# LD-weighted PDF reconstruction on three-mode NLS Uniform distribution (test) Source: [LD-weighted PDF reconstruction on three-mode NLS Uniform distribution (test)]() Collection index: [llms.txt]() Data updated: 2026-04-02T09:35:02.568Z Evaluation of algorithms for reconstructing the Probability Density Function (PDF) using an LD-weighted approach on the test split of the three-mode NLS Uniform distribution dataset, measured using 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 Uniform 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 | | --- | --- | --- | --- | | RC | 0.0000104 | Not recorded | 69cdf83d0636e5bf4afccc73 | | RC | 0.0000811 | Not recorded | 69cdf83d0636e5bf4afccc73 | | RC | 0.000172 | Not recorded | 69cdf83d0636e5bf4afccc73 | | RC | 0.00036 | Not recorded | 69cdf83d0636e5bf4afccc73 | | GHNN | 0.00186 | Not recorded | 69cdf83d0636e5bf4afccc73 | | GHNN | 0.00187 | Not recorded | 69cdf83d0636e5bf4afccc73 | | SympNet | 0.00214 | Not recorded | 69cdf83d0636e5bf4afccc73 | | SympNet | 0.00236 | Not recorded | 69cdf83d0636e5bf4afccc73 | | SympNet | 0.00281 | Not recorded | 69cdf83d0636e5bf4afccc73 | | SympNet | 0.00339 | Not recorded | 69cdf83d0636e5bf4afccc73 | | GHNN | 0.00347 | Not recorded | 69cdf83d0636e5bf4afccc73 | | HénonNet | 0.00359 | Not recorded | 69cdf83d0636e5bf4afccc73 | | HénonNet | 0.0036 | Not recorded | 69cdf83d0636e5bf4afccc73 | | HénonNet | 0.00373 | Not recorded | 69cdf83d0636e5bf4afccc73 | | GHNN | 0.0039 | Not recorded | 69cdf83d0636e5bf4afccc73 | | HénonNet | 0.0118 | Not recorded | 69cdf83d0636e5bf4afccc73 | ### RC KL Divergence: 0.0000104. Result ID: 69ce384247f34ce924b7be1b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"500"}. This record does not assert independent reproduction. ### RC KL Divergence: 0.0000811. Result ID: 69ce384247f34ce924b7be1a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"250"}. This record does not assert independent reproduction. ### RC KL Divergence: 0.000172. Result ID: 69ce384247f34ce924b7be19. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"125"}. This record does not assert independent reproduction. ### RC KL Divergence: 0.00036. Result ID: 69ce384247f34ce924b7be1c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"1000"}. This record does not assert independent reproduction. ### GHNN KL Divergence: 0.00186. Result ID: 69ce384247f34ce924b7be18. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"1000"}. This record does not assert independent reproduction. ### GHNN KL Divergence: 0.00187. Result ID: 69ce384247f34ce924b7be16. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"250"}. This record does not assert independent reproduction. ### SympNet KL Divergence: 0.00214. Result ID: 69ce384247f34ce924b7be0d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"125"}. This record does not assert independent reproduction. ### SympNet KL Divergence: 0.00236. Result ID: 69ce384247f34ce924b7be0f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"500"}. This record does not assert independent reproduction. ### SympNet KL Divergence: 0.00281. Result ID: 69ce384247f34ce924b7be0e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"250"}. This record does not assert independent reproduction. ### SympNet KL Divergence: 0.00339. Result ID: 69ce384247f34ce924b7be10. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"1000"}. This record does not assert independent reproduction. ### GHNN KL Divergence: 0.00347. Result ID: 69ce384247f34ce924b7be17. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"500"}. This record does not assert independent reproduction. ### HénonNet KL Divergence: 0.00359. Result ID: 69ce384247f34ce924b7be11. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"125"}. This record does not assert independent reproduction. ### HénonNet KL Divergence: 0.0036. Result ID: 69ce384247f34ce924b7be12. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"250"}. This record does not assert independent reproduction. ### HénonNet KL Divergence: 0.00373. Result ID: 69ce384247f34ce924b7be13. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"500"}. This record does not assert independent reproduction. ### GHNN KL Divergence: 0.0039. Result ID: 69ce384247f34ce924b7be15. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"125"}. This record does not assert independent reproduction. ### HénonNet KL Divergence: 0.0118. Result ID: 69ce384247f34ce924b7be14. [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.