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Theoretical Analysis of ODE Trajectory Stability Under Noisy EEG Initialization

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This paper analyzes the stability of Neural Ordinary Differential Equations (Neural ODEs) trajectories under noisy EEG initialization, deriving stability bounds and proposing novel regularization strategies for EEG applications.

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Key findings

Derives Lipschitz-based stability bounds for EEG applications.

Establishes Lyapunov stability criteria for Neural ODEs under noisy initialization.

Proposes novel initialization strategies and noise-aware regularization techniques.

Develops practical solver selection guidelines based on stability region analysis.

Limitations & open questions

The study focuses on theoretical analysis and requires further empirical validation on diverse EEG datasets.

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