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A Closed-loop Framework to Discriminate Models Using Optimal Control
arXiv cs.SY0 views
arXiv:2603.00709v2 Announce Type: replace-cross Abstract: Predicting the response of an observed system to a known input is a fruitful first step to accurately control the system's dynamics. Despite the recent advances in fully data-driven algorithms, the most interpretable way to reach this goal is through mechanistic mathematical modeling. Here, we leverage optimal control and propose a closed-loop iterative method to choose among a set of candidate models the one that most accurately predicts an observed system. We assume that one has control over an input of the observed system and access to measurements of its response. Our approach is to identify the input control that maximally discriminates the response of the candidate models, allowing us to determine which model is best by comparing such responses with the observed data. We demonstrate our proposed framework in numerical simulations before applying it during an electrophysiology experiment, successfully discriminating between different models for photocurrents produced via opsin dynamics.
Source:https://arxiv.org/abs/2603.00709PreviousSmartMeterFM: Flow Matching for Smart Meter Data Generation, Imputation, and Super-Resolution Without RetrainingNextEvaluating Rollout-Verified Reinforcement Fine-Tuning of a Reasoning Model for Multi-Zone Variable-Air-Volume Control
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