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In multivariate time series classification, although current sequence analysis models have excellent classification capabilities, they show significant shortcomings when dealing with long sequence multivariate data, such as prolonged…

机器学习 · 计算机科学 2024-10-29 Enshuo Yan , Huachuan Wang , Weihao Xia

Low-precision streaming PCA estimates the top principal component in a streaming setting under limited precision. We establish an information-theoretic lower bound on the quantization resolution required to achieve a target accuracy for the…

机器学习 · 计算机科学 2025-10-28 Sanjoy Dasgupta , Syamantak Kumar , Shourya Pandey , Purnamrita Sarkar

We present a federated, asynchronous, and $(\varepsilon, \delta)$-differentially private algorithm for PCA in the memory-limited setting. Our algorithm incrementally computes local model updates using a streaming procedure and adaptively…

机器学习 · 计算机科学 2020-10-26 Andreas Grammenos , Rodrigo Mendoza-Smith , Jon Crowcroft , Cecilia Mascolo

Principal Component Analysis (PCA) is the workhorse tool for dimensionality reduction in this era of big data. While often overlooked, the purpose of PCA is not only to reduce data dimensionality, but also to yield features that are…

机器学习 · 计算机科学 2021-11-30 Arpita Gang , Waheed U. Bajwa

Two dominant distributed computing strategies have emerged to overcome the computational bottleneck of supervised learning with big data: parallel data processing in the MapReduce paradigm and serial data processing in the online streaming…

统计计算 · 统计学 2021-11-02 Emily C. Hector , Lan Luo , Peter X. -K. Song

Incremental versions of batch algorithms are often desired, for increased time efficiency in the streaming data setting, or increased memory efficiency in general. In this paper we present a novel algorithm for incremental kernel PCA, based…

机器学习 · 统计学 2018-02-02 Fredrik Hallgren , Paul Northrop

In this paper we analyze the behavior of the Oja's algorithm for online/streaming principal component subspace estimation. It is proved that with high probability it performs an efficient, gap-free, global convergence rate to approximate an…

机器学习 · 计算机科学 2024-03-06 Xin Liang

Various kinetic Monte Carlo algorithms become inefficient when some of the population sizes in a system are large, which gives rise to a large number of reaction events per unit time. Here, we present a new acceleration algorithm based on…

定量方法 · 定量生物学 2019-07-24 Yen Ting Lin , Song Feng , William S. Hlavacek

We propose a novel statistical inference framework for streaming principal component analysis (PCA) using Oja's algorithm, enabling the construction of confidence intervals for individual entries of the estimated eigenvector. Most existing…

统计理论 · 数学 2025-07-22 Syamantak Kumar , Shourya Pandey , Purnamrita Sarkar

Witnessing the advancing scale and complexity of chip design and benefiting from high-performance computation technologies, the simulation of Very Large Scale Integration (VLSI) Circuits imposes an increasing requirement for acceleration…

数据结构与算法 · 计算机科学 2023-04-27 Weijie Fang , Yanggeng Fu , Jiaquan Gao , Longkun Guo , Gregory Gutin , Xiaoyan Zhang

We study the problem of minimizing total completion time on parallel machines subject to varying processing capacity. In this paper, we develop an approximation scheme for the problem under the data stream model where the input data is…

数据结构与算法 · 计算机科学 2022-04-06 Bin Fu , Yumei Huo , Hairong Zhao

Recent trends in business and technology (e.g., machine learning, social network analysis) benefit from storing and processing growing amounts of graph-structured data in databases and data science platforms. FPGAs as accelerators for graph…

数据库 · 计算机科学 2021-02-09 Jonas Dann , Daniel Ritter , Holger Fröning

In this paper, the acceleration of algorithms using a design of a field programmable gate array (FPGA) as a prototype of a static dataflow architecture is discussed. The static dataflow architecture using operators interconnected by…

硬件体系结构 · 计算机科学 2015-03-13 Jorge Luiz e Silva , Joelmir Jose Lopes , Bruno de Abreu Silva , Antonio Carlos Fernandes da Silva

This paper studies the complexity of the stochastic gradient algorithm for PCA when the data are observed in a streaming setting. We also propose an online approach for selecting the learning rate. Simulation experiments confirm the…

统计理论 · 数学 2018-04-04 Stephane Chretien , Christophe Guyeux , Zhen-Wai Olivier HO

Oja's rule [Oja, Journal of mathematical biology 1982] is a well-known biologically-plausible algorithm using a Hebbian-type synaptic update rule to solve streaming principal component analysis (PCA). Computational neuroscientists have…

神经元与认知 · 定量生物学 2020-06-19 Chi-Ning Chou , Mien Brabeeba Wang

We propose algorithms for online principal component analysis (PCA) and variance minimization for adaptive settings. Previous literature has focused on upper bounding the static adversarial regret, whose comparator is the optimal fixed…

机器学习 · 计算机科学 2019-05-14 Jianjun Yuan , Andrew Lamperski

We study the convergence properties of the VR-PCA algorithm introduced by \cite{shamir2015stochastic} for fast computation of leading singular vectors. We prove several new results, including a formal analysis of a block version of the…

机器学习 · 计算机科学 2015-08-03 Ohad Shamir

We introduce a variant of (sparse) PCA in which the set of feasible support sets is determined by a graph. In particular, we consider the following setting: given a directed acyclic graph $G$ on $p$ vertices corresponding to variables, the…

Although Anderson acceleration (AA) is known to speed up fixed-point iterations, it is rarely applied in constrained optimization, in particular sequential quadratic programming (SQP). We show that the local convergence behavior of a…

最优化与控制 · 数学 2026-04-17 Jonathan Frey , David Kiessling , Katrin Baumgärtner , Moritz Diehl

We propose a generic algorithmic building block to accelerate training of machine learning models on heterogeneous compute systems. Our scheme allows to efficiently employ compute accelerators such as GPUs and FPGAs for the training of…

机器学习 · 计算机科学 2017-11-08 Celestine Dünner , Thomas Parnell , Martin Jaggi