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Feature selection is a dimensionality reduction technique that selects a subset of representative features from high dimensional data by eliminating irrelevant and redundant features. Recently, feature selection combined with sparse…

Computer Vision and Pattern Recognition · Computer Science 2018-04-24 Siwei Feng , Marco F. Duarte

We consider the decomposition of a data matrix assumed to be a superposition of a low-rank matrix and a component which is sparse in a known dictionary, using a convex demixing method. We consider two sparsity structures for the sparse…

Machine Learning · Computer Science 2020-07-01 Sirisha Rambhatla , Xingguo Li , Jineng Ren , Jarvis Haupt

We present an algorithm to reduce the computational effort for the multiplication of a given matrix with an unknown column vector. The algorithm decomposes the given matrix into a product of matrices whose entries are either zero or integer…

Information Theory · Computer Science 2020-02-28 Ralf R. Müller , Bernhard Gäde , Ali Bereyhi

Distributional models are derived from co-occurrences in a corpus, where only a small proportion of all possible plausible co-occurrences will be observed. This results in a very sparse vector space, requiring a mechanism for inferring…

Computation and Language · Computer Science 2016-08-25 Thomas Kober , Julie Weeds , Jeremy Reffin , David Weir

Matrix factorization (MF) has become a common approach to collaborative filtering, due to ease of implementation and scalability to large data sets. Two existing drawbacks of the basic model is that it does not incorporate side information…

Machine Learning · Statistics 2014-07-30 Cody Severinski , Ruslan Salakhutdinov

In the field of face recognition, Sparse Representation (SR) has received considerable attention during the past few years. Most of the relevant literature focuses on holistic descriptors in closed-set identification applications. The…

Computer Vision and Pattern Recognition · Computer Science 2014-12-19 Yongkang Wong , Mehrtash T. Harandi , Conrad Sanderson

Interpretable classification of time series presents significant challenges in high dimensions. Traditional feature selection methods in the frequency domain often assume sparsity in spectral density matrices (SDMs) or their inverses, which…

Machine Learning · Statistics 2024-08-19 Sarbojit Roy , Malik Shahid Sultan , Hernando Ombao

Nonnegative matrix factorization (NMF) has become a workhorse for signal and data analytics, triggered by its model parsimony and interpretability. Perhaps a bit surprisingly, the understanding to its model identifiability---the major…

Signal Processing · Electrical Eng. & Systems 2019-03-27 Xiao Fu , Kejun Huang , Nicholas D. Sidiropoulos , Wing-Kin Ma

Nonnegative matrix factorization (NMF) has become a widely used tool for the analysis of high-dimensional data as it automatically extracts sparse and meaningful features from a set of nonnegative data vectors. We first illustrate this…

Machine Learning · Statistics 2014-12-10 Nicolas Gillis

In recent years, a lot of attention has been devoted to efficient nearest neighbor search by means of similarity-preserving hashing. One of the plights of existing hashing techniques is the intrinsic trade-off between performance and…

Computer Vision and Pattern Recognition · Computer Science 2014-02-18 Jonathan Masci , Alex M. Bronstein , Michael M. Bronstein , Pablo Sprechmann , Guillermo Sapiro

Human visual recognition is a sparse process, where only a few salient visual cues are attended to rather than traversing every detail uniformly. However, most current vision networks follow a dense paradigm, processing every single visual…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Ziteng Gao , Zhan Tong , Limin Wang , Mike Zheng Shou

High-dimensional real-world systems can often be well characterized by a small number of simultaneous low-complexity interactions. The analysis of variance (ANOVA) decomposition and the anchored decomposition are typical techniques to find…

Numerical Analysis · Mathematics 2024-03-29 Fatima Antarou Ba , Oleh Melnyk , Christian Wald , Gabriele Steidl

Latent Factor (LF) models are effective in representing high-dimension and sparse (HiDS) data via low-rank matrices approximation. Hessian-free (HF) optimization is an efficient method to utilizing second-order information of an LF model's…

Machine Learning · Computer Science 2022-08-15 Jialiang Wang , Yurong Zhong , Weiling Li

Graph Transformers typically rely on explicit positional or structural encodings and dense global attention to incorporate graph topology. In this work, we show that neither is essential. We introduce HopFormer, a graph Transformer that…

Machine Learning · Computer Science 2026-02-03 Sanggeon Yun , Raheeb Hassan , Ryozo Masukawa , Sungheon Jeong , Mohsen Imani

The problem of Poisson denoising appears in various imaging applications, such as low-light photography, medical imaging and microscopy. In cases of high SNR, several transformations exist so as to convert the Poisson noise into an additive…

Computer Vision and Pattern Recognition · Computer Science 2015-06-17 Raja Giryes , Michael Elad

Distributed sparse block codes (SBCs) exhibit compact representations for encoding and manipulating symbolic data structures using fixed-width vectors. One major challenge however is to disentangle, or factorize, the distributed…

Computer Vision and Pattern Recognition · Computer Science 2024-05-29 Michael Hersche , Aleksandar Terzic , Geethan Karunaratne , Jovin Langenegger , Angéline Pouget , Giovanni Cherubini , Luca Benini , Abu Sebastian , Abbas Rahimi

Hyperspectral unmixing has been an important technique that estimates a set of endmembers and their corresponding abundances from a hyperspectral image (HSI). Nonnegative matrix factorization (NMF) plays an increasingly significant role in…

Computer Vision and Pattern Recognition · Computer Science 2022-05-23 Xin-Ru Feng , Heng-Chao Li , Rui Wang , Qian Du , Xiuping Jia , Antonio Plaza

N:M sparsity pruning is a powerful technique for compressing deep neural networks, utilizing NVIDIA's Sparse Tensor Core technology. This method benefits from hardware support for sparse indexing, enabling the adoption of fine-grained…

Machine Learning · Computer Science 2024-07-31 Seungmin Yu , Xiaodie Yi , Hayun Lee , Dongkun Shin

Polar codes are high density parity check codes and hence the sparse factor graph, instead of the parity check matrix, has been used to practically represent an LP polytope for LP decoding. Although LP decoding on this polytope has the…

Information Theory · Computer Science 2014-04-30 Veeresh Taranalli , Paul H. Siegel

In support of applications involving multiview sources in distributed object recognition using lightweight cameras, we propose a new method for the distributed coding of sparse sources as visual descriptor histograms extracted from…

Computer Vision and Pattern Recognition · Computer Science 2016-07-19 Huynh Van Luong , Nikos Deligiannis , Søren Forchhammer , André Kaup