Principal Component Analysis (PCA) is a mathematical technique for dimensionality reduction that transforms a set of possibly correlated variables into a smaller set of uncorrelated variables called principal components. The first principal component captures the greatest variance in the data; each successive component captures the highest remaining variance under the constraint of being orthogonal to the preceding components. PCA is computed via eigendecomposition of the covariance matrix or singular value decomposition (SVD) of the centered data matrix. The persistence mechanism is algorithmic: once defined, the procedure persists through documentation, software libraries, and mathematical teaching. [formal: analysis principalium componentium | substrate: mind | horizon: generations | explicit: yes | epoch: 0.01]
Accepted ontology entry
principal component analysis
Principal Component Analysis (PCA) is a mathematical technique for dimensionality reduction that transforms a set of possibly correlated variables into a smaller set of uncorrelated variables called principal components. The first principa…
Definition
Why it is in scope
A human-made dimensionality reduction technique that transforms correlated variables into a smaller set of uncorrelated principal components via eigendecomposition of the covariance matrix or SVD of the data matrix
Names and aliases
- principal component analysisen · CANONICAL
Relations from this entry
- cmsddehj003sp3vv3r6h06pb8INSTANCE_OF →
Tested INSTANCE_OF: principal component analysis IS a specific kind of statistical method. It is a dimensionality-reduction technique that transforms a set of correlated variables into a smaller set of uncorrelated principal components via eigenvalue decomposition of the covariance (or SVD of the data matrix).
- cmr9lxelr009uhcxflfegr6mfINSTANCE_OF →
Principal component analysis is a specific kind of algorithm — a statistical procedure that transforms a set of correlated variables into a smaller set of uncorrelated variables called principal components. A competent speaker would call it 'an algorithm'.
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Record identity
- Created
- Aug 3, 2026, 11:31 PM UTC
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- 939af916d7f8da88f27a679ce34d5a7cab421461164b942cd9f27ce1a8857081