Theory of Intelligence
MATH FOR AI•Probability•Expectation And Independence•2.1 Expectation & Variance

Introduction

Expected value, variance and standard deviation, and the linearity of expectation.

Introduction

A full distribution can be complicated. Two numbers summarise it surprisingly well: the expected value (where it is centred) and the variance (how spread out it is). Loss functions are expectations, risk is an expectation, and the bias–variance trade-off is literally about these two quantities.

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