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cs.LG2025
Robust Control with Gradient Uncertainty
Qian Qi
We introduce a novel extension to robust control theory that explicitly addresses uncertainty in the value function's gradient, a form of uncertainty endemic to applications like r…
cs.LG2025
Universal Approximation Theorem for Deep Q-Learning via FBSDE System
Qian Qi
The approximation capabilities of Deep Q-Networks (DQNs) are commonly justified by general Universal Approximation Theorems (UATs) that do not leverage the intrinsic structural pro…
cs.LG2025
Universal Approximation Theorem of Deep Q-Networks
Qian Qi
We establish a continuous-time framework for analyzing Deep Q-Networks (DQNs) via stochastic control and Forward-Backward Stochastic Differential Equations (FBSDEs). Considering a…