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Tries are popular data structures for storing a set of strings, where common prefixes are represented by common root-to-node paths. Over fifty years of usage have produced many variants and implementations to overcome some of their…

Data Structures and Algorithms · Computer Science 2011-12-06 Roberto Grossi , Giuseppe Ottaviano

With the rapid proliferation of Internet of Things and intelligent edge devices, there is an increasing need for implementing machine learning algorithms, including deep learning, on resource-constrained mobile embedded devices with limited…

Machine Learning · Computer Science 2017-01-05 Wenjia Meng , Zonghua Gu , Ming Zhang , Zhaohui Wu

In real-world, many problems can be formulated as the alignment between two geometric patterns. Previously, a great amount of research focus on the alignment of 2D or 3D patterns, especially in the field of computer vision. Recently, the…

Machine Learning · Computer Science 2018-11-20 Hu Ding , Mingquan Ye

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

Compression aims to reduce the size of an input, while maintaining its relevant properties. For multi-parameter persistent homology, compression is a necessary step in any computational pipeline, since standard constructions lead to large…

Algebraic Topology · Mathematics 2022-08-17 Ulderico Fugacci , Michael Kerber , Alexander Rolle

A "bigger is better" explosion in the number of parameters in deep neural networks has made it increasingly challenging to make state-of-the-art networks accessible in compute-restricted environments. Compression techniques have taken on…

Computation and Language · Computer Science 2021-10-08 Orevaoghene Ahia , Julia Kreutzer , Sara Hooker

Lately, there has been an upsurge of interest in compressed data structures, aiming to pack ever larger quantities of information into constrained memory without sacrificing the efficiency of standard operations, like random access, search,…

Data Structures and Algorithms · Computer Science 2014-02-07 Gábor Rétvári , János Tapolcai , Attila Kőrösi , András Majdán , Zalán Heszberger

We consider the problem of optimally allocating a given total storage budget in a distributed storage system. A source has a data object which it can code and store over a set of storage nodes; it is allowed to store any amount of coded…

Information Theory · Computer Science 2016-11-15 Derek Leong , Alexandros G. Dimakis , Tracey Ho

Suppose there is a large file which should be transmitted (or stored) and there are several (say, m) admissible data-compressors. It seems natural to try all the compressors and then choose the best, i.e. the one that gives the shortest…

Information Theory · Computer Science 2018-09-11 Boris Ryabko

We consider the problem of learned transform compression where we learn both, the transform as well as the probability distribution over the discrete codes. We utilize a soft relaxation of the quantization operation to allow for…

Machine Learning · Computer Science 2021-05-05 Magda Gregorová , Marc Desaules , Alexandros Kalousis

We investigate lossy compression (source coding) of data in the form of permutations. This problem has direct applications in the storage of ordinal data or rankings, and in the analysis of sorting algorithms. We analyze the rate-distortion…

Information Theory · Computer Science 2016-11-18 Da Wang , Arya Mazumdar , Gregory Wornell

Despite their high accuracy, complex neural networks demand significant computational resources, posing challenges for deployment on resource constrained devices such as mobile phones and embedded systems. Compression algorithms have been…

Machine Learning · Computer Science 2025-09-23 Ali Aghababaei-Harandi , Massih-Reza Amini

This paper investigates data compression that simultaneously allows local decoding and local update. The main result is a universal compression scheme for memoryless sources with the following features. The rate can be made arbitrarily…

Information Theory · Computer Science 2019-10-15 Shashank Vatedka , Aslan Tchamkerten

Compression algorithms reduce the redundancy in data representation to decrease the storage required for that data. Data compression offers an attractive approach to reducing communication costs by using available bandwidth effectively.…

Information Theory · Computer Science 2007-07-13 B. S. Shajee Mohan , V. K. Govindan

This paper is dedicated to an efficient compression of weights and optimizer states (called checkpoints) obtained at different stages during a neural network training process. First, we propose a prediction-based compression approach, where…

Machine Learning · Computer Science 2025-06-16 Yuriy Kim , Evgeny Belyaev

We study the problem of compressing a source sequence in the presence of side-information that is related to the source via insertions, deletions and substitutions. We propose a simple algorithm to compress the source sequence when the…

Information Theory · Computer Science 2016-11-15 Nan Ma , Kannan Ramchandran , David Tse

A new scheme for the problem of centralized coded caching with non-uniform demands is proposed. The distinguishing feature of the proposed placement strategy is that it admits equal sub-packetization for all files while allowing the users…

Information Theory · Computer Science 2019-07-26 Saeid Sahraei , Pierre Quinton , Michael Gastpar

Dataset distillation, a training-aware data compression technique, has recently attracted increasing attention as an effective tool for mitigating costs of optimization and data storage. However, progress remains largely empirical.…

Machine Learning · Computer Science 2026-03-31 Yuri Kinoshita , Naoki Nishikawa , Taro Toyoizumi

The problem of lossless data compression with side information available to both the encoder and the decoder is considered. The finite-blocklength fundamental limits of the best achievable performance are defined, in two different versions…

Information Theory · Computer Science 2021-02-23 Lampros Gavalakis , Ioannis Kontoyiannis

Existing distribution compression methods reduce the number of observations in a dataset by minimising the Maximum Mean Discrepancy (MMD) between original and compressed sets, but modern datasets are often large in both sample size and…

Machine Learning · Statistics 2026-01-28 Dominic Broadbent , Nick Whiteley , Robert Allison , Tom Lovett