{"id":"W4320880544","doi":"10.21203/rs.3.rs-2256932/v1","title":"Models of Motion in Abstract Linear Algebra","year":2023,"lang":"en","type":"preprint","venue":"Research Square","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Motion (physics); Algebra over a field; Linear algebra; Mathematics; Computer science; Pure mathematics; Geometry; Artificial intelligence","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","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.002992905,0.0002515898,0.0005578641,0.0008993699,0.00005872202,0.00003278162,0.0007524161,0.0005636699,0.000123629],"category_scores_gemma":[0.003041912,0.0002584105,0.0001779971,0.0005894068,0.0001677246,0.0001307835,0.001598436,0.002745163,0.0001127436],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003622579,"about_ca_system_score_gemma":0.0002702996,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002122518,"about_ca_topic_score_gemma":0.0001801882,"domain_scores_codex":[0.9961177,0.0002778721,0.0007717852,0.0006428519,0.001552075,0.0006377226],"domain_scores_gemma":[0.995993,0.001733645,0.0002218731,0.001334214,0.0006060402,0.0001112602],"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":[0.0000798554,0.0007225429,0.0008324878,0.0131243,0.0001026921,0.0001974621,0.002473029,0.02095002,0.0003159882,0.9533422,0.001732594,0.006126821],"study_design_scores_gemma":[0.0002413986,0.00003973237,0.001417819,0.001614216,0.000005276302,8.402981e-7,0.0002901939,0.01049157,0.00114061,0.9845122,0.00005852319,0.0001876546],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9323465,0.0006589164,0.04225596,0.001274464,0.00081781,0.004542161,0.0004344297,0.0005980166,0.01707175],"genre_scores_gemma":[0.9728369,0.0004655667,0.02384831,0.000004133813,0.0003009709,0.0002599483,0.00009923982,0.0001522565,0.002032712],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04049037,"threshold_uncertainty_score":0.9999868,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3291641609988607,"score_gpt":0.493587738054475,"score_spread":0.1644235770556143,"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."}}