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math.OC2025
Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters
Mathukumalli Vidyasagar
In this paper, we present a unified algorithm for stochastic optimization that makes use of a "momentum" term; in other words, the stochastic gradient depends not only on the curre…
math.OC2023
Convergence of the Stochastic Heavy Ball Method With Approximate Gradients and/or Block Updating
Uday Kiran Reddy Tadipatri, Mathukumalli Vidyasagar
In this paper, we establish the convergence of the stochastic Heavy Ball (SHB) algorithm under more general conditions than in the current literature. Specifically, (i) The stochas…
math.OC2022
Convergence of Batch Updating Methods with Approximate Gradients and/or Noisy Measurements: Theory and Computational Results
Tadipatri Uday Kiran Reddy, M. Vidyasagar
In this paper, we present a unified and general framework for analyzing the batch updating approach to nonlinear, high-dimensional optimization. The framework encompasses all the c…