# Deep-insertion selection on q-ary lattices

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

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

Data updated: 2026-05-01T08:33:30.483Z

Evaluation of Deep-insertion selection performance on the q-ary lattices dataset, measured by mean operation count (N), mean equivalent-swap count (W), and relative 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) | q-ary 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-q-ary-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-q-ary-lattices.md?metric=Mean%20Equivalent-Swap%20Count%20(W)>): Lower is better; unit: SCALAR.

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

## Recorded results

| Method | Mean Operation Count (N) | Result date | Report paper |
| --- | --- | --- | --- |
| SS-GG | 155 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Thermal-Adaptive | 155 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Deep-Var | 160 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Deep-Var | 518 | Not recorded | 69f433c955a3c32af89fd3c9 |
| SS-GG | 626 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Thermal-Adaptive | 627 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Deep-Var | 1074 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Deep-Var | 1877 | Not recorded | 69f433c955a3c32af89fd3c9 |
| SS-GG | 1927 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Thermal-Adaptive | 1927 | Not recorded | 69f433c955a3c32af89fd3c9 |
| SS-GG | 5454 | Not recorded | 69f433c955a3c32af89fd3c9 |
| Thermal-Adaptive | 5454 | Not recorded | 69f433c955a3c32af89fd3c9 |

### SS-GG

Mean Operation Count (N): 155. Result ID: 69f464f947f34ce924da59ec.

[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): 155. Result ID: 69f464f947f34ce924da59ed.

[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): 160. Result ID: 69f464f947f34ce924da59eb.

[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): 518. Result ID: 69f464f947f34ce924da59ee.

[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): 626. Result ID: 69f464f947f34ce924da59ef.

[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.

### Thermal-Adaptive

Mean Operation Count (N): 627. Result ID: 69f464f947f34ce924da59f0.

[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.

### Deep-Var

Mean Operation Count (N): 1074. Result ID: 69f464f947f34ce924da59f1.

[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.

### Deep-Var

Mean Operation Count (N): 1877. Result ID: 69f464f947f34ce924da59f4.

[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): 1927. Result ID: 69f464f947f34ce924da59f2.

[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.

### Thermal-Adaptive

Mean Operation Count (N): 1927. Result ID: 69f464f947f34ce924da59f3.

[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): 5454. Result ID: 69f464f947f34ce924da59f5.

[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.

### Thermal-Adaptive

Mean Operation Count (N): 5454. Result ID: 69f464f947f34ce924da59f6.

[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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