2 citations · 4 across the 15 of their papers we have counts for
8 papers · 1 filter
Almost Sure Convergence and Non-asymptotic Concentration Bounds for Stochastic Mirror Descent Algorithm
Anik Kumar Paul, Arun D Mahindrakar, Rachel K Kalaimani
This letter investigates the convergence and concentration properties of the Stochastic Mirror Descent (SMD) algorithm utilizing biased stochastic subgradients. We establish the al…
Convergence Analysis of Stochastic Saddle Point Mirror Descent Algorithm -- A Projected Dynamical View Point
Anik Kumar Paul, Arun D Mahindrakar, Rachel K Kalaimani
Saddle point problems, ubiquitous in optimization, extend beyond game theory to diverse domains like power networks and reinforcement learning. This paper presents novel approaches…
Robust Analysis of Almost Sure Convergence of Zeroth-Order Mirror Descent Algorithm
Anik Kumar Paul, Arun D Mahindrakar, Rachel K Kalaimani
This letter presents an almost sure convergence of the zeroth-order mirror descent algorithm. The algorithm admits non-smooth convex functions and a biased oracle which only provid…
Online Distributed Algorithm for Optimal Power Flow problem with Regret Analysis
Sushobhan Chatterjee, Rachel Kalpana Kalaimani
We investigate the distributed DC-Optimal Power Flow (DC-OPF) problem for a dynamic and uncertain environment. The unpredictable supply of renewable resources and varying prices of…
Distributed Optimization of Average Consensus Containment with Multiple Stationary Leaders
Sushobhan Chatterjee, Rachel Kalpana Kalaimani
In this paper, we consider the problem of containment control of multi-agent systems with multiple stationary leaders, interacting over a directed network. While, containment contr…
Distributed Online Optimization with Byzantine Adversarial Agents
Sourav Sahoo, Anand Gokhale, Rachel Kalpana Kalaimani
We study the problem of non-constrained, discrete-time, online distributed optimization in a multi-agent system where some of the agents do not follow the prescribed update rule ei…
Distributed ADMM with linear updates over directed networks
Kiran Rokade, Rachel Kalpana Kalaimani
We propose a distributed version of the Alternating Direction Method of Multipliers (ADMM) with linear updates for directed networks. We show that if the objective function of the…
Formation control with pole placement for multi-agent systems
Ameer K. Mulla, Rachel K. Kalaimani, Debraj Chakraborty +1
The problem of distributed controller synthesis for formation control of multi-agent systems is considered. The agents (single integrators) communicate over a communication graph a…