# Low-Rank Matrix Optimization on Molecular Conformation (PDB) Source: [Low-Rank Matrix Optimization on Molecular Conformation (PDB)]() Collection index: [llms.txt]() Data updated: 2026-02-26T05:42:24.105Z Evaluation of optimization algorithms applied to determining molecular conformations from the PDB dataset, focusing on convergence criteria (eta metrics), achieved rank, structural accuracy (RMSD), and computational 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 | Low-Rank Matrix Optimization | | Dataset (including any stated split) | Molecular Conformation (PDB) | | Metric | Eta (Primal) | | Unit | SCALAR | | Direction | Lower is better | | Results loaded | 38 of 38 | | 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 - [Eta (Primal)](): Lower is better; unit: SCALAR. - [Eta (Optimal)](): Lower is better; unit: SCALAR. - [Eta (KKT)](): Lower is better; unit: SCALAR. - [Achieved Rank](): Higher is better; unit: SCALAR. - [RMSD](): Lower is better; unit: SCALAR. - [Time](): Lower is better; unit: TIME. ## Recorded results | Method | Eta (Primal) | Result date | Report paper | | --- | --- | --- | --- | | BM-Global | 5e-17 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 2e-16 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 2e-16 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 3e-16 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 4e-16 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 5e-16 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 7e-16 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 7e-16 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 8e-16 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 8e-16 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 1e-15 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 1e-15 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 1e-15 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 2e-15 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 2e-15 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 2e-15 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 3e-15 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 1e-14 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 1e-13 | Not recorded | 68fa5cb11e209131ce9d3630 | | BM-Global | 1e-13 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 2e-13 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 5e-13 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 5e-13 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 6e-13 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 6e-13 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 7e-13 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 1e-12 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 1e-12 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 1e-12 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 1e-12 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 2e-12 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 2e-12 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 3e-12 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 3e-12 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 3e-12 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 4e-12 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 9e-12 | Not recorded | 68fa5cb11e209131ce9d3630 | | QSDPNAL | 3e-11 | Not recorded | 68fa5cb11e209131ce9d3630 | ### BM-Global Eta (Primal): 5e-17. Result ID: 699a39955698665ec4bfe635. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":3672,"Instance":"1BPM"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 2e-16. Result ID: 699a39955698665ec4bfe617. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":402,"Instance":"1PTQ"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 2e-16. Result ID: 699a39955698665ec4bfe629. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":1003,"Instance":"1AX8"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 3e-16. Result ID: 699a39955698665ec4bfe623. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":806,"Instance":"1DCH"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 4e-16. Result ID: 699a39955698665ec4bfe61d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":641,"Instance":"1LFB"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 5e-16. Result ID: 699a39955698665ec4bfe631. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":2846,"Instance":"1KDH"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 7e-16. Result ID: 699a39955698665ec4bfe61b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":558,"Instance":"1HOE"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 7e-16. Result ID: 699a39955698665ec4bfe625. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":891,"Instance":"1HQQ"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 8e-16. Result ID: 699a39955698665ec4bfe61f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":666,"Instance":"1PHT"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 8e-16. Result ID: 699a39955698665ec4bfe621. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":767,"Instance":"1F39"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 1e-15. Result ID: 699a39955698665ec4bfe619. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":487,"Instance":"1CTF"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 1e-15. Result ID: 699a39955698665ec4bfe627. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":914,"Instance":"1POA"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 1e-15. Result ID: 699a39955698665ec4bfe62d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":2015,"Instance":"1RGS"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 2e-15. Result ID: 699a39955698665ec4bfe62b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":1394,"Instance":"1TJO"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 2e-15. Result ID: 699a39955698665ec4bfe62f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":2138,"Instance":"1TOA"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 2e-15. Result ID: 699a39955698665ec4bfe637. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":5510,"Instance":"1MQQ"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 3e-15. Result ID: 699a39955698665ec4bfe633. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":3501,"Instance":"1NFG"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 1e-14. Result ID: 699a39955698665ec4bfe636. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":5510,"Instance":"1MQQ"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 1e-13. Result ID: 699a39955698665ec4bfe613. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":126,"Instance":"1PBM"}. This record does not assert independent reproduction. ### BM-Global Eta (Primal): 1e-13. Result ID: 699a39955698665ec4bfe615. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":161,"Instance":"1AU6"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 2e-13. Result ID: 699a39955698665ec4bfe61e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":666,"Instance":"1PHT"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 5e-13. Result ID: 699a39955698665ec4bfe61c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":641,"Instance":"1LFB"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 5e-13. Result ID: 699a39955698665ec4bfe62a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":1394,"Instance":"1TJO"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 6e-13. Result ID: 699a39955698665ec4bfe624. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":891,"Instance":"1HQQ"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 6e-13. Result ID: 699a39955698665ec4bfe628. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":1003,"Instance":"1AX8"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 7e-13. Result ID: 699a39955698665ec4bfe622. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":806,"Instance":"1DCH"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 1e-12. Result ID: 699a39955698665ec4bfe612. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":126,"Instance":"1PBM"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 1e-12. Result ID: 699a39955698665ec4bfe61a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":558,"Instance":"1HOE"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 1e-12. Result ID: 699a39955698665ec4bfe626. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":914,"Instance":"1POA"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 1e-12. Result ID: 699a39955698665ec4bfe634. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":3672,"Instance":"1BPM"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 2e-12. Result ID: 699a39955698665ec4bfe616. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":402,"Instance":"1PTQ"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 2e-12. Result ID: 699a39955698665ec4bfe632. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":3501,"Instance":"1NFG"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 3e-12. Result ID: 699a39955698665ec4bfe614. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":161,"Instance":"1AU6"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 3e-12. Result ID: 699a39955698665ec4bfe618. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":487,"Instance":"1CTF"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 3e-12. Result ID: 699a39955698665ec4bfe62c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":2015,"Instance":"1RGS"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 4e-12. Result ID: 699a39955698665ec4bfe620. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":767,"Instance":"1F39"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 9e-12. Result ID: 699a39955698665ec4bfe62e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":2138,"Instance":"1TOA"}. This record does not assert independent reproduction. ### QSDPNAL Eta (Primal): 3e-11. Result ID: 699a39955698665ec4bfe630. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"n":2846,"Instance":"1KDH"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.