# Surrogate Modeling on CEC MTMOO Unseen Dimensions 21-28 2019

Source: [Surrogate Modeling on CEC MTMOO Unseen Dimensions 21-28 2019](<https://www.sota2.com/research/sota/surrogate-modeling-on-cec-mtmoo-unseen-dimensions-21-28-2019>)

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

Data updated: 2026-02-26T06:11:18.985Z

Evaluation of Surrogate Modeling performance on the CEC MTMOO Unseen Dimensions 2019 dataset (dimensions 21-28), typically measured using sMAE and R^2.

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 | Surrogate Modeling |
| Dataset (including any stated split) | CEC MTMOO Unseen Dimensions 21-28 2019 |
| Metric | sMAE |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 32 of 32 |
| 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

- [sMAE](<https://www.sota2.com/research/sota/surrogate-modeling-on-cec-mtmoo-unseen-dimensions-21-28-2019.md?metric=sMAE>): Lower is better; unit: SCALAR.

- [R^2](<https://www.sota2.com/research/sota/surrogate-modeling-on-cec-mtmoo-unseen-dimensions-21-28-2019.md?metric=R%5E2>): Higher is better; unit: SCALAR.

## Recorded results

| Method | sMAE | Result date | Report paper |
| --- | --- | --- | --- |
| Q-MetaSur | 0.0322 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.0341 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.0402 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.048 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.0492 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.0573 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.0595 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.0676 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.0969 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.098 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.1113 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.1175 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.1201 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.1374 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 0.1462 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.1976 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2023 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2053 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2057 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2063 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.209 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2113 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2122 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2498 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2526 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2534 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2548 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2569 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2607 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2649 | Not recorded | 69438a70423ea4226572935c |
| RBFN | 0.2653 | Not recorded | 69438a70423ea4226572935c |
| Q-MetaSur | 1.4415 | Not recorded | 69438a70423ea4226572935c |

### Q-MetaSur

sMAE: 0.0322. Result ID: 6999b3bb5698665ec42c99ec.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"21","Objective":"Obj. 1","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.0341. Result ID: 6999b3bb5698665ec42c99f0.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"22","Objective":"Obj. 1","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.0402. Result ID: 6999b3bb5698665ec42c99f4.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"23","Objective":"Obj. 1","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.048. Result ID: 6999b3bb5698665ec42c99fc.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"25","Objective":"Obj. 1","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.0492. Result ID: 6999b3bb5698665ec42c99f8.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"24","Objective":"Obj. 1","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.0573. Result ID: 6999b3bb5698665ec42c9a00.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"26","Objective":"Obj. 1","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.0595. Result ID: 6999b3bb5698665ec42c9a04.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"27","Objective":"Obj. 1","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.0676. Result ID: 6999b3bb5698665ec42c9a08.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"28","Objective":"Obj. 1","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.0969. Result ID: 6999b3bb5698665ec42c99f1.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"22","Objective":"Obj. 2","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.098. Result ID: 6999b3bb5698665ec42c99ed.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"21","Objective":"Obj. 2","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.1113. Result ID: 6999b3bb5698665ec42c99f5.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"23","Objective":"Obj. 2","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.1175. Result ID: 6999b3bb5698665ec42c99f9.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"24","Objective":"Obj. 2","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.1201. Result ID: 6999b3bb5698665ec42c99fd.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"25","Objective":"Obj. 2","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.1374. Result ID: 6999b3bb5698665ec42c9a05.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"27","Objective":"Obj. 2","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 0.1462. Result ID: 6999b3bb5698665ec42c9a09.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"28","Objective":"Obj. 2","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.1976. Result ID: 6999b3bb5698665ec42c99f3.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"22","Objective":"Obj. 2","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2023. Result ID: 6999b3bb5698665ec42c9a0b.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"28","Objective":"Obj. 2","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2053. Result ID: 6999b3bb5698665ec42c99ef.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"21","Objective":"Obj. 2","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2057. Result ID: 6999b3bb5698665ec42c99f7.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"23","Objective":"Obj. 2","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2063. Result ID: 6999b3bb5698665ec42c9a03.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"26","Objective":"Obj. 2","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.209. Result ID: 6999b3bb5698665ec42c99fb.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"24","Objective":"Obj. 2","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2113. Result ID: 6999b3bb5698665ec42c99ff.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"25","Objective":"Obj. 2","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2122. Result ID: 6999b3bb5698665ec42c9a07.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"27","Objective":"Obj. 2","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2498. Result ID: 6999b3bb5698665ec42c99f2.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"22","Objective":"Obj. 1","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2526. Result ID: 6999b3bb5698665ec42c99f6.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"23","Objective":"Obj. 1","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2534. Result ID: 6999b3bb5698665ec42c9a02.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"26","Objective":"Obj. 1","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2548. Result ID: 6999b3bb5698665ec42c9a0a.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"28","Objective":"Obj. 1","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2569. Result ID: 6999b3bb5698665ec42c99fa.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"24","Objective":"Obj. 1","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2607. Result ID: 6999b3bb5698665ec42c99fe.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"25","Objective":"Obj. 1","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2649. Result ID: 6999b3bb5698665ec42c9a06.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"27","Objective":"Obj. 1","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### RBFN

sMAE: 0.2653. Result ID: 6999b3bb5698665ec42c99ee.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"21","Objective":"Obj. 1","Evaluation Protocol":"retrained per new dimension with 5 samples"}. This record does not assert independent reproduction.

### Q-MetaSur

sMAE: 1.4415. Result ID: 6999b3bb5698665ec42c9a01.

[Reporting paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69438a70423ea4226572935c.md>)

Recorded evaluation configuration: {"Dimension":"26","Objective":"Obj. 2","Evaluation Protocol":"zero-shot"}. This record does not assert independent reproduction.

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