# Molecular Property Prediction on QM9 (out-of-sample test)

Source: [Molecular Property Prediction on QM9 (out-of-sample test)](<https://www.sota2.com/research/sota/molecular-property-prediction-on-qm9-out-of-sample-test>)

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

Data updated: 2026-02-26T05:49:32.146Z

Evaluation of models on predicting multiple molecular properties (including mu, alpha, HOMO, LUMO, etc.) using the out-of-sample test split of the QM9 dataset, measured using MAE for individual properties and NMMAE.

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 | Molecular Property Prediction |
| Dataset (including any stated split) | QM9 out-of-sample (test) |
| Metric | MAE (mu) |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 31 of 31 |
| 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

- [MAE (mu)](<https://www.sota2.com/research/sota/molecular-property-prediction-on-qm9-out-of-sample-test.md?metric=MAE%20(mu)>): Lower is better; unit: SCALAR.

- [MAE (alpha)](<https://www.sota2.com/research/sota/molecular-property-prediction-on-qm9-out-of-sample-test.md?metric=MAE%20(alpha)>): Lower is better; unit: SCALAR.

- [MAE (HOMO)](<https://www.sota2.com/research/sota/molecular-property-prediction-on-qm9-out-of-sample-test.md?metric=MAE%20(HOMO)>): Lower is better; unit: SCALAR.

- [MAE (LUMO)](<https://www.sota2.com/research/sota/molecular-property-prediction-on-qm9-out-of-sample-test.md?metric=MAE%20(LUMO)>): Lower is better; unit: SCALAR.

- [MAE (Delta epsilon)](<https://www.sota2.com/research/sota/molecular-property-prediction-on-qm9-out-of-sample-test.md?metric=MAE%20(Delta%20epsilon)>): Lower is better; unit: SCALAR.

- [MAE (R2)](<https://www.sota2.com/research/sota/molecular-property-prediction-on-qm9-out-of-sample-test.md?metric=MAE%20(R2)>): Lower is better; unit: SCALAR.

- [MAE (ZPVE)](<https://www.sota2.com/research/sota/molecular-property-prediction-on-qm9-out-of-sample-test.md?metric=MAE%20(ZPVE)>): Lower is better; unit: SCALAR.

- [MAE (U0)](<https://www.sota2.com/research/sota/molecular-property-prediction-on-qm9-out-of-sample-test.md?metric=MAE%20(U0)>): Lower is better; unit: SCALAR.

- [MAE (Cv)](<https://www.sota2.com/research/sota/molecular-property-prediction-on-qm9-out-of-sample-test.md?metric=MAE%20(Cv)>): Lower is better; unit: SCALAR.

- [MAE (omega1)](<https://www.sota2.com/research/sota/molecular-property-prediction-on-qm9-out-of-sample-test.md?metric=MAE%20(omega1)>): Lower is better; unit: SCALAR.

- [NMMAE](<https://www.sota2.com/research/sota/molecular-property-prediction-on-qm9-out-of-sample-test.md?metric=NMMAE>): Lower is better; unit: SCALAR.

## Recorded results

| Method | MAE (mu) | Result date | Report paper |
| --- | --- | --- | --- |
| DFT (B3LYP) | 0.1 | Not recorded | 68fa3c401e209131ce8d9263 |
| MG | 0.101 | Not recorded | 68fa3c401e209131ce8d9263 |
| MG | 0.247 | Not recorded | 68fa3c401e209131ce8d9263 |
| HDAD | 0.334 | Not recorded | 68fa3c401e209131ce8d9263 |
| HD | 0.364 | Not recorded | 68fa3c401e209131ce8d9263 |
| BOB | 0.423 | Not recorded | 68fa3c401e209131ce8d9263 |
| BAML | 0.434 | Not recorded | 68fa3c401e209131ce8d9263 |
| CM | 0.449 | Not recorded | 68fa3c401e209131ce8d9263 |
| BOB | 0.45 | Not recorded | 68fa3c401e209131ce8d9263 |
| HDAD | 0.454 | Not recorded | 68fa3c401e209131ce8d9263 |
| HD | 0.457 | Not recorded | 68fa3c401e209131ce8d9263 |
| BAML | 0.46 | Not recorded | 68fa3c401e209131ce8d9263 |
| MARAD | 0.468 | Not recorded | 68fa3c401e209131ce8d9263 |
| ECFP4 | 0.483 | Not recorded | 68fa3c401e209131ce8d9263 |
| ECFP4 | 0.49 | Not recorded | 68fa3c401e209131ce8d9263 |
| HDAD | 0.563 | Not recorded | 68fa3c401e209131ce8d9263 |
| HDAD | 0.565 | Not recorded | 68fa3c401e209131ce8d9263 |
| MARAD | 0.607 | Not recorded | 68fa3c401e209131ce8d9263 |
| CM | 0.608 | Not recorded | 68fa3c401e209131ce8d9263 |
| MARAD | 0.647 | Not recorded | 68fa3c401e209131ce8d9263 |
| BAML | 0.685 | Not recorded | 68fa3c401e209131ce8d9263 |
| BAML | 0.686 | Not recorded | 68fa3c401e209131ce8d9263 |
| HD | 0.705 | Not recorded | 68fa3c401e209131ce8d9263 |
| HD | 0.705 | Not recorded | 68fa3c401e209131ce8d9263 |
| MARAD | 0.707 | Not recorded | 68fa3c401e209131ce8d9263 |
| ECFP4 | 0.737 | Not recorded | 68fa3c401e209131ce8d9263 |
| ECFP4 | 0.737 | Not recorded | 68fa3c401e209131ce8d9263 |
| BOB | 0.761 | Not recorded | 68fa3c401e209131ce8d9263 |
| BOB | 0.763 | Not recorded | 68fa3c401e209131ce8d9263 |
| CM | 0.844 | Not recorded | 68fa3c401e209131ce8d9263 |
| CM | 0.844 | Not recorded | 68fa3c401e209131ce8d9263 |

### DFT (B3LYP)

MAE (mu): 0.1. Result ID: 698b97fc7a967eddb76fdef4.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### MG

MAE (mu): 0.101. Result ID: 698b97fc7a967eddb76fdef3.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa62ba1e209131ce9fae82.md>)

Recorded evaluation configuration: {"Regressor":"GC"}. This record does not assert independent reproduction.

### MG

MAE (mu): 0.247. Result ID: 698b97fc7a967eddb76fdef2.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa62ba1e209131ce9fae82.md>)

Recorded evaluation configuration: {"Regressor":"GG"}. This record does not assert independent reproduction.

### HDAD

MAE (mu): 0.334. Result ID: 698b97fc7a967eddb76fdeef.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"KRR"}. This record does not assert independent reproduction.

### HD

MAE (mu): 0.364. Result ID: 698b97fc7a967eddb76fdef0.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"KRR"}. This record does not assert independent reproduction.

### BOB

MAE (mu): 0.423. Result ID: 698b97fc7a967eddb76fdeec.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"KRR"}. This record does not assert independent reproduction.

### BAML

MAE (mu): 0.434. Result ID: 698b97fc7a967eddb76fdee6.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"RF"}. This record does not assert independent reproduction.

### CM

MAE (mu): 0.449. Result ID: 698b97fc7a967eddb76fdeeb.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa2ff21e209131ce870aa9.md>)

Recorded evaluation configuration: {"Regressor":"KRR"}. This record does not assert independent reproduction.

### BOB

MAE (mu): 0.45. Result ID: 698b97fc7a967eddb76fdee5.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"RF"}. This record does not assert independent reproduction.

### HDAD

MAE (mu): 0.454. Result ID: 698b97fc7a967eddb76fdee8.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"RF"}. This record does not assert independent reproduction.

### HD

MAE (mu): 0.457. Result ID: 698b97fc7a967eddb76fdee9.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"RF"}. This record does not assert independent reproduction.

### BAML

MAE (mu): 0.46. Result ID: 698b97fc7a967eddb76fdeed.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"KRR"}. This record does not assert independent reproduction.

### MARAD

MAE (mu): 0.468. Result ID: 698b97fc7a967eddb76fdef1.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"KRR"}. This record does not assert independent reproduction.

### ECFP4

MAE (mu): 0.483. Result ID: 698b97fc7a967eddb76fdee7.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"RF"}. This record does not assert independent reproduction.

### ECFP4

MAE (mu): 0.49. Result ID: 698b97fc7a967eddb76fdeee.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"KRR"}. This record does not assert independent reproduction.

### HDAD

MAE (mu): 0.563. Result ID: 698b97fc7a967eddb76fdeda.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"EN"}. This record does not assert independent reproduction.

### HDAD

MAE (mu): 0.565. Result ID: 698b97fc7a967eddb76fdee1.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"BR"}. This record does not assert independent reproduction.

### MARAD

MAE (mu): 0.607. Result ID: 698b97fc7a967eddb76fdeea.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"RF"}. This record does not assert independent reproduction.

### CM

MAE (mu): 0.608. Result ID: 698b97fc7a967eddb76fdee4.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa2ff21e209131ce870aa9.md>)

Recorded evaluation configuration: {"Regressor":"RF"}. This record does not assert independent reproduction.

### MARAD

MAE (mu): 0.647. Result ID: 698b97fc7a967eddb76fdee3.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"BR"}. This record does not assert independent reproduction.

### BAML

MAE (mu): 0.685. Result ID: 698b97fc7a967eddb76fdedf.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"BR"}. This record does not assert independent reproduction.

### BAML

MAE (mu): 0.686. Result ID: 698b97fc7a967eddb76fded8.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"EN"}. This record does not assert independent reproduction.

### HD

MAE (mu): 0.705. Result ID: 698b97fc7a967eddb76fdedb.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"EN"}. This record does not assert independent reproduction.

### HD

MAE (mu): 0.705. Result ID: 698b97fc7a967eddb76fdee2.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"BR"}. This record does not assert independent reproduction.

### MARAD

MAE (mu): 0.707. Result ID: 698b97fc7a967eddb76fdedc.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"EN"}. This record does not assert independent reproduction.

### ECFP4

MAE (mu): 0.737. Result ID: 698b97fc7a967eddb76fded9.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"EN"}. This record does not assert independent reproduction.

### ECFP4

MAE (mu): 0.737. Result ID: 698b97fc7a967eddb76fdee0.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"BR"}. This record does not assert independent reproduction.

### BOB

MAE (mu): 0.761. Result ID: 698b97fc7a967eddb76fdede.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"BR"}. This record does not assert independent reproduction.

### BOB

MAE (mu): 0.763. Result ID: 698b97fc7a967eddb76fded7.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

Recorded evaluation configuration: {"Regressor":"EN"}. This record does not assert independent reproduction.

### CM

MAE (mu): 0.844. Result ID: 698b97fc7a967eddb76fded6.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa2ff21e209131ce870aa9.md>)

Recorded evaluation configuration: {"Regressor":"EN"}. This record does not assert independent reproduction.

### CM

MAE (mu): 0.844. Result ID: 698b97fc7a967eddb76fdedd.

[Reporting paper](<https://www.sota2.com/research/paper/68fa3c401e209131ce8d9263.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa2ff21e209131ce870aa9.md>)

Recorded evaluation configuration: {"Regressor":"BR"}. This record does not assert independent reproduction.

Page 1 of 1. This is an index page, not the full collection.
