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Optimizing distributed learning systems is an art of balancing between computation and communication. There have been two lines of research that try to deal with slower networks: {\em communication compression} for low bandwidth networks,…

Machine Learning · Computer Science 2019-02-04 Hanlin Tang , Shaoduo Gan , Ce Zhang , Tong Zhang , Ji Liu

Inpainting-based compression represents images in terms of a sparse subset of its pixel data. Storing the carefully optimised positions of known data creates a lossless compression problem on sparse and often scattered binary images. This…

Image and Video Processing · Electrical Eng. & Systems 2021-08-03 Rahul Mohideen Kaja Mohideen , Pascal Peter , Joachim Weickert

Set intersection is a fundamental operation in information retrieval and database systems. This paper introduces linear space data structures to represent sets such that their intersection can be computed in a worst-case efficient way. In…

Databases · Computer Science 2011-03-15 Bolin Ding , Arnd Christian König

We present a construction of subspace codes along with an efficient algorithm for list decoding from both insertions and deletions, handling an information-theoretically maximum fraction of these with polynomially small rate. Our…

Information Theory · Computer Science 2012-02-03 Venkatesan Guruswami , Srivatsan Narayanan , Carol Wang

Graphics Processing Units allow for running massively parallel applications offloading the CPU from computationally intensive resources, however GPUs have a limited amount of memory. In this paper a trie compression algorithm for massively…

Data Structures and Algorithms · Computer Science 2017-02-20 Xavier Bellekens , Amar Seeam , Christos Tachtatzis , Robert Atkinson

Many combinatorial optimization problems (COPs) are naturally expressed using variables that take on more than two discrete values. To solve such problems using Ising machines (IMs) - specialized analog or digital devices designed to solve…

Statistical Mechanics · Physics 2025-08-06 Robbe De Prins , Guy Van der Sande , Peter Bienstman , Thomas Van Vaerenbergh

Matrix-vector multiplication forms the basis of many iterative solution algorithms and as such is an important algorithm also for hierarchical matrices which are used to represent dense data in an optimized form by applying low-rank…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-30 Ronald Kriemann

We use neural network algorithms for finding compression methods of images in the framework of iterated function systems which is a collection of the transformations of the interval $(0, 1)$ satisfying suitable properties.

Image and Video Processing · Electrical Eng. & Systems 2023-06-22 Orchidea Maria Lecian , Brunello Tirozzi

Compressing integer keys is a fundamental operation among multiple communities, such as database management (DB), information retrieval (IR), and high-performance computing (HPC). Recent advances in \emph{learned indexes} have inspired the…

Databases · Computer Science 2024-12-17 Qiyu Liu , Siyuan Han , Jianwei Liao , Jin Li , Jingshu Peng , Jun Du , Lei Chen

In recent studies [1][13][12] Recurrent Neural Networks were used for generative processes and their surprising performance can be explained by their ability to create good predictions. In addition, data compression is also based on…

Computation and Language · Computer Science 2017-05-03 Juan Andrés Laura , Gabriel Masi , Luis Argerich

Dimension reduction is widely regarded as an effective way for decreasing the computation, storage and communication loads of data-driven intelligent systems, leading to a growing demand for statistical methods that allow analysis (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2019-08-23 Guangcan Liu , Zhao Zhang , Qingshan Liu , Kongkai Xiong

Model compression has gained significant popularity as a means to alleviate the computational and memory demands of machine learning models. Each compression technique leverages unique features to reduce the size of neural networks.…

Machine Learning · Computer Science 2024-08-20 Yingtao Shen , Minqing Sun , Jianzhe Lin , Jie Zhao , An Zou

Bitmap indexes are commonly used in databases and search engines. By exploiting bit-level parallelism, they can significantly accelerate queries. However, they can use much memory, and thus we might prefer compressed bitmap indexes.…

Databases · Computer Science 2016-04-12 Samy Chambi , Daniel Lemire , Owen Kaser , Robert Godin

We introduce alphabet-permutation (AP) codes, a new family of error-correcting codes defined by iteratively applying random coordinate-wise permutations to a fixed initial word. A special case recovers random additive codes and random…

Information Theory · Computer Science 2025-05-12 Sergey Komech , Jonathan Mosheiff

In many important applications -- such as search engines and relational database systems -- data is stored in the form of arrays of integers. Encoding and, most importantly, decoding of these arrays consumes considerable CPU time.…

Information Retrieval · Computer Science 2021-02-02 Daniel Lemire , Leonid Boytsov

We study a mutually enriching connection between response time analysis in real-time systems and the mixing set problem. Thereby generalizing over known results we present a new approach to the computation of response times in…

Data Structures and Algorithms · Computer Science 2023-11-02 Max A. Deppert , Klaus Jansen

A deep learning system typically suffers from a lack of reproducibility that is partially rooted in hardware or software implementation details. The irreproducibility leads to skepticism in deep learning technologies and it can hinder them…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Jiahao Pang , Muhammad Asad Lodhi , Junghyun Ahn , Yuning Huang , Dong Tian

Traditionally, data compression deals with the problem of concisely representing a data source, e.g. a sequence of letters, for the purpose of eventual reproduction (either exact or approximate). In this work we are interested in the case…

Information Theory · Computer Science 2013-12-10 Amir Ingber , Tsachy Weissman

Resource allocation is a fundamental problem in Industrial Internet of Things (IIoT) systems, in which devices work together under limited communication bandwidth to complete diverse tasks. This paper proposes a communication-efficient…

Optimization and Control · Mathematics 2026-05-26 Yuzhu Duan , Ziwen Yang , Xiaoming Duan , Shanying Zhu

Variational inequalities as an effective tool for solving applied problems, including machine learning tasks, have been attracting more and more attention from researchers in recent years. The use of variational inequalities covers a wide…

Optimization and Control · Mathematics 2024-12-20 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov