# Spatiotemporal Field Reconstruction on Navier-Stokes (Full) Source: [Spatiotemporal Field Reconstruction on Navier-Stokes (Full)]() Collection index: [llms.txt]() Data updated: 2026-03-06T07:29:38.602Z Evaluation of model performance on reconstructing spatiotemporal fields using the full Navier-Stokes dataset, measured using Continuous Ranked Probability Score (CRPS). 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 | Spatiotemporal Field Reconstruction | | Dataset (including any stated split) | Navier-Stokes (Full) | | Metric | CRPS | | Unit | SCALAR | | Direction | Lower is better | | Results loaded | 30 of 30 | | 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 - [CRPS](): Lower is better; unit: SCALAR. ## Recorded results | Method | CRPS | Result date | Report paper | | --- | --- | --- | --- | | SOLID | 0.0968 | Not recorded | 69aa5f7c2d603e6de3e4185e | | ∞-Diff | 0.2106 | Not recorded | 69aa5f7c2d603e6de3e4185e | | SOLID | 0.384 | Not recorded | 69aa5f7c2d603e6de3e4185e | | FFNO | 0.4545 | Not recorded | 69aa5f7c2d603e6de3e4185e | | UNet | 0.4673 | Not recorded | 69aa5f7c2d603e6de3e4185e | | OmniField | 0.4765 | Not recorded | 69aa5f7c2d603e6de3e4185e | | SCENT | 0.5568 | Not recorded | 69aa5f7c2d603e6de3e4185e | | OFormer | 0.5645 | Not recorded | 69aa5f7c2d603e6de3e4185e | | ∞-Diff | 0.7276 | Not recorded | 69aa5f7c2d603e6de3e4185e | | DDO | 0.8108 | Not recorded | 69aa5f7c2d603e6de3e4185e | | SCENT | 0.849 | Not recorded | 69aa5f7c2d603e6de3e4185e | | DDO | 0.9924 | Not recorded | 69aa5f7c2d603e6de3e4185e | | UNet | 0.9981 | Not recorded | 69aa5f7c2d603e6de3e4185e | | OFormer | 1.0358 | Not recorded | 69aa5f7c2d603e6de3e4185e | | FFNO | 1.0993 | Not recorded | 69aa5f7c2d603e6de3e4185e | | DDO | 1.1016 | Not recorded | 69aa5f7c2d603e6de3e4185e | | OmniField | 1.1019 | Not recorded | 69aa5f7c2d603e6de3e4185e | | SOLID | 1.2141 | Not recorded | 69aa5f7c2d603e6de3e4185e | | ∞-Diff | 1.4419 | Not recorded | 69aa5f7c2d603e6de3e4185e | | UNet | 1.6256 | Not recorded | 69aa5f7c2d603e6de3e4185e | | SCENT | 1.6638 | Not recorded | 69aa5f7c2d603e6de3e4185e | | FFNO | 1.6863 | Not recorded | 69aa5f7c2d603e6de3e4185e | | OFormer | 1.6873 | Not recorded | 69aa5f7c2d603e6de3e4185e | | OmniField | 1.6982 | Not recorded | 69aa5f7c2d603e6de3e4185e | | INR-GAN | 2.0803 | Not recorded | 69aa5f7c2d603e6de3e4185e | | StyleGAN3 | 2.176 | Not recorded | 69aa5f7c2d603e6de3e4185e | | StyleGAN3 | 2.3733 | Not recorded | 69aa5f7c2d603e6de3e4185e | | INR-GAN | 2.4317 | Not recorded | 69aa5f7c2d603e6de3e4185e | | INR-GAN | 2.5673 | Not recorded | 69aa5f7c2d603e6de3e4185e | | StyleGAN3 | 2.6558 | Not recorded | 69aa5f7c2d603e6de3e4185e | ### SOLID CRPS: 0.0968. Result ID: 69aa82616dbb7075b953e873. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction. ### ∞-Diff CRPS: 0.2106. Result ID: 69aa82616dbb7075b953e87f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction. ### SOLID CRPS: 0.384. Result ID: 69aa82616dbb7075b953e872. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction. ### FFNO CRPS: 0.4545. Result ID: 69aa82616dbb7075b953e86a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction. ### UNet CRPS: 0.4673. Result ID: 69aa82616dbb7075b953e870. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction. ### OmniField CRPS: 0.4765. Result ID: 69aa82616dbb7075b953e867. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction. ### SCENT CRPS: 0.5568. Result ID: 69aa82616dbb7075b953e864. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction. ### OFormer CRPS: 0.5645. Result ID: 69aa82616dbb7075b953e86d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction. ### ∞-Diff CRPS: 0.7276. Result ID: 69aa82616dbb7075b953e87e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction. ### DDO CRPS: 0.8108. Result ID: 69aa82616dbb7075b953e87c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction. ### SCENT CRPS: 0.849. Result ID: 69aa82616dbb7075b953e863. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction. ### DDO CRPS: 0.9924. Result ID: 69aa82616dbb7075b953e87b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction. ### UNet CRPS: 0.9981. Result ID: 69aa82616dbb7075b953e86f. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction. ### OFormer CRPS: 1.0358. Result ID: 69aa82616dbb7075b953e86c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction. ### FFNO CRPS: 1.0993. Result ID: 69aa82616dbb7075b953e869. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction. ### DDO CRPS: 1.1016. Result ID: 69aa82616dbb7075b953e87a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction. ### OmniField CRPS: 1.1019. Result ID: 69aa82616dbb7075b953e866. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction. ### SOLID CRPS: 1.2141. Result ID: 69aa82616dbb7075b953e871. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction. ### ∞-Diff CRPS: 1.4419. Result ID: 69aa82616dbb7075b953e87d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction. ### UNet CRPS: 1.6256. Result ID: 69aa82616dbb7075b953e86e. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction. ### SCENT CRPS: 1.6638. Result ID: 69aa82616dbb7075b953e862. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction. ### FFNO CRPS: 1.6863. Result ID: 69aa82616dbb7075b953e868. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction. ### OFormer CRPS: 1.6873. Result ID: 69aa82616dbb7075b953e86b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction. ### OmniField CRPS: 1.6982. Result ID: 69aa82616dbb7075b953e865. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction. ### INR-GAN CRPS: 2.0803. Result ID: 69aa82616dbb7075b953e879. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction. ### StyleGAN3 CRPS: 2.176. Result ID: 69aa82616dbb7075b953e876. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"40%"}. This record does not assert independent reproduction. ### StyleGAN3 CRPS: 2.3733. Result ID: 69aa82616dbb7075b953e875. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction. ### INR-GAN CRPS: 2.4317. Result ID: 69aa82616dbb7075b953e878. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"10%"}. This record does not assert independent reproduction. ### INR-GAN CRPS: 2.5673. Result ID: 69aa82616dbb7075b953e877. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction. ### StyleGAN3 CRPS: 2.6558. Result ID: 69aa82616dbb7075b953e874. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Sparsity":"4%"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.