Compute the Average Invariant Orthogonality Defect for Multiple Features

This function calculates the average invariant orthogonality defect for a list of features, using the `invariant_orthogonality_defect` function. The orthogonality defect measures the deviation of feature vectors from orthogonality.

simlr_feature_orth(p)

Arguments

p

A list of matrices (or data frames), each representing a set of feature vectors.

Value

A numeric value representing the average invariant orthogonality defect across all the provided feature matrices.

Details

The function iterates over each matrix in the list `p` and applies the `invariant_orthogonality_defect` function to calculate the orthogonality defect for each matrix. The final result is the average orthogonality defect across all matrices.

Examples

# Example data: Two sets of feature matrices
feature1 <- matrix(c(1, 2, 3, 4, 5, 6), nrow = 2)
feature2 <- matrix(c(7, 8, 9, 10, 11, 12), nrow = 2)
feature_list <- list(feature1, feature2)

# Calculate the average orthogonality defect
avg_orthogonality_defect <- simlr_feature_orth(feature_list)
print(avg_orthogonality_defect)
#> [1] 0.5478883