{"id":"W1181491422","doi":"","title":"Path Tableaux and the Combinatorics of the Immanant Function","year":2013,"lang":"en","type":"dissertation","venue":"UWSpace (University of Waterloo)","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Waterloo; Government of Ontario","keywords":"Generalization; Algebraic combinatorics; Class (philosophy); Mathematics; Combinatorics; Algebraic number; Combinatorial explosion; Path (computing); Algebra over a field; Combinatorial algorithms; Function (biology); Combinatorial principles; Computer science; Pure mathematics","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":[],"consensus_categories":[],"category_scores_codex":[0.000297445,0.0002457924,0.0006004485,0.00008250269,0.0002580895,0.00001561437,0.0005289402,0.0002542112,0.00004750189],"category_scores_gemma":[0.0001678268,0.0001634614,0.0001961416,0.0002340413,0.0002665218,0.0001470027,0.0001669828,0.0003265647,0.000007236483],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005903838,"about_ca_system_score_gemma":0.00006484921,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003395436,"about_ca_topic_score_gemma":0.00135649,"domain_scores_codex":[0.9987903,0.0001275078,0.0002370791,0.0002204474,0.0004294387,0.0001952436],"domain_scores_gemma":[0.997718,0.000350688,0.0009006429,0.0006484848,0.0003382917,0.00004382687],"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":[0.0003215359,0.0001679226,0.00005422409,0.002177774,0.0002552214,0.000002170703,0.06969099,0.000004529244,0.0008076456,0.9233025,0.002752632,0.000462787],"study_design_scores_gemma":[0.002276619,0.0001102985,0.0005284818,0.0005410162,0.0007528713,0.000002247697,0.1061876,0.0003213452,0.001154354,0.8875954,0.0002678081,0.0002620672],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9963983,0.0002017069,0.0001252496,0.0003122063,0.00112964,0.0008909442,0.00001273691,0.00003532208,0.0008938957],"genre_scores_gemma":[0.5263482,0.0004012831,0.002013779,0.00001213036,0.00005127476,0.000004297364,0.00003916708,0.00008377439,0.4710461],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4701522,"threshold_uncertainty_score":0.6665761,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01081849126376969,"score_gpt":0.2052269510042523,"score_spread":0.1944084597404826,"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."}}