{"id":"W2115900859","doi":"10.1007/s00454-008-9096-4","title":"A Continuous d-Step Conjecture for Polytopes","year":2008,"lang":"en","type":"article","venue":"Discrete & Computational Geometry","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs","keywords":"Polytope; Mathematics; Combinatorics; Conjecture; Curvature; Path (computing); Dimension (graph theory); Order (exchange); Polytope model; Geometry; Computer science","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001921281,0.0002812107,0.0004915626,0.0001823003,0.0002827414,0.00003515482,0.0002856393,0.000126618,0.00007867982],"category_scores_gemma":[0.001288708,0.0002596337,0.0002131309,0.0003866782,0.0001326205,0.0001497475,0.00008724516,0.0001789931,0.00003952887],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000070011,"about_ca_system_score_gemma":0.00009918311,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003648514,"about_ca_topic_score_gemma":0.00000108734,"domain_scores_codex":[0.9982458,0.00004138127,0.0005023445,0.0003515243,0.0004868253,0.0003721404],"domain_scores_gemma":[0.9964259,0.002601595,0.0002752331,0.000292866,0.0002813807,0.0001230787],"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":[0.00008170693,0.0002135572,0.0008218702,0.0002254111,0.0001595819,0.00002884679,0.0006434431,0.00166206,0.00006227988,0.9858877,0.00930277,0.0009107885],"study_design_scores_gemma":[0.001802396,0.000206126,0.0008466477,0.00005939722,0.00005479963,0.0001460073,0.0001785817,0.005754784,0.0002328419,0.9851046,0.005184106,0.0004297792],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3643614,0.0001860725,0.6319524,0.0003167922,0.000578838,0.0008562023,0.0001375503,0.0002687016,0.001342045],"genre_scores_gemma":[0.7693091,0.000003757468,0.2290944,0.0001786809,0.0002739165,0.00007897148,0.00008123349,0.00006254898,0.0009173187],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4049478,"threshold_uncertainty_score":0.9999856,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03949021774810775,"score_gpt":0.3228103529865319,"score_spread":0.2833201352384241,"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."}}