TRAIN20: matched-parameter operator families

New models delivered: 4/4. Completed TS3 and FNO references are reused. Final6000 metrics appear only after SHA download, independent CPU audit and visual delivery.

Identical TRAIN20 maximin cases, original56 inputs/4 outputs, seed20261029, FP64, relative-L2-squared U/VM loss, 6000 actual20-case updates. Active trainable counts matched within1%. TRAIN20 fitting, not heldout generalization; one seed and fixed budget do not establish universal causality.

ModelStatus / updatesActive parametersU mean / worst (%)VM mean / worst (%)Peak5 VM mean / worst (%)Negative VM cases
TS1 / Transolverdelivered / 60009828841.5197/3.03013.0522/5.09102.7094/7.97100
TS2 / Transolver++delivered / 60009811721.5800/3.33473.2820/5.24552.8295/8.02320
TS3 referencedelivered / 60009828841.6630/3.01183.0427/5.11922.7921/8.18860
GNOTdelivered / 60009821702.1814/3.08467.2196/8.83068.0863/9.93662
OFormerdelivered / 60009902681.6468/1.98833.4072/4.53462.5496/3.22980
FNO referencedelivered / 60009846682.0247/2.94821.8390/2.36371.0444/1.94972

Raw negative predictions are retained. None of the currently delivered configurations satisfies U and VM <=1% on every training case. Best-train checkpoints are supplementary.

Full metrics CSV | Delivery evidence

Final interpretation / all four new models delivered

At the fixed6000 budget, TS1 / Transolver has the lowest mean U error (1.5197%), while OFormer has the lowest worst-case U error (1.9883%). These are different criteria; there is no single winner on all metrics.

FNO reference has the lowest mean VM error (1.8390%) and FNO reference the lowest worst-case VM error (2.3637%). FNO nevertheless has 2 cases with raw negative VM, so its lower relative error does not guarantee physically nonnegative predictions.

Compared with the TS3 reference, TS1, TS2 and OFormer have lower mean U errors but higher mean VM errors. GNOT has higher mean U and VM errors than TS3 under this exact setup. The official architectures with matched parameter counts still behave differently at the same fixed budget; this observation does not establish a universal architectural cause.

GNOT final6000: mean/worst U 2.1814%/3.0846%, mean/worst VM 7.2196%/8.8306%, 2 negative-VM cases, minimum -4.703556 MPa. The stress field remains the main error component. The completed budget was not extended to reach an accuracy threshold.

No configuration meets both U and VM <=1% on every TRAIN20 case. These 20 cases are training cases, not an independent test set. One seed, one parameter scale and one fixed optimization budget support this comparison only; the separate 800/100/100 GNOT experiment remains pending and will have its own heldout-test report.