{"id":"W4297021167","doi":"10.1093/imrn/rnac258","title":"Tiered Trees and Theta Operators","year":2022,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Conjecture; Indecomposable module; Homogeneous; Torus; Theta function; Combinatorics; Function (biology); Pure mathematics; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006719233,0.0002737091,0.0004003439,0.001848041,0.0007649306,0.001823513,0.0006276386,0.0006045302,0.004075816],"category_scores_gemma":[0.001696154,0.0001666157,0.0004172157,0.001335732,0.001982849,0.003687694,0.001105968,0.001015243,0.0003319308],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008938288,"about_ca_system_score_gemma":0.000369528,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001028188,"about_ca_topic_score_gemma":0.001195454,"domain_scores_codex":[0.999545,0.00009079997,0.0000376422,0.00008175759,0.0001231784,0.0001214695],"domain_scores_gemma":[0.9989631,0.0003561394,0.0001352363,0.000153499,0.0002099192,0.0001820253],"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":[0.00001144625,0.000007918942,0.0006872414,0.000009090149,0.000001506654,0.00005020654,0.0001071673,0.0006749067,0.001213628,0.9943219,0.0002801741,0.002634728],"study_design_scores_gemma":[0.000006026321,0.00002512347,0.0009078265,0.00001937877,0.000005843301,0.0002359919,0.0002427333,0.02002946,0.001996181,0.9730631,0.003454073,0.00001416921],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7592035,0.000624579,0.184747,0.0008472292,0.000207906,0.00005292603,0.0003471399,0.0002882728,0.05368153],"genre_scores_gemma":[0.9840365,0.0001188808,0.01145369,0.000110318,0.00005254894,0.00001695655,0.00007230864,0.00001955459,0.004119227],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004075816,"threshold_uncertainty_score":0.01363498,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1473862739651994,"score_gpt":0.424379572339102,"score_spread":0.2769932983739026,"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."}}