2 citations · 3 across the 9 of their papers we have counts for
9 papers
Rate-cost Trade-offs in H-infinity Control with Initial State Uncertainty
Vikrant Malik, Victoria Kostina, Babak Hassibi
We consider the problem of H-infinity control in the presence of a digital communication channel between the observer and the controller and investigate the fundamental trade-off b…
Deriving Approximate Message Passing from the Convex Gaussian Min-Max Theorem
Vikrant Malik, Babak Hassibi
Approximate message passing (AMP) provides fast iterative algorithms for high-dimensional signal recovery with Gaussian design matrices, while the Convex Gaussian Min--max Theorem…
Distributionally Robust K-Means Clustering
Vikrant Malik, Taylan Kargin, Babak Hassibi
K-means clustering is a workhorse of unsupervised learning, but it is notoriously brittle to outliers, distribution shifts, and limited sample sizes. Viewing k-means as Lloyd--Max…
Optimal Infinite-Horizon Mixed Control
Vikrant Malik, Taylan Kargin, Joudi Hajar +1
We study the problem of mixed control in the infinite-horizon setting. We identify the optimal causal controller that minimizes the …
The Distributionally Robust Infinite-Horizon LQR
Joudi Hajar, Taylan Kargin, Vikrant Malik +1
We explore the infinite-horizon Distributionally Robust (DR) linear-quadratic control. While the probability distribution of disturbances is unknown and potentially correlated over…
Distributionally Robust Kalman Filtering over Finite and Infinite Horizon
Taylan Kargin, Joudi Hajar, Vikrant Malik +1
This paper investigates the distributionally robust filtering of signals generated by state-space models driven by exogenous disturbances with noisy observations in finite and infi…
Infinite-Horizon Distributionally Robust Regret-Optimal Control
Taylan Kargin, Joudi Hajar, Vikrant Malik +1
We study the infinite-horizon distributionally robust (DR) control of linear systems with quadratic costs, where disturbances have unknown, possibly time-correlated distribution wi…
A Distributionally Robust Approach to Shannon Limits using the Wasserstein Distance
Vikrant Malik, Taylan Kargin, Victoria Kostina +1
We consider the rate-distortion function for lossy source compression, as well as the channel capacity for error correction, through the lens of distributional robustness. We assum…
Wasserstein Distributionally Robust Regret-Optimal Control in the Infinite-Horizon
Taylan Kargin, Joudi Hajar, Vikrant Malik +1
We investigate the Distributionally Robust Regret-Optimal (DR-RO) control of discrete-time linear dynamical systems with quadratic cost over an infinite horizon. Regret is the diff…