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VARA-PINNexact

Guarded Final Repair And RAR Baseline

A guarded final physics-repair phase was added to recover physics consistency after adaptive training.

Recorded by commits 66d8622 through 9f92e10

Experiment Note

A guarded final physics-repair phase was added to recover physics consistency after adaptive training. A separate collateral-damage guard was tried and then reverted, indicating that the first form either duplicated safeguards or did not behave reliably enough to retain. On 4 June, a residual-adaptive-refinement (RAR) ablation baseline was added.

Technical Essay

Adaptive allocation can optimize reconstruction while leaving a residual or boundary term slightly worse. A final physics repair is a plausible remedy, but it creates a second intervention whose cost and side effects must also be guarded. The scientifically safe design is to compare raw, unweighted metrics before and after repair, restore the previous checkpoint if a protected metric degrades beyond tolerance, and exclude the repair from exact equal-step studies unless every method receives the same phase.

RAR was the necessary baseline because it isolates the question: is the gain just from moving collocation points toward large residuals, or does retaining variable identity, regional persistence, action type, and rollback add value?

Reading Note

Residual-based adaptive refinement is one of the closest precedents to VARA. Its strength is spatial targeting; its limitation for this research question is that a scalar residual does not preserve which physical field or objective is failing. This helped define mechanism ablations: sampling only, local loss only, regional but no variable awareness, unguarded control, and full VARA.

Progress Update

The repository now had both a post-training safeguard and a direct adaptive- sampling comparator. The project was transitioning from "Does VARA work?" to "Which part works, under what compute definition, and at what cost?"

This reconstruction preserves the source range and editorial confidence label. An approximate date or empirical result is never strengthened during editing.

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