# LD-weighted PDF reconstruction on three-mode NLS Inside only distribution (test) Source: [LD-weighted PDF reconstruction on three-mode NLS Inside only distribution (test)]() Collection index: [llms.txt]() Data updated: 2026-04-02T09:35:02.608Z Evaluation of model performance on reconstructing the probability density function (PDF) for the three-mode NLS Inside only distribution (test set) using LD-weighting, measured by KL divergence. 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 | LD-weighted PDF reconstruction | | Dataset (including any stated split) | three-mode NLS Inside only distribution (test) | | Metric | KL Divergence | | Unit | SCALAR | | Direction | Lower is better | | Results loaded | 16 of 16 | | 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 - [KL Divergence](): Lower is better; unit: SCALAR. ## Recorded results | Method | KL Divergence | Result date | Report paper | | --- | --- | --- | --- | | SympNet | 0.00335 | Not recorded | 69cdf83d0636e5bf4afccc73 | | GHNN | 0.0034 | Not recorded | 69cdf83d0636e5bf4afccc73 | | RC | 0.00356 | Not recorded | 69cdf83d0636e5bf4afccc73 | | HénonNet | 0.00393 | Not recorded | 69cdf83d0636e5bf4afccc73 | | GHNN | 0.0042 | Not recorded | 69cdf83d0636e5bf4afccc73 | | SympNet | 0.00445 | Not recorded | 69cdf83d0636e5bf4afccc73 | | GHNN | 0.00458 | Not recorded | 69cdf83d0636e5bf4afccc73 | | HénonNet | 0.00461 | Not recorded | 69cdf83d0636e5bf4afccc73 | | SympNet | 0.00476 | Not recorded | 69cdf83d0636e5bf4afccc73 | | RC | 0.00476 | Not recorded | 69cdf83d0636e5bf4afccc73 | | SympNet | 0.00507 | Not recorded | 69cdf83d0636e5bf4afccc73 | | GHNN | 0.00521 | Not recorded | 69cdf83d0636e5bf4afccc73 | | HénonNet | 0.00619 | Not recorded | 69cdf83d0636e5bf4afccc73 | | RC | 0.00656 | Not recorded | 69cdf83d0636e5bf4afccc73 | | RC | 0.00889 | Not recorded | 69cdf83d0636e5bf4afccc73 | | HénonNet | 0.0118 | Not recorded | 69cdf83d0636e5bf4afccc73 | ### SympNet KL Divergence: 0.00335. Result ID: 69ce384247f34ce924b7be1d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"125"}. This record does not assert independent reproduction. ### GHNN KL Divergence: 0.0034. Result ID: 69ce384247f34ce924b7be25. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"125"}. This record does not assert independent reproduction. ### RC KL Divergence: 0.00356. Result ID: 69ce384247f34ce924b7be2a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"250"}. This record does not assert independent reproduction. ### HénonNet KL Divergence: 0.00393. Result ID: 69ce384247f34ce924b7be21. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"125"}. This record does not assert independent reproduction. ### GHNN KL Divergence: 0.0042. Result ID: 69ce384247f34ce924b7be26. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"250"}. This record does not assert independent reproduction. ### SympNet KL Divergence: 0.00445. Result ID: 69ce384247f34ce924b7be1f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"500"}. This record does not assert independent reproduction. ### GHNN KL Divergence: 0.00458. Result ID: 69ce384247f34ce924b7be27. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"500"}. This record does not assert independent reproduction. ### HénonNet KL Divergence: 0.00461. Result ID: 69ce384247f34ce924b7be23. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"500"}. This record does not assert independent reproduction. ### SympNet KL Divergence: 0.00476. Result ID: 69ce384247f34ce924b7be20. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"1000"}. This record does not assert independent reproduction. ### RC KL Divergence: 0.00476. Result ID: 69ce384247f34ce924b7be2b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"500"}. This record does not assert independent reproduction. ### SympNet KL Divergence: 0.00507. Result ID: 69ce384247f34ce924b7be1e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"250"}. This record does not assert independent reproduction. ### GHNN KL Divergence: 0.00521. Result ID: 69ce384247f34ce924b7be28. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"1000"}. This record does not assert independent reproduction. ### HénonNet KL Divergence: 0.00619. Result ID: 69ce384247f34ce924b7be22. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"250"}. This record does not assert independent reproduction. ### RC KL Divergence: 0.00656. Result ID: 69ce384247f34ce924b7be2c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"1000"}. This record does not assert independent reproduction. ### RC KL Divergence: 0.00889. Result ID: 69ce384247f34ce924b7be29. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"125"}. This record does not assert independent reproduction. ### HénonNet KL Divergence: 0.0118. Result ID: 69ce384247f34ce924b7be24. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"1000"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.