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With the ever-increasing execution scale of high performance computing (HPC) applications, vast amounts of data are being produced by scientific research every day. Error-bounded lossy compression has been considered a very promising…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-24 Jinyang Liu , Sheng Di , Kai Zhao , Xin Liang , Zizhong Chen , Franck Cappello

Data-parallel SGD is the de facto algorithm for distributed optimization, especially for large scale machine learning. Despite its merits, communication bottleneck is one of its persistent issues. Most compression schemes to alleviate this…

Neural and Evolutionary Computing · Computer Science 2024-02-07 Ashok Vardhan Makkuva , Marco Bondaschi , Thijs Vogels , Martin Jaggi , Hyeji Kim , Michael C. Gastpar

Today's large-scale scientific applications running on high-performance computing (HPC) systems generate vast data volumes. Thus, data compression is becoming a critical technique to mitigate the storage burden and data-movement cost.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-04 Boyuan Zhang , Jiannan Tian , Sheng Di , Xiaodong Yu , Yunhe Feng , Xin Liang , Dingwen Tao , Franck Cappello

We provide new estimates of an asymptotic upper bound on the entropy of English using the large language model LLaMA-7B as a predictor for the next token given a window of past tokens. This estimate is significantly smaller than currently…

This paper describes a lossy method for compressing raw images produced by CCDs or similar devices. The method is very simple: lossy quantization followed by lossless compression using general-purpose compression tools such as gzip and…

Astrophysics · Physics 2007-05-23 Alan M. Watson

In the context of high-dimensional linear regression models, we propose an algorithm of exact support recovery in the setting of noisy compressed sensing where all entries of the design matrix are independent and identically distributed…

Statistics Theory · Mathematics 2019-10-23 Mohamed Ndaoud , Alexandre B. Tsybakov

We study the compression of LLM-generated text across lossless and lossy regimes, characterizing a compression-compute frontier where more compression is possible at the cost of more compute. For lossless compression, domain-adapted LoRA…

Machine Learning · Computer Science 2026-04-06 Roy Rinberg , Annabelle Michael Carrell , Simon Henniger , Nicholas Carlini , Keri Warr

This paper is dedicated to lossless data compression with probability estimation using neural networks. First, we propose a probability estimation architecture based on a chain of neural predictors, so that each unit of the chain is defined…

Information Theory · Computer Science 2026-04-20 Yuriy Kim , Evgeny Belyaev

Scientific simulations and observations are producing vast amounts of time-varying vector field data, making it hard to store them for archival purposes and transmit them for analysis. Lossy compression is considered a promising approach to…

Databases · Computer Science 2026-03-17 Mingze Xia , Yuxiao Li , Pu Jiao , Bei Wang , Xin Liang , Hanqi Guo

This work proposes lossless and near-lossless compression algorithms for multi-channel biomedical signals. The algorithms are sequential and efficient, which makes them suitable for low-latency and low-power signal transmission…

Information Theory · Computer Science 2016-05-17 Ignacio Capurro , Federico Lecumberry , Álvaro Martín , Ignacio Ramírez , Eugenio Rovira , Gadiel Seroussi

Distributed optimization methods are often applied to solving huge-scale problems like training neural networks with millions and even billions of parameters. In such applications, communicating full vectors, e.g., (stochastic) gradients,…

Optimization and Control · Mathematics 2022-05-31 Marina Danilova , Eduard Gorbunov

The rapid growth of high-resolution scientific simulations and observation systems is generating massive spatiotemporal datasets, making efficient, error-bounded compression increasingly important. Meanwhile, decoder-only large language…

Machine Learning · Computer Science 2025-11-06 Guozhong Li , Muhannad Alhumaidi , Spiros Skiadopoulos , Panos Kalnis

We present a new, simple, and efficient approach for computing the Lempel-Ziv (LZ77) factorization of a string in linear time, based on suffix arrays. Computational experiments on various data sets show that our approach constantly…

Data Structures and Algorithms · Computer Science 2013-01-21 Keisuke Goto , Hideo Bannai

This paper is concerned with the computational complexity of learning the Hidden Markov Model (HMM). Although HMMs are some of the most widely used tools in sequential and time series modeling, they are cryptographically hard to learn in…

Machine Learning · Computer Science 2024-02-27 Sham M. Kakade , Akshay Krishnamurthy , Gaurav Mahajan , Cyril Zhang

This paper develops a robust dynamic mode decomposition (RDMD) method endowed with statistical and numerical robustness. Statistical robustness ensures estimation efficiency at the Gaussian and non-Gaussian probability distributions,…

Methodology · Statistics 2022-07-08 Amir Hossein Abolmasoumi , Marcos Netto , Lamine Mili

The anti-interference capability of wireless links is a physical layer problem for edge computing. Although convolutional codes have inherent error correction potential due to the redundancy introduced in the data, the performance of the…

Information Theory · Computer Science 2022-11-15 Haoyu Li , Xuan Wang , Tong Liu , Dingyi Fang , Baoying Liu

In the field of neural data compression, the prevailing focus has been on optimizing algorithms for either classical distortion metrics, such as PSNR or SSIM, or human perceptual quality. With increasing amounts of data consumed by machines…

Image and Video Processing · Electrical Eng. & Systems 2024-01-17 Dan Jacobellis , Daniel Cummings , Neeraja J. Yadwadkar

Pipeline-parallel distributed optimization is essential for large-scale machine learning but is challenged by significant communication overhead from transmitting high-dimensional activations and gradients between workers. Existing…

Optimization and Control · Mathematics 2025-09-24 Boao Kong , Xu Huang , Yuqi Xu , Yixuan Liang , Bin Wang , Kun Yuan

In this work, a likelihood encoder is studied in the context of lossy source compression. The analysis of the likelihood encoder is based on a soft-covering lemma. It is demonstrated that the use of a likelihood encoder together with the…

Information Theory · Computer Science 2014-04-24 Eva C. Song , Paul Cuff , H. Vincent Poor

The growing computational and memory demands of the Key-Value (KV) cache significantly limit the ability of Large Language Models (LLMs). While KV merging has emerged as a promising solution, existing methods that rely on empirical…

Computation and Language · Computer Science 2026-03-10 Lianjun Liu , Hongli An , Weiqi Yan , Xin Du , Shengchuan Zhang , Huazhong Liu , Yunshan Zhong
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