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Automatic Differentiation

Automatic differentiation (AD) computes exact derivatives by systematically applying the chain rule to your program, not by symbolic algebra or numerical differences.

#automatic differentiation#dual numbers#forward mode+12
∑MathIntermediate

Multivariable Chain Rule

The multivariable chain rule explains how rates of change pass through a pipeline of functions by multiplying the right derivatives (Jacobians) in the right order.

#multivariable chain rule
Advanced
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#reverse mode
#jacobian
#gradient
+12
📚TheoryIntermediate

Matrix Calculus

Matrix calculus extends ordinary calculus to functions whose inputs and outputs are vectors and matrices, letting you compute gradients, Jacobians, and Hessians systematically.

#matrix calculus#gradient#jacobian+12