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The null space condition for $\ell_1$ minimization in compressed sensing is a necessary and sufficient condition on the sensing matrices under which a sparse signal can be uniquely recovered from the observation data via $\ell_1$…

Information Theory · Computer Science 2018-02-06 Myung Cho , Kumar Vijay Mishra , Weiyu Xu

We explore an error-bounded lossy compression approach for reducing scientific data associated with 2D/3D unstructured meshes. While existing lossy compressors offer a high compression ratio with bounded error for regular grid data,…

Graphics · Computer Science 2024-04-04 Congrong Ren , Xin Liang , Hanqi Guo

We study the problem of compressing massive tables within the partition-training paradigm introduced by Buchsbaum et al. [SODA'00], in which a table is partitioned by an off-line training procedure into disjoint intervals of columns, each…

Data Structures and Algorithms · Computer Science 2007-05-23 Adam L. Buchsbaum , Glenn S. Fowler , Raffaele Giancarlo

Lossy compressors are increasingly adopted in scientific research, tackling volumes of data from experiments or parallel numerical simulations and facilitating data storage and movement. In contrast with the notion of entropy in lossless…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-16 Robert Underwood , Julie Bessac , David Krasowska , Jon C. Calhoun , Sheng Di , Franck Cappello

Leveraging medical record information in the era of big data and machine learning comes with the caveat that data must be cleaned and de-identified. Facilitating data sharing and harmonization for multi-center collaborations are…

Image and Video Processing · Electrical Eng. & Systems 2023-05-11 Adrienne Kline , Vinesh Appadurai , Yuan Luo , Sanjiv Shah

Integer linear programs $\min\{c^T x : A x = b, x \in \mathbb{Z}^n_{\ge 0}\}$, where $A \in \mathbb{Z}^{m \times n}$, $b \in \mathbb{Z}^m$, and $c \in \mathbb{Z}^n$, can be solved in pseudopolynomial time for any fixed number of constraints…

Data Structures and Algorithms · Computer Science 2024-09-06 Lars Rohwedder , Karol Węgrzycki

Over the next decade, improvements in cosmological parameter constraints will be driven by surveys of large-scale structure. Its inherent non-linearity suggests that significant information will be embedded in higher correlations beyond the…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Joyce Byun , Alexander Eggemeier , Donough Regan , David Seery , Robert E. Smith

In response to the rapidly escalating costs of computing with large matrices and tensors caused by data movement, several lossy compression methods have been developed to significantly reduce data volumes. Unfortunately, all these methods…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-18 Tripti Agarwal , Harvey Dam , Dorra Ben Khalifa , Matthieu Martel , P. Sadayappan , Ganesh Gopalakrishnan

We compare the performance of multiple codes written by different groups for making polarized maps from Planck-sized, all-sky cosmic microwave background (CMB) data. Three of the codes are based on a destriping algorithm; the other three…

To reduce and analyze astronomical images, astronomers can rely on a wide range of libraries providing low-level implementations of legacy algorithms. However, combining these routines into robust and functional pipelines requires a major…

Instrumentation and Methods for Astrophysics · Physics 2021-11-17 Lionel J. Garcia , Mathilde Timmermans , Francisco J. Pozuelos , Elsa Ducrot , Michaël Gillon , Laetitia Delrez , Robert D. Wells , Emmanuël Jehin

Despite the fact that the physics of the cosmic microwave background anisotropies is most naturally expressed in Fourier space, pixelised maps are almost always used in the analysis and simulation of microwave data. A complementary approach…

This paper presents a prescription for distilling the information contained in the cosmic microwave background radiation from multiple sky maps that also contain both instrument noise and foreground contaminants. The prescription is…

Astrophysics · Physics 2008-05-02 Steven Gratton

In scientific fields such as quantum computing, physics, chemistry, and machine learning, high dimensional data are typically represented using sparse tensors. Tensor contraction is a popular operation on tensors to exploit meaning or alter…

Data Structures and Algorithms · Computer Science 2024-10-15 Andrew Ensinger , Gabriel Kulp , Victor Agostinelli , Dennis Lyakhov , Lizhong Chen

Compressing the output of \epsilon-locally differentially private (LDP) randomizers naively leads to suboptimal utility. In this work, we demonstrate the benefits of using schemes that jointly compress and privatize the data using shared…

Cryptography and Security · Computer Science 2022-03-01 Abhin Shah , Wei-Ning Chen , Johannes Balle , Peter Kairouz , Lucas Theis

In this note we describe experiments on an implementation of two methods proposed in the literature for computing regions that correspond to a notion of order statistics for multidimensional data. Our implementation, which works for any…

Computation · Statistics 2017-04-26 David L. Woodruff , Stefan Zillmann

polyDB is a database for discrete geometric objects. The database is accessible via web and an interface from the software package polymake. It contains various datasets from the area of lattice polytopes, combinatorial polytopes, matroids…

Combinatorics · Mathematics 2017-11-09 Andreas Paffenholz

This paper presents an algorithmic study of a class of covering mixed-integer linear programming problems which encompasses classic cover problems, including multidimensional knapsack, facility location and supplier selection problems. We…

Data Structures and Algorithms · Computer Science 2026-02-12 Kobe Grobben , Phablo F. S. Moura , Hande Yaman

The Tucker decomposition, an extension of singular value decomposition for higher-order tensors, is a useful tool in analysis and compression of large-scale scientific data. While it has been studied extensively for static datasets, there…

Numerical Analysis · Mathematics 2026-05-26 Saibal De , Zitong Li , Hemanth Kolla , Eric T. Phipps

We consider a multi-hop wireless sensor network that measures sparse events and propose a simple forwarding protocol based on Compressed Sensing (CS) which does not need any sophisticated Media Access Control (MAC) scheduling, neither a…

Other Computer Science · Computer Science 2012-08-08 Megumi Kaneko , Khaldoun Al Agha

Error-bounded lossy compression has been a critical technique to significantly reduce the sheer amounts of simulation datasets for high-performance computing (HPC) scientific applications while effectively controlling the data distortion…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-23 Tripti Agarwal , Sheng Di , Jiajun Huang , Yafan Huang , Ganesh Gopalakrishnan , Robert Underwood , Kai Zhao , Xin Liang , Guanpeng Li , Franck Cappello
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