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An increasing number of data science and machine learning problems rely on computation with tensors, which better capture the multi-way relationships and interactions of data than matrices. When tapping into this critical advantage, a key…

Machine Learning · Statistics 2023-02-23 Harry Dong , Tian Tong , Cong Ma , Yuejie Chi

The increasing size of deep learning models has made distributed training across multiple devices essential. However, current methods such as distributed data-parallel training suffer from large communication and synchronization overheads…

Machine Learning · Computer Science 2025-02-10 Cabrel Teguemne Fokam , Khaleelulla Khan Nazeer , Lukas König , David Kappel , Anand Subramoney

Magnetic resonance imaging (MRI) nowadays serves as an important modality for diagnostic and therapeutic guidance in clinics. However, the {\it slow acquisition} process, the dynamic deformation of organs, as well as the need for {\it…

Machine Learning · Computer Science 2016-09-15 Morteza Mardani , Georgios B. Giannakis , Kamil Ugurbil

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

We employ chordal decomposition to reformulate a large and sparse semidefinite program (SDP), either in primal or dual standard form, into an equivalent SDP with smaller positive semidefinite (PSD) constraints. In contrast to previous…

Optimization and Control · Mathematics 2020-08-07 Yang Zheng , Giovanni Fantuzzi , Antonis Papachristodoulou , Paul Goulart , Andrew Wynn

Pre-training large neural networks at scale imposes heavy memory demands on accelerators and often requires costly communication. We introduce Subnetwork Data Parallelism (SDP), a distributed training framework that partitions a model into…

Machine Learning · Computer Science 2025-10-06 Vaibhav Singh , Zafir Khalid , Edouard Oyallon , Eugene Belilovsky

Structural Health Monitoring (SHM) aims to monitor in real time the health state of engineering structures. For thin structures, Lamb Waves (LW) are very efficient for SHM purposes. A bonded piezoelectric transducer (PZT) emits LW in the…

Computational Engineering, Finance, and Science · Computer Science 2024-08-20 Sebastian Rodriguez , Marc Rébillat , Shweta Paunikar , Pierre Margerit , Eric Monteiro , Francisco Chinesta , Nazih Mechbal

Distributed training algorithms of deep neural networks show impressive convergence speedup properties on very large problems. However, they inherently suffer from communication related slowdowns and communication topology becomes a crucial…

Machine Learning · Computer Science 2022-03-25 Tomer Avidor , Nadav Tal Israel

Distributed data-parallel algorithms aim to accelerate the training of deep neural networks by parallelizing the computation of large mini-batch gradient updates across multiple nodes. Approaches that synchronize nodes using exact…

Machine Learning · Computer Science 2020-04-23 Mahmoud Assran , Nicolas Loizou , Nicolas Ballas , Michael Rabbat

Semi-supervised change detection (SSCD) aims to detect changes between bi-temporal remote sensing images by utilizing limited labeled data and abundant unlabeled data. Existing methods struggle in complex scenarios, exhibiting poor…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Qi'ao Xu , Pengfei Wang , Yanjun Li , Tianwen Qian , Xiaoling Wang

The CANDECOMP/PARAFAC (CP) decomposition is a generalization of the spectral decomposition of matrices to higher-order tensors. In this paper we use the CP decomposition to study unitary equivalence of higher order tensors and construct…

Quantum Physics · Physics 2022-05-16 Jingmei Chang , Naihuan Jing

Huge scale machine learning problems are nowadays tackled by distributed optimization algorithms, i.e. algorithms that leverage the compute power of many devices for training. The communication overhead is a key bottleneck that hinders…

Machine Learning · Computer Science 2018-11-30 Sebastian U. Stich , Jean-Baptiste Cordonnier , Martin Jaggi

Intelligent medical diagnosis has shown remarkable progress based on the large-scale datasets with precise annotations. However, fewer labeled images are available due to significantly expensive cost for annotating data by experts. To fully…

Image and Video Processing · Electrical Eng. & Systems 2023-03-06 Wentao Lei , Lei Liu , Li Liu

Vector autoregressions (VARs) are popular model for analyzing multivariate economic time series. However, VARs can be over-parameterized if the numbers of variables and lags are moderately large. Tensor VAR, a recent solution to…

Methodology · Statistics 2024-09-13 Yiyong Luo , Jim E. Griffin

In this paper, we focus on approaches to parallelizing stochastic gradient descent (SGD) wherein data is farmed out to a set of workers, the results of which, after a number of updates, are then combined at a central master node. Although…

Machine Learning · Computer Science 2018-10-09 Nuwan Ferdinand , Stark Draper

Tensor network (TN) representation is a powerful technique for computer vision and machine learning. TN structure search (TN-SS) aims to search for a customized structure to achieve a compact representation, which is a challenging NP-hard…

Machine Learning · Computer Science 2024-04-15 Yu-Bang Zheng , Xi-Le Zhao , Junhua Zeng , Chao Li , Qibin Zhao , Heng-Chao Li , Ting-Zhu Huang

Asynchronous stochastic gradient descent (ASGD) is a popular parallel optimization algorithm in machine learning. Most theoretical analysis on ASGD take a discrete view and prove upper bounds for their convergence rates. However, the…

Machine Learning · Statistics 2018-05-09 Li He , Qi Meng , Wei Chen , Zhi-Ming Ma , Tie-Yan Liu

We investigate the S/N of a new incoherent dedispersion algorithm optimized for FPGA-based architectures intended for deployment on ASKAP and other SKA precursors for fast transients surveys. Unlike conventional CPU- and GPU-optimized…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 Nathan Clarke , Jean-Pierre Macquart , Cathryn Trott

Deep forecasting models often suffer from attenuated periodic perception and entangled trend-noise representations as network depth increases. Moreover, the widely adopted channel-independent paradigm, while improving training stability,…

Machine Learning · Computer Science 2026-05-19 Hua Wang , Xianhao Jiao , Fan Zhang

This paper proposes a new methodology to predict and update the residual useful lifetime of a system using a sequence of degradation images. The methodology integrates tensor linear algebra with traditional location-scale regression widely…

Applications · Statistics 2017-06-13 Xiaolei Fang , Kamran Paynabar , Nagi Gebraeel
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