# Global Non-convex Optimization on Random Trigonometric Polynomials Source: [Global Non-convex Optimization on Random Trigonometric Polynomials]() Collection index: [llms.txt]() Data updated: 2026-02-26T05:38:59.510Z Evaluation of optimization algorithms for finding global solutions on the dataset composed of random trigonometric polynomials, measured by certification success rate and iteration count. 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 | Global non-convex optimization | | Dataset (including any stated split) | Random trigonometric polynomials | | Metric | Certification Success Rate | | Unit | SCALAR | | Direction | Higher is better | | Results loaded | 16 of 16 | | 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 - [Certification Success Rate](): Higher is better; unit: SCALAR. - [Iterations](): Lower is better; unit: SCALAR. ## Recorded results | Method | Certification Success Rate | Result date | Report paper | | --- | --- | --- | --- | | GloptiNet-small | 0.0476 | Not recorded | 68fa5b361e209131ce9c63b5 | | GloptiNet-small | 0.0371 | Not recorded | 68fa5b361e209131ce9c63b5 | | GloptiNet-small | 0.0246 | Not recorded | 68fa5b361e209131ce9c63b5 | | GloptiNet-big | 0.00485 | Not recorded | 68fa5b361e209131ce9c63b5 | | GloptiNet-big | 0.00359 | Not recorded | 68fa5b361e209131ce9c63b5 | | GloptiNet-big | 0.00345 | Not recorded | 68fa5b361e209131ce9c63b5 | | GloptiNet-small | 0.00118 | Not recorded | 68fa5b361e209131ce9c63b5 | | GloptiNet-small | 0.000951 | Not recorded | 68fa5b361e209131ce9c63b5 | | GloptiNet-small | 0.000835 | Not recorded | 68fa5b361e209131ce9c63b5 | | GloptiNet-big | 0.000334 | Not recorded | 68fa5b361e209131ce9c63b5 | | GloptiNet-big | 0.00029 | Not recorded | 68fa5b361e209131ce9c63b5 | | GloptiNet-big | 0.000264 | Not recorded | 68fa5b361e209131ce9c63b5 | | TSSOS | 3.1e-10 | Not recorded | 68fa5b361e209131ce9c63b5 | | TSSOS | 5.3e-11 | Not recorded | 68fa5b361e209131ce9c63b5 | | TSSOS | 4.8e-12 | Not recorded | 68fa5b361e209131ce9c63b5 | | TSSOS | 4.7e-13 | Not recorded | 68fa5b361e209131ce9c63b5 | ### GloptiNet-small Certification Success Rate: 0.0476. Result ID: 698bb1267a967eddb770a4dd. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"d":4,"p":7,"n":833}. This record does not assert independent reproduction. ### GloptiNet-small Certification Success Rate: 0.0371. Result ID: 698bb1267a967eddb770a4db. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"d":4,"p":5,"n":225}. This record does not assert independent reproduction. ### GloptiNet-small Certification Success Rate: 0.0246. Result ID: 698bb1267a967eddb770a4d8. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"d":4,"p":3,"n":33}. This record does not assert independent reproduction. ### GloptiNet-big Certification Success Rate: 0.00485. Result ID: 698bb1267a967eddb770a4de. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"d":4,"p":7,"n":833}. This record does not assert independent reproduction. ### GloptiNet-big Certification Success Rate: 0.00359. Result ID: 698bb1267a967eddb770a4dc. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"d":4,"p":5,"n":225}. This record does not assert independent reproduction. ### GloptiNet-big Certification Success Rate: 0.00345. Result ID: 698bb1267a967eddb770a4d9. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"d":4,"p":3,"n":33}. This record does not assert independent reproduction. ### GloptiNet-small Certification Success Rate: 0.00118. Result ID: 698bb1267a967eddb770a4d5. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"d":3,"p":9,"n":489}. This record does not assert independent reproduction. ### GloptiNet-small Certification Success Rate: 0.000951. Result ID: 698bb1267a967eddb770a4d3. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"d":3,"p":7,"n":231}. This record does not assert independent reproduction. ### GloptiNet-small Certification Success Rate: 0.000835. Result ID: 698bb1267a967eddb770a4d0. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"d":3,"p":5,"n":85}. This record does not assert independent reproduction. ### GloptiNet-big Certification Success Rate: 0.000334. Result ID: 698bb1267a967eddb770a4d6. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"d":3,"p":9,"n":489}. This record does not assert independent reproduction. ### GloptiNet-big Certification Success Rate: 0.00029. Result ID: 698bb1267a967eddb770a4d4. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"d":3,"p":7,"n":231}. This record does not assert independent reproduction. ### GloptiNet-big Certification Success Rate: 0.000264. Result ID: 698bb1267a967eddb770a4d1. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"d":3,"p":5,"n":85}. This record does not assert independent reproduction. ### TSSOS Certification Success Rate: 3.1e-10. Result ID: 698bb1267a967eddb770a4d7. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"d":4,"p":3,"n":33}. This record does not assert independent reproduction. ### TSSOS Certification Success Rate: 5.3e-11. Result ID: 698bb1267a967eddb770a4cf. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"d":3,"p":5,"n":85}. This record does not assert independent reproduction. ### TSSOS Certification Success Rate: 4.8e-12. Result ID: 698bb1267a967eddb770a4da. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"d":4,"p":5,"n":225}. This record does not assert independent reproduction. ### TSSOS Certification Success Rate: 4.7e-13. Result ID: 698bb1267a967eddb770a4d2. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"d":3,"p":7,"n":231}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.