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We consider streaming principal component analysis when the stochastic data-generating model is subject to perturbations. While existing models assume a fixed covariance, we adopt a robust perspective where the covariance matrix belongs to…

Machine Learning · Statistics 2022-10-13 Daniel Bienstock , Minchan Jeong , Apurv Shukla , Se-Young Yun

In the wake of the intense effort made for the experimental CILEX project, numerical simulation cam- paigns have been carried out in order to finalize the design of the facility and to identify optimal laser and plasma parameters. These…

Computational Physics · Physics 2016-04-20 Arnaud Beck , Jacob Trier Frederiksen , Julien Dérouillat

The modification of Amdahl's law for the case of increment of processor elements in a computer system is considered. The coefficient $k$ linking accelerations of parallel and parallel specialized computer systems is determined. The limiting…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-31 Aleksandr S. Filipchenko

Accelerating Human Action Recognition (HAR) efficiently for real-time surveillance and robotic systems on edge chips remains a challenging research field, given its high computational and memory requirements. This paper proposed an…

Computer Vision and Pattern Recognition · Computer Science 2023-11-08 Azzam Alhussain , Mingjie Lin

We carefully investigate the on-line version of PCA, where in each trial a learning algorithm plays a k-dimensional subspace, and suffers the compression loss on the next instance when projected into the chosen subspace. In this setting, we…

Machine Learning · Computer Science 2014-05-12 Jiazhong Nie , Wojciech Kotlowski , Manfred K. Warmuth

For nonparametric regression in the streaming setting, where data constantly flow in and require real-time analysis, a main challenge is that data are cleared from the computer system once processed due to limited computer memory and…

Statistics Theory · Mathematics 2022-08-19 Mingxue Quan , Zhenhua Lin

Pipeline parallelism has been demonstrated to be a remarkable approach to improve throughput for training deep neural networks with billions of parameters over heterogeneous clusters. The 1F1B scheduling plan is a widely adopted strategy…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-06 Siyu Wang , Zongyan Cao , Chang Si , Lansong Diao , Jiamang Wang , Wei Lin

Previous papers have proposed to add memory registers to the dynamics of discrete-time linear systems in order to accelerate their convergence. In particular, it has been proved that adding one memory slot per agent allows faster…

Optimization and Control · Mathematics 2015-10-12 Alain Sarlette

Algorithms with fast convergence, small number of data access, and low per-iteration complexity are particularly favorable in the big data era, due to the demand for obtaining \emph{highly accurate solutions} to problems with \emph{a large…

Machine Learning · Statistics 2016-11-16 Zebang Shen , Hui Qian , Chao Zhang , Tengfei Zhou

We propose a new data-driven method to select the optimal number of relevant components in Principal Component Analysis (PCA). This new method applies to correlation matrices whose time autocorrelation function decays more slowly than an…

Statistical Finance · Quantitative Finance 2019-10-07 Anshul Verma , Pierpaolo Vivo , Tiziana Di Matteo

We study probabilistic cellular automata (PCA) and quantum cellular automata (QCA) as frameworks for solving the Maximum Independent Set (MIS) problem. We first introduce a synchronous PCA whose dynamics drives the system toward the…

Quantum Physics · Physics 2025-12-09 Federico Dell'Anna , Matteo Grotti , Vito Giardinelli

Sparse Principal Component Analysis (PCA) is a dimensionality reduction technique wherein one seeks a low-rank representation of a data matrix with additional sparsity constraints on the obtained representation. We consider two…

Information Theory · Computer Science 2014-05-06 Yash Deshpande , Andrea Montanari

Multi-channel sensor networks in industrial IoT often exceed available bandwidth. We propose PCA-Triage, a streaming algorithm that converts incremental PCA loadings into proportional per-channel sampling rates under a bandwidth budget.…

Machine Learning · Computer Science 2026-04-24 Ankit Hemant Lade , Sai Krishna Jasti , Nikhil Sinha , Indar Kumar , Akanksha Tiwari

We present a unified framework for proving memory lower bounds for multi-pass streaming algorithms that detect planted structures. Planted structures -- such as cliques or bicliques in graphs, and sparse signals in high-dimensional data --…

Computational Complexity · Computer Science 2026-03-03 Sumegha Garg , Jabari Hastings , Chirag Pabbaraju , Vatsal Sharan

Subspace clustering (SC) is a popular method for dimensionality reduction of high-dimensional data, where it generalizes Principal Component Analysis (PCA). Recently, several methods have been proposed to enhance the robustness of PCA and…

Data Structures and Algorithms · Computer Science 2015-06-09 Sanghyuk Chun , Yung-Kyun Noh , Jinwoo Shin

The integration of image and event streams offers a promising approach for achieving robust visual object tracking in complex environments. However, current fusion methods achieve high performance at the cost of significant computational…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Jingjun Yang , Liangwei Fan , Jinpu Zhang , Xiangkai Lian , Hui Shen , Dewen Hu

Approximate dynamic programming (ADP) faces challenges in dealing with constraints in control problems. Model predictive control (MPC) is, in comparison, well-known for its accommodation of constraints and stability guarantees, although its…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

A set of accelerated first order algorithms with memory are proposed for minimising strongly convex functions. The algorithms are differentiated by their use of the iterate history for the gradient step. The increased convergence rate of…

Optimization and Control · Mathematics 2018-08-31 Ross Drummond , Stephen Duncan

Conformance checking (CC) techniques of the process mining field gauge the conformance of the sequence of events in a case with respect to a business process model, which simply put is an amalgam of certain behavioral relations or rules.…

Software Engineering · Computer Science 2021-12-28 Rashid Zaman , Marwan Hassani , Boudewijn F. van Dongen

This paper addresses stochastic optimization in a streaming setting with time-dependent and biased gradient estimates. We analyze several first-order methods, including Stochastic Gradient Descent (SGD), mini-batch SGD, and time-varying…

Machine Learning · Computer Science 2023-07-20 Antoine Godichon-Baggioni , Nicklas Werge , Olivier Wintenberger
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