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Automatic code optimization is a complex process that typically involves the application of multiple discrete algorithms that modify the program structure irreversibly. However, the design of these algorithms is often monolithic, and they…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Kazuaki Matsumura , Simon Garcia De Gonzalo , Antonio J. Peña

Matched decoding is a technique that enables the efficient maximum-likelihood sequence estimation of convolutionally encoded PAM-transmission over ISI-channels. Recently, we have shown that the super-trellis of encoder and channel can be…

Information Theory · Computer Science 2012-08-02 Fabian Schuh , Andreas Schenk , Johannes B. Huber

With rapid integration of power sources with uncertainty, robustness must be carefully considered in the transmission constrained unit commitment (TCUC) problem. The overall computational complexity of the robust TCUC methods is closely…

Optimization and Control · Mathematics 2018-10-16 Xuan Li , Qiaozhu Zhai , Xiaohong Guan

The approximate computation of twin-width has attracted significant attention already since the moment the parameter was introduced. A recently proposed approach (STACS 2024) towards obtaining a better understanding of this question is to…

Data Structures and Algorithms · Computer Science 2024-07-23 Jakub Balabán , Robert Ganian , Mathis Rocton

Classical turbo codes efficiently approach the Shannon limit, and so bringing these over to the quantum scenario would allow for rapid transmission of quantum information. Early on in the work of defining the quantum analogue, it was shown…

Quantum Physics · Physics 2019-10-21 Lane G. Gunderman

This paper considers a framework where data from correlated sources are transmitted with help of network coding in ad-hoc network topologies. The correlated data are encoded independently at sensors and network coding is employed in the…

Networking and Internet Architecture · Computer Science 2015-03-19 Hyunggon Park , Nikolaos Thomos , Pascal Frossard

We introduce a novel algorithm for approximating the logarithm of the determinant of a symmetric positive definite (SPD) matrix. The algorithm is randomized and approximates the traces of a small number of matrix powers of a specially…

Data Structures and Algorithms · Computer Science 2016-09-01 Christos Boutsidis , Petros Drineas , Prabhanjan Kambadur , Eugenia-Maria Kontopoulou , Anastasios Zouzias

Tensor train (TT) decomposition provides a space-efficient representation for higher-order tensors. Despite its advantage, we face two crucial limitations when we apply the TT decomposition to machine learning problems: the lack of…

Machine Learning · Statistics 2017-08-03 Masaaki Imaizumi , Takanori Maehara , Kohei Hayashi

The objective of this paper is to develop simple techniques to bound the optimal uplink sum-rate of multi-user RIS-aided wireless systems. Specifically, we develop a novel technique called \textit{channel separation} which provides a new…

Information Theory · Computer Science 2021-10-07 Ikram Singh , Peter J. Smith , Pawel A. Dmochowski

A method for construction of polar subcodes is presented, which aims on minimization of the number of low-weight codewords in the obtained codes, as well as on improved performance under list or sequential decoding. Simulation results are…

Information Theory · Computer Science 2017-05-04 Peter Trifonov , Grigorii Trofimiuk

The objective of the paper is to establish a computable upper bound for the almost sure convergence rate for a class of ratio consensus algorithms defined via column-stochastic matrices. Our result extends the works of Iutzeler et al.…

Optimization and Control · Mathematics 2022-04-06 Balázs Gerencsér

The rapid updates in error-resilient applications along with their quest for high throughput have motivated designing fast approximate functional units for Field-Programmable Gate Arrays (FPGAs). Studies that proposed imprecise functional…

Hardware Architecture · Computer Science 2022-06-29 Zahra Ebrahimi , Muhammad Zaid , Mark Wijtvliet , Akash Kumar

We study the Singleton-type bound that provides an upper limit on the minimum distance of locally repairable codes. We present an improved bound by carefully analyzing the combinatorial structure of the repair sets. Thus, we show the…

Information Theory · Computer Science 2020-11-11 Han Cai , Cuiling Fan , Ying Miao , Moshe Schwartz , Xiaohu Tang

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

Trellis-coded modulation (TCM) is a power and bandwidth efficient digital transmission scheme which offers very low structural delay of the data stream. Classical TCM uses a signal constellation of twice the cardinality compared to an…

Information Theory · Computer Science 2014-05-28 Fabian Schuh , Johannes B. Huber

Tensor decomposition has been widely used in machine learning and high-volume data analysis. However, large-scale tensor factorization often consumes huge memory and computing cost. Meanwhile, modernized computing hardware such as tensor…

Optimization and Control · Mathematics 2022-09-12 Zi Yang , Junnan Shan , Zheng Zhang

This paper presents a puncturing technique to design length-compatible polar codes. The punctured bits are identified with the help of differential evolution (DE). A DE-based optimization framework is developed where the sum of the…

Information Theory · Computer Science 2020-07-13 Kuntal Deka , Sanjeev Sharma

Modular quantum computing architectures require error correction schemes that remain effective in the presense of noisy inter-processor operations. We introduce a distributed quantum error correction framework based on approximate codes to…

Quantum Physics · Physics 2025-11-05 Connor Clayton , Bruno Avritzer

Rapid experimental advances now enable simultaneous electrophysiological recording of neural activity at single-cell resolution across large regions of the nervous system. Models of this neural network activity will necessarily increase in…

Neurons and Cognition · Quantitative Biology 2017-10-02 Andrea K. Barreiro , Cheng Ly

Tensor network contraction is central to problems ranging from many-body physics to computer science. We describe how to approximate tensor network contraction through bond compression on arbitrary graphs. In particular, we introduce a…

Quantum Physics · Physics 2024-01-30 Johnnie Gray , Garnet Kin-Lic Chan