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Stan Math reverse-mode automatic differentiation library

Contribution grade

Differentiable numerical computing · Human-designed research method or resource

Reference score155,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Provides C++ reverse-mode automatic differentiation with extensible typed mathematical/probability functions and functor-based gradient interfaces for inference and optimization.

Scientific scope

Provides C++ reverse-mode automatic differentiation with extensible typed mathematical/probability functions and functor-based gradient interfaces for inference and optimization. This is an implementation/library contribution, not invention of reverse-mode differentiation, the chain rule or Eigen. The implementation design does not certify every benchmark result or arbitrary numerical guarantees. It is distinct from the Stan model language/runtime record.

Evidence

The linked original sources describe the stated contribution and its evidence limits. WRS has not independently rerun the experiments or certified a proof. This is an implementation/library contribution, not invention of reverse-mode differentiation, the chain rule or Eigen. The implementation design does not certify every benchmark result or arbitrary numerical guarantees. It is distinct from the Stan model language/runtime record.

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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