2 papers
math.PR2026
Stochastic Approximation in Banach Spaces Without Geometric Constraints
Rajeeva Laxman Karandikar, B V Rao
The thrust of this article is to show that on all Banach spaces, stochastic approximation holds when the noise sequence is an i.i.d. sequence with mean 0, without imposing any cond…
math.OC2025
Revisiting Stochastic Approximation and Stochastic Gradient Descent
Rajeeva Laxman Karandikar, Bhamidi Visweswara Rao, Mathukumalli Vidyasagar
In this paper, we introduce a new approach to proving the convergence of the Stochastic Approximation (SA) and the Stochastic Gradient Descent (SGD) algorithms. The new approach is…