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Tutorial on PCA and approximate PCA and approximate kernel PCA

open access: yesArtificial Intelligence Review, 2022
Principal Component Analysis (PCA) is one of the most widely used data analysis methods in machine learning and AI. This manuscript focuses on the mathematical foundation of classical PCA and its application to a small-sample-size scenario and a large ...
S. Marukatat
semanticscholar   +2 more sources

Geodesic PCA in the Wasserstein space by Convex PCA [PDF]

open access: yesAnnales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2017
We introduce the method of Geodesic Principal Component Analysis (GPCA) on the space of probability measures on the line, with finite second moment, endowed with the Wasserstein metric.
Jérémie Bigot   +3 more
semanticscholar   +6 more sources

PCA of waveforms and functional PCA: A primer for biomechanics [PDF]

open access: yesJournal of Biomechanics, 2021
Principal components analysis (PCA) of waveforms and functional PCA (fPCA) are statistical approaches used to explore patterns of variability in biomechanical curve data, with fPCA being an accepted statistical method grounded within the functional data analysis (FDA) statistical framework.
Norma Bargary   +7 more
openaire   +2 more sources

Tangent Phylogenetic PCA [PDF]

open access: yes, 2023
Phylogenetic PCA (p-PCA) is a version of PCA for observations that are leaf nodes of a phylogenetic tree. P-PCA accounts for the fact that such observations are not independent, due to shared evolutionary history. The method works on Euclidean data, but in evolutionary biology there is a need for applying it to data on manifolds, particularly shapes ...
Akhøj, Morten   +2 more
openaire   +5 more sources

Singular Learning of Deep Multilayer Perceptrons for EEG-Based Emotion Recognition

open access: yesFrontiers in Computer Science, 2021
Human emotion recognition is an important issue in human–computer interactions, and electroencephalograph (EEG) has been widely applied to emotion recognition due to its high reliability.
Weili Guo   +6 more
doaj   +1 more source

Principal Component Analysis (PCA)

open access: yesEncyclopedia of Autism Spectrum Disorders, 2021
• Patternrecognition in high-dimensional spaces-P roblems arise when performing recognition in a high-dimensional space (e.g., curse of dimensionality).-S ignificant improvements can be achievedb yfi rst mapping the data into a lower-dimensionality space.
Takio Kurita
semanticscholar   +1 more source

تعیین تیپ اقلیمی مناطق مختلف با استفاده از روش تحلیل مؤلفه های اصلی [PDF]

open access: yesمدیریت آب و آبیاری, 2021
ﺗﻐﯿﯿﺮات اﻗﻠﯿﻤﯽ در اﺑﻌﺎد وﺳﯿﻊ ﺳﺒﺐ اﻓﺰاﯾﺶ تغییر شاخص‌های حدی می‌شود. از آنجا که این شاخص‌ها نقش مهمی در بروز خشک‌سالی‌‌، سیل‌ها و دیگر بلایای اقلیمی دارند، بررسی رفتار آن‌ها در بستر تغییرات اقلیمی ضروری است.
فرحناز خرم آبادی   +4 more
doaj   +1 more source

Principal Component Analyses (PCA)-based findings in population genetic studies are highly biased and must be reevaluated

open access: yesScientific Reports, 2022
Principal Component Analysis (PCA) is a multivariate analysis that reduces the complexity of datasets while preserving data covariance. The outcome can be visualized on colorful scatterplots, ideally with only a minimal loss of information.
E. Elhaik
semanticscholar   +1 more source

Fusion of PCA and Segmented-PCA Domain Multiscale 2-D-SSA for Effective Spectral-Spatial Feature Extraction and Data Classification in Hyperspectral Imagery

open access: yesIEEE Transactions on Geoscience and Remote Sensing, 2022
As hyperspectral imagery (HSI) contains rich spectral and spatial information, a novel principal component analysis (PCA) and segmented-PCA (SPCA)-based multiscale 2-D-singular spectrum analysis (2-D-SSA) fusion method is proposed for joint spectral ...
Hang Fu   +4 more
semanticscholar   +1 more source

Determinants of Commercial Banks' Performance in Malawi: An Autoregressive Distributed Lag (ARDL) Approach

open access: yesNational Accounting Review, 2021
There has been a monotonic increase in research investigating the performance of commercial banks across the globe. This is a recognition that the banking industry has a significant contribution to the service sector and national output.
Lloyd George Banda
doaj   +1 more source

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