# Deep-insertion selection on Gaussian lattices

Source: [Deep-insertion selection on Gaussian lattices](<https://www.sota2.com/research/sota/deep-insertion-selection-on-gaussian-lattices>)

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

Data updated: 2026-05-01T08:33:30.441Z

Evaluation of Deep-insertion selection performance on the Gaussian 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) | Gaussian 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-gaussian-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-gaussian-lattices.md?metric=Mean%20Equivalent-Swap%20Count%20(W)>): Lower is better; unit: SCALAR.

- [Percentage Reduction in N (∆SS)](<https://www.sota2.com/research/sota/deep-insertion-selection-on-gaussian-lattices.md?metric=Percentage%20Reduction%20in%20N%20(%E2%88%86SS)>): Higher is better; unit: PERCENT.

## Recorded results

| Method | Mean Operation Count (N) | Result date | Report paper |
| --- | --- | --- | --- |
| Thermal-Adaptive | 62 | Not recorded | 69f433c955a3c32af89fd3c9 |
| SS-GG | 71 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Deep-Var | 77 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Thermal-Adaptive | 158 | Not recorded | 69f433c955a3c32af89fd3c9 |
| SS-GG | 178 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Deep-Var | 201 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Thermal-Adaptive | 260 | Not recorded | 69f433c955a3c32af89fd3c9 |
| SS-GG | 307 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Deep-Var | 348 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Thermal-Adaptive | 404 | Not recorded | 69f433c955a3c32af89fd3c9 |
| SS-GG | 465 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Deep-Var | 521 | Not recorded | 69f433c955a3c32af89fd3c9 |

### Thermal-Adaptive

Mean Operation Count (N): 62. Result ID: 69f464f947f34ce924da59e1.

[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): 71. Result ID: 69f464f947f34ce924da59e0.

[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.

### Deep-Var

Mean Operation Count (N): 77. Result ID: 69f464f947f34ce924da59df.

[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.

### Thermal-Adaptive

Mean Operation Count (N): 158. Result ID: 69f464f947f34ce924da59e4.

[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): 178. Result ID: 69f464f947f34ce924da59e3.

[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): 201. Result ID: 69f464f947f34ce924da59e2.

[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): 260. Result ID: 69f464f947f34ce924da59e7.

[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): 307. Result ID: 69f464f947f34ce924da59e6.

[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): 348. Result ID: 69f464f947f34ce924da59e5.

[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): 404. Result ID: 69f464f947f34ce924da59ea.

[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): 465. Result ID: 69f464f947f34ce924da59e9.

[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.

### Deep-Var

Mean Operation Count (N): 521. Result ID: 69f464f947f34ce924da59e8.

[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.

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