# LD-weighted PDF reconstruction on three-mode NLS Outside only distribution (test) Source: [LD-weighted PDF reconstruction on three-mode NLS Outside only distribution (test)]() Collection index: [llms.txt]() Data updated: 2026-04-02T09:35:02.642Z Evaluation of algorithms for reconstructing the Probability Density Function (PDF) using an LD-weighted approach on the test split of the three-mode NLS Outside only 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 Outside 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 | | --- | --- | --- | --- | | RC | 0.0000638 | Not recorded | 69cdf83d0636e5bf4afccc73 | | RC | 0.0000741 | Not recorded | 69cdf83d0636e5bf4afccc73 | | RC | 0.000113 | Not recorded | 69cdf83d0636e5bf4afccc73 | | RC | 0.000136 | Not recorded | 69cdf83d0636e5bf4afccc73 | | GHNN | 0.00226 | Not recorded | 69cdf83d0636e5bf4afccc73 | | SympNet | 0.00233 | Not recorded | 69cdf83d0636e5bf4afccc73 | | SympNet | 0.00238 | Not recorded | 69cdf83d0636e5bf4afccc73 | | GHNN | 0.00249 | Not recorded | 69cdf83d0636e5bf4afccc73 | | GHNN | 0.0025 | Not recorded | 69cdf83d0636e5bf4afccc73 | | GHNN | 0.00256 | Not recorded | 69cdf83d0636e5bf4afccc73 | | SympNet | 0.00295 | Not recorded | 69cdf83d0636e5bf4afccc73 | | HénonNet | 0.00385 | Not recorded | 69cdf83d0636e5bf4afccc73 | | HénonNet | 0.0039 | Not recorded | 69cdf83d0636e5bf4afccc73 | | HénonNet | 0.00416 | Not recorded | 69cdf83d0636e5bf4afccc73 | | SympNet | 0.00531 | Not recorded | 69cdf83d0636e5bf4afccc73 | | HénonNet | 0.0118 | Not recorded | 69cdf83d0636e5bf4afccc73 | ### RC KL Divergence: 0.0000638. Result ID: 69ce384247f34ce924b7be3b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"500"}. This record does not assert independent reproduction. ### RC KL Divergence: 0.0000741. Result ID: 69ce384247f34ce924b7be3a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"250"}. This record does not assert independent reproduction. ### RC KL Divergence: 0.000113. Result ID: 69ce384247f34ce924b7be39. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"125"}. This record does not assert independent reproduction. ### RC KL Divergence: 0.000136. Result ID: 69ce384247f34ce924b7be3c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"1000"}. This record does not assert independent reproduction. ### GHNN KL Divergence: 0.00226. Result ID: 69ce384247f34ce924b7be38. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"1000"}. This record does not assert independent reproduction. ### SympNet KL Divergence: 0.00233. Result ID: 69ce384247f34ce924b7be2f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"500"}. This record does not assert independent reproduction. ### SympNet KL Divergence: 0.00238. Result ID: 69ce384247f34ce924b7be30. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"1000"}. This record does not assert independent reproduction. ### GHNN KL Divergence: 0.00249. Result ID: 69ce384247f34ce924b7be37. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"500"}. This record does not assert independent reproduction. ### GHNN KL Divergence: 0.0025. Result ID: 69ce384247f34ce924b7be35. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"125"}. This record does not assert independent reproduction. ### GHNN KL Divergence: 0.00256. Result ID: 69ce384247f34ce924b7be36. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"250"}. This record does not assert independent reproduction. ### SympNet KL Divergence: 0.00295. Result ID: 69ce384247f34ce924b7be2e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training trajectories N":"250"}. This record does not assert independent reproduction. ### HénonNet KL Divergence: 0.00385. Result ID: 69ce384247f34ce924b7be31. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"125"}. This record does not assert independent reproduction. ### HénonNet KL Divergence: 0.0039. Result ID: 69ce384247f34ce924b7be33. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"500"}. This record does not assert independent reproduction. ### HénonNet KL Divergence: 0.00416. Result ID: 69ce384247f34ce924b7be32. [Reporting paper]() Recorded evaluation configuration: {"Number of training trajectories N":"250"}. This record does not assert independent reproduction. ### SympNet KL Divergence: 0.00531. Result ID: 69ce384247f34ce924b7be2d. [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: 69ce384247f34ce924b7be34. [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.