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A distributed computing scenario is considered, where the computational power of a set of worker nodes is used to perform a certain computation task over a dataset that is dispersed among the workers. Lagrange coded computing (LCC),…

Information Theory · Computer Science 2021-02-02 Mahdi Soleymani , Hessam Mahdavifar , A. Salman Avestimehr

Artificial intelligence (AI) provides an alternative way to design channel coding with affordable complexity. However, most existing studies can only learn codes for a given size and rate, typically defined by a fixed network architecture…

Signal Processing · Electrical Eng. & Systems 2024-11-28 Yukun Cheng , Wei Chen , Tianwei Hou , Geoffrey Ye Li , Bo Ai

We introduce the new concept of computation coding. Similar to how rate-distortion theory is concerned with the lossy compression of data, computation coding deals with the lossy computation of functions. Particularizing to linear…

Information Theory · Computer Science 2021-02-02 Ralf Müller , Bernhard Gäde , Ali Bereyhi

Coded computing is a distributed paradigm that uses coding theory to introduce \textit{redundancy} and overcome bottlenecks in large-scale systems. In the same vein, randomized numerical linear algebra employs probabilistic methods to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Neophytos Charalambides , Arya Mazumdar

We consider the problem of evaluating arbitrary multivariate polynomials over a massive dataset containing multiple inputs, on a distributed computing system with a master node and multiple worker nodes. Generalized Lagrange Coded Computing…

Information Theory · Computer Science 2024-11-07 Jinbao Zhu , Hengxuan Tang , Songze Li , Yijia Chang

Linear computation coding is concerned with the compression of multidimensional linear functions, i.e. with reducing the computational effort of multiplying an arbitrary vector to an arbitrary, but known, constant matrix. This paper…

Information Theory · Computer Science 2025-07-02 Hans Rosenberger , Johanna S. Fröhlich , Ali Bereyhi , Ralf R. Müller

A classification algorithm, called the Linear Centralization Classifier (LCC), is introduced. The algorithm seeks to find a transformation that best maps instances from the feature space to a space where they concentrate towards the center…

Machine Learning · Computer Science 2017-12-25 Mohammad Reza Bonyadi , Viktor Vegh , David C. Reutens

One of the major challenges in using distributed learning to train complicated models with large data sets is to deal with stragglers effect. As a solution, coded computation has been recently proposed to efficiently add redundancy to the…

Information Theory · Computer Science 2021-11-02 Tayyebeh Jahani-Nezhad , Mohammad Ali Maddah-Ali

We present a novel deep learning approach to approximate the solution of large, sparse, symmetric, positive-definite linear systems of equations. These systems arise from many problems in applied science, e.g., in numerical methods for…

Machine Learning · Computer Science 2022-10-04 Ayano Kaneda , Osman Akar , Jingyu Chen , Victoria Kala , David Hyde , Joseph Teran

In this paper, we present a coded computation (CC) scheme for distributed computation of the inference phase of machine learning (ML) tasks, specifically, the task of image classification. Building upon Agrawal et al.~2022, the proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-12 Jiepeng Tang , Navneet Agrawal , Slawomir Stanczak , Jingge Zhu

Differential linear network coding (DLNC) is a precoding scheme for information transmission over random linear networks. By using differential encoding and decoding, the conventional approach of lifting, required for inherent channel…

Information Theory · Computer Science 2015-01-29 Sven Puchinger , Michael Cyran , Robert F. H. Fischer , Martin Bossert , Johannes B. Huber

Complex-valued processing brought deep learning-based speech enhancement and signal extraction to a new level. Typically, the noise reduction process is based on a time-frequency (TF) mask which is applied to a noisy spectrogram. Complex…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-24 Hendrik Schröter , Tobias Rosenkranz , Alberto N. Escalante-B. , Andreas Maier

Machine learning algorithms are typically run on large scale, distributed compute infrastructure that routinely face a number of unavailabilities such as failures and temporary slowdowns. Adding redundant computations using coding-theoretic…

Machine Learning · Computer Science 2018-06-05 Jack Kosaian , K. V. Rashmi , Shivaram Venkataraman

The growing size of modern datasets necessitates splitting a large scale computation into smaller computations and operate in a distributed manner. Adversaries in a distributed system deliberately send erroneous data in order to affect the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-05 Chien-Sheng Yang , A. Salman Avestimehr

Matrix multiplication is a fundamental building block for large scale computations arising in various applications, including machine learning. There has been significant recent interest in using coding to speed up distributed matrix…

Information Theory · Computer Science 2019-05-17 Wei-Ting Chang , Ravi Tandon

Multi-party computation (MPC) is promising for designing privacy-preserving machine learning algorithms at edge networks. An emerging approach is coded-MPC (CMPC), which advocates the use of coded computation to improve the performance of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Elahe Vedadi , Yasaman Keshtkarjahromi , Hulya Seferoglu

The article proposes formulating and codifying a set of applied numerical methods, coined as Deep Learning Discrete Calculus (DLDC), that uses the knowledge from discrete numerical methods to interpret the deep learning algorithms through…

Numerical Analysis · Mathematics 2022-12-01 Sourav Saha , Chanwook Park , Stefan Knapik , Jiachen Guo , Owen Huang , Wing Kam Liu

Deterministic linear network coding (DLNC) is an important family of network coding techniques for wireless packet broadcast. In this paper, we show that DLNC is strongly related to and can be effectively studied using matroid theory…

Information Theory · Computer Science 2015-06-04 Mingchao Yu , Parastoo Sadeghi , Neda Aboutorab

Noise reduction is an important part of modern hearing aids and is included in most commercially available devices. Deep learning-based state-of-the-art algorithms, however, either do not consider real-time and frequency resolution…

Audio and Speech Processing · Electrical Eng. & Systems 2020-01-29 Hendrik Schröter , Tobias Rosenkranz , Alberto N. Escalante B. , Marc Aubreville , Andreas Maier

Coded distributed computing was recently introduced to mitigate the effect of stragglers on distributed computing. This paper combines ideas of approximate computing with coded computing to further accelerate computation. We propose…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-11 Shahrzad Kiani , Stark C. Draper
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