2203.13372
Predicting Solar Wind Streams from the Inner-Heliosphere to Earth via Shifted Operator Inference
Opal Issan, Boris Kramer
correctmedium confidence
- Category
- math.DS
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper’s derivations of the HUX characteristics and linear shift c(r), the operator-inference least-squares set-up (with Tikhonov), and the cross-correlation-based shift estimation all match the candidate solution’s steps. The model adds explicit normal equations, a short proof that circular cross-correlation maximizes inner-product/minimizes alignment error, and general stability conditions for the reconstruction operator; these are consistent extensions. No substantive contradictions found.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} specialist/solid
\textbf{Justification:}
A solid and well-motivated contribution that unifies a moving-frame transform with operator inference for advection-dominated solar wind models. The derivations are correct and consistent with standard theory; the numerical results convincingly demonstrate accuracy and efficiency against HUX and MAS data. Minor clarifications of assumptions and a brief formal note on cross-correlation optimality would further improve readability and rigor.