# Approximating Finsler heat flow on Finsler Heat Flow (test) Source: [Approximating Finsler heat flow on Finsler Heat Flow (test)]() Collection index: [llms.txt]() Data updated: 2026-06-17T06:31:07.934Z Evaluation of models approximating the Finsler heat flow equation on the test set, measured using Mean Squared Error (MSE). 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 | Approximating Finsler heat flow | | Dataset (including any stated split) | Finsler Heat Flow (test) | | Metric | MSE | | Unit | SCALAR | | Direction | Lower is better | | Results loaded | 4 of 4 | | 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 - [MSE](): Lower is better; unit: SCALAR. ## Recorded results | Method | MSE | Result date | Report paper | | --- | --- | --- | --- | | ReLU FGNN | 1.1 | Not recorded | 6a322a26d33dfb23e783eb52 | | Linear FGNN | 1.4 | Not recorded | 6a322a26d33dfb23e783eb52 | | ReLU GNN | 1.5 | Not recorded | 6a322a26d33dfb23e783eb52 | | Linear GNN | 1.8 | Not recorded | 6a322a26d33dfb23e783eb52 | ### ReLU FGNN MSE: 1.1. Result ID: 6a323ea7fbc373592c2f0907. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Activation Function":"ReLU","Model Architecture":"FGNN"}. This record does not assert independent reproduction. ### Linear FGNN MSE: 1.4. Result ID: 6a323ea7fbc373592c2f0908. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Activation Function":"Linear","Model Architecture":"FGNN"}. This record does not assert independent reproduction. ### ReLU GNN MSE: 1.5. Result ID: 6a323ea7fbc373592c2f0909. [Reporting paper]() Recorded evaluation configuration: {"Activation Function":"ReLU","Model Architecture":"GNN"}. This record does not assert independent reproduction. ### Linear GNN MSE: 1.8. Result ID: 6a323ea7fbc373592c2f090a. [Reporting paper]() Recorded evaluation configuration: {"Activation Function":"Linear","Model Architecture":"GNN"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.