# Mathematical Optimization on MinMax Distance

Source: [Mathematical Optimization on MinMax Distance](<https://www.sota2.com/research/sota/mathematical-optimization-on-minmax-distance>)

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

Data updated: 2026-04-28T10:16:17.126Z

Evaluation of mathematical optimization algorithms on the general MinMax Distance problem, reporting average and best performance metrics.

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 | Mathematical Optimization |
| Dataset (including any stated split) | MinMax Distance |
| Metric | Average MinMax Distance |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 10 of 10 |
| 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

- [Average MinMax Distance](<https://www.sota2.com/research/sota/mathematical-optimization-on-minmax-distance.md?metric=Average%20MinMax%20Distance>): Lower is better; unit: SCALAR.

- [Best MinMax Distance](<https://www.sota2.com/research/sota/mathematical-optimization-on-minmax-distance.md?metric=Best%20MinMax%20Distance>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Average MinMax Distance | Result date | Report paper |
| --- | --- | --- | --- |
| OpenEvolve | 0.2564 | Not recorded | 69f03f7855a3c32af89fa525 |
| GEPA | 0.276 | Not recorded | 69f03f7855a3c32af89fa525 |
| OpenEvolve | 0.2765 | Not recorded | 69f03f7855a3c32af89fa525 |
| ShinkaEvolve | 0.2776 | Not recorded | 69f03f7855a3c32af89fa525 |
| SEAEVOOPEN | 0.2778 | Not recorded | 69f03f7855a3c32af89fa525 |
| SEAEVOSHINKA | 0.278 | Not recorded | 69f03f7855a3c32af89fa525 |
| ShinkaEvolve | 0.2783 | Not recorded | 69f03f7855a3c32af89fa525 |
| GEPA | 0.2785 | Not recorded | 69f03f7855a3c32af89fa525 |
| SEAEVOOPEN | 0.2785 | Not recorded | 69f03f7855a3c32af89fa525 |
| SEAEVOSHINKA | 0.2785 | Not recorded | 69f03f7855a3c32af89fa525 |

### OpenEvolve

Average MinMax Distance: 0.2564. Result ID: 69f088de47f34ce924d715b0.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

Recorded evaluation configuration: {"Backbone":"MiMo-V2-Pro"}. This record does not assert independent reproduction.

### GEPA

Average MinMax Distance: 0.276. Result ID: 69f088de47f34ce924d715af.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7a3a1e209131cea81ee3.md>)

Recorded evaluation configuration: {"Backbone":"MiMo-V2-Pro"}. This record does not assert independent reproduction.

### OpenEvolve

Average MinMax Distance: 0.2765. Result ID: 69f088de47f34ce924d715b5.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

Recorded evaluation configuration: {"Backbone":"Gemini-3-Flash"}. This record does not assert independent reproduction.

### ShinkaEvolve

Average MinMax Distance: 0.2776. Result ID: 69f088de47f34ce924d715b1.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7b851e209131cea88df8.md>)

Recorded evaluation configuration: {"Backbone":"MiMo-V2-Pro"}. This record does not assert independent reproduction.

### SEAEVOOPEN

Average MinMax Distance: 0.2778. Result ID: 69f088de47f34ce924d715b2.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

Recorded evaluation configuration: {"Backbone":"MiMo-V2-Pro"}. This record does not assert independent reproduction.

### SEAEVOSHINKA

Average MinMax Distance: 0.278. Result ID: 69f088de47f34ce924d715b3.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

Recorded evaluation configuration: {"Backbone":"MiMo-V2-Pro"}. This record does not assert independent reproduction.

### ShinkaEvolve

Average MinMax Distance: 0.2783. Result ID: 69f088de47f34ce924d715b6.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7b851e209131cea88df8.md>)

Recorded evaluation configuration: {"Backbone":"Gemini-3-Flash"}. This record does not assert independent reproduction.

### GEPA

Average MinMax Distance: 0.2785. Result ID: 69f088de47f34ce924d715b4.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7a3a1e209131cea81ee3.md>)

Recorded evaluation configuration: {"Backbone":"Gemini-3-Flash"}. This record does not assert independent reproduction.

### SEAEVOOPEN

Average MinMax Distance: 0.2785. Result ID: 69f088de47f34ce924d715b7.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

Recorded evaluation configuration: {"Backbone":"Gemini-3-Flash"}. This record does not assert independent reproduction.

### SEAEVOSHINKA

Average MinMax Distance: 0.2785. Result ID: 69f088de47f34ce924d715b8.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f03f7855a3c32af89fa525.md>)

Recorded evaluation configuration: {"Backbone":"Gemini-3-Flash"}. This record does not assert independent reproduction.

Page 1 of 1. This is an index page, not the full collection.