# Finding Optimal Elimination Order on RobotArm 6DOF

Source: [Finding Optimal Elimination Order on RobotArm 6DOF](<https://www.sota2.com/research/sota/finding-optimal-elimination-order-on-robotarm-6dof>)

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

Data updated: 2026-02-26T06:07:27.258Z

Evaluation of the performance of finding the optimal elimination order for a 6-Degree-of-Freedom (6DOF) robot arm, measured by the total number of multiplications required.

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 | Finding Optimal Elimination Order |
| Dataset (including any stated split) | RobotArm 6DOF |
| Metric | Total Multiplications |
| 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

- [Total Multiplications](<https://www.sota2.com/research/sota/finding-optimal-elimination-order-on-robotarm-6dof.md?metric=Total%20Multiplications>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Total Multiplications | Result date | Report paper |
| --- | --- | --- | --- |
| AlphaGrad | 231 | Not recorded | 68fa76b91e209131cea6ebac |
| Markowitz | 288 | Not recorded | 68fa76b91e209131cea6ebac |
| Reverse | 301 | Not recorded | 68fa76b91e209131cea6ebac |
| Forward | 397 | Not recorded | 68fa76b91e209131cea6ebac |

### AlphaGrad

Total Multiplications: 231. Result ID: 69945f9d3a6c3148491cd562.

[Reporting paper](<https://www.sota2.com/research/paper/68fa76b91e209131cea6ebac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa76b91e209131cea6ebac.md>)

[Implementation](<https://github.com/jamielohoff/alphagrad>)

Recorded evaluation configuration: {"MCTS simulations":50,"Batch size":"1","Gumbel noise scale":1,"Reward scaling":"default"}. This record does not assert independent reproduction.

### Markowitz

Total Multiplications: 288. Result ID: 69945f9d3a6c3148491cd561.

[Reporting paper](<https://www.sota2.com/research/paper/68fa76b91e209131cea6ebac.md>)

Recorded evaluation configuration: {"Batch size":"1"}. This record does not assert independent reproduction.

### Reverse

Total Multiplications: 301. Result ID: 69945f9d3a6c3148491cd560.

[Reporting paper](<https://www.sota2.com/research/paper/68fa76b91e209131cea6ebac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa63f51e209131cea01d42.md>)

Recorded evaluation configuration: {"Batch size":"1"}. This record does not assert independent reproduction.

### Forward

Total Multiplications: 397. Result ID: 69945f9d3a6c3148491cd55f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa76b91e209131cea6ebac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa63f51e209131cea01d42.md>)

Recorded evaluation configuration: {"Batch size":"1"}. This record does not assert independent reproduction.

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