{"id":"W4210253911","doi":"10.37236/9858","title":"Slide Multiplicity Free Key Polynomials","year":2022,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Ajou University","keywords":"Multiplicity (mathematics); Mathematics; Polynomial; Key (lock); Combinatorics; Symmetric polynomial; Discrete mathematics; Algebra over a field; Pure mathematics; Matrix polynomial; Computer science; Geometry; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003663342,0.0002838799,0.0006515371,0.0001672693,0.0006149455,0.00004183973,0.002311011,0.00006766877,0.00009459587],"category_scores_gemma":[0.002317843,0.0002164957,0.0003203817,0.0006547868,0.0000784667,0.0001860915,0.0006789588,0.0019259,0.000006219444],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001372513,"about_ca_system_score_gemma":0.000626325,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005937545,"about_ca_topic_score_gemma":0.000003199169,"domain_scores_codex":[0.9961674,0.0005252246,0.001050916,0.0001721584,0.001253119,0.0008312003],"domain_scores_gemma":[0.9951279,0.001957896,0.001484154,0.000992767,0.000316763,0.0001204946],"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":[0.0001160036,0.0004678202,0.00003401897,0.00002316922,0.0001480832,0.00001692388,0.0008041307,0.0001777787,0.0004809097,0.9913569,0.006255591,0.0001186705],"study_design_scores_gemma":[0.002108098,0.000811697,0.00001151837,0.0000149011,0.0001408444,0.0004536011,0.0005889224,0.0001121853,0.001986339,0.9801226,0.01342339,0.0002258985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9107429,0.004125477,0.07034424,0.004150256,0.005555436,0.001088264,0.00001840089,0.0001870005,0.003788037],"genre_scores_gemma":[0.9982359,0.0001174323,0.0004806293,0.0001142185,0.0002533102,0.00002419014,5.434566e-7,0.00007564546,0.000698119],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08749302,"threshold_uncertainty_score":0.8828437,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02191294596539761,"score_gpt":0.2830913429359265,"score_spread":0.2611783969705289,"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."}}