{"id":"W3105564000","doi":"","title":"A minimaj-preserving crystal on ordered multiset partitions","year":2018,"lang":"en","type":"article","venue":"eScholarship (California Digital Library)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Simons Foundation; National Science Foundation","keywords":"Multiset; Mathematics; Combinatorics; Discrete mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0001085909,0.0003702912,0.0003392277,0.0001362149,0.0003380811,0.001011052,0.0006406205,0.0002064391,0.002393462],"category_scores_gemma":[0.0009280167,0.000325436,0.0002087389,0.0003952011,0.0001713833,0.001840252,0.0003917016,0.000397628,0.001503613],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000344563,"about_ca_system_score_gemma":0.00008357385,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002582248,"about_ca_topic_score_gemma":0.000002775087,"domain_scores_codex":[0.9978344,0.00008292965,0.0004974533,0.0005235065,0.0004792302,0.0005824617],"domain_scores_gemma":[0.9982971,0.0004010096,0.0001607209,0.0007313232,0.00007612713,0.0003337075],"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":[0.0007997644,0.001075862,0.01506357,0.0001917914,0.0002674392,0.0000809818,0.0003381335,0.00000602922,0.0003964011,0.8641751,0.1139369,0.003668043],"study_design_scores_gemma":[0.0008391723,0.0002580418,0.0007147388,0.0001176874,0.00002288608,0.000009866334,0.00004837083,0.0001234426,0.001690062,0.9200934,0.07564943,0.0004329126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9463795,0.00003211959,0.0002866359,0.000637349,0.0004863787,0.0003874685,0.001485989,0.0006091759,0.04969537],"genre_scores_gemma":[0.9952522,0.000002347268,0.00187116,0.0005421857,0.0007125782,0.00004294836,0.0001628018,0.0001169374,0.001296849],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05591829,"threshold_uncertainty_score":0.9999198,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03325404600442412,"score_gpt":0.266403920388765,"score_spread":0.2331498743843409,"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."}}