The error-gated Hebbian rule for PCA arises exactly as a frame coefficient when Oja's subspace rule is expanded in the space of symmetric matrices under Gaussian inputs.
On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables.Biometrika, 12(1/2):134–139
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Frame Theoretical Derivation of Three Factor Learning Rule for Oja's Subspace Rule
The error-gated Hebbian rule for PCA arises exactly as a frame coefficient when Oja's subspace rule is expanded in the space of symmetric matrices under Gaussian inputs.