Rethinking PCA for Modern Datasets: Theory, Algorithms, and Applications

Editorial

Namarata Vaswani, Yuejie Chi, Thierry Bouwmans, "Rethinking PCA for Modern Datasets: Theory, Algorithms, and Applications"

Part 1: PCA, Tensor PCA, Streaming PCA, Sparse PCA, Distributed PCA

Iain Johnstone, Paul Debashis "PCA in high dimensions: an orientation" [High dimensions]

Alp Ozdemir, Ali Zare, Mark Iwen, Selin Aviyente, "Extension of PCA to Higher Order Data Structures: An Introduction to Tensors, Tensor Decompositions, and Tensor PCA" [High dimensions]

Laura Balzano, Yuejie Chi, Yue Lu, "Streaming PCA and Subspace Tracking: The Missing Data Case" [Missing data]

Hui Zou, Lingzhou Xue, "A Selective Overview of Sparse Principal Component Analysis"

Xiaoxiao Wu, Hoi-To Wai, Lin Li, Anna Scaglione, "A Review of Distributed Algorithms for Principal Component Analysis"

Part 2: Robust PCA with missing and corrupted data

Namrata Vaswani, Praneeth Narayanamurthy, "Static and Dynamic Robust PCA and Matrix Completion: A Review" [Element-wise outliers]

Gilad Lerman, Tyler Maunu, "An Overview of Robust Subspace Recovery" [Row-wise or column-wise outliers]

Shiqian Ma, Necdet Serhat Aybat, "Efficient Optimization Algorithms for Robust Principal Component Analysis and Its Variants" [Solvers]

Thierry Bouwmans, Sajid Javed, Hongyang Zhang, Zhouchen Lin, Ricardo Otazo, "On the Applications of Robust PCA in Image and Video Processing" [Applications]