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Paper · arXiv

Retracing Hodgkin and Huxley: State Recovery Does Not Certify Mechanism

Predicting observed dynamics does not establish recovery of the underlying physical mechanism. Can machine learning retrace the hidden-state reasoning behind the Hodgkin-Huxley (HH) model? We train structured latent models on simulated current and voltage, withholding gate identities and trajectories from training and model selection. We then test response prediction, state recovery, protocol transfer, and agreement with HH dynamics. Prediction error and its cross-seed spread both drop sharply at three latent dimensions under the tested protocols, while gate recovery under new protocols improves through five to six coordinates. State recovery depends on which observations the chart uses. ...

AuthorsPeiyu Zang, Jiayi Hao, Yongqiang Cai
Primary categorycs.LG
Published28 September 2026
Last updated at source28 September 2026
cs.LG
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