A comparative analysis of the principal component analysis and entropy weight methods to establish the indexing measurement

RMX Wu, Z Zhang, W Yan, J Fan, J Gou, B Liu, E Gide… - PloS one, 2022 - journals.plos.org
Background As the world's largest coal producer, China was accounted for about 46% of
global coal production. Among present coal mining risks, methane gas (called gas in this …

Fun with Flags: Robust Principal Directions via Flag Manifolds

N Mankovich, G Camps-Valls… - Proceedings of the IEEE …, 2024 - openaccess.thecvf.com
Principal component analysis (PCA) along with its extensions to manifolds and outlier
contaminated data have been indispensable in computer vision and machine learning. In …

Which objective weight method is better: PCA or entropy?

RMX Wu - Scientific Journal of Research & Reviews, 2022 - opus.lib.uts.edu.au
Multi-criteria decision-making (MCDM) methods have significantly been used for evaluating
and ranking critical factors with conflicting characteristics in different fields and disciplines …

Modelling the deflection of reinforced concrete beams using the improved artificial neural network by imperialist competitive optimization

N Li, PG Asteris, TT Tran, B Pradhan… - Steel and Composite …, 2022 - koreascience.kr
This study proposed a robust artificial intelligence (AI) model based on the social behaviour
of the imperialist competitive algorithm (ICA) and artificial neural network (ANN) for …

On the asymptotic L1-PC of elliptical distributions

M Dhanaraj, PP Markopoulos - IEEE Signal Processing Letters, 2022 - ieeexplore.ieee.org
The dominant eigenvector of the covariance matrix of a zero-mean data distribution
describes the line wherein the variance of the projected data is maximized. In practical …

On orthogonal projections for dimension reduction and applications in augmented target loss functions for learning problems

A Breger, JI Orlando, P Harar, M Dörfler… - Journal of Mathematical …, 2020 - Springer
The use of orthogonal projections on high-dimensional input and target data in learning
frameworks is studied. First, we investigate the relations between two standard objectives in …

Data dimensionality reduction technique for clustering problem of metabolomics data

AY Gunawan, MTAP Kresnowati - Heliyon, 2022 - cell.com
In metabolomics studies, independent analyses or replicating the metabolite concentration
measurements are often performed to anticipate errors. On the other hand, the size of the …

On the rotational invariant l1-norm PCA

S Neumayer, M Nimmer, S Setzer, G Steidl - Linear Algebra and its …, 2020 - Elsevier
Principal component analysis (PCA) is a powerful tool for dimensionality reduction.
Unfortunately, it is sensitive to outliers, so that various robust PCA variants were proposed in …

A new formation of supervised dimensionality reduction method for moving vehicle classification

KS Chandrasekar, P Geetha - Neural Computing and Applications, 2021 - Springer
Analyzing a large number of features set for the classification process entails cost and
complexity. To reduce this burden, dimensionality reduction has been applied to the …

Robust PCA via Regularized Reaper with a Matrix-Free Proximal Algorithm

R Beinert, G Steidl - Journal of Mathematical Imaging and Vision, 2021 - Springer
Principal component analysis (PCA) is known to be sensitive to outliers, so that various
robust PCA variants were proposed in the literature. A recent model, called reaper, aims to …