Physics-Informed Neural Network Surrogate for Oxygen Vacancy Dynamics in epitaxial SrTiO 3 on Si memristors via Dynamic Spectral Optimization

arXiv:2609.02966 · cond-mat.mtrl-sci, cs.LG · Submitted 2026-09-02 · Read on arXiv

cond-mat.mtrl-sci, cs.LG

Submitted: 2026-09-02

Updated: 2026-09-02

Terminology

• Hysteresis — 14× in this paper · explained in 3 episodes
• Trace — 13× in this paper · explained in 2 episodes
• Adam — 7× in this paper · explained in 2 episodes
• Activation Function — 6× in this paper · explained in 1 episode
• PDE residual — 5× in this paper · explained in 2 episodes
• Regularization — 5× in this paper · explained in 3 episodes
• Fidelity — 4× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Consistency — 3× in this paper · explained in 3 episodes
• Dynamic Spectral Optimizer — 3× in this paper
• Non-linear Coupling — 3× in this paper · explained in 2 episodes
• Physics-Informed Neural Networks (PINNs) — 3× in this paper · explained in 6 episodes
• Alignment — 2× in this paper · explained in 1 episode
• Anisotropy — 2× in this paper · explained in 3 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• International Conference on Machine Learning — 2× in this paper
• Loss Function — 2× in this paper · explained in 2 episodes
• Approximation Bound — 1× in this paper · explained in 1 episode
• Chebyshev Polynomials — 1× in this paper · explained in 2 episodes
• Exponential Moving Average (EMA) — 1× in this paper · explained in 2 episodes
• Fisher Information — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• In International Conference on Learning Representations — 1× in this paper
• Inverse Problem — 1× in this paper · explained in 2 episodes
• Neural Tangent Kernel — 1× in this paper
• Physics-Informed Neural Network (PINN) — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• High-order Discontinuity Detection Physics-Informed Neural Network
• SOAP: Improving and Stabilizing Shampoo using Adam
• Towards Practical Second-Order Optimizers in Deep Learning: Insights from Fisher Information Analysis
• Optimizing the Optimizer for Physics-Informed Neural Networks and Kolmogorov-Arnold Networks
• Blockwise Stabilized Adaptive Cubic Regularization with Subsolvers via Recurrence

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