# Physical Systems Modeling on Poseidon NS-PwC (test) Source: [Physical Systems Modeling on Poseidon NS-PwC (test)]() Collection index: [llms.txt]() Data updated: 2026-05-19T11:58:00.060Z Evaluation of models performing Physical Systems Modeling on the test split of the Poseidon NS-PwC dataset, measured using Base Loss, Sobolev norm, Div-Free constraint, and Vorticity metrics. 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 | Physical Systems Modeling | | Dataset (including any stated split) | Poseidon NS-PwC (test) | | Metric | Base Loss | | Unit | SCALAR | | Direction | Lower is better | | Results loaded | 25 of 25 | | 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 - [Base Loss](): Lower is better; unit: SCALAR. - [Sobolev Norm](): Lower is better; unit: SCALAR. - [Div-Free Constraint Error](): Lower is better; unit: SCALAR. - [Vorticity Error](): Lower is better; unit: SCALAR. ## Recorded results | Method | Base Loss | Result date | Report paper | | --- | --- | --- | --- | | Origin | 0 | Not recorded | 6a0beecddbc836b87d82c6d2 | | SAFE-SVD | 0 | Not recorded | 6a0beecddbc836b87d82c6d2 | | SAFE-SVD | 0 | Not recorded | 6a0beecddbc836b87d82c6d2 | | SAFE-SVD | 0.26 | Not recorded | 6a0beecddbc836b87d82c6d2 | | SAFE-SVD | 2.64 | Not recorded | 6a0beecddbc836b87d82c6d2 | | ASVD | 2000 | Not recorded | 6a0beecddbc836b87d82c6d2 | | SAES-SVD | 2616 | Not recorded | 6a0beecddbc836b87d82c6d2 | | SAES-SVD | 2882 | Not recorded | 6a0beecddbc836b87d82c6d2 | | SAES-SVD | 3062 | Not recorded | 6a0beecddbc836b87d82c6d2 | | SAES-SVD | 3726 | Not recorded | 6a0beecddbc836b87d82c6d2 | | ASVD | 4496 | Not recorded | 6a0beecddbc836b87d82c6d2 | | ASVD | 5169 | Not recorded | 6a0beecddbc836b87d82c6d2 | | ASVD | 6725 | Not recorded | 6a0beecddbc836b87d82c6d2 | | SVD-LLM V2 | 6851 | Not recorded | 6a0beecddbc836b87d82c6d2 | | FWSVD | 6930 | Not recorded | 6a0beecddbc836b87d82c6d2 | | SVD-LLM V2 | 7038 | Not recorded | 6a0beecddbc836b87d82c6d2 | | FWSVD | 7124 | Not recorded | 6a0beecddbc836b87d82c6d2 | | Dobi-SVD | 7468 | Not recorded | 6a0beecddbc836b87d82c6d2 | | FWSVD | 7846 | Not recorded | 6a0beecddbc836b87d82c6d2 | | Dobi-SVD | 7961 | Not recorded | 6a0beecddbc836b87d82c6d2 | | Dobi-SVD | 8481 | Not recorded | 6a0beecddbc836b87d82c6d2 | | FWSVD | 8622 | Not recorded | 6a0beecddbc836b87d82c6d2 | | SVD-LLM V2 | 8741 | Not recorded | 6a0beecddbc836b87d82c6d2 | | Dobi-SVD | 8774 | Not recorded | 6a0beecddbc836b87d82c6d2 | | SVD-LLM V2 | 9529 | Not recorded | 6a0beecddbc836b87d82c6d2 | ### Origin Base Loss: 0. Result ID: 6a0c5044fbc373592c03915b. [Reporting paper]() Recorded evaluation configuration: {"Compression Ratio":"1","Size":"628.6M"}. This record does not assert independent reproduction. ### SAFE-SVD Base Loss: 0. Result ID: 6a0c5044fbc373592c039161. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.8","Size":"503.0M"}. This record does not assert independent reproduction. ### SAFE-SVD Base Loss: 0. Result ID: 6a0c5044fbc373592c039167. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.6","Size":"377.5M"}. This record does not assert independent reproduction. ### SAFE-SVD Base Loss: 0.26. Result ID: 6a0c5044fbc373592c03916d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.4","Size":"251.9M"}. This record does not assert independent reproduction. ### SAFE-SVD Base Loss: 2.64. Result ID: 6a0c5044fbc373592c039173. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.2","Size":"126.3M"}. This record does not assert independent reproduction. ### ASVD Base Loss: 2000. Result ID: 6a0c5044fbc373592c03915c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.8","Size":"502.9M"}. This record does not assert independent reproduction. ### SAES-SVD Base Loss: 2616. Result ID: 6a0c5044fbc373592c039160. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.8","Size":"502.7M"}. This record does not assert independent reproduction. ### SAES-SVD Base Loss: 2882. Result ID: 6a0c5044fbc373592c039166. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.6","Size":"377.1M"}. This record does not assert independent reproduction. ### SAES-SVD Base Loss: 3062. Result ID: 6a0c5044fbc373592c03916c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.4","Size":"251.5M"}. This record does not assert independent reproduction. ### SAES-SVD Base Loss: 3726. Result ID: 6a0c5044fbc373592c039172. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.2","Size":"125.9M"}. This record does not assert independent reproduction. ### ASVD Base Loss: 4496. Result ID: 6a0c5044fbc373592c039162. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.6","Size":"376.9M"}. This record does not assert independent reproduction. ### ASVD Base Loss: 5169. Result ID: 6a0c5044fbc373592c039168. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.4","Size":"251.4M"}. This record does not assert independent reproduction. ### ASVD Base Loss: 6725. Result ID: 6a0c5044fbc373592c03916e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.2","Size":"125.8M"}. This record does not assert independent reproduction. ### SVD-LLM V2 Base Loss: 6851. Result ID: 6a0c5044fbc373592c03915e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.8","Size":"524.2M"}. This record does not assert independent reproduction. ### FWSVD Base Loss: 6930. Result ID: 6a0c5044fbc373592c03915d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.8","Size":"502.7M"}. This record does not assert independent reproduction. ### SVD-LLM V2 Base Loss: 7038. Result ID: 6a0c5044fbc373592c039164. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.6","Size":"438.3M"}. This record does not assert independent reproduction. ### FWSVD Base Loss: 7124. Result ID: 6a0c5044fbc373592c039163. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.6","Size":"377.1M"}. This record does not assert independent reproduction. ### Dobi-SVD Base Loss: 7468. Result ID: 6a0c5044fbc373592c039165. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.6","Size":"378.1M"}. This record does not assert independent reproduction. ### FWSVD Base Loss: 7846. Result ID: 6a0c5044fbc373592c039169. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.4","Size":"251.5M"}. This record does not assert independent reproduction. ### Dobi-SVD Base Loss: 7961. Result ID: 6a0c5044fbc373592c03915f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.8","Size":"503.7M"}. This record does not assert independent reproduction. ### Dobi-SVD Base Loss: 8481. Result ID: 6a0c5044fbc373592c03916b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.4","Size":"252.6M"}. This record does not assert independent reproduction. ### FWSVD Base Loss: 8622. Result ID: 6a0c5044fbc373592c03916f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.2","Size":"125.9M"}. This record does not assert independent reproduction. ### SVD-LLM V2 Base Loss: 8741. Result ID: 6a0c5044fbc373592c03916a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.4","Size":"374.9M"}. This record does not assert independent reproduction. ### Dobi-SVD Base Loss: 8774. Result ID: 6a0c5044fbc373592c039171. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.2","Size":"127.0M"}. This record does not assert independent reproduction. ### SVD-LLM V2 Base Loss: 9529. Result ID: 6a0c5044fbc373592c039170. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Compression Ratio":"0.2","Size":"353.2M"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.