# Linear Heat Dynamics Prediction on Tent Graphon

Source: [Linear Heat Dynamics Prediction on Tent Graphon](<https://www.sota2.com/research/sota/linear-heat-dynamics-prediction-on-tent-graphon>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-06-26T06:42:45.501Z

Evaluation of models predicting linear heat dynamics using the Tent 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) | Tent Graphon |
| Metric | Transfer Error |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 18 of 18 |
| 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](<https://www.sota2.com/research/sota/linear-heat-dynamics-prediction-on-tent-graphon.md?metric=Transfer%20Error>): 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 | 0.006 | Not recorded | 6a3e07bc206542251d7cb636 |
| GNDEs | 0.018 | Not recorded | 6a3e07bc206542251d7cb636 |
| GNDEs | 0.018 | Not recorded | 6a3e07bc206542251d7cb636 |
| GNDEs | 0.018 | Not recorded | 6a3e07bc206542251d7cb636 |
| GNDEs | 0.019 | Not recorded | 6a3e07bc206542251d7cb636 |
| GNDEs | 0.019 | Not recorded | 6a3e07bc206542251d7cb636 |
| GNDEs | 0.02 | Not recorded | 6a3e07bc206542251d7cb636 |
| GNDEs | 0.021 | Not recorded | 6a3e07bc206542251d7cb636 |
| GNDEs | 0.022 | Not recorded | 6a3e07bc206542251d7cb636 |
| GNDEs | 0.023 | Not recorded | 6a3e07bc206542251d7cb636 |

### GNDEs

Transfer Error: 0.003. Result ID: 6a3e1f52fbc373592c5eaecd.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 6a3e1f52fbc373592c5eaecf.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 6a3e1f52fbc373592c5eaed1.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 6a3e1f52fbc373592c5eaed3.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 6a3e1f52fbc373592c5eaecc.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 6a3e1f52fbc373592c5eaed2.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 6a3e1f52fbc373592c5eaed4.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 6a3e1f52fbc373592c5eaed0.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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.

### GNDEs

Transfer Error: 0.006. Result ID: 6a3e1f52fbc373592c5eaece.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 0.018. Result ID: 6a3e1f53fbc373592c5eaef3.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 0.018. Result ID: 6a3e1f53fbc373592c5eaef5.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 0.018. Result ID: 6a3e1f53fbc373592c5eaef7.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 0.019. Result ID: 6a3e1f53fbc373592c5eaef1.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 0.019. Result ID: 6a3e1f53fbc373592c5eaef8.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 0.02. Result ID: 6a3e1f53fbc373592c5eaef6.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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: 0.021. Result ID: 6a3e1f53fbc373592c5eaef4.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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.

### GNDEs

Transfer Error: 0.022. Result ID: 6a3e1f53fbc373592c5eaef0.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

Recorded evaluation configuration: {"Target graph size (n)":"16","Source graph size (n\_src)":"16"}. This record does not assert independent reproduction.

### GNDEs

Transfer Error: 0.023. Result ID: 6a3e1f53fbc373592c5eaef2.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07bc206542251d7cb636.md>)

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.

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