{"id":"W4389421318","doi":"10.48550/arxiv.2312.02457","title":"Linear Weightings and Deformations of Vector Bundles","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Vector bundle; Linearization; Mathematics; Differential (mechanical device); Pure mathematics; Construct (python library); Filtration (mathematics); Deformation (meteorology); Differential operator; Interpolation (computer graphics); Bundle; Mathematical analysis; Operator (biology); Nonlinear system; Computer science; Physics; Classical mechanics; Motion (physics)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008603049,0.0005415753,0.0003167372,0.001658611,0.0009388886,0.001636965,0.0006282401,0.0005776638,0.004496023],"category_scores_gemma":[0.001470805,0.000260924,0.0004706238,0.0009836494,0.002399221,0.005928079,0.002315682,0.001156493,0.000584414],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000890763,"about_ca_system_score_gemma":0.0002791678,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000569489,"about_ca_topic_score_gemma":0.0004514688,"domain_scores_codex":[0.9993001,0.0001417461,0.00004100841,0.0001567683,0.0002295876,0.0001307994],"domain_scores_gemma":[0.9992624,0.0001127675,0.0001527582,0.0001357567,0.0001416663,0.0001947765],"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":[0.00001072936,0.0000122528,0.0003877014,0.0000176278,0.000006186354,0.00006705967,0.0002698111,0.0009616757,0.002787794,0.9884255,0.0003121476,0.006741561],"study_design_scores_gemma":[0.000005478183,0.00004809154,0.0009233011,0.00001619145,0.000008229626,0.0002186283,0.0002316971,0.00938295,0.002482387,0.9757731,0.01088862,0.00002139065],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5169244,0.001156654,0.4242366,0.001316575,0.0002477868,0.00006365771,0.0002007993,0.0004264573,0.05542708],"genre_scores_gemma":[0.9518816,0.0005964928,0.02827923,0.0001921524,0.0002099942,0.0000503752,0.0001356793,0.0001376539,0.01851675],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004496023,"threshold_uncertainty_score":0.01504064,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1227146606588236,"score_gpt":0.2389409128144087,"score_spread":0.1162262521555851,"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."}}