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We describe a novel extension of subspace codes for noncoherent networks, suitable for use when the network is viewed as a communication system that introduces both dimension and symbol errors. We show that when symbol erasures occur in a…

Information Theory · Computer Science 2012-09-25 Vitaly Skachek , Olgica Milenkovic , Angelia Nedic

The ubiquitous time-delay estimation (TDE) problem becomes nontrivial when sensors are non-co-located and communication between them is limited. Building on the recently proposed "extremum encoding" compression-estimation scheme, we address…

Signal Processing · Electrical Eng. & Systems 2024-12-25 Amir Weiss , Yuval Kochman , Gregory W. Wornell

Recently, arithmetic coding has attracted the attention of many scholars because of its high compression capability. Accordingly, in this paper a method which adds secrecy to this well-known source code is proposed. Finite state arithmetic…

Cryptography and Security · Computer Science 2012-06-06 Hashem Moradmand Ziyabar , Mahnaz Sinaie , Ali Payandeh , Vahid Tabataba Vakili

By frequency-band extracting, we experimentally and theoretically investigate time-delay signature (TDS) suppression and entropy growth enhancement of a chaotic optical-feedback semiconductor laser under different injection currents and…

Optics · Physics 2021-04-27 Yanqiang Guo , Tong Liu , Tong Zhao , Haojie Zhang , Xiaomin Guo

We present a development of parts of rate-distortion theory and pattern- matching algorithms for lossy data compression, centered around a lossy version of the Asymptotic Equipartition Property (AEP). This treatment closely parallels the…

Probability · Mathematics 2007-07-16 A. Dembo , I. Kontoyiannis

In Federated Learning (FL), anomaly detection (AD) is a challenging task due to the decentralized nature of data and the presence of non-IID data distributions. This study introduces a novel federated threshold calculation method that…

Machine Learning · Computer Science 2024-10-15 Sofiane Laridi , Gregory Palmer , Kam-Ming Mark Tam

The large memory requirements of deep neural networks limit their deployment and adoption on many devices. Model compression methods effectively reduce the memory requirements of these models, usually through applying transformations such…

Machine Learning · Computer Science 2017-11-15 Brandon Reagen , Udit Gupta , Robert Adolf , Michael M. Mitzenmacher , Alexander M. Rush , Gu-Yeon Wei , David Brooks

In this study, a novel coding scheme called highdensity coding based on high-density codebooks using a genetic local search algorithm is proposed. The high-density codebook maximizes the energy transfer capability by maximizing the ratio of…

Signal Processing · Electrical Eng. & Systems 2022-03-21 Dongheon Lee , Gyuyeol Kong , Jang-Won Lee , Sooyong Choi

Given the importance of the claim, we want to start by exposing the following consideration: this claim comes out more than a year after the article "Practical applications of Set Shaping Theory in Huffman coding" which reports the program…

Information Theory · Computer Science 2024-01-02 Aida Koch , Alix Petit , Christian Schmidt , Adrain Vdberg , Logan Lewis

We propose a new compression scheme for genomic data given as sequence fragments called reads. The scheme uses a reference genome at the decoder side only, freeing the encoder from the burdens of storing references and performing…

Information Theory · Computer Science 2023-02-10 Yotam Gershon , Yuval Cassuto

Training and serving Large Language Models (LLMs) require partitioning data across multiple accelerators, where collective operations are frequently bottlenecked by network bandwidth. Lossless compression using Huffman codes is an effective…

We present a new information-theoretic definition and associated results, based on list decoding in a source coding setting. We begin by presenting list-source codes, which naturally map a key length (entropy) to list size. We then show…

Information Theory · Computer Science 2012-10-09 Flavio du Pin Calmon , Muriel Médard , Linda M. Zeger , João Barros , Mark M. Christiansen , Ken. R. Duffy

We present a three-dimensional generalization of a renormalization group decoding algorithm for topological codes with Abelian anyonic excitations that we previously introduced for two dimensions. This 3D implementation extends our previous…

Quantum Physics · Physics 2013-11-20 Guillaume Duclos-Cianci , David Poulin

In a distributed information application an encoder compresses an arbitrary vector while a similar reference vector is available to the decoder as side information. For the Hamming-distance similarity measure, and when guaranteed perfect…

Information Theory · Computer Science 2020-09-08 Yuval Cassuto , Jacob Ziv

This paper presents new lower and upper bounds for the compression rate of binary prefix codes optimized over memoryless sources according to various nonlinear codeword length objectives. Like the most well-known redundancy bounds for…

Information Theory · Computer Science 2010-10-08 Michael B. Baer

Recently, error correcting codes in the erasure channel have drawn great attention for various applications such as distributed storage systems and wireless sensor networks, but many of their decoding algorithms are not practical because…

Information Theory · Computer Science 2017-04-25 Chanki Kim , Jong-Seon No

Recent learning-based lossless image compression methods encode an image in the unit of subimages and achieve comparable performances to conventional non-learning algorithms. However, these methods do not consider the performance drop in…

Image and Video Processing · Electrical Eng. & Systems 2021-12-14 Hochang Rhee , Yeong Il Jang , Seyun Kim , Nam Ik Cho

Huffman coding is a widely used method for lossless data compression because it optimally stores data based on how often the characters occur in Huffman trees. An $n$-ary Huffman tree is a connected, cycle-lacking graph where each vertex…

Information Theory · Computer Science 2013-03-22 Angeline Rao , Ying Liu , Yezhou Feng , Jian Shen

Many information systems employ lossy compression as a crucial intermediate stage among other processing components. While the important distortion is defined by the system's input and output signals, the compression usually ignores the…

Information Theory · Computer Science 2018-05-14 Yehuda Dar , Michael Elad , Alfred M. Bruckstein

Maximum distance separable (MDS) array codes are widely employed in modern distributed storage systems to provide high data reliability with small storage overhead. Compared with the data access latency of the entire file, the data access…

Information Theory · Computer Science 2025-01-22 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Linqi Song , Hanxu Hou
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