{"id":"W2603634199","doi":"10.46298/dmtcs.2726","title":"Enumeration of alternating sign matrices of even size (quasi)-invariant under a quarter-turn rotation","year":2009,"lang":"fr","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Enumeration; Invariant (physics); Combinatorics; Sign (mathematics); Quarter (Canadian coin); Mathematical analysis; Mathematical physics; Geography","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":[0.000156347,0.0002522444,0.0002480784,0.0006561136,0.0003118023,0.0007004748,0.0002947753,0.0002268341,0.002680411],"category_scores_gemma":[0.0008487967,0.0001343914,0.0002535351,0.0004780955,0.0005441305,0.0009483402,0.0004245053,0.0002582466,0.0003833861],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002047955,"about_ca_system_score_gemma":0.0003105584,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004136387,"about_ca_topic_score_gemma":0.000629105,"domain_scores_codex":[0.9997965,0.00003440886,0.00001761312,0.00003353817,0.0000633444,0.0000547395],"domain_scores_gemma":[0.9993247,0.0002185963,0.0001718747,0.00009865372,0.0001325345,0.0000536144],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001286502,0.0001859641,0.02550985,0.0005946319,0.0000588447,0.001142594,0.001366102,0.0321169,0.2641932,0.2993659,0.00465702,0.3695224],"study_design_scores_gemma":[0.0001624429,0.001870117,0.02704497,0.0001523957,0.0001391004,0.004670619,0.00193242,0.229483,0.2524236,0.4428284,0.03912358,0.0001695445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9108005,0.0002481189,0.07965678,0.00008090943,0.00003491,0.00002269218,0.0002251953,0.0001328386,0.008797994],"genre_scores_gemma":[0.9611875,0.000285554,0.03297551,0.00004218644,0.00003366673,0.00004033101,0.00054884,0.00003712612,0.004849357],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002680411,"threshold_uncertainty_score":0.008966923,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01503699646526622,"score_gpt":0.2921706979592916,"score_spread":0.2771337014940254,"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."}}