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Compression of floating-point data will play an important role in high-performance computing as data bandwidth and storage become dominant costs. Lossy compression of floating-point data is powerful, but theoretical results are needed to…

Numerical Analysis · Mathematics 2024-07-03 James Diffenderfer , Alyson Fox , Jeffrey Hittinger , Geoffrey Sanders , Peter Lindstrom

The amount of data generated and gathered in scientific simulations and data collection applications is continuously growing, putting mounting pressure on storage and bandwidth concerns. A means of reducing such issues is data compression;…

Numerical Analysis · Mathematics 2025-05-15 Alyson Fox , Peter Lindstrom

With ever-increasing volumes of scientific floating-point data being produced by high-performance computing applications, significantly reducing scientific floating-point data size is critical, and error-controlled lossy compressors have…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-20 Robert Underwood , Sheng Di , Jon C. Calhoun , Franck Cappello

Iterative methods are commonly used approaches to solve large, sparse linear systems, which are fundamental operations for many modern scientific simulations. When the large-scale iterative methods are running with a large number of ranks…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-30 Dingwen Tao , Sheng Di , Xin Liang , Zizhong Chen , Franck Cappello

Frugal computing is becoming an important topic for environmental reasons. In this context, several techniques have been proposed to reduce the storage of scientific data by dedicated compression methods specially tailored for arrays of…

Data Structures and Algorithms · Computer Science 2022-03-01 Matthieu Martel

Floating-point data is widely used across various domains. Depending on the required precision, each floating-point value can occupy several bytes. Lossless storage of this information is crucial due to its critical accuracy, as seen in…

Databases · Computer Science 2025-08-11 Samirasadat Jamalidinan , Kazem Cheshmi

Time series data compression is emerging as an important problem with the growth in IoT devices and sensors. Due to the presence of noise in these datasets, lossy compression can often provide significant compression gains without impacting…

Signal Processing · Electrical Eng. & Systems 2020-01-14 Shubham Chandak , Kedar Tatwawadi , Chengtao Wen , Lingyun Wang , Juan Aparicio , Tsachy Weissman

The number of IoT devices is expected to continue its dramatic growth in the coming years and, with it, a growth in the amount of data to be transmitted, processed and stored. Compression techniques that support analytics directly on the…

Data Structures and Algorithms · Computer Science 2023-08-29 Francesco Taurone , Daniel E. Lucani , Marcell Fehér , Qi Zhang

Iterative methods on irregular grids have been used widely in all areas of comptational science and engineering for solving partial differential equations with complex geometry. They provide the flexibility to express complex shapes with…

Mathematical Software · Computer Science 2016-12-05 Naoki Yoshifuji , Ryo Sakamoto , Keigo Nitadori , Jun Makino

We propose basic and natural assumptions under which iterative optimization methods with compressed iterates can be analyzed. This problem is motivated by the practice of federated learning, where a large model stored in the cloud is…

Machine Learning · Computer Science 2019-12-23 Sélim Chraibi , Ahmed Khaled , Dmitry Kovalev , Peter Richtárik , Adil Salim , Martin Takáč

Floating-point computations are quickly finding their way in the design of safety- and mission-critical systems, despite the fact that designing floating-point algorithms is significantly more difficult than designing integer algorithms.…

Artificial Intelligence · Computer Science 2015-08-03 Roberto Bagnara , Matthieu Carlier , Roberta Gori , Arnaud Gotlieb

The torrential influx of floating-point data from domains like IoT and HPC necessitates high-performance lossless compression to mitigate storage costs while preserving absolute data fidelity. Leveraging GPU parallelism for this task…

Databases · Computer Science 2025-11-12 Zheng Li , Weiyan Wang , Ruiyuan Li , Chao Chen , Xianlei Long , Linjiang Zheng , Quanqing Xu , Chuanhui Yang

Data compression algorithms typically rely on identifying repeated sequences of symbols from the original data to provide a compact representation of the same information, while maintaining the ability to recover the original data from the…

Databases · Computer Science 2023-08-08 Francesco Taurone , Daniel E. Lucani , Marcell Fehér , Qi Zhang

One requirement of maintaining digital information is storage. With the latest advances in the digital world, new emerging media types have required even more storage space to be kept than before. In fact, in many cases it is required to…

Data Structures and Algorithms · Computer Science 2025-01-22 Vasileios Alevizos , Nikitas Gerolimos , Sabrina Edralin , Clark Xu , Akebu Simasiku , Georgios Priniotakis , George Papakostas , Zongliang Yue

The study addresses the problem of precision in floating-point (FP) computations. A method for estimating the errors which affect intermediate and final results is proposed and a summary of many software simulations is discussed. The basic…

Numerical Analysis · Computer Science 2012-01-31 Glauco Masotti

Error-controlled lossy compressors have been widely used in scientific applications to reduce the unprecedented size of scientific data while keeping data distortion within a user-specified threshold. While they significantly mitigate the…

Databases · Computer Science 2026-03-27 Xuan Wu , Sheng Di , Tripti Agarwal , Kai Zhao , Xin Liang , Franck Cappello

Data compression plays a key role in reducing storage and I/O costs. Traditional lossy methods primarily target data on rectilinear grids and cannot leverage the spatial coherence in unstructured mesh data, leading to suboptimal compression…

In many iterative optimization methods, fixed-point theory enables the analysis of the convergence rate via the contraction factor associated with the linear approximation of the fixed-point operator. While this factor characterizes the…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Trung Vu , Raviv Raich

Current data compression methods, such as sparsification in Federated Averaging (FedAvg), effectively enhance the communication efficiency of Federated Learning (FL). However, these methods encounter challenges such as the straggler problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-28 Zichen Tang , Junlin Huang , Rudan Yan , Yuxin Wang , Zhenheng Tang , Shaohuai Shi , Amelie Chi Zhou , Xiaowen Chu

Iterative solvers are frequently used in scientific applications and engineering computations. However, the memory-bound Sparse Matrix-Vector (SpMV) kernel computation hinders the efficiency of iterative algorithms. As modern hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-08 Jianhua Gao , Jiayuan Shen , Yuxiang Zhang , Weixing Ji , Hua Huang
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