How does the Root Mean Square Error (RMSE) quantify the difference between predicted values and observed values in regression analysis?

What expected calibration error (ECE) measures: gap between confidence and accuracy

ECE quantifies the discrepancy between a model's predicted confidence and its actual accuracy

How is the coefficient of determination (R^2) calculated from a simple linear regression model?

R^2 = 1 - (SSR/SST), where SSR is the sum of squared residuals and SST is the total sum of squares

What calibration means: a model predicting 80% should be correct 80% of the time

Calibration: Model's predicted probabilities match actual outcomes' frequencies

What denoising score matching does: learns to denoise, which equals learning the score

Denoising score matching learns to remove noise, enhancing signal representation and interpretation

Time complexity of quicksort: O(n log n) average, O(n²) worst case

Quicksort's average-case time complexity: O(n log n), worst-case: O(n²)

How does the choice of norm affect the shape of the unit ball in a given vector space, specifically comparing the properties of L1 and L∞ norms?

L1 norms create diamond-shaped unit balls, while L∞ norms yield cube-shaped unit balls