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In the last decades, tensors have emerged as the right tool to represent multidimensional data in a compact yet informative manner. Moreover, it is well-known that by performing low-rank factorizations of such tensors one is often able to…

Numerical Analysis · Mathematics 2026-03-31 Martina Iannacito , Sascha Portaro , Davide Palitta , Claudio Arlandini , Domitilla Brandoni

This paper proposes the Doubly Compressed Momentum-assisted stochastic gradient tracking algorithm $\texttt{DoCoM}$ for communication-efficient decentralized optimization. The algorithm features two main ingredients to achieve a…

Machine Learning · Computer Science 2023-08-01 Chung-Yiu Yau , Hoi-To Wai

Recommendation systems, social network analysis, medical imaging, and data mining often involve processing sparse high-dimensional data. Such high-dimensional data are naturally represented as tensors, and they cannot be efficiently…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-22 Weiyun Jiang , Kaiqi Zhang , Colin Yu Lin , Feng Xing , Zheng Zhang

Prevalent predictive coding-based video compression methods rely on a heavy encoder to reduce temporal redundancy, which makes it challenging to deploy them on resource-constrained devices. Since the 1970s, distributed source coding theory…

Image and Video Processing · Electrical Eng. & Systems 2023-04-04 Xinjie Zhang , Jiawei Shao , Jun Zhang

Deep learning has been postulated as a solution for numerous problems in different branches of science. Given the resource-intensive nature of these models, they often need to be executed on specialized hardware such graphical processing…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-15 Jose González-Abad , Álvaro López García , Valentin Y. Kozlov

We address the computational barrier of deploying advanced deep learning segmentation models in clinical settings by studying the efficacy of network compression through tensor decomposition. We propose a post-training Tucker factorization…

Image and Video Processing · Electrical Eng. & Systems 2024-04-19 Tobias Weber , Jakob Dexl , David Rügamer , Michael Ingrisch

We propose a novel rank-adaptive higher-order orthogonal iteration (HOOI) algorithm to compute the truncated Tucker decomposition of higher-order tensors with a given error tolerance, and prove that the method is locally optimal and…

Numerical Analysis · Mathematics 2021-10-26 Chuanfu Xiao , Chao Yang

The matricized-tensor times Khatri-Rao product (MTTKRP) is the computational bottleneck for algorithms computing CP decompositions of tensors. In this paper, we develop shared-memory parallel algorithms for MTTKRP involving dense tensors.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-31 Koby Hayashi , Grey Ballard , Jeffrey Jiang , Michael Tobia

To respond to the need of efficient training and inference of deep neural networks, a plethora of domain-specific hardware architectures have been introduced, such as Google Tensor Processing Units and NVIDIA Tensor Cores. A common feature…

Data Structures and Algorithms · Computer Science 2020-07-10 Rezaul Chowdhury , Francesco Silvestri , Flavio Vella

Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Rajendra Purohit , K R Chowdhary , S D Purohit

Deep learning emerges as an important new resource-intensive workload and has been successfully applied in computer vision, speech, natural language processing, and so on. Distributed deep learning is becoming a necessity to cope with…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-23 Jilong Xue , Youshan Miao , Cheng Chen , Ming Wu , Lintao Zhang , Lidong Zhou

There has been much interest in deploying deep learning algorithms on low-powered devices, including smartphones, drones, and medical sensors. However, full-scale deep neural networks are often too resource-intensive in terms of energy and…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Yoshitomo Matsubara , Ruihan Yang , Marco Levorato , Stephan Mandt

Image segmentation with a volume constraint is an important prior for many real applications. In this work, we present a novel volume preserving image segmentation algorithm, which is based on the framework of entropic regularized optimal…

Computer Vision and Pattern Recognition · Computer Science 2020-01-23 Haifeng Li , Jun Liu , Li Cui , Haiyang Huang , Xue-cheng Tai

Conventional tomographic reconstruction typically depends on centralized servers for both data storage and computation, leading to concerns about memory limitations and data privacy. Distributed reconstruction algorithms mitigate these…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-10 Runxuan Miao , Selin Aslan , Erdem Koyuncu , Doğa Gürsoy

Ordering vertices of a graph is key to minimize fill-in and data structure size in sparse direct solvers, maximize locality in iterative solvers, and improve performance in graph algorithms. Except for naturally parallelizable ordering…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-27 Ariful Azad , Mathias Jacquelin , Aydin Buluc , Esmond G. Ng

We describe an asynchronous parallel stochastic proximal coordinate descent algorithm for minimizing a composite objective function, which consists of a smooth convex function plus a separable convex function. In contrast to previous…

Optimization and Control · Mathematics 2015-12-14 Ji Liu , Stephen J. Wright

For time-critical IoT applications using deep learning, inference acceleration through distributed computing is a promising approach to meet a stringent deadline. In this paper, we implement a working prototype of a new distributed…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Zhongtian Dong , Nan Li , Alexandros Iosifidis , Qi Zhang

Candecomp / PARAFAC (CP) decomposition, a generalization of the matrix singular value decomposition to higher-dimensional tensors, is a popular tool for analyzing multidimensional sparse data. On tensors with billions of nonzero entries,…

Numerical Analysis · Mathematics 2024-04-30 Vivek Bharadwaj , Osman Asif Malik , Riley Murray , Aydin Buluç , James Demmel

In this paper we propose novel methods for compression and recovery of multilinear data under limited sampling. We exploit the recently proposed tensor- Singular Value Decomposition (t-SVD)[1], which is a group theoretic framework for…

Information Theory · Computer Science 2013-11-01 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

Machine Learning · Computer Science 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu
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