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2 docs tagged with "vector-calculus"

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Gradients - The Direction of Steepest Ascent

Defining the Gradient vector, its mathematical composition from partial derivatives, its geometric meaning as the direction of maximum increase, and its role as the central mechanism for learning in Machine Learning.

The Jacobian Matrix

Understanding the Jacobian matrix, its role in vector-valued functions, and its vital importance in backpropagation and modern deep learning frameworks.