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This paper was withdrawn by the authors.

Algebraic Geometry · Mathematics 2016-08-15 Francisco J. Plaza Martín

This paper has been withdrawn. See published paper http://arxiv.org/math.HO/0512390

History and Overview · Mathematics 2007-05-23 Germano D'Abramo

This paper has been withdrawn by the author due to an error in the proof.

Combinatorics · Mathematics 2008-03-12 J. Shen

This paper has been withdrawn by the author.

Analysis of PDEs · Mathematics 2007-12-27 G. Liu

Distributed machine learning algorithms enable learning of models from datasets that are distributed over a network without gathering the data at a centralized location. While efficient distributed algorithms have been developed under the…

Machine Learning · Computer Science 2020-07-07 Zhixiong Yang , Waheed U. Bajwa

The authors have withdrawn this article [arXiv admin].

Atmospheric and Oceanic Physics · Physics 2015-05-14 Matthias Delpey , Fabrice Ardhuin , Fabrice Collard , Bertrand Chapron

This paper considers rateless network error correction codes for reliable multicast in the presence of adversarial errors. Most existing network error correction codes are designed for a given network capacity and maximum number of errors…

Information Theory · Computer Science 2013-01-15 Wentao Huang , Tracey Ho , Hongyi Yao , Sidharth Jaggi

In this paper, we study the problem of distributed training (DT) under Byzantine attacks with communication constraints. While prior work has developed various robust aggregation rules at the server to enhance robustness to Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-01 Chengxi Li , Youssef Allouah , Rachid Guerraoui , Mikael Skoglund , Ming Xiao

This submission has been withdrawn by the author.

Information Theory · Computer Science 2007-07-13 Bin Dai , Yuan Luo

This paper has been withdrawn by the author due to its publication

Optimization and Control · Mathematics 2007-09-18 Jiawang Nie

This paper has been withdrawn by the author.

High Energy Physics - Lattice · Physics 2007-05-23 Hiroshi Suzuki

This paper considers a distributed optimization problem in the presence of Byzantine agents capable of introducing untrustworthy information into the communication network. A resilient distributed subgradient algorithm is proposed based on…

Optimization and Control · Mathematics 2023-03-22 Jingxuan Zhu , Yixuan Lin , Alvaro Velasquez , Ji Liu

This paper has been withdrawn by the authors because the results obtained have been reported earlier by other authors.

Quantum Physics · Physics 2007-05-23 Marcos Curty , David J. Santos

This paper has been withdrawn by the authors

Systems and Control · Computer Science 2015-03-19 Hao Zhu , Georgios B. Giannakis

This paper has been withdrawn by the author

Information Theory · Computer Science 2007-09-19 Mylene Pischella , Jean-Claude Belfiore

A plethora of modern machine learning tasks require the utilization of large-scale distributed clusters as a critical component of the training pipeline. However, abnormal Byzantine behavior of the worker nodes can derail the training and…

Machine Learning · Computer Science 2023-05-16 Konstantinos Konstantinidis , Namrata Vaswani , Aditya Ramamoorthy

This paper has been withdrawn

Number Theory · Mathematics 2007-05-23 Alex V. Kontorovich

Secure networks rely upon players to maintain security and reliability. However not every player can be assumed to have total loyalty and one must use methods to uncover traitors in such networks. We use the original concept of the…

Cryptography and Security · Computer Science 2007-05-23 Liam Wagner , Stuart McDonald