{"id":"W4283838052","doi":"10.1007/s40819-022-01386-2","title":"A Linear Spline Maximum Entropy Method for Frobenius-Perron Operators of Multi-dimensional Transformations","year":2022,"lang":"en","type":"article","venue":"International Journal of Applied and Computational Mathematics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Prince Edward Island","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Spline (mechanical); Applied mathematics; Piecewise; Piecewise linear function; Linear map; Mathematical analysis; Pure mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.0007131699,0.0001795257,0.0003847556,0.0004099764,0.0002522091,0.00003197254,0.0003435422,0.0000510718,0.0002234914],"category_scores_gemma":[0.0001877101,0.0001713398,0.0002258421,0.0001692315,0.00006534394,0.000155949,0.0001014701,0.0002585858,0.000002219577],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001444491,"about_ca_system_score_gemma":0.0002314869,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003789097,"about_ca_topic_score_gemma":0.000002242833,"domain_scores_codex":[0.9974714,0.00005092037,0.001187406,0.0001532761,0.0009929005,0.0001440939],"domain_scores_gemma":[0.996596,0.001365636,0.0008528918,0.00009824944,0.001002747,0.00008441604],"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":[0.0002862582,0.001540071,0.000009181321,0.00008322108,0.0005511324,0.000002886403,0.001711425,0.2653823,0.003415311,0.7243353,0.0007667092,0.001916253],"study_design_scores_gemma":[0.002126626,0.0001330608,0.00006781294,0.0000351223,0.0001277664,0.0001617276,0.0007789062,0.460902,0.0005197107,0.5342723,0.0007324103,0.0001425596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.06524759,0.00005105643,0.9323359,0.0009375518,0.0004226857,0.0004096562,0.0004331054,0.00001936455,0.0001431049],"genre_scores_gemma":[0.3701935,0.000005840122,0.6293789,0.00009996675,0.0001181956,0.00005212438,0.00009032107,0.00002250319,0.00003856251],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.304946,"threshold_uncertainty_score":0.6987035,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03957152362669392,"score_gpt":0.3466726391197902,"score_spread":0.3071011154930963,"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."}}