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cs.LG2025

Why Most Optimism Bandit Algorithms Have the Same Regret Analysis: A Simple Unifying Theorem

Vikram Krishnamurthy

Several optimism-based stochastic bandit algorithms -- including UCB, UCB-V, linear UCB, and finite-arm GP-UCB -- achieve logarithmic regret using proofs that, despite superficial…

math.OC2025

Malliavin Calculus with Weak Derivatives for Counterfactual Stochastic Optimization

Vikram Krishnamurthy, Luke Snow

We study counterfactual stochastic optimization of conditional loss functionals under misspecified and noisy gradient information. The difficulty is that when the conditioning even…

eess.SY2025

Multi-Agent Inverse Reinforcement Learning for Identifying Pareto-Efficient Coordination -- A Distributionally Robust Approach

Luke Snow, Vikram Krishnamurthy

Multi-agent inverse reinforcement learning (IRL) aims to identify Pareto-efficient behavior in a multi-agent system, and reconstruct utility functions of the individual agents. Mot…

eess.SY2025

Multi-Agent Inverse Learning for Sensor Networks: Identifying Coordination in UAV Networks

Luke Snow, Vikram Krishnamurthy

Suppose there is an adversarial UAV network being tracked by a radar. How can the radar determine whether the UAVs are coordinating, in some well-defined sense? How can the radar i…

cs.LG2025

Inverse Reinforcement Learning using Revealed Preferences and Passive Stochastic Optimization

Vikram Krishnamurthy

This monograph, spanning three chapters, explores Inverse Reinforcement Learning (IRL). The first two chapters view inverse reinforcement learning (IRL) through the lens of reveale…

cs.LG2025

Efficient Neural SDE Training using Wiener-Space Cubature

Luke Snow, Vikram Krishnamurthy

A neural stochastic differential equation (SDE) is an SDE with drift and diffusion terms parametrized by neural networks. The training procedure for neural SDEs consists of optimiz…