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Paper · arXiv

Soft MPCritic: Value-Based Reinforcement Learning for Non-Differentiable Predictive Control

Reinforcement learning (RL) and model predictive control (MPC) offer complementary strengths, yet existing MPC-RL frameworks commonly rely on gradient-based optimization and therefore cannot handle the non-differentiable dynamics and objectives common in RL. We propose Soft MPCritic, an MPC-RL framework that learns a soft value function and uses sampling-based planning both for online control and for generating value targets. Specifically, Soft MPCritic instantiates MPC with model predictive path integral control (MPPI) and learns a terminal Q-function through fitted value iteration. Because the value targets are computed by the same planner used for control, the learned value function is...

AuthorsThomas Banker, Nathan P. Lawrence, Ali Mesbah
Primary categorycs.LG
Published1 April 2026
Last updated at source12 October 2026
cs.LGeess.SY
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