# Deep-insertion selection on Goldstein-Mayer lattices

Source: [Deep-insertion selection on Goldstein-Mayer lattices](<https://www.sota2.com/research/sota/deep-insertion-selection-on-goldstein-mayer-lattices>)

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

Data updated: 2026-05-01T08:33:30.739Z

Evaluation of Deep-insertion selection performance on the Goldstein-Mayer lattices dataset, measured by mean operation count (N), mean equivalent-swap count (W), and percentage reduction in N (∆SS).

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 | Deep-insertion selection |
| Dataset (including any stated split) | Goldstein-Mayer lattices |
| Metric | Mean Operation Count (N) |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 12 of 12 |
| 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 Operation Count (N)](<https://www.sota2.com/research/sota/deep-insertion-selection-on-goldstein-mayer-lattices.md?metric=Mean%20Operation%20Count%20(N)>): Lower is better; unit: SCALAR.

- [Mean Equivalent-Swap Count (W)](<https://www.sota2.com/research/sota/deep-insertion-selection-on-goldstein-mayer-lattices.md?metric=Mean%20Equivalent-Swap%20Count%20(W)>): Lower is better; unit: SCALAR.

- [Delta SS (Percentage Reduction in N)](<https://www.sota2.com/research/sota/deep-insertion-selection-on-goldstein-mayer-lattices.md?metric=Delta%20SS%20(Percentage%20Reduction%20in%20N)>): Higher is better; unit: PERCENT.

## Recorded results

| Method | Mean Operation Count (N) | Result date | Report paper |
| --- | --- | --- | --- |
| Deep-Var | 61 | Not recorded | 69f433c955a3c32af89fd3c9 |
| SS-GG | 61 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Thermal-Adaptive | 64 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Deep-Var | 310 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Thermal-Adaptive | 322 | Not recorded | 69f433c955a3c32af89fd3c9 |
| SS-GG | 393 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Deep-Var | 781 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Thermal-Adaptive | 864 | Not recorded | 69f433c955a3c32af89fd3c9 |
| SS-GG | 1421 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Deep-Var | 1660 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Thermal-Adaptive | 1956 | Not recorded | 69f433c955a3c32af89fd3c9 |
| SS-GG | 4851 | Not recorded | 69f433c955a3c32af89fd3c9 |

### Deep-Var

Mean Operation Count (N): 61. Result ID: 69f464f947f34ce924da59f7.

[Reporting paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

Recorded evaluation configuration: {"d (dimension)":"40","n (independent lattices)":"30","δ (Lovász condition parameter)":"0.99"}. This record does not assert independent reproduction.

### SS-GG

Mean Operation Count (N): 61. Result ID: 69f464f947f34ce924da59f8.

[Reporting paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

Recorded evaluation configuration: {"d (dimension)":"40","n (independent lattices)":"30","δ (Lovász condition parameter)":"0.99"}. This record does not assert independent reproduction.

### Thermal-Adaptive

Mean Operation Count (N): 64. Result ID: 69f464f947f34ce924da59f9.

[Reporting paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

Recorded evaluation configuration: {"d (dimension)":"40","n (independent lattices)":"30","δ (Lovász condition parameter)":"0.99"}. This record does not assert independent reproduction.

### Deep-Var

Mean Operation Count (N): 310. Result ID: 69f464f947f34ce924da59fa.

[Reporting paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

Recorded evaluation configuration: {"d (dimension)":"80","n (independent lattices)":"30","δ (Lovász condition parameter)":"0.99"}. This record does not assert independent reproduction.

### Thermal-Adaptive

Mean Operation Count (N): 322. Result ID: 69f464f947f34ce924da59fc.

[Reporting paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

Recorded evaluation configuration: {"d (dimension)":"80","n (independent lattices)":"30","δ (Lovász condition parameter)":"0.99"}. This record does not assert independent reproduction.

### SS-GG

Mean Operation Count (N): 393. Result ID: 69f464f947f34ce924da59fb.

[Reporting paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

Recorded evaluation configuration: {"d (dimension)":"80","n (independent lattices)":"30","δ (Lovász condition parameter)":"0.99"}. This record does not assert independent reproduction.

### Deep-Var

Mean Operation Count (N): 781. Result ID: 69f464f947f34ce924da59fd.

[Reporting paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

Recorded evaluation configuration: {"d (dimension)":"120","n (independent lattices)":"30","δ (Lovász condition parameter)":"0.99"}. This record does not assert independent reproduction.

### Thermal-Adaptive

Mean Operation Count (N): 864. Result ID: 69f464f947f34ce924da59ff.

[Reporting paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

Recorded evaluation configuration: {"d (dimension)":"120","n (independent lattices)":"30","δ (Lovász condition parameter)":"0.99"}. This record does not assert independent reproduction.

### SS-GG

Mean Operation Count (N): 1421. Result ID: 69f464f947f34ce924da59fe.

[Reporting paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

Recorded evaluation configuration: {"d (dimension)":"120","n (independent lattices)":"30","δ (Lovász condition parameter)":"0.99"}. This record does not assert independent reproduction.

### Deep-Var

Mean Operation Count (N): 1660. Result ID: 69f464f947f34ce924da5a00.

[Reporting paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

Recorded evaluation configuration: {"d (dimension)":"160","n (independent lattices)":"30","δ (Lovász condition parameter)":"0.99"}. This record does not assert independent reproduction.

### Thermal-Adaptive

Mean Operation Count (N): 1956. Result ID: 69f464f947f34ce924da5a02.

[Reporting paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

Recorded evaluation configuration: {"d (dimension)":"160","n (independent lattices)":"30","δ (Lovász condition parameter)":"0.99"}. This record does not assert independent reproduction.

### SS-GG

Mean Operation Count (N): 4851. Result ID: 69f464f947f34ce924da5a01.

[Reporting paper](<https://www.sota2.com/research/paper/69f433c955a3c32af89fd3c9.md>)

Recorded evaluation configuration: {"d (dimension)":"160","n (independent lattices)":"30","δ (Lovász condition parameter)":"0.99"}. This record does not assert independent reproduction.

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