{"id":"W2951667097","doi":"10.48550/arxiv.1504.00578","title":"Universal Rigidity of Bar Frameworks via the Geometry of Spectrahedra","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Structural Analysis and Optimization","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Windsor","funders":"","keywords":"Combinatorics; Mathematics; Affine transformation; Affine space; Intersection (aeronautics); Rigidity (electromagnetism); Euclidean space; Graph; Euclidean geometry; Geometry; Physics; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001026469,0.0005586817,0.000616089,0.001606204,0.001604606,0.002494311,0.001192139,0.0008756471,0.004238734],"category_scores_gemma":[0.002604981,0.000508109,0.001156008,0.0009116287,0.004038682,0.003949997,0.003602696,0.001912896,0.0005150327],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001300935,"about_ca_system_score_gemma":0.0006578758,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002298329,"about_ca_topic_score_gemma":0.00198064,"domain_scores_codex":[0.9982527,0.0003885268,0.00010918,0.000447734,0.0005070591,0.000294786],"domain_scores_gemma":[0.9985508,0.0004261964,0.0002762646,0.0002342412,0.0002205095,0.0002920288],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002206207,0.00001060367,0.0002501342,0.00002582899,0.000006842571,0.00009171643,0.0002324092,0.006570024,0.001110662,0.9872497,0.0003303513,0.004099709],"study_design_scores_gemma":[0.0000137961,0.00005071437,0.0006058484,0.00002897115,0.00001120385,0.0001914298,0.0003195337,0.03552455,0.0008947897,0.9579314,0.004392962,0.00003486731],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.4176486,0.0008519544,0.5064364,0.0007144366,0.0001629052,0.00008302415,0.000520763,0.000492906,0.07308899],"genre_scores_gemma":[0.9495329,0.0003520957,0.0450309,0.0001439071,0.00009716118,0.00006205418,0.0003544135,0.00008212271,0.004344449],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004238734,"threshold_uncertainty_score":0.01417994,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02994544312762646,"score_gpt":0.1622192016381709,"score_spread":0.1322737585105444,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}