeng Liu , Ce Zhu

The design of efficient sparse codebooks in sparse code multiple access (SCMA) system have attracted tremendous research attention in the past few years. This paper proposes a novel nonlinear SCMA (NL-SCMA) that can subsume the conventional…

Signal Processing · Electrical Eng. & Systems 2024-11-14 Qu Luo , Jing Zhu , Gaojie Chen , Pei Xiao , Rahim Tafazolli

Low rank tensor representation (LRTR) methods are very useful for hyperspectral anomaly detection (HAD). To overcome the limitations that they often overlook spectral anomaly and rely on large-scale matrix singular value decomposition, we…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Quan Yu , Yu-Hong Dai , Minru Bai

Hyperspectral unmixing aims at estimating material signatures (known as endmembers) and the corresponding proportions (referred to abundances), which is a critical preprocessing step in various hyperspectral imagery applications. This study…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Gang Yang

Sparse Matrix-Vector Multiplication (SpMV) is a fundamental operation in the inference of sparse Large Language Models (LLMs). Because existing SpMV methods perform poorly under the low and unstructured sparsity (30-90%) commonly observed…

Machine Learning · Computer Science 2025-11-18 Vladimír Macko , Vladimír Boža

The non-uniform distribution and extremely sparse nature of the LiDAR point cloud (LPC) bring significant challenges to its high-efficient compression. This paper proposes a novel end-to-end, fully-factorized deep framework that encodes the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-15 Tingyu Fan , Linyao Gao , Yiling Xu , Dong Wang , Zhu Li

We show in this work that reinforcement learning can be successfully applied to decoding short to moderate length sparse graph-based channel codes. Specifically, we focus on low-density parity check (LDPC) codes, which for example have been…

Information Theory · Computer Science 2020-10-20 Salman Habib , Allison Beemer , Joerg Kliewer

Tensor Compressive Sensing (TCS) is a multidimensional framework of Compressive Sensing (CS), and it is advantageous in terms of reducing the amount of storage, easing hardware implementations and preserving multidimensional structures of…

Machine Learning · Computer Science 2017-06-07 Xin Ding , Wei Chen , Ian J. Wassell

We propose an approach to lossy source coding, utilizing ideas from Gibbs sampling, simulated annealing, and Markov Chain Monte Carlo (MCMC). The idea is to sample a reconstruction sequence from a Boltzmann distribution associated with an…

Information Theory · Computer Science 2016-11-17 Shirin Jalali , Tsachy Weissman

The increasing success and scaling of Deep Learning models demands higher computational efficiency and power. Sparsification can lead to both smaller models as well as higher compute efficiency, and accelerated hardware is becoming…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-04 Roberto L. Castro , Andrei Ivanov , Diego Andrade , Tal Ben-Nun , Basilio B. Fraguela , Torsten Hoefler

The recently proposed Multi-Layer Convolutional Sparse Coding (ML-CSC) model, consisting of a cascade of convolutional sparse layers, provides a new interpretation of Convolutional Neural Networks (CNNs). Under this framework, the…

Computer Vision and Pattern Recognition · Computer Science 2018-07-03 Jeremias Sulam , Vardan Papyan , Yaniv Romano , Michael Elad

Large Language Models (LLMs) have demonstrated remarkable proficiency in language comprehension and generation; however, their widespread adoption is constrained by substantial bandwidth and computational demands. While pruning and low-rank…

Computation and Language · Computer Science 2025-10-31 Zeliang Zong , Kai Zhang , Zheyang Li , Wenming Tan , Ye Ren , Yiyan Zhai , Jilin Hu

In this paper, we describe the deep sparse coding network (SCN), a novel deep network that encodes intermediate representations with nonnegative sparse coding. The SCN is built upon a number of cascading bottleneck modules, where each…

Computer Vision and Pattern Recognition · Computer Science 2017-05-24 Xiaoxia Sun , Nasser M. Nasrabadi , Trac D. Tran
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