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Sparse dictionary learning is a popular method for representing signals as linear combinations of a few elements from a dictionary that is learned from the data. In the classical setting, signals are represented as vectors and the…

Optimization and Control · Mathematics 2019-09-20 Evan Schwab , Benjamin D. Haeffele , René Vidal , Nicolas Charon

We present an algorithm for creating high resolution anatomically plausible images consistent with acquired clinical brain MRI scans with large inter-slice spacing. Although large data sets of clinical images contain a wealth of…

Computer Vision and Pattern Recognition · Computer Science 2019-03-14 Adrian V. Dalca , Katherine L. Bouman , William T. Freeman , Natalia S. Rost , Mert R. Sabuncu , Polina Golland

We present an algorithm for resampling a function from its values on a non-Cartesian grid onto a Cartesian grid. This problem arises in many applications such as MRI, CT, radio astronomy and geophysics. Our algorithm, termed SParse Uniform…

Information Theory · Computer Science 2016-03-17 Amir Kiperwas , Daniel Rosenfeld , Yonina C. Eldar

Sparse linear iterative solvers are essential for many large-scale simulations. Much of the runtime of these solvers is often spent in the implicit evaluation of matrix polynomials via a sequence of sparse matrix-vector products. A variety…

Numerical Analysis · Mathematics 2026-05-12 Christie Alappat , Jonas Thies , Georg Hager , Holger Fehske , Gerhard Wellein

We propose a parallelizable sparse inverse formulation Gaussian process (SpInGP) for temporal models. It uses a sparse precision GP formulation and sparse matrix routines to speed up the computations. Due to the state-space formulation used…

Machine Learning · Statistics 2017-09-29 Alexander Grigorievskiy , Neil Lawrence , Simo Särkkä

In a recent article series, the authors have promoted convex optimization algorithms for radio-interferometric imaging in the framework of compressed sensing, which leverages sparsity regularization priors for the associated inverse problem…

Instrumentation and Methods for Astrophysics · Physics 2014-04-01 Rafael E. Carrillo , Jason D. McEwen , Yves Wiaux

Structured kernel interpolation (SKI) accelerates Gaussian process (GP) inference by interpolating the kernel covariance function using a dense grid of inducing points, whose corresponding kernel matrix is highly structured and thus…

Machine Learning · Computer Science 2023-05-26 Mohit Yadav , Daniel Sheldon , Cameron Musco

Partial least squares, as a dimension reduction method, has become increasingly important for its ability to deal with problems with a large number of variables. Since noisy variables may weaken the performance of the model, the sparse…

Methodology · Statistics 2020-06-08 Weijuan Liang , Shuangge Ma , Qingzhao Zhang , Tingyu Zhu

Lossy compression, widely used by scientists to reduce data from simulations, experiments, and observations, can distort features of interest even under bounded error. Such distortions may compromise downstream analyses and lead to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-06 Yuxiao Li , Mingze Xia , Xin Liang , Bei Wang , Robert Underwood , Sheng Di , Hemant Sharma , Dishant Beniwal , Franck Cappello , Hanqi Guo

Sparse tiling is a technique to fuse loops that access common data, thus increasing data locality. Unlike traditional loop fusion or blocking, the loops may have different iteration spaces and access shared datasets through indirect memory…

Computational Engineering, Finance, and Science · Computer Science 2019-06-20 Fabio Luporini , Michael Lange , Christian T. Jacobs , Gerard J. Gorman , J. Ramanujam , Paul H. J. Kelly

Many problems in scientific and engineering applications contain sparse matrices or graphs as main input objects, e.g. numerical simulations on meshes. Large inputs are abundant these days and require parallel processing for memory size and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-23 Charilaos Tzovas , Maria Predari , Henning Meyerhenke

A wide range of problems in computational science and engineering require estimation of sparse eigenvectors for high dimensional systems. Here, we propose two variants of the Truncated Orthogonal Iteration to compute multiple leading…

Numerical Analysis · Mathematics 2021-03-26 Hexuan Liu , Aleksandr Aravkin

The sensor placement problem is a common problem that arises when monitoring correlated phenomena, such as temperature, precipitation, and salinity. Existing approaches to this problem typically formulate it as the maximization of…

Robotics · Computer Science 2024-08-23 Kalvik Jakkala , Srinivas Akella

We present the open-source image processing software package PySAP (Python Sparse data Analysis Package) developed for the COmpressed Sensing for Magnetic resonance Imaging and Cosmology (COSMIC) project. This package provides a set of…

Instrumentation and Methods for Astrophysics · Physics 2020-07-03 S. Farrens , A. Grigis , L. El Gueddari , Z. Ramzi , Chaithya G. R. , S. Starck , B. Sarthou , H. Cherkaoui , P. Ciuciu , J. -L. Starck

It is commonplace in cosmology to analyze fields projected onto the celestial sphere, and in particular density fields that are defined by a set of points e.g. galaxies. When performing an harmonic-space analysis of such data (e.g. an…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-02 Antón Baleato Lizancos , Martin White

The growth of big data in domains such as Earth Sciences, Social Networks, Physical Sciences, etc. has lead to an immense need for efficient and scalable linear algebra operations, e.g. Matrix inversion. Existing methods for efficient and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Chandan Misra , Sourangshu Bhattacharya , Soumya K. Ghosh

For many practical applications in wireless communications, we need to recover a structured sparse signal from a linear observation model with dynamic grid parameters in the sensing matrix. Conventional expectation maximization (EM)-based…

Signal Processing · Electrical Eng. & Systems 2023-11-14 Wenkang Xu , An Liu , Bingpeng Zhou , Minjian Zhao

Millimeter wave multiple-input multiple-output (MIMO) communication systems must operate over sparse wireless links and will require large antenna arrays to provide high throughput. To achieve sufficient array gains, these systems must…

Signal Processing · Electrical Eng. & Systems 2019-04-17 Wei Zhang , Taejoon Kim , David J. Love

Sparse matrix vector multiplication (SpMV) is central to numerous data-intensive applications, but requires streaming indirect memory accesses that severely degrade both processing and memory throughput in state-of-the-art architectures.…

Hardware Architecture · Computer Science 2023-11-20 Chi Zhang , Paul Scheffler , Thomas Benz , Matteo Perotti , Luca Benini

Recent research has shown that performance in signal processing tasks can often be significantly improved by using signal models based on sparse representations, where a signal is approximated using a small number of elements from a fixed…

Optimization and Control · Mathematics 2011-11-18 Adam S. Charles , Pierre Garrigues , Christopher J. Rozell
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