From the 1 of 12 linked papers with an AI index.
12 papers
Generalization Bounds on Optimal Control for Transformer Training and Wasserstein Distributional Robustness
KaÄan Akman, Naci Saldi, Serdar Yüksel
The paper derives finite‑sample generalization bounds for Transformer models by formulating their training as a finite‑horizon Markovian control problem, using quantized approximat…
Optimality of Symmetric Independent Policies under Decentralized Mean-Field Information Sharing for Stochastic Teams and Equivalence with McKean-Vlasov Control of a Representative Agent
Sina Sanjari, Naci Saldi, Serdar Yüksel
We study a class of stochastic exchangeable teams with a finite number of decision makers (DMs) as well as their mean-field limits with infinitely many DMs. In the finite populatio…
SLAM as a Stochastic Control Problem with Partial Information: Optimal Solutions and Rigorous Approximations
Ilir Gusija, Fady Alajaji, Serdar Yüksel
Simultaneous localization and mapping (SLAM) is a foundational state estimation problem in robotics in which a robot accurately constructs a map of its environment while also local…
Reinforcement Learning for Jointly Optimal Coding and Control Policies for a Controlled Markovian System over a Communication Channel
Evelyn Hubbard, Liam Cregg, Serdar Yüksel
We study the problem of joint optimization involving coding and control policies for a controlled Markovian sytem over a finite-rate noiseless communication channel. While structur…
An Optimal Control Approach To Transformer Training
KaÄan Akman, Naci Saldı, Serdar Yüksel
In this paper, we develop a rigorous optimal control-theoretic approach to Transformer training that respects key structural constraints such as (i) realized-input-independence dur…
Robustness to Model Approximation, Model Learning From Data, and Sample Complexity in Wasserstein Regular MDPs
Yichen Zhou, Yanglei Song, Serdar Yüksel
The paper studies the robustness properties of discrete-time stochastic optimal control under Wasserstein model approximation for both discounted-cost and average-cost criteria. Sp…