Self-induced stochastic resonance: A physics-informed machine learning approach
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Abstract (arXiv)
Self-induced stochastic resonance (SISR) is the emergence of coherent oscillations in slow-fast excitable systems driven solely by noise, without external periodic forcing or proximity to a bifurcation. This work presents a physics-informed machine learning framework for modeling and predicting SISR in the stochastic FitzHugh-Nagumo neuron. We embed the governing stochastic differential equations and SISR-asymptotic timescale-matching constraints directly into a Physics-Informed Neural Network (PINN) based on a Noise-Augmented State Predictor architecture. The composite loss integrates data fidelity, dynamical residuals, and barrier-based physical constraints derived from Kramers' escape theory. The trained PINN accurately predicts the dependence of spike-train coherence on noise intensity, excitability, and timescale separation, matching results from direct stochastic simulations with substantial improvements in accuracy and generalization compared with purely data-driven methods, while requiring significantly less computation. The framework provides a data-efficient and interpretable surrogate model for simulating and analyzing noise-induced coherence in multiscale stochastic systems.
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References · 18
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- 2020When and why PINNs fail to train: A neural tangent kernel perspectivecited by 629
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- 2021Efficient and Accurate Gradients for Neural SDEscited by 68
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- 2021A deep learning based surrogate model for stochastic simulatorscited by 6
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- 2018Functional importance of noise in neuronal information processingcited by 4
- 2024Stochastic Reservoir Computerscited by 4
- 2021Discovery of slow variables in a class of multiscale stochastic systems via neural networkscited by 2
- 2017Stochastic resonance and optimal information transfer at criticality on a network model of the human connectomecited by 1
- 2020Optimal self-induced stochastic resonance in multiplex neural networks: electrical versus chemical synapsescited by 1
- 2023Combined effects of STDP and homeostatic structural plasticity on coherence resonancecited by 1
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