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The knowledge of transitions between regular, laminar or chaotic behavior is essential to understand the underlying mechanisms behind complex systems. While several linear approaches are often insufficient to describe such processes, there…

医学物理 · 物理学 2007-05-23 N. Marwan , N. Wessel , U. Meyerfeldt , A. Schirdewan , J. Kurths

Flexibility at hardware level is the main driving force behind adaptive systems whose aim is to realise microarhitecture deconfiguration 'online'. This feature allows the software/hardware stack to tolerate drastic changes of the workload…

硬件体系结构 · 计算机科学 2016-12-28 Ana Lava , Mahdi Jelodari Mamaghani , Siamak Mohammadi , Steve Furber

The prediction of stochastic dynamical systems and the capture of dynamical behaviors are profound problems. In this article, we propose a data-driven framework combining Reservoir Computing and Normalizing Flow to study this issue, which…

动力系统 · 数学 2023-08-01 Cheng Fang , Yubin Lu , Ting Gao , Jinqiao Duan

We present a robust alternative to principal component analysis (PCA) --- called elliptical component analysis (ECA) --- for analyzing high dimensional, elliptically distributed data. ECA estimates the eigenspace of the covariance matrix of…

机器学习 · 统计学 2016-10-04 Fang Han , Han Liu

Given a sample covariance matrix, we examine the problem of maximizing the variance explained by a linear combination of the input variables while constraining the number of nonzero coefficients in this combination. This is known as sparse…

最优化与控制 · 数学 2010-12-24 Youwei Zhang , Alexandre d'Aspremont , Laurent El Ghaoui

We develop asymptotic theory for principal component analysis (PCA) of a high-dimensional factor model in which the working dimension $R$ is fixed and only required to satisfy $R \ge r$, where $r$ is the true number of factors. Building on…

统计理论 · 数学 2026-05-19 Yuan Liao , Xin Tong , Wanjie Wang , Dacheng Xiu

Sparse principal component analysis (PCA) is a well-established dimensionality reduction technique that is often used for unsupervised feature selection (UFS). However, determining the regularization parameters is rather challenging, and…

机器学习 · 计算机科学 2025-04-07 Long Chen , Xianchao Xiu

Ensuring the reliability and availability of complex networked services demands effective root cause analysis (RCA) across cloud environments, data centers, and on-premises networks. Traditional RCA methods, which involve manual inspection…

网络与互联网体系结构 · 计算机科学 2025-07-08 Alexander Shan , Jasleen Kaur , Rahul Singh , Tarun Banka , Raj Yavatkar , T. Sridhar

Despite decades of research and recent progress in adaptive control and reinforcement learning, there remains a fundamental lack of understanding in designing controllers that provide robustness to inherent non-asymptotic uncertainties…

机器学习 · 计算机科学 2021-08-13 Benjamin Gravell , Tyler Summers

This study presents a grey-box recursive identification technique to estimate key parameters in a mineral flotation process across two scenarios. The method is applied to a nonlinear physics-based dynamic model validated at a laboratory…

系统与控制 · 电气工程与系统科学 2025-02-11 Rodrigo A. González , Paulina Quintanilla

The principal component analysis (PCA) is a staple statistical and unsupervised machine learning technique in finance. The application of PCA in a financial setting is associated with several technical difficulties, such as numerical…

统计金融 · 定量金融 2021-08-31 Paul Bilokon , David Finkelstein

In this paper we review existing methods for robust functional principal component analysis (FPCA) and propose a new method for FPCA that can be applied to longitudinal data where only a few observations per trajectory are available. This…

统计方法学 · 统计学 2020-12-04 Graciela Boente , Matias Salibian-Barrera

Robust principal component analysis (RPCA) has drawn significant attentions due to its powerful capability in recovering low-rank matrices as well as successful appplications in various real world problems. The current state-of-the-art…

机器学习 · 计算机科学 2019-04-17 Chong Peng , Chenglizhao Chen , Zhao Kang , Jianbo Li , Qiang Cheng

Qualitative Comparative Analysis (QCA) has been increasingly used in recent years due to its purported construction of a middle path between case-oriented and variable-oriented methods. Despite its popularity, a key element of the method…

统计方法学 · 统计学 2016-06-17 C. Ben Gibson , Burrel Vann

Regularized variants of Principal Components Analysis, especially Sparse PCA and Functional PCA, are among the most useful tools for the analysis of complex high-dimensional data. Many examples of massive data, have both sparse and…

机器学习 · 统计学 2019-08-21 Genevera I. Allen , Michael Weylandt

Process monitoring based on neural networks is getting more and more attention. Compared with classical neural networks, high-order neural networks have natural advantages in dealing with heteroscedastic data. However, high-order neural…

机器学习 · 计算机科学 2021-12-22 Peng Jingchao , Zhao Haitao , Hu Zhengwei

Robust Principal Component Analysis (RPCA) aims at recovering a low-rank subspace from grossly corrupted high-dimensional (often visual) data and is a cornerstone in many machine learning and computer vision applications. Even though RPCA…

计算机视觉与模式识别 · 计算机科学 2017-03-29 Niannan Xue , Yannis Panagakis , Stefanos Zafeiriou

An important monitoring task for power systems is accurate estimation of the system operation state. Under the nonlinear AC power flow model, the state estimation (SE) problem is inherently nonconvex giving rise to many local optima. In…

应用统计 · 统计学 2012-06-22 Hao Zhu , Georgios B. Giannakis

Principal component analysis (PCA) is recognised as a quintessential data analysis technique when it comes to describing linear relationships between the features of a dataset. However, the well-known sensitivity of PCA to non-Gaussian…

机器学习 · 统计学 2019-10-28 Jean P. Chereau , Bruno Scalzo Dees , Danilo P. Mandic

This paper investigates system identification problems with Gaussian inputs and quantized observations under fixed thresholds. By reinterpreting the nonlinear effects induced by quantization as the product of the unknown parameter and an…

最优化与控制 · 数学 2025-10-20 Xingrui Liu , Ying Wang , Yanlong Zhao
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