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This article introduces randomized block Gram-Schmidt process (RBGS) for QR decomposition. RBGS extends the single-vector randomized Gram-Schmidt (RGS) algorithm and inherits its key characteristics such as being more efficient and having…

Numerical Analysis · Mathematics 2025-02-25 Oleg Balabanov , Laura Grigori

We develop two new designs of unitary differential space-time modulation (DSTM) with low decoding complexity. Their decoder can be separated into a few parallel decoders, each of which has a decoding search space of less than sqrt(N) if the…

Information Theory · Computer Science 2008-06-23 Chau Yuen , Yong Liang Guan , T. T. Tjhung

We introduce the Block-Recurrent Transformer, which applies a transformer layer in a recurrent fashion along a sequence, and has linear complexity with respect to sequence length. Our recurrent cell operates on blocks of tokens rather than…

Machine Learning · Computer Science 2022-11-03 DeLesley Hutchins , Imanol Schlag , Yuhuai Wu , Ethan Dyer , Behnam Neyshabur

In this paper, we suggest a new efficient algorithm in order to compute S-polynomial reduction rapidly in the known algorithm for computing Grobner bases, and compare the complexity with others.

Symbolic Computation · Computer Science 2015-07-14 Yong-Jin Kim , Hyon-Song Paek , Nam-Chol Kim , Chong-Il Byon

Associative division algebras are a rich source of fully diverse space-time block codes (STBCs). In this paper the systematic construction of fully diverse STBCs from nonassociative algebras is discussed. As examples, families of fully…

Information Theory · Computer Science 2012-02-07 Susanne Pumpluen , Thomas Unger

The computational complexity of optimum decoding for an orthogonal space-time block code G satisfying the orthogonality property that the Hermitian transpose of G multiplied by G is equal to a constant c times the sum of the squared symbols…

Information Theory · Computer Science 2009-10-13 Ender Ayanoglu , Erik G. Larsson , Eleftherios Karipidis

In distributed synchronous gradient descent (GD) the main performance bottleneck for the per-iteration completion time is the slowest \textit{straggling} workers. To speed up GD iterations in the presence of stragglers, coded distributed…

Information Theory · Computer Science 2020-11-04 Baturalp Buyukates , Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

Because of the emerging field of Internet of Things (IoT), future backscatter RFID is required to be more reliable and data intensive. Motivated by this, orthogonal space-time block code (OSTBC), which is very successful in mobile…

Information Theory · Computer Science 2015-02-18 Chen He , Z. Jane Wang , Victor C. M. Leung

This paper is concerned with block Markov superposition transmission (BMST) of tail-biting convolutional code (TBCC). We propose a new decoding algorithm for BMST-TBCC, which integrates a serial list Viterbi algorithm (SLVA) with a soft…

Information Theory · Computer Science 2019-02-27 Xiao Ma , Wenchao Lin , Suihua Cai , Baodian Wei

In the evolving landscape of 5G and 6G networks, the demands extend beyond high data rates, ultra-low latency, and extensive coverage, increasingly emphasizing the need for reliability. This paper proposes an ultra-reliable multiple-input…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Pedro Benevenuto Valadares , Jonathan Aguiar Soares , Kayol Mayer , Dalton Soares Arantes

We propose an algorithm for carrying out joint frame and frequency synchronization in reduced-guard-interval coherent optical orthogonal frequency division multiplexing (RGI-CO-OFDM) systems. The synchronization is achieved by using the…

Signal Processing · Electrical Eng. & Systems 2018-01-08 Oluyemi Omomukuyo , Deyuan Chang , Octavia Dobre , Ramachandran Venkatesan , Telex M. N. Ngatched

Astrochemical simulations are a powerful tool for revealing chemical evolution in the interstellar medium. Astrochemical calculations require efficient processing of large matrices for the chemical networks. The large chemical reaction…

Instrumentation and Methods for Astrophysics · Physics 2023-12-11 Kazutaka Motoyama , Ruben Krasnopolsky , Hsien Shang , Kento Aida , Eisaku Sakane

Whittle index is a generalization of Gittins index that provides very efficient allocation rules for restless multi-armed bandits. In this work, we develop an algorithm to test the indexability and compute the Whittle indices of any…

Computational Complexity · Computer Science 2023-06-23 Nicolas Gast , Bruno Gaujal , Kimang Khun

Successive cancellation (SC) process is an essential component of various decoding algorithms used for polar codes and their variants. Rewinding this process seems trivial if we have access to all intermediate log-likelihood ratios (LLRs)…

Information Theory · Computer Science 2021-09-23 Mohammad Rowshan , Emanuele Viterbo

We consider high-order splitting schemes for large-scale differential Riccati equations. Such equations arise in many different areas and are especially important within the field of optimal control. In the large-scale case, it is critical…

Optimization and Control · Mathematics 2018-08-14 Tony Stillfjord

This work presents a new, simple O(log^2|G|) algorithm, the Fibonacci cube algorithm, for producing random group elements in black box groups. After the initial O(log^2|G|) group operations, epsilon-uniform random elements are produced…

Probability · Mathematics 2007-05-23 Gene Cooperman

This paper proposes a fast Markov Matrix-based methodology for computing Top Trading Cycles (TTC) that delivers O(1) computational speed, that is speed independent of the number of agents and objects in the system. The proposed methodology…

Econometrics · Economics 2024-03-25 Irene Aldridge

Among the new techniques of Versatile Video Coding (VVC), the quadtree with nested multi-type tree (QT+MTT) block structure yields significant coding gains by providing more flexible block partitioning patterns. However, the recursive…

Image and Video Processing · Electrical Eng. & Systems 2025-07-16 Xinmin Feng , Zhuoyuan Li , Li Li , Dong Liu , Feng Wu

Complex Orthogonal Design (COD) codes are known to have the lowest detection complexity among Space-Time Block Codes (STBCs). However, the rate of square COD codes decreases exponentially with the number of transmit antennas. The…

Information Theory · Computer Science 2016-11-17 Amr Ismail , Jocelyn Fiorina , Hikmet Sari

A partial interference cancellation (PIC) group decoding based space-time block code (STBC) design criterion was recently proposed by Guo and Xia, where the decoding complexity and the code rate trade-off is dealt when the full diversity is…

Information Theory · Computer Science 2010-01-04 Wei Zhang , Tianyi Xu , Xiang-Gen Xia