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Motion planning problems have been studied by both the robotics and the controls research communities for a long time, and many algorithms have been developed for their solution. Among them, incremental sampling-based motion planning…

Robotics · Computer Science 2012-05-01 Oktay Arslan , Panagiotis Tsiotras

This brief note corrects some errors in the paper quoted in the title, highlights a combinatorial result which may have been overlooked, and points to further improvements in recent literature.

Algebraic Geometry · Mathematics 2008-02-03 J. Maurice Rojas

Chinese Remainder Theorem (CRT) is a powerful approach to solve ambiguity resolution related problems such as undersampling frequency estimation and phase unwrapping which are widely applied in localization. Recently, the deterministic…

Information Theory · Computer Science 2018-07-03 Hanshen Xiao , Guoqiang Xiao

An error analysis is presented for explicit partitioned Runge-Kutta methods and multirate methods applied to conservation laws. The interfaces, across which different methods or time steps are used, lead to order reduction of the schemes.…

Numerical Analysis · Mathematics 2013-10-29 Willem Hundsdorfer , David I. Ketcheson , Igor Savostianov

Low discrepancy point sets have been widely used as a tool to approximate continuous objects by discrete ones in numerical processes, for example in numerical integration. Following a century of research on the topic, it is still unclear…

Computational Geometry · Computer Science 2024-07-17 François Clément , Carola Doerr , Kathrin Klamroth , Luís Paquete

Encoding data as a set of unordered strings is receiving great attention as it captures one of the basic features of DNA storage systems. However, the challenge of constructing optimal redundancy codes for this channel remained elusive. In…

Information Theory · Computer Science 2023-08-16 Jin Sima , Netanel Raviv , Jehoshua Bruck

In this paper we study the geometric discrepancy of explicit constructions of uniformly distributed points on the two-dimensional unit sphere. We show that the spherical cap discrepancy of random point sets, of spherical digital nets and of…

Numerical Analysis · Mathematics 2014-02-17 Christoph Aistleitner , Johann Brauchart , Josef Dick

We correct an important misprint in the journal version of our earlier work on "New Jet Cluster Algorithms: Next-to-leading Order QCD...", published in Nucl. Phys. B 370 (1992) 310, which may have lead to an incorrect parametrisation of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Bethke , Z. Kunszt , D. E. Soper , W. J. Stirling

We present improved algorithms for fast calculation of the inverse square root for single-precision floating-point numbers. The algorithms are much more accurate than the famous fast inverse square root algorithm and have the same or…

Numerical Analysis · Computer Science 2018-02-22 Cezary J. Walczyk , Leonid V. Moroz , Jan L. Cieśliński

We report on a particular example of noise and data representation interacting to introduce systematic error. Many instruments collect integer digitized values and appy nonlinear coding, in particular square-root coding, to compress the…

Instrumentation and Methods for Astrophysics · Physics 2022-08-17 C. E. DeForest , C. Lowder , D. B. Seaton , M. J. West

Segment routing (SR) offers precise control over the paths taken: it specifies a list of detours, called segments, in IP packets. However, the number of detours that can be specified is limited by the hardware. When calculating segment…

Networking and Internet Architecture · Computer Science 2024-05-15 Quentin Bramas , Jean-Romain Luttringer , Pascal Mérindol

This work develops a distributed optimization strategy with guaranteed exact convergence for a broad class of left-stochastic combination policies. The resulting exact diffusion strategy is shown in Part II to have a wider stability range…

Optimization and Control · Mathematics 2017-12-05 Kun Yuan , Bicheng Ying , Xiaochuan Zhao , Ali H. Sayed

Spectral graph bisections are a popular heuristic aimed at approximating the solution of the NP-complete graph bisection problem. This technique, however, does not always provide a robust tool for graph partitioning. Using a special class…

Numerical Analysis · Mathematics 2015-12-22 John C. Urschel , Ludmil T. Zikatanov

Errors in the published version of the paper are corrected, and new figures are provided.

High Energy Physics - Phenomenology · Physics 2008-11-26 E. L. Berger , M. Klasen , T. M. P. Tait

In the paper Factorisation of division polynomials (H. Verdure, Proc. japan Academy, Ser A. 80 n. 5), Verdure gives the factorisation patterns of division polynomials of elliptic curves defined over a finite field. However, the result given…

Number Theory · Mathematics 2007-05-23 D. Sadornil

Various bias-correction methods such as EXTRA, gradient tracking methods, and exact diffusion have been proposed recently to solve distributed {\em deterministic} optimization problems. These methods employ constant step-sizes and converge…

Machine Learning · Computer Science 2023-07-19 Kun Yuan , Sulaiman A. Alghunaim , Bicheng Ying , Ali H. Sayed

This paper is a corrigendum to the paper by Beigi et al. published at HPCA 2023 https://doi.org/10.1109/HPCA56546.2023.10071066. The HPCA paper presented a detailed field data analysis of faults observed at scale in DDR4 DRAM from two…

Hardware Architecture · Computer Science 2024-08-29 Majed Valad Beigi , Yi Cao , Sudhanva Gurumurthi , Charles Recchia , Andrew Walton , Vilas Sridharan

In this work the undetected error probability performance of the proposed in the technical specification of 5G new radio cyclic redundancy-check codes taking into consideration that they have to work for fixed interval of lengths are…

Information Theory · Computer Science 2021-04-07 Tsonka Baicheva , Peter Kazakov , Miroslav Dimitrov

OT (Operational Transformation) was invented for supporting real-time co-editors in the late 1980s and has evolved to become core techniques widely used in today's working co-editors and adopted in industrial products. CRDT (Commutative…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-11 David Sun , Chengzheng Sun , Agustina Ng , Weiwei Cai

We introduce the sum channel, a new channel model motivated by applications in distributed storage and DNA data storage. In the error-free case, it takes as input an $\ell$-row binary matrix and outputs an $(\ell+1)$-row matrix whose first…

Information Theory · Computer Science 2026-04-14 Lyan Abboud , Eitan Yaakobi
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