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Generative adversarial networks (GANs) have attracted intense interest in the field of generative models. However, few investigations focusing either on the theoretical analysis or on algorithm design for the approximation ability of the…

Machine Learning · Computer Science 2020-07-14 Xuejiao Liu , Yao Xu , Xueshuang Xiang

Due to the impressive learning power, deep learning has achieved a remarkable performance in supervised hash function learning. In this paper, we propose a novel asymmetric supervised deep hashing method to preserve the semantic structure…

Computer Vision and Pattern Recognition · Computer Science 2018-01-26 Jinxing Li , Bob Zhang , Guangming Lu , David Zhang

In this paper, we aim to identify the strategies that can maximize and monotonically increase the density of the coding opportunities in instantly decodable network coding (IDNC).Using the well-known graph representation of IDNC, first…

Information Theory · Computer Science 2013-04-22 Sameh Sorour , Shahrokh Valaee

We analyze a simple network where a source and a receiver are connected by a line of erasure channels of different reliabilities. Recent prior work has shown that random linear network coding can achieve the min-cut capacity and therefore…

Information Theory · Computer Science 2009-10-22 Theodoros K. Dikaliotis , Alexandros G. Dimakis , Tracey Ho , Michelle Effros

A set of linearly constrained permutation matrices are proposed for constructing a class of permutation codes. Making use of linear constraints imposed on the permutation matrices, we can formulate a minimum Euclidian distance decoding…

Information Theory · Computer Science 2015-03-17 Tadashi Wadayama , Manabu Hagiwara

In this paper a randomness evaluation of a block cipher for secure image communication is presented. The GFHT cipher is a genetic algorithm, that combines gene fusion (GF) and horizontal gene transfer (HGT) both inspired from antibiotic…

Cryptography and Security · Computer Science 2020-08-11 Zoubir Hamici

DNA storage has emerged as an important area of research. The reliability of DNA storage system depends on designing the DNA strings (called DNA codes) that are sufficiently dissimilar. In this work, we introduce DNA codes that satisfy a…

Information Theory · Computer Science 2022-11-28 Krishna Gopal Benerjee , Sourav Deb , Manish K Gupta

In 2016, Karney proposed an exact sampling algorithm for the standard normal distribution. In this paper, we study the computational complexity of this algorithm under the random deviate model. Specifically, Karney's algorithm requires the…

Data Structures and Algorithms · Computer Science 2020-08-11 Yusong Du , Baoying Fan , Baodian Wei

The aim of the study presented here was the analysis of packings generated according to random sequential adsorption protocol consisting of identical Platonic and Archimedean solids. The computer simulations performed showed, that the…

Disordered Systems and Neural Networks · Physics 2019-11-25 Piotr Kubala

With the increase of huge amounts of data in volume, velocity, and variety, the need for capacity of Redundant Arrays of Inexpensive Disks (RAID) storage systems is dramatically growing. However, the probability of disk failures in RAID…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-15 De-zhai Yuan , Xing-yi Peng , Ting Liu , Zhe Cui

In this paper we study the problem of increasing the decoding success probability of random linear fountain code over GF(2) for small packet lengths used in delay-intolerant applications such as multimedia streaming. Such code over GF(2)…

Networking and Internet Architecture · Computer Science 2017-02-09 Jalaluddin Qureshi

We describe a generalization of the group testing problem termed symmetric group testing. Unlike in classical binary group testing, the roles played by the input symbols zero and one are "symmetric" while the outputs are drawn from a…

Information Theory · Computer Science 2011-08-16 Amin Emad , Jun Shen , Olgica Milenkovic

This paper proposes a new lossless data compression coding scheme named an asymmetric encoding-decoding scheme (AEDS), which can be considered as a generalization of tANS (tabled variant of asymmetric numeral systems). In the AEDS, a data…

Information Theory · Computer Science 2026-01-26 Hirosuke Yamamoto , Ken-ichi Iwata

In [1], the authors proposed a new model of DNA storage system that integrates all three steps of retrieval and introduced the concept of DNA-correcting codes, which guarantees that the output of the storage system can be decoded to the…

Information Theory · Computer Science 2023-11-17 Huawei Wu

We consider the problem of geographically distributed data storage in a network of servers (or nodes) where the nodes are connected to each other via communication links having certain round-trip times (RTTs). Each node serves a specific…

Information Theory · Computer Science 2024-05-14 Srivathsa Acharya , P. Vijay Kumar , Viveck R. Cadambe

Most of the existing works on provable guarantees for low-rank matrix completion algorithms rely on some unrealistic assumptions such that matrix entries are sampled randomly or the sampling pattern has a specific structure. In this work,…

Machine Learning · Statistics 2023-06-06 Hanbyul Lee , Rahul Mazumder , Qifan Song , Jean Honorio

Batched network coding is a variation of random linear network coding which has low computational and storage costs. In order to adapt to random fluctuations in the number of erasures in individual batches, it is not optimal to recode and…

Information Theory · Computer Science 2021-09-16 Hoover H. F. Yin , Bin Tang , Ka Hei Ng , Shenghao Yang , Xishi Wang , Qiaoqiao Zhou

We consider a scenario of broadcasting information over a network of nodes connected by noiseless communication links. A source node in the network has some data packets to broadcast. It encodes these data packets into $n$ coded packets in…

Information Theory · Computer Science 2020-02-12 B. R. Vinay Kumar , Navin Kashyap

Fundamental rate-distortion-perception (RDP) trade-offs arise in applications requiring maintained perceptual quality of reconstructed data, such as neural image compression. When compressed data is transmitted over public communication…

Information Theory · Computer Science 2026-04-23 Gustaf Åhlgren , Onur Günlü

The concept of the smoothing parameter plays a crucial role in both lattice-based and code-based cryptography, primarily due to its effectiveness in achieving nearly uniform distributions through the addition of noise. Recent research by…

Information Theory · Computer Science 2024-05-17 Hao Yan , Cong Ling