Principal Component Analysis
MachineLearningTask AIO:PrincipalComponentAnalysis NOT_REVIEWED
A dimensionality reduction method for analyzing large datasets with high-dimensional features per observation increasing data interpretability while preserving maximum information and enabling visualization.
Ontology IRI:
https://w3id.org/aio/PrincipalComponentAnalysis
Ontology Structure & Relationships
Parent Classes
Branches
Annotations & Sources
Synonyms:
- PCA exact
Definition Sources:
Subsets:
https://w3id.org/aio/MachineLearningSubset
Curated AIMech Concepts Grounded to this Class
6 Concepts| Curated Concept | Kind | Mapping Relation | Rationale |
|---|---|---|---|
Kernel Principal Component Analysis
AIMech:KernelPCA |
Algorithms | related_match | Kernel PCA uses ordinary PCA in an implicit centered feature space and recovers it for a linear kernel. The pinned task-hierarchy PCA record is related to this particular kernel algorithm; the mapping asserts neither exact identity nor a forced algorithm/task subclass relation. |
Mixtures of Probabilistic Principal Component Analyzers
AIMech:MixturesOfProbabilisticPCA |
Model Families | related_match | The component covariance fits use local weighted principal subspaces; the mixture probability model is not identical to task-scoped PCA. |
Oja Learning Rule
AIMech:OjaLearningRule |
Algorithms | related_match | For centered inputs and the stated conditions, this learning rule estimates one leading PCA direction. The pinned target is task-scoped PCA, not this synaptic update or a complete multi-component algorithm. |
Probabilistic Principal Component Analysis
AIMech:ProbabilisticPCA |
Model Families | related_match | Its likelihood eigensolution spans a principal subspace, but the normalized latent model, posterior uncertainty and shrinkage differ from the task-scoped PCA record. This relation preserves the model/task distinction. |
Spectral hashing
AIMech:SpectralHashing |
Algorithms | related_match | PCA supplies the coordinate axes used by the original spectral-hashing algorithm. This is a component relationship, not equivalence or a claim that the final nonlinear binary code is a PCA projection. The pinned PCA entry is task-scoped, and binary-code length is not necessarily lower than input dimension. |
Supervised Principal Components
AIMech:SupervisedPrincipalComponents |
Algorithms | related_match | The procedure computes PCA after outcome-based screening, but adds supervised selection and prediction. The target is task-scoped PCA rather than this complete algorithm. |
Import Provenance & Upstream Synchronization
Source Repo: AIO GitHub
Release Version:
aio.jsonCommit:
397851c547…License: CC-BY-4.0
Imported At: 2026-10-10T07:34:10Z
SHA256:
8f741d71408c…
Source File:
data/aio/PrincipalComponentAnalysis.yaml