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Theory of Stochastic Approximation

#sgd #stochastic #robins-monro #theory

Examine the mathematical foundations of Stochastic Gradient Descent.

Discuss the theoretical foundations of Stochastic Approximation, focusing on the Robbins-Monro conditions. Explain how these conditions regarding the step size (learning rate) ensure convergence in Stochastic Gradient Descent (SGD) despite the noise introduced by random sampling of the gradient.