# Constitutive modeling on hyperelasticity (test) Source: [Constitutive modeling on hyperelasticity (test)]() Collection index: [llms.txt]() Data updated: 2026-02-26T06:01:56.865Z Evaluation of model performance on constitutive modeling using the test split of the hyperelasticity dataset, measured by Relative L2 error. A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage. | Scope | Recorded value | | --- | --- | | Task | Constitutive modeling | | Dataset (including any stated split) | hyperelasticity (test) | | Metric | Relative L2 Error | | Unit | PERCENT | | Direction | Lower is better | | Results loaded | 33 of 33 | | Coverage | All results currently returned for this benchmark | Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol. ## Metrics - [Relative L2 Error](): Lower is better; unit: PERCENT. ## Recorded results | Method | Relative L2 Error | Result date | Report paper | | --- | --- | --- | --- | | eDAFNO | 1.094 | Not recorded | 68fa458d1e209131ce9196ed | | iDAFNO | 1.207 | Not recorded | 68fa458d1e209131ce9196ed | | FNO w/ smooth χ | 1.415 | Not recorded | 68fa458d1e209131ce9196ed | | IFNO w/ smooth χ | 1.509 | Not recorded | 68fa458d1e209131ce9196ed | | Geo-FNO | 2.316 | Not recorded | 68fa458d1e209131ce9196ed | | F-FNO | 3.193 | Not recorded | 68fa458d1e209131ce9196ed | | iDAFNO | 4.214 | Not recorded | 68fa458d1e209131ce9196ed | | eDAFNO | 4.247 | Not recorded | 68fa458d1e209131ce9196ed | | IFNO w/ mask | 4.481 | Not recorded | 68fa458d1e209131ce9196ed | | FNO w/ mask | 4.55 | Not recorded | 68fa458d1e209131ce9196ed | | IFNO w/ smooth χ | 5.088 | Not recorded | 68fa458d1e209131ce9196ed | | UNet | 5.462 | Not recorded | 68fa458d1e209131ce9196ed | | FNO w/ smooth χ | 5.479 | Not recorded | 68fa458d1e209131ce9196ed | | IFNO w/ mask | 7.7 | Not recorded | 68fa458d1e209131ce9196ed | | FNO w/ mask | 7.852 | Not recorded | 68fa458d1e209131ce9196ed | | Geo-FNO | 10.343 | Not recorded | 68fa458d1e209131ce9196ed | | DeepONet | 11.998 | Not recorded | 68fa458d1e209131ce9196ed | | F-FNO | 12.135 | Not recorded | 68fa458d1e209131ce9196ed | | GNO | 13.007 | Not recorded | 68fa458d1e209131ce9196ed | | eDAFNO | 16.446 | Not recorded | 68fa458d1e209131ce9196ed | | iDAFNO | 16.669 | Not recorded | 68fa458d1e209131ce9196ed | | IFNO w/ smooth χ | 17.145 | Not recorded | 68fa458d1e209131ce9196ed | | FNO w/ smooth χ | 17.431 | Not recorded | 68fa458d1e209131ce9196ed | | GNO | 18.574 | Not recorded | 68fa458d1e209131ce9196ed | | IFNO w/ mask | 19.262 | Not recorded | 68fa458d1e209131ce9196ed | | FNO w/ mask | 19.487 | Not recorded | 68fa458d1e209131ce9196ed | | DeepONet | 25.455 | Not recorded | 68fa458d1e209131ce9196ed | | Geo-FNO | 28.725 | Not recorded | 68fa458d1e209131ce9196ed | | GNO | 29.305 | Not recorded | 68fa458d1e209131ce9196ed | | UNet | 34.467 | Not recorded | 68fa458d1e209131ce9196ed | | DeepONet | 35.334 | Not recorded | 68fa458d1e209131ce9196ed | | F-FNO | 35.672 | Not recorded | 68fa458d1e209131ce9196ed | | UNet | 98.167 | Not recorded | 68fa458d1e209131ce9196ed | ### eDAFNO Relative L2 Error: 1.094. Result ID: 698b9af27a967eddb76ffcc3. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"# of training samples":1000}. This record does not assert independent reproduction. ### iDAFNO Relative L2 Error: 1.207. Result ID: 698b9af27a967eddb76ffcc6. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"# of training samples":1000}. This record does not assert independent reproduction. ### FNO w/ smooth χ Relative L2 Error: 1.415. Result ID: 698b9af27a967eddb76ffcde. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"# of training samples":1000}. This record does not assert independent reproduction. ### IFNO w/ smooth χ Relative L2 Error: 1.509. Result ID: 698b9af27a967eddb76ffce1. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"# of training samples":1000}. This record does not assert independent reproduction. ### Geo-FNO Relative L2 Error: 2.316. Result ID: 698b9af27a967eddb76ffccf. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":1000}. This record does not assert independent reproduction. ### F-FNO Relative L2 Error: 3.193. Result ID: 698b9af27a967eddb76ffcd8. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":1000}. This record does not assert independent reproduction. ### iDAFNO Relative L2 Error: 4.214. Result ID: 698b9af27a967eddb76ffcc5. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"# of training samples":100}. This record does not assert independent reproduction. ### eDAFNO Relative L2 Error: 4.247. Result ID: 698b9af27a967eddb76ffcc2. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"# of training samples":100}. This record does not assert independent reproduction. ### IFNO w/ mask Relative L2 Error: 4.481. Result ID: 698b9af27a967eddb76ffccc. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":1000}. This record does not assert independent reproduction. ### FNO w/ mask Relative L2 Error: 4.55. Result ID: 698b9af27a967eddb76ffcc9. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":1000}. This record does not assert independent reproduction. ### IFNO w/ smooth χ Relative L2 Error: 5.088. Result ID: 698b9af27a967eddb76ffce0. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"# of training samples":100}. This record does not assert independent reproduction. ### UNet Relative L2 Error: 5.462. Result ID: 698b9af27a967eddb76ffcdb. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":1000}. This record does not assert independent reproduction. ### FNO w/ smooth χ Relative L2 Error: 5.479. Result ID: 698b9af27a967eddb76ffcdd. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"# of training samples":100}. This record does not assert independent reproduction. ### IFNO w/ mask Relative L2 Error: 7.7. Result ID: 698b9af27a967eddb76ffccb. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":100}. This record does not assert independent reproduction. ### FNO w/ mask Relative L2 Error: 7.852. Result ID: 698b9af27a967eddb76ffcc8. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":100}. This record does not assert independent reproduction. ### Geo-FNO Relative L2 Error: 10.343. Result ID: 698b9af27a967eddb76ffcce. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":100}. This record does not assert independent reproduction. ### DeepONet Relative L2 Error: 11.998. Result ID: 698b9af27a967eddb76ffcd5. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":1000}. This record does not assert independent reproduction. ### F-FNO Relative L2 Error: 12.135. Result ID: 698b9af27a967eddb76ffcd7. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":100}. This record does not assert independent reproduction. ### GNO Relative L2 Error: 13.007. Result ID: 698b9af27a967eddb76ffcd2. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":1000}. This record does not assert independent reproduction. ### eDAFNO Relative L2 Error: 16.446. Result ID: 698b9af27a967eddb76ffcc1. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"# of training samples":10}. This record does not assert independent reproduction. ### iDAFNO Relative L2 Error: 16.669. Result ID: 698b9af27a967eddb76ffcc4. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"# of training samples":10}. This record does not assert independent reproduction. ### IFNO w/ smooth χ Relative L2 Error: 17.145. Result ID: 698b9af27a967eddb76ffcdf. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"# of training samples":10}. This record does not assert independent reproduction. ### FNO w/ smooth χ Relative L2 Error: 17.431. Result ID: 698b9af27a967eddb76ffcdc. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"# of training samples":10}. This record does not assert independent reproduction. ### GNO Relative L2 Error: 18.574. Result ID: 698b9af27a967eddb76ffcd1. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":100}. This record does not assert independent reproduction. ### IFNO w/ mask Relative L2 Error: 19.262. Result ID: 698b9af27a967eddb76ffcca. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":10}. This record does not assert independent reproduction. ### FNO w/ mask Relative L2 Error: 19.487. Result ID: 698b9af27a967eddb76ffcc7. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":10}. This record does not assert independent reproduction. ### DeepONet Relative L2 Error: 25.455. Result ID: 698b9af27a967eddb76ffcd4. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":100}. This record does not assert independent reproduction. ### Geo-FNO Relative L2 Error: 28.725. Result ID: 698b9af27a967eddb76ffccd. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":10}. This record does not assert independent reproduction. ### GNO Relative L2 Error: 29.305. Result ID: 698b9af27a967eddb76ffcd0. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":10}. This record does not assert independent reproduction. ### UNet Relative L2 Error: 34.467. Result ID: 698b9af27a967eddb76ffcda. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":100}. This record does not assert independent reproduction. ### DeepONet Relative L2 Error: 35.334. Result ID: 698b9af27a967eddb76ffcd3. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":10}. This record does not assert independent reproduction. ### F-FNO Relative L2 Error: 35.672. Result ID: 698b9af27a967eddb76ffcd6. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":10}. This record does not assert independent reproduction. ### UNet Relative L2 Error: 98.167. Result ID: 698b9af27a967eddb76ffcd9. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"# of training samples":10}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.