An adaptive semisupervised feature analysis for video semantic recognition

M Luo, X Chang, L Nie, Y Yang… - IEEE transactions on …, 2017 - ieeexplore.ieee.org
Video semantic recognition usually suffers from the curse of dimensionality and the absence
of enough high-quality labeled instances, thus semisupervised feature selection gains …

Learning Robust Discriminant Subspace Based on Joint L₂,- and L₂,-Norm Distance Metrics

L Fu, Z Li, Q Ye, H Yin, Q Liu, X Chen… - IEEE transactions on …, 2020 - ieeexplore.ieee.org
Recently, there are many works on discriminant analysis, which promote the robustness of
models against outliers by using L 1-or L 2, 1-norm as the distance metric. However, both of …

Optimal mean robust principal component analysis

F Nie, J Yuan, H Huang - International conference on …, 2014 - proceedings.mlr.press
Dimensionality reduction techniques extract low-dimensional structure from high-
dimensional data and are widespread in machine learning research. In practice, due to …

Joint sparse principal component analysis

S Yi, Z Lai, Z He, Y Cheung, Y Liu - Pattern Recognition, 2017 - Elsevier
Principal component analysis (PCA) is widely used in dimensionality reduction. A lot of
variants of PCA have been proposed to improve the robustness of the algorithm. However …

Bayesian robust tensor factorization for incomplete multiway data

Q Zhao, G Zhou, L Zhang, A Cichocki… - IEEE transactions on …, 2015 - ieeexplore.ieee.org
We propose a generative model for robust tensor factorization in the presence of both
missing data and outliers. The objective is to explicitly infer the underlying low …

Nonpeaked discriminant analysis for data representation

Q Ye, Z Li, L Fu, Z Zhang, W Yang… - IEEE transactions on …, 2019 - ieeexplore.ieee.org
Of late, there are many studies on the robust discriminant analysis, which adopt L 1-norm as
the distance metric, but their results are not robust enough to gain universal acceptance. To …

Principal component analysis and optimization: A tutorial

R Reris, JP Brooks - 2015 - scholarscompass.vcu.edu
Principal component analysis (PCA) is one of the most widely used multivariate techniques
in statistics. It is commonly used to reduce the dimensionality of data in order to examine its …

Optimal Algorithms for -subspace Signal Processing

PP Markopoulos, GN Karystinos… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
We describe ways to define and calculate L 1-norm signal subspaces that are less sensitive
to outlying data than L 2-calculated subspaces. We start with the computation of the L 1 …

Efficient L1-norm principal-component analysis via bit flipping

PP Markopoulos, S Kundu… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
It was shown recently that the K L1-norm principal components (L1-PCs) of a real-valued
data matrix X∈ RD× N (N data samples of D dimensions) can be exactly calculated with cost …

Coherence pursuit: Fast, simple, and robust principal component analysis

M Rahmani, GK Atia - IEEE Transactions on Signal Processing, 2017 - ieeexplore.ieee.org
This paper presents a remarkably simple, yet powerful, algorithm termed coherence pursuit
(CoP) to robust principal component analysis (PCA). As inliers lie in a low-dimensional …