{"id":"W3047746738","doi":"10.37236/9801","title":"Sign Variation and Descents","year":2020,"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":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; York University","keywords":"Eulerian path; Sign (mathematics); Bounded function; Equivalence (formal languages); Interpretation (philosophy); Type (biology); Variation (astronomy)","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":[],"consensus_categories":[],"category_scores_codex":[0.0008604651,0.0001536194,0.0003254751,0.0000402193,0.0001085519,0.0000373783,0.0004008466,0.00006435742,0.000007730852],"category_scores_gemma":[0.001397302,0.000107142,0.00007736828,0.0003062208,0.00004250946,0.000183155,0.00007387602,0.0006272262,0.000004442968],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001725819,"about_ca_system_score_gemma":0.0001880605,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.326335e-7,"about_ca_topic_score_gemma":1.882546e-7,"domain_scores_codex":[0.9984621,0.0001417826,0.0005021379,0.00009863172,0.0004464984,0.0003488537],"domain_scores_gemma":[0.9981783,0.0006518142,0.000634041,0.0001783967,0.0002396603,0.0001177665],"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":[0.00005176053,0.0000862542,0.00002872273,0.00004244154,0.00007088163,0.000004246075,0.001582672,0.000007735048,0.0005604699,0.9969287,0.0003901307,0.0002459729],"study_design_scores_gemma":[0.001021629,0.0005893867,0.00005663241,0.00002621696,0.0001157432,0.00007666383,0.0001332063,0.0002820807,0.0009476544,0.9958895,0.0007512417,0.0001099784],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5682584,0.002223933,0.4216665,0.005661965,0.0009469567,0.0005022768,0.000001028578,0.00008234076,0.0006565907],"genre_scores_gemma":[0.9989033,0.0002743407,0.000446227,0.0001326158,0.0001741327,0.000001724303,1.179931e-7,0.00003063462,0.00003686609],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4306449,"threshold_uncertainty_score":0.4369123,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03089264351403811,"score_gpt":0.2769744413099855,"score_spread":0.2460817977959474,"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."}}