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This paper introduces a new counting code. Its design was motivated by distributed video coding where, for decoding, error correction methods are applied to improve predictions. Those error corrections sometimes fail which results in…

Information Theory · Computer Science 2008-02-04 Axel Lakus-Becker , Ka-Ming Leung

Linear regression is a fundamental and primitive problem in supervised machine learning, with applications ranging from epidemiology to finance. In this work, we propose methods for speeding up distributed linear regression. We do so by…

Information Theory · Computer Science 2024-04-02 Neophytos Charalambides , Hessam Mahdavifar , Mert Pilanci , Alfred O. Hero

Approximate Computing (AxC) techniques trade off the computation accuracy for performance, energy, and area reduction gains. The trade-off is particularly convenient when the applications are intrinsically tolerant to some accuracy loss, as…

Neural and Evolutionary Computing · Computer Science 2024-12-23 Sepide Saeedi , Alessio Carpegna , Alessandro Savino , Stefano Di Carlo

Spatially-coupled low-density parity-check codes attract much attention due to their capacity-achieving performance and a memory-efficient sliding-window decoding algorithm. On the other hand, the encoder needs to solve large linear…

Information Theory · Computer Science 2013-02-07 Koji Tazoe , Kenta Kasai , Kohichi Sakaniwa

Today's massively-sized datasets have made it necessary to often perform computations on them in a distributed manner. In principle, a computational task is divided into subtasks which are distributed over a cluster operated by a…

Information Theory · Computer Science 2017-06-20 Wael Halbawi , Navid Azizan-Ruhi , Fariborz Salehi , Babak Hassibi

Within the scope of this contribution we propose a novel efficient spatio-temporal prediction algorithm for video coding. The algorithm operates in two stages. First, motion compensation is performed on the block to be predicted in order to…

Image and Video Processing · Electrical Eng. & Systems 2022-07-21 Jürgen Seiler , Haricharan Lakshman , André Kaup

Polynomial based approaches, such as the Mat-Dot and entangled polynomial codes (EPC) have been used extensively within coded matrix computations to obtain schemes with good recovery thresholds. However, these schemes are well-recognized to…

Information Theory · Computer Science 2023-05-11 Kyungrak Son , Aditya Ramamoorthy

This paper proposes a new family of algorithms for training neural networks (NNs). These are based on recent developments in the field of non-convex optimization, going under the general name of successive convex approximation (SCA)…

Machine Learning · Statistics 2017-06-16 Simone Scardapane , Paolo Di Lorenzo

Tensors are a fundamental operation in distributed computing, \emph{e.g.,} machine learning, that are commonly distributed into multiple parallel tasks for large datasets. Stragglers and other failures can severely impact the overall…

Information Theory · Computer Science 2024-10-30 Pedro Soto

Gradient descent and its many variants, including mini-batch stochastic gradient descent, form the algorithmic foundation of modern large-scale machine learning. Due to the size and scale of modern data, gradient computations are often…

Machine Learning · Statistics 2018-05-29 Zachary Charles , Dimitris Papailiopoulos

In this paper, we present a multiplier based on a sequence of approximated accumulations. According to a given splitting point of the carry chains, the technique herein introduced allows varying the quality of the accumulations and,…

Hardware Architecture · Computer Science 2021-05-26 Jorge Echavarria , Stefan Wildermann , Oliver Keszocze , Faramarz Khosravi , Andreas Becher , Jürgen Teich

This paper presents a novel attention-based algorithm for achieving adaptive computation called DACT, which, unlike existing ones, is end-to-end differentiable. Our method can be used in conjunction with many networks; in particular, we…

Artificial Intelligence · Computer Science 2020-05-25 Cristobal Eyzaguirre , Alvaro Soto

In distributed computing systems, it is well recognized that worker nodes that are slow (called stragglers) tend to dominate the overall job execution time. Coded computation utilizes concepts from erasure coding to mitigate the effect of…

Information Theory · Computer Science 2018-09-18 Anindya B. Das , Li Tang , Aditya Ramamoorthy

In this article we extend the adaptive cross approximation (ACA) method known for the efficient approximation of discretisations of integral operators to a block-adaptive version. While ACA is usually employed to assemble hierarchical…

Numerical Analysis · Mathematics 2019-05-07 M. Bauer , M. Bebendorf

We study the optimal design of heterogeneous Coded Elastic Computing (CEC) where machines have varying computation speeds and storage. CEC introduced by Yang et al. in 2018 is a framework that mitigates the impact of elastic events, where…

Information Theory · Computer Science 2020-08-13 Nicholas Woolsey , Rong-Rong Chen , Mingyue Ji

Today's data centers have an abundance of computing resources, hosting server clusters consisting of as many as tens or hundreds of thousands of machines. To execute a complex computing task over a data center, it is natural to distribute…

Information Theory · Computer Science 2017-02-24 Qian Yu , Songze Li , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

Approximate computing (AxC) has been long accepted as a design alternative for efficient system implementation at the cost of relaxed accuracy requirements. Despite the AxC research activities in various application domains, AxC thrived the…

Hardware Architecture · Computer Science 2022-10-04 Jörg Henkel , Hai Li , Anand Raghunathan , Mehdi B. Tahoori , Swagath Venkataramani , Xiaoxuan Yang , Georgios Zervakis

Future networks are expected to connect an enormous number of nodes wirelessly using wide-band transmission. This brings great challenges. To avoid collecting a large amount of data from the massive number of nodes, computation over…

Information Theory · Computer Science 2019-06-04 Fangzhou Wu , Li Chen , Nan Zhao , Yunfei Chen , F. Richard Yu , Guo Wei

Because of their excellent asymptotic and finite-length performance, spatially-coupled (SC) codes are a class of low-density parity-check codes that is gaining increasing attention. Multi-dimensional (MD) SC codes are constructed by…

Information Theory · Computer Science 2025-10-08 Canberk İrimağzı , Ata Tanrıkulu , Ahmed Hareedy