{"id":"W4394683434","doi":"10.1080/10586458.2024.2336074","title":"Triangular Diagonal Harmonics Conjectures","year":2024,"lang":"en","type":"article","venue":"Experimental Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Diagonal; Harmonics; Terminology; Harmonic; Algebra over a field; Pure mathematics; Combinatorics; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004443056,0.0004993879,0.0006116965,0.0001754926,0.0001576702,0.0002609177,0.0004734647,0.0001926477,0.0007391952],"category_scores_gemma":[0.0005530912,0.0004274962,0.0003148317,0.0003700072,0.0001523909,0.0002919276,0.0002172833,0.0003769605,0.0004488558],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002624842,"about_ca_system_score_gemma":0.00009492328,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001626324,"about_ca_topic_score_gemma":5.604676e-7,"domain_scores_codex":[0.9973976,0.0000609429,0.0007990763,0.0004845648,0.0007244581,0.0005333527],"domain_scores_gemma":[0.9975847,0.001283982,0.0001531437,0.0007236446,0.00006200598,0.0001925295],"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":[0.00001199742,0.0005905983,0.000001031099,0.0005732847,0.0001375675,0.0001123337,0.005452656,0.000003910152,0.01635278,0.9679052,0.008490761,0.0003678749],"study_design_scores_gemma":[0.0005306222,0.0001386277,5.389142e-7,0.0003336775,0.00007696758,0.0001440957,0.001642056,0.003515153,0.1466574,0.8394885,0.006983778,0.0004885625],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6492075,0.02734358,0.2332624,0.001060542,0.01237208,0.004764343,0.0001494667,0.007287807,0.06455232],"genre_scores_gemma":[0.7970113,0.000033288,0.1996193,0.0001016692,0.0006034778,0.0002328991,0.00001175489,0.0002611491,0.002125168],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1478038,"threshold_uncertainty_score":0.9998177,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0546230013790277,"score_gpt":0.3792979448021801,"score_spread":0.3246749434231524,"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."}}