# Minimum Volume Enclosing Ellipsoid optimization on Example 3 MVEE 1000 randomized instances Source: [Minimum Volume Enclosing Ellipsoid optimization on Example 3 MVEE 1000 randomized instances]() Collection index: [llms.txt]() Data updated: 2026-06-09T10:04:08.547Z Evaluation of algorithms solving the Minimum Volume Enclosing Ellipsoid (MVEE) optimization problem using 1000 randomized instances from the Example 3 set. Performance is primarily measured by average solving time. 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 | Minimum Volume Enclosing Ellipsoid optimization | | Dataset (including any stated split) | Example 3 MVEE 1000 randomized instances | | Metric | Average Solving Time (ms) | | Unit | TIME | | 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 - [Average Solving Time (ms)](): Lower is better; unit: TIME. ## Recorded results | Method | Average Solving Time (ms) | Result date | Report paper | | --- | --- | --- | --- | | sMEL-ADMM | 0.18 | Not recorded | 6a279e7c90966ade919bfbe3 | | sMEL-ADMM | 0.23 | Not recorded | 6a279e7c90966ade919bfbe3 | | sMEL-ADMM | 0.3 | Not recorded | 6a279e7c90966ade919bfbe3 | | sMEL-ADMM | 0.38 | Not recorded | 6a279e7c90966ade919bfbe3 | | Clarabel | 0.79 | Not recorded | 6a279e7c90966ade919bfbe3 | | Clarabel | 0.84 | Not recorded | 6a279e7c90966ade919bfbe3 | | Clarabel | 0.89 | Not recorded | 6a279e7c90966ade919bfbe3 | | Clarabel | 0.92 | Not recorded | 6a279e7c90966ade919bfbe3 | | Mosek | 1.36 | Not recorded | 6a279e7c90966ade919bfbe3 | | Mosek | 1.44 | Not recorded | 6a279e7c90966ade919bfbe3 | | Mosek | 1.66 | Not recorded | 6a279e7c90966ade919bfbe3 | | Mosek | 1.67 | Not recorded | 6a279e7c90966ade919bfbe3 | ### sMEL-ADMM Average Solving Time (ms): 0.18. Result ID: 6a27e4d6fbc373592c253385. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of constraints (m)":"55","Optimality gap (g\_opt)":"1%"}. This record does not assert independent reproduction. ### sMEL-ADMM Average Solving Time (ms): 0.23. Result ID: 6a27e4d6fbc373592c253387. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of constraints (m)":"75","Optimality gap (g\_opt)":"1%"}. This record does not assert independent reproduction. ### sMEL-ADMM Average Solving Time (ms): 0.3. Result ID: 6a27e4d6fbc373592c253386. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of constraints (m)":"55","Optimality gap (g\_opt)":"0.1%"}. This record does not assert independent reproduction. ### sMEL-ADMM Average Solving Time (ms): 0.38. Result ID: 6a27e4d6fbc373592c253388. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of constraints (m)":"75","Optimality gap (g\_opt)":"0.1%"}. This record does not assert independent reproduction. ### Clarabel Average Solving Time (ms): 0.79. Result ID: 6a27e4d6fbc373592c253381. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of constraints (m)":"55","Optimality gap (g\_opt)":"1%"}. This record does not assert independent reproduction. ### Clarabel Average Solving Time (ms): 0.84. Result ID: 6a27e4d6fbc373592c253382. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of constraints (m)":"55","Optimality gap (g\_opt)":"0.1%"}. This record does not assert independent reproduction. ### Clarabel Average Solving Time (ms): 0.89. Result ID: 6a27e4d6fbc373592c253383. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of constraints (m)":"75","Optimality gap (g\_opt)":"1%"}. This record does not assert independent reproduction. ### Clarabel Average Solving Time (ms): 0.92. Result ID: 6a27e4d6fbc373592c253384. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of constraints (m)":"75","Optimality gap (g\_opt)":"0.1%"}. This record does not assert independent reproduction. ### Mosek Average Solving Time (ms): 1.36. Result ID: 6a27e4d6fbc373592c25337d. [Reporting paper]() Recorded evaluation configuration: {"Number of constraints (m)":"55","Optimality gap (g\_opt)":"1%"}. This record does not assert independent reproduction. ### Mosek Average Solving Time (ms): 1.44. Result ID: 6a27e4d6fbc373592c25337e. [Reporting paper]() Recorded evaluation configuration: {"Number of constraints (m)":"55","Optimality gap (g\_opt)":"0.1%"}. This record does not assert independent reproduction. ### Mosek Average Solving Time (ms): 1.66. Result ID: 6a27e4d6fbc373592c25337f. [Reporting paper]() Recorded evaluation configuration: {"Number of constraints (m)":"75","Optimality gap (g\_opt)":"1%"}. This record does not assert independent reproduction. ### Mosek Average Solving Time (ms): 1.67. Result ID: 6a27e4d6fbc373592c253380. [Reporting paper]() Recorded evaluation configuration: {"Number of constraints (m)":"75","Optimality gap (g\_opt)":"0.1%"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.