# Robot Trajectory Planning Computation on Self-collision

Source: [Robot Trajectory Planning Computation on Self-collision](<https://www.sota2.com/research/sota/robot-trajectory-planning-computation-on-self-collision>)

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

Data updated: 2026-06-09T09:43:59.090Z

Evaluation of robot trajectory planning performance focusing on computation time statistics (mean, std, max) using the Self-collision dataset.

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 | Robot Trajectory Planning Computation |
| Dataset (including any stated split) | Self-collision |
| Metric | Mean Time |
| Unit | TIME |
| 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

- [Mean Time](<https://www.sota2.com/research/sota/robot-trajectory-planning-computation-on-self-collision.md?metric=Mean%20Time>): Lower is better; unit: TIME.

- [Std Dev Time](<https://www.sota2.com/research/sota/robot-trajectory-planning-computation-on-self-collision.md?metric=Std%20Dev%20Time>): Lower is better; unit: TIME.

- [Max Time](<https://www.sota2.com/research/sota/robot-trajectory-planning-computation-on-self-collision.md?metric=Max%20Time>): Lower is better; unit: TIME.

## Recorded results

| Method | Mean Time | Result date | Report paper |
| --- | --- | --- | --- |
| Differentiable Constraint-Based Trajectory Planning | 14 | Not recorded | 6a279e6e90966ade919bfad7 |
| Differentiable Constraint-Based Trajectory Planning | 24 | Not recorded | 6a279e6e90966ade919bfad7 |
| Spheres | 25 | Not recorded | 6a279e6e90966ade919bfad7 |
| Spheres | 34 | Not recorded | 6a279e6e90966ade919bfad7 |
| Differentiable Constraint-Based Trajectory Planning | 62 | Not recorded | 6a279e6e90966ade919bfad7 |
| Spheres | 84 | Not recorded | 6a279e6e90966ade919bfad7 |
| Differentiable Constraint-Based Trajectory Planning | 107 | Not recorded | 6a279e6e90966ade919bfad7 |
| Spheres | 130 | Not recorded | 6a279e6e90966ade919bfad7 |
| NMPC-MP | 155 | Not recorded | 6a279e6e90966ade919bfad7 |
| NMPC-MP | 195 | Not recorded | 6a279e6e90966ade919bfad7 |
| Differentiable Constraint-Based Trajectory Planning | 210 | Not recorded | 6a279e6e90966ade919bfad7 |
| NMPC-MP | 299 | Not recorded | 6a279e6e90966ade919bfad7 |
| Spheres | 305 | Not recorded | 6a279e6e90966ade919bfad7 |
| Differentiable Constraint-Based Trajectory Planning | 398 | Not recorded | 6a279e6e90966ade919bfad7 |
| Spheres | 448 | Not recorded | 6a279e6e90966ade919bfad7 |
| NMPC-MP | 467 | Not recorded | 6a279e6e90966ade919bfad7 |
| NMPC-MP | 640 | Not recorded | 6a279e6e90966ade919bfad7 |
| NMPC-MP | 809 | Not recorded | 6a279e6e90966ade919bfad7 |

### Differentiable Constraint-Based Trajectory Planning

Mean Time: 14. Result ID: 6a27df45fbc373592c250996.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"0"}. This record does not assert independent reproduction.

### Differentiable Constraint-Based Trajectory Planning

Mean Time: 24. Result ID: 6a27df45fbc373592c250997.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"1"}. This record does not assert independent reproduction.

### Spheres

Mean Time: 25. Result ID: 6a27df45fbc373592c25099c.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"0"}. This record does not assert independent reproduction.

### Spheres

Mean Time: 34. Result ID: 6a27df45fbc373592c25099d.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"1"}. This record does not assert independent reproduction.

### Differentiable Constraint-Based Trajectory Planning

Mean Time: 62. Result ID: 6a27df45fbc373592c250998.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"3"}. This record does not assert independent reproduction.

### Spheres

Mean Time: 84. Result ID: 6a27df45fbc373592c25099e.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"3"}. This record does not assert independent reproduction.

### Differentiable Constraint-Based Trajectory Planning

Mean Time: 107. Result ID: 6a27df45fbc373592c250999.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"6"}. This record does not assert independent reproduction.

### Spheres

Mean Time: 130. Result ID: 6a27df45fbc373592c25099f.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"6"}. This record does not assert independent reproduction.

### NMPC-MP

Mean Time: 155. Result ID: 6a27df45fbc373592c250990.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"0"}. This record does not assert independent reproduction.

### NMPC-MP

Mean Time: 195. Result ID: 6a27df45fbc373592c250991.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"1"}. This record does not assert independent reproduction.

### Differentiable Constraint-Based Trajectory Planning

Mean Time: 210. Result ID: 6a27df45fbc373592c25099a.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"9"}. This record does not assert independent reproduction.

### NMPC-MP

Mean Time: 299. Result ID: 6a27df45fbc373592c250992.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"3"}. This record does not assert independent reproduction.

### Spheres

Mean Time: 305. Result ID: 6a27df45fbc373592c2509a0.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"9"}. This record does not assert independent reproduction.

### Differentiable Constraint-Based Trajectory Planning

Mean Time: 398. Result ID: 6a27df45fbc373592c25099b.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"12"}. This record does not assert independent reproduction.

### Spheres

Mean Time: 448. Result ID: 6a27df45fbc373592c2509a1.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"12"}. This record does not assert independent reproduction.

### NMPC-MP

Mean Time: 467. Result ID: 6a27df45fbc373592c250993.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"6"}. This record does not assert independent reproduction.

### NMPC-MP

Mean Time: 640. Result ID: 6a27df45fbc373592c250994.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"9"}. This record does not assert independent reproduction.

### NMPC-MP

Mean Time: 809. Result ID: 6a27df45fbc373592c250995.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"12"}. This record does not assert independent reproduction.

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