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DeepXDE neural differential-equation software with adaptive residual refinement

Contribution grade

Scientific machine learning · Human-designed research method or resource

Reference score125,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Implements PINN problem specification, geometry/boundary handling and training workflows, with residual-based adaptive refinement that adds training points at high sampled residuals.

Scientific scope

Implements PINN problem specification, geometry/boundary handling and training workflows, with residual-based adaptive refinement that adds training points at high sampled residuals. Four original authors; stars are institutional affiliations, not equal-contribution marks. Software/RAR contribution distinct from original PINN method. Inherits derivative approximation theory; sampling/optimization and quadrature errors remain. RAR Monte Carlo stopping is not a rigorous global error certificate or unrestricted PDE convergence.

Evidence

The linked original sources describe the stated contribution and its evidence limits. WRS has not independently rerun the experiments or certified a proof. Four original authors; stars are institutional affiliations, not equal-contribution marks. Software/RAR contribution distinct from original PINN method. Inherits derivative approximation theory; sampling/optimization and quadrature errors remain. RAR Monte Carlo stopping is not a rigorous global error certificate or unrestricted PDE convergence.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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