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In this work, we explore the interplay between information and computation in non-linear transform-based compression for broad classes of modern information-processing tasks. We first investigate two emerging nonlinear data transformation…

Information Theory · Computer Science 2025-06-23 Connor Ding , Abhiram Rao Gorle , Jiwon Jeong , Naomi Sagan , Tsachy Weissman

Communication efficient distributed mean estimation is an important primitive that arises in many distributed learning and optimization scenarios such as federated learning. Without any probabilistic assumptions on the underlying data, we…

Information Theory · Computer Science 2022-11-15 Prathamesh Mayekar , Shubham Jha , Ananda Theertha Suresh , Himanshu Tyagi

We consider lossy compression of an information source when the decoder has lossless access to a correlated one. This setup, also known as the Wyner-Ziv problem, is a special case of distributed source coding. To this day, practical…

Information Theory · Computer Science 2024-05-22 Ezgi Ozyilkan , Johannes Ballé , Elza Erkip

Noiseless compressive sensing is a protocol that enables undersampling and later recovery of a signal without loss of information. This compression is possible because the signal is usually sufficiently sparse in a given basis. Currently,…

Information Theory · Computer Science 2024-07-22 D. Barbier , C Lucibello , L. Saglietti , F. Krzakala , L. Zdeborova

A blind compressive sensing algorithm is proposed to reconstruct hyperspectral images from spectrally-compressed measurements.The wavelength-dependent data are coded and then superposed, mapping the three-dimensional hyperspectral datacube…

Computer Vision and Pattern Recognition · Computer Science 2015-10-28 Xin Yuan , Tsung-Han Tsai , Ruoyu Zhu , Patrick Llull , David Brady , Lawrence Carin

The conditional distribution of the next outcome given the infinite past of a stationary process can be inferred from finite but growing segments of the past. Several schemes are known for constructing pointwise consistent estimates, but…

Statistics Theory · Mathematics 2016-11-17 G. Morvai , S. Yakowitz , P. Algoet

For decades, computing the LZ factorization (or LZ77 parsing) of a string has been a requisite and computationally intensive step in many diverse applications, including text indexing and data compression. Many algorithms for LZ77 parsing…

Data Structures and Algorithms · Computer Science 2020-12-11 Juha Kärkkäinen , Dominik Kempa , Simon J. Puglisi

In this paper, the context dependence multilevel pattern matching(in short CDMPM) grammar transform is proposed; based on this grammar transform, the universal lossless data compression algorithm, CDMPM code is then developed. Moreover we…

Discrete Mathematics · Computer Science 2013-03-21 Chung-Song Kim , Chol-Hun Kim

Lossy compression algorithms take advantage of the inherent limitations of the human eye and discard information that cannot be seen. In the present paper, a technique termed as Lossy Data Compression using Logarithm (LDCL) is proposed to…

Information Theory · Computer Science 2016-04-08 Vivek Kumar , Srijita Barthwal , Rishabh Kishore , Ruchika Saklani , Anuj Sharma , Sandeep Sharma

Relative Lempel-Ziv (RLZ) is a popular algorithm for compressing databases of genomes from individuals of the same species when fast random access is desired. With Kuruppu et al.'s (SPIRE 2010) original implementation, a reference genome is…

Data Structures and Algorithms · Computer Science 2016-05-17 Anthony J. Cox , Andrea Farruggia , Travis Gagie , Simon J. Puglisi , Jouni Sirén

In the last few decades, research techniques have improved lossless compression ratios by significantly increasing processing time. However, these techniques have not gained popularity in industry because production systems require high…

Light-field fluorescence microscopy (LFM) is a powerful elegant compact method for long-term high-speed imaging of complex biological systems, such as neuron activities and rapid movements of organelles. LFM experiments typically generate…

Image and Video Processing · Electrical Eng. & Systems 2023-10-17 Changqing Su , Zihan Lin , You Zhou , Shuai Wang , Yuhan Gao , Chenggang Yan , Bo Xiong

Relative Lempel-Ziv (RLZ) parsing is a dictionary compression method in which a string $S$ is compressed relative to a second string $R$ (called the reference) by parsing $S$ into a sequence of substrings that occur in $R$. RLZ is…

Data Structures and Algorithms · Computer Science 2022-08-25 Philip Bille , Inge Li Gørtz , Simon J. Puglisi , Simon R. Tarnow

This paper studies variable-length (VL) source coding of general sources with side-information. Novel one-shot coding theorems for coding with common side-information available at the encoder and the decoder and Slepian- Wolf (SW) coding…

Information Theory · Computer Science 2014-04-09 Shigeaki Kuzuoka , Shun Watanabe

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

We propose a new representation of the offsets of the Lempel-Ziv (LZ) factorization based on the co-lexicographic order of the processed prefixes. The selected offsets tend to approach the k-th order empirical entropy. Our evaluations show…

Data Structures and Algorithms · Computer Science 2021-11-05 Dominik Köppl , Gonzalo Navarro , Nicola Prezza

In problems of lossy source/noisy channel coding with side information, the theoretical bounds are achieved using "good" source/channel codes that can be partitioned into "good" channel/source codes. A scheme that achieves optimality in…

Information Theory · Computer Science 2009-04-07 Lorenzo Cappellari

Recent advancements in large language models (LLMs) have enabled their successful application to a broad range of tasks. However, in information-intensive tasks, the prompt length can grow fast, leading to increased computational…

Computation and Language · Computer Science 2025-10-13 Weronika Łajewska , Momchil Hardalov , Laura Aina , Neha Anna John , Hang Su , Lluís Màrquez

Modern HPC applications produce increasingly large amounts of data, which limits the performance of current extreme-scale systems. Data reduction techniques, such as lossy compression, help to mitigate this issue by decreasing the size of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-13 Griffin Dube , Jiannan Tian , Sheng Di , Dingwen Tao , Jon Calhoun , Franck Cappello

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
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