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∑MathIntermediate

Wasserstein Distance & Optimal Transport

Wasserstein distance (Earth Mover’s Distance) measures how much “work” is needed to transform one probability distribution into another by moving mass with minimal total cost.

#wasserstein distance#earth mover's distance#optimal transport+12
∑MathIntermediate

Random Variables & Distributions

A random variable maps uncertain outcomes to numbers and is described by a distribution that assigns likelihoods to values or ranges.

#random variable
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#cdf
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+12
📚TheoryAdvanced

Optimal Transport Theory

Optimal Transport (OT) formalizes the cheapest way to move one probability distribution into another given a cost to move mass.

#optimal transport#wasserstein distance#kantorovich+12
📚TheoryIntermediate

Probability Distributions

Probability distributions describe how random outcomes are spread across possible values and let us compute probabilities, expectations, and uncertainties.

#probability distributions#pmf#pdf+12