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In the future, quantum computers will become widespread and a network of quantum repeaters will provide them with end-to-end entanglement of remote quantum bits. As a result, a pervasive quantum computation infrastructure will emerge, which…

Quantum Physics · Physics 2023-02-10 Claudio Cicconetti , Marco Conti , Andrea Passarella

We consider the problem of factorizing a structured 3-way tensor into its constituent Canonical Polyadic (CP) factors. This decomposition, which can be viewed as a generalization of singular value decomposition (SVD) for tensors, reveals…

Machine Learning · Computer Science 2020-07-01 Sirisha Rambhatla , Xingguo Li , Jarvis Haupt

We study the problem of user-scheduling and resource allocation in distributed multi-user, multiple-input multiple-output (MIMO) networks implementing user-centric clustering and non-coherent transmission. We formulate a weighted sum-rate…

Information Theory · Computer Science 2021-02-08 Hussein A. Ammar , Raviraj Adve , Shahram Shahbazpanahi , Gary Boudreau , Kothapalli Srinivas

We address the problem of optimizing mixed sparse and dense tensor algebra in a compiler. We show that standard loop transformations, such as strip-mining, tiling, collapsing, parallelization and vectorization, can be applied to irregular…

Mathematical Software · Computer Science 2020-01-03 Ryan Senanayake , Fredrik Kjolstad , Changwan Hong , Shoaib Kamil , Saman Amarasinghe

There is a growing interest in development of in-network dispersed computing paradigms that leverage the computing capabilities of heterogeneous resources dispersed across the network for processing massive amount of data is collected at…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-28 Chien-Sheng Yang , Ramtin Pedarsani , A. Salman Avestimehr

Consider a multi-cell mobile edge computing network, in which each user wishes to compute the product of a user-generated data matrix with a network-stored matrix. This is done through task offloading by means of input uploading,…

Information Theory · Computer Science 2021-01-19 Kuikui Li , Meixia Tao , Jingjing Zhang , Osvaldo Simeone

Distributed tensor decomposition (DTD) is a fundamental data-analytics technique that extracts latent important properties from high-dimensional multi-attribute datasets distributed over edge devices. Conventionally its wireless…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-16 Xu Chen , Erik G. Larsson , Kaibin Huang

We consider the distributed computing problem of multiplying a set of vectors with a matrix. For this scenario, Li et al. recently presented a unified coding framework and showed a fundamental tradeoff between computational delay and…

Information Theory · Computer Science 2017-09-19 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes

Binary Neural Networks (BNNs) enable efficient deep learning by saving on storage and computational costs. However, as the size of neural networks continues to grow, meeting computational requirements remains a challenge. In this work, we…

Machine Learning · Computer Science 2024-07-18 Matt Gorbett , Hossein Shirazi , Indrakshi Ray

In this paper, we propose a new coded computing technique called "substitute decoding" for general iterative distributed computation tasks. In the first part of the paper, we use PageRank as a simple example to show that substitute decoding…

Information Theory · Computer Science 2018-05-17 Yaoqing Yang , Malhar Chaudhari , Pulkit Grover , Soummya Kar

In this paper we consider a novel partitioned framework for distributed optimization in peer-to-peer networks. In several important applications the agents of a network have to solve an optimization problem with two key features: (i) the…

Systems and Control · Computer Science 2018-05-23 Ivano Notarnicola , Ruggero Carli , Giuseppe Notarstefano

In this paper, we define a semi-tensor product for third-order tensors. Based on this definition, we present a new type of tensor decomposition strategy and give the specific algorithm. This decomposition strategy actually generalizes the…

Numerical Analysis · Mathematics 2023-01-18 Zhuo-Ran Chen , Seak-Weng Vong , Ze-Jia Xie

Distributed learning has become a critical enabler of the massively connected world envisioned by many. This article discusses four key elements of scalable distributed processing and real-time intelligence --- problems, data, communication…

Machine Learning · Computer Science 2020-06-24 Tsung-Hui Chang , Mingyi Hong , Hoi-To Wai , Xinwei Zhang , Songtao Lu

An increasing number of emerging applications in data science and engineering are based on multidimensional and structurally rich data. The irregularities, however, of high-dimensional data often compromise the effectiveness of standard…

We study the problem of distributed multi-task learning with shared representation, where each machine aims to learn a separate, but related, task in an unknown shared low-dimensional subspaces, i.e. when the predictor matrix has low rank.…

Machine Learning · Computer Science 2016-03-08 Jialei Wang , Mladen Kolar , Nathan Srebro

Many problems in computational neuroscience, neuroinformatics, pattern/image recognition, signal processing and machine learning generate massive amounts of multidimensional data with multiple aspects and high dimensionality. Tensors (i.e.,…

Emerging Technologies · Computer Science 2014-08-26 Andrzej Cichocki

Graphs emerge in almost every real-world application domain, ranging from online social networks all the way to health data and movie viewership patterns. Typically, such real-world graphs are big and dynamic, in the sense that they evolve…

Social and Information Networks · Computer Science 2022-10-11 Ekta Gujral

Nonnegative Tucker decomposition (NTD) is a powerful tool for the extraction of nonnegative parts-based and physically meaningful latent components from high-dimensional tensor data while preserving the natural multilinear structure of…

Machine Learning · Computer Science 2015-09-17 Guoxu Zhou , Andrzej Cichocki , Qibin Zhao , Shengli Xie

Distributed learning, particularly variants of distributed stochastic gradient descent (DSGD), are widely employed to speed up training by leveraging computational resources of several workers. However, in practise, communication delay…

Machine Learning · Computer Science 2020-11-13 Kerem Ozfatura , Emre Ozfatura , Deniz Gunduz

We present a scalable tensor-based approach to computing input-normal/output-diagonal nonlinear balancing transformations for control-affine systems with polynomial nonlinearities. This transformation is necessary to determine the states…

Optimization and Control · Mathematics 2024-10-31 Nicholas A. Corbin , Arijit Sarkar , Jacquelien M. A. Scherpen , Boris Kramer