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Sparse principal component analysis (PCA) is a popular dimensionality reduction technique for obtaining principal components which are linear combinations of a small subset of the original features. Existing approaches cannot supply…

最优化与控制 · 数学 2022-02-22 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet

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

Sparse principal component analysis (sparse PCA) aims at finding a sparse basis to improve the interpretability over the dense basis of PCA, meanwhile the sparse basis should cover the data subspace as much as possible. In contrast to most…

机器学习 · 计算机科学 2014-05-02 Zhenfang Hu , Gang Pan , Yueming Wang , Zhaohui Wu

In recent times, functional data analysis (FDA) has been successfully applied in the field of high dimensional data classification. In this paper, we present a novel classification framework using functional data and classwise Principal…

机器学习 · 统计学 2021-06-29 Avishek Chatterjee , Satyaki Mazumder , Koel Das

Software composition analysis (SCA) denotes the process of identifying open-source software components in an input software application. SCA has been extensively developed and adopted by academia and industry. However, we notice that the…

软件工程 · 计算机科学 2024-12-03 Huaijin Wang , Zhibo Liu , Yanbo Dai , Shuai Wang , Qiyi Tang , Sen Nie , Shi Wu

We consider the problem of learning a linear factor model. We propose a regularized form of principal component analysis (PCA) and demonstrate through experiments with synthetic and real data the superiority of resulting estimates to those…

机器学习 · 计算机科学 2013-05-31 Yi-Hao Kao , Benjamin Van Roy

The increasing availability of experimental data has intensified interest in calibrating stochastic models, raising fundamental questions about parameter identifiability. Structural identifiability determines whether parameters can be…

统计方法学 · 统计学 2026-05-14 Arianna Ceccarelli , Alexander P. Browning , Ruth E. Baker

In this work we introduce a new residual for normal linear models that are suitable for situations in which we are dealing with heteroskedasticity of unknown form, they are referred to by principal component analysis (PCA) residuals. These…

统计方法学 · 统计学 2017-09-01 Andréa V. Rocha , Evelina Shamarova , Alexandre B. Simas

Probabilistic Component Latent Analysis (PLCA) is a statistical modeling method for feature extraction from non-negative data. It has been fruitfully applied to various research fields of information retrieval. However, the EM-solved…

统计方法学 · 统计学 2017-03-16 D. Cazau , G. Nuel

The implementation of conventional sparse principal component analysis (SPCA) on high-dimensional data sets has become a time consuming work. In this paper, a series of subspace projections are constructed efficiently by using Household QR…

机器学习 · 统计学 2019-12-09 Cong Xu , Min Yang , Jin Zhang

Data reconciliation (DR) and Principal Component Analysis (PCA) are two popular data analysis techniques in process industries. Data reconciliation is used to obtain accurate and consistent estimates of variables and parameters from…

机器学习 · 计算机科学 2015-05-05 Shankar Narasimhan , Nirav Bhatt

Linear principal component analysis (PCA) can be extended to a nonlinear PCA by using artificial neural networks. But the benefit of curved components requires a careful control of the model complexity. Moreover, standard techniques for…

机器学习 · 计算机科学 2012-04-04 Matthias Scholz

In this paper, we consider a new variant for principal component analysis (PCA), aiming to capture the grouping and/or sparse structures of factor loadings simultaneously. To achieve these goals, we employ a non-convex truncated…

统计方法学 · 统计学 2022-09-14 Haiyan Jiang , Shanshan Qin , Oscar Hernan Madrid Padilla

Spatial classification with limited feature observations has been a challenging problem in machine learning. The problem exists in applications where only a subset of sensors are deployed at certain spots or partial responses are collected…

机器学习 · 计算机科学 2020-09-03 Arpan Man Sainju , Wenchong He , Zhe Jiang , Da Yan , Haiquan Chen

Principal Component Analysis (PCA) is a widely utilized technique for dimensionality reduction; however, its inherent lack of interpretability-stemming from dense linear combinations of all feature-limits its applicability in many domains.…

机器学习 · 计算机科学 2025-04-01 Loc Hoang Tran

This paper proposes a novel sparse principal component analysis algorithm with self-learning ability for successive modes, where synaptic intelligence is employed to measure the importance of variables and a regularization term is added to…

机器学习 · 计算机科学 2021-08-10 Jingxin Zhang , Donghua Zhou , Maoyin Chen

Modeling cross-sectional correlations between thousands of stocks, across countries and industries, can be challenging. In this paper, we demonstrate the advantages of using Hierarchical Principal Component Analysis (HPCA) over the classic…

数理金融 · 定量金融 2020-10-09 Marco Avellaneda , Juan Andrés Serur

We propose a new high dimensional semiparametric principal component analysis (PCA) method, named Copula Component Analysis (COCA). The semiparametric model assumes that, after unspecified marginally monotone transformations, the…

机器学习 · 统计学 2014-02-20 Fang Han , Han Liu

Experience in the physical sciences suggests that the only realistic means of understanding complex systems is through the use of mathematical models. Typically, this has come to mean the identification of quantitative models expressed as…

人工智能 · 计算机科学 2011-11-02 George M. Coghill , Ross D. King , Ashwin Srinivasan

Over the years, Principal Component Analysis (PCA) has served as the baseline approach for dimensionality reduction in gene expression data analysis. It primary objective is to identify a subset of disease-causing genes from a vast pool of…

代数拓扑 · 数学 2023-06-13 Sean Cottrell , Rui Wang , Guowei Wei