# Linear Heat Dynamics Prediction on Circular Graphon Source: [Linear Heat Dynamics Prediction on Circular Graphon]() Collection index: [llms.txt]() Data updated: 2026-06-26T06:42:45.581Z Evaluation of models predicting linear heat dynamics using the Circular Graphon dataset, measured by Transfer Error. 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 | Linear Heat Dynamics Prediction | | Dataset (including any stated split) | Circular Graphon | | Metric | Transfer Error | | Unit | SCALAR | | Direction | Lower is better | | Results loaded | 9 of 9 | | 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 - [Transfer Error](): Lower is better; unit: SCALAR. ## Recorded results | Method | Transfer Error | Result date | Report paper | | --- | --- | --- | --- | | GNDEs | 0.003 | Not recorded | 6a3e07bc206542251d7cb636 | | GNDEs | 0.003 | Not recorded | 6a3e07bc206542251d7cb636 | | GNDEs | 0.003 | Not recorded | 6a3e07bc206542251d7cb636 | | GNDEs | 0.003 | Not recorded | 6a3e07bc206542251d7cb636 | | GNDEs | 0.004 | Not recorded | 6a3e07bc206542251d7cb636 | | GNDEs | 0.004 | Not recorded | 6a3e07bc206542251d7cb636 | | GNDEs | 0.004 | Not recorded | 6a3e07bc206542251d7cb636 | | GNDEs | 0.005 | Not recorded | 6a3e07bc206542251d7cb636 | | GNDEs | 0.005 | Not recorded | 6a3e07bc206542251d7cb636 | ### GNDEs Transfer Error: 0.003. Result ID: 6a3e1f52fbc373592c5eaedf. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Target graph size (n)":"128","Sparsity regime (alpha)":"1","Source graph size (n\_src)":"16"}. This record does not assert independent reproduction. ### GNDEs Transfer Error: 0.003. Result ID: 6a3e1f52fbc373592c5eaee1. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Target graph size (n)":"256","Sparsity regime (alpha)":"1","Source graph size (n\_src)":"16"}. This record does not assert independent reproduction. ### GNDEs Transfer Error: 0.003. Result ID: 6a3e1f52fbc373592c5eaee3. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Target graph size (n)":"512","Sparsity regime (alpha)":"1","Source graph size (n\_src)":"16"}. This record does not assert independent reproduction. ### GNDEs Transfer Error: 0.003. Result ID: 6a3e1f52fbc373592c5eaee5. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Target graph size (n)":"1024","Sparsity regime (alpha)":"1","Source graph size (n\_src)":"16"}. This record does not assert independent reproduction. ### GNDEs Transfer Error: 0.004. Result ID: 6a3e1f52fbc373592c5eaede. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Target graph size (n)":"16","Source graph size (n\_src)":"16"}. This record does not assert independent reproduction. ### GNDEs Transfer Error: 0.004. Result ID: 6a3e1f52fbc373592c5eaee4. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Target graph size (n)":"512","Sparsity regime (alpha)":"n^-1/2","Source graph size (n\_src)":"16"}. This record does not assert independent reproduction. ### GNDEs Transfer Error: 0.004. Result ID: 6a3e1f52fbc373592c5eaee6. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Target graph size (n)":"1024","Sparsity regime (alpha)":"n^-1/2","Source graph size (n\_src)":"16"}. This record does not assert independent reproduction. ### GNDEs Transfer Error: 0.005. Result ID: 6a3e1f52fbc373592c5eaee0. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Target graph size (n)":"128","Sparsity regime (alpha)":"n^-1/2","Source graph size (n\_src)":"16"}. This record does not assert independent reproduction. ### GNDEs Transfer Error: 0.005. Result ID: 6a3e1f52fbc373592c5eaee2. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Target graph size (n)":"256","Sparsity regime (alpha)":"n^-1/2","Source graph size (n\_src)":"16"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.