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The massive quantities of genomic data being made available through gene sequencing techniques are enabling breakthroughs in genomic science in many areas such as medical advances in the diagnosis and treatment of diseases. Analyzing this…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-24 Wayne Joubert , James Nance , Sharlee Climer , Deborah Weighill , Daniel Jacobson

In this paper, we compare the finite-length performance of protograph-based spatially coupled low-density parity-check (SC-LDPC) codes and LDPC block codes (LDPC-BCs) over GF(q). In order to reduce computational complexity and latency, a…

Information Theory · Computer Science 2014-08-13 Kechao Huang , David G. M. Mitchell , Lai Wei , Xiao Ma , Daniel J. Costello

Continuous-variable quantum computing architectures based upon the Gottesmann-Kitaev-Preskill (GKP) encoding have emerged as a promising candidate because one can achieve fault-tolerance with a probabilistic supply of GKP states and…

Quantum Physics · Physics 2024-02-07 Matthew P. Stafford , Nicolas C. Menicucci

Design criteria and full-diversity Distributed Space Time Codes (DSTCs) for the two phase transmission based cooperative diversity protocol of Jing-Hassibi and the Generalized Nonorthogonal Amplify and Forward (GNAF) protocol are reported,…

Information Theory · Computer Science 2007-07-13 G. Susinder Rajan , B. Sundar Rajan

We propose a new code design that aims to distribute an LDPC code over a relay channel. It is based on a split-and-extend approach, which allows the relay to split the set of bits connected to some parity-check of the LDPC code into two or…

Information Theory · Computer Science 2010-04-30 Valentin Savin

Coded distributed computing was recently introduced to mitigate the effect of stragglers on distributed computing. This paper combines ideas of approximate computing with coded computing to further accelerate computation. We propose…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-11 Shahrzad Kiani , Stark C. Draper

We study a generalization of deduplication, which enables lossless deduplication of highly similar data and show that standard deduplication with fixed chunk length is a special case. We provide bounds on the expected length of coded…

Information Theory · Computer Science 2020-03-04 Rasmus Vestergaard , Qi Zhang , Daniel E. Lucani

Spatially coupled low-density parity-check (SC-LDPC) codes can achieve the channel capacity under low-complexity belief propagation (BP) decoding, however, there is a non-negligible rate-loss because of termination effects for practical…

Information Theory · Computer Science 2015-12-16 Sebastian Cammerer , Vahid Aref , Laurent Schmalen , Stephan ten Brink

A low-complexity point cloud compression method called the Green Point Cloud Geometry Codec (GPCGC), is proposed to encode the 3D spatial coordinates of static point clouds efficiently. GPCGC consists of two modules. In the first module,…

Image and Video Processing · Electrical Eng. & Systems 2023-02-14 Qingyang Zhou , Shan Liu , C. -C. Jay Kuo

In this study, the performance of generalized low-density parity-check (GLDPC) codes under the a posteriori probability (APP) decoder is analyzed. We explore the concentration, symmetry, and monotonicity properties of GLDPC codes under the…

Information Theory · Computer Science 2024-08-07 Dongxu Chang , Qingqing Peng , Zhiming Ma , Guanghui Wang , Dawei Yin

Modifications to test-time sampling have emerged as an important extension to diffusion algorithms, with the goal of biasing the generative process to achieve a given objective without having to retrain the entire diffusion model. However,…

Machine Learning · Computer Science 2026-04-21 Hao Luan , Yi Xian Goh , See-Kiong Ng , Chun Kai Ling

In recent years, complementary sequence sets have found many important applications in multi-carrier code-division multiple-access (MC-CDMA) systems for their good correlation properties. In this paper, we propose a construction, which can…

Information Theory · Computer Science 2021-05-24 Zhengchun Zhou , Fangrui Liu , Avik Ranjan Adhikary , Pingzhi Fan

In this paper we study the iterative decoding threshold performance of non-binary spatially-coupled low-density parity-check (NB-SC-LDPC) code ensembles for both the binary erasure channel (BEC) and the binary-input additive white Gaussian…

Information Theory · Computer Science 2016-11-18 Lai Wei , Toshiaki Koike-Akino , David G. M. Mitchell , Thomas E. Fuja , Daniel J. Costello

Traditional dictionary learning based CT reconstruction methods are patch-based and the features learned with these methods often contain shifted versions of the same features. To deal with these problems, the convolutional sparse coding…

Medical Physics · Physics 2018-10-16 Peng Bao , Wenjun Xia , Kang Yang , Jiliu Zhou , Yi Zhang

This paper considers a compressed-coding scheme that combines compressed sensing with forward error control coding. Approximate message passing (AMP) is used to decode the message. Based on the state evolution analysis of AMP, we derive the…

Information Theory · Computer Science 2024-10-30 Shansuo Liang , Chulong Liang , Junjie Ma , Li Ping

We apply the generalized sphere-packing bound to two classes of subblock-constrained codes. A la Fazeli et al. (2015), we made use of automorphism to significantly reduce the number of variables in the associated linear programming problem.…

Information Theory · Computer Science 2019-01-03 Han Mao Kiah , Anshoo Tandon , Mehul Motani

In this study, we propose partitioned complementary sequences (CSs) where the gaps between the clusters encode information bits to achieve low peak-to-average-power ratio (PAPR) orthogonal frequency division multiplexing (OFDM) symbols. We…

Information Theory · Computer Science 2021-09-16 Alphan Sahin

Convolutional neural network (CNN) and its variants have led to many state-of-art results in various fields. However, a clear theoretical understanding about them is still lacking. Recently, multi-layer convolutional sparse coding (ML-CSC)…

Machine Learning · Computer Science 2020-07-22 Zhiyang Zhang , Shihua Zhang

Performance and complexity of sequential decoding of polarization-adjusted convolutional (PAC) codes is studied. In particular, a performance and computational complexity comparison of PAC codes with 5G polar codes and convolutional codes…

Information Theory · Computer Science 2020-12-18 Mohsen Moradi , Amir Mozammel , Kangjian Qin , Erdal Arikan

In this paper, we study the density evolution analysis of spatially coupled low-density parity-check (SC-LDPC) codes over binary input additive white Gaussian noise (BIAWGN) channels under the belief propagation (BP) decoding algorithm.…

Information Theory · Computer Science 2015-10-19 Md. Noor-A-Rahim , Gottfried Lechner , Khoa D. Nguyen
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