{"id":"W2963906392","doi":"10.46298/dmtcs.6416","title":"Counting quadrant walks via Tutte's invariant method (extended abstract)","year":2020,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Agence Nationale de la Recherche; National Science Foundation","keywords":"Enumeration; Mathematical proof; Algebraic number; Mathematics; Invariant (physics); Quadrant (abdomen); Algebraic function; Discrete mathematics; Combinatorics; Mathematical analysis; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007080089,0.0006041863,0.0006250899,0.003121084,0.0008859239,0.002077977,0.00129882,0.0006326362,0.01509678],"category_scores_gemma":[0.003240775,0.0003298485,0.001187469,0.001448306,0.001534229,0.002292703,0.001603248,0.001296147,0.002004011],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001282601,"about_ca_system_score_gemma":0.0006826856,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002915428,"about_ca_topic_score_gemma":0.004173006,"domain_scores_codex":[0.9994919,0.0001474642,0.00002500775,0.00008788425,0.0001568104,0.00009093596],"domain_scores_gemma":[0.9992546,0.0002684487,0.00008098663,0.0001302804,0.0001721099,0.0000935226],"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":[0.00001531005,0.00001597853,0.000285465,0.00002976529,0.000006708527,0.00005436667,0.00006247548,0.005409975,0.0006976217,0.9791977,0.002102375,0.01212218],"study_design_scores_gemma":[0.000009149111,0.00002595104,0.0001709992,0.00003016647,0.000009483026,0.0001517785,0.00005072465,0.1786053,0.001306403,0.8121624,0.007456297,0.00002127979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0609184,0.0004976863,0.8747864,0.0005058885,0.0003069279,0.0001031423,0.0003537617,0.0006507419,0.06187706],"genre_scores_gemma":[0.6930454,0.0007844422,0.2659382,0.00040869,0.0003669722,0.0002864181,0.0008576207,0.0007499745,0.03756225],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01509678,"threshold_uncertainty_score":0.05050379,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0298702935328634,"score_gpt":0.3198436684039755,"score_spread":0.2899733748711121,"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."}}