{"id":"W4241675901","doi":"10.1002/0471221139.ch2","title":"Mathematical Foundations","year":2002,"lang":"en","type":"other","venue":"","topic":"Neural Networks Stability and Synchronization","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Notation; Construct (python library); Stability (learning theory); Computer science; Matrix (chemical analysis); Function (biology); Dynamical systems theory; Algebra over a field; Mathematics; Applied mathematics; Calculus (dental); Theoretical computer science; Pure mathematics; Programming language; Arithmetic; Physics; Machine learning","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00003687119,0.00009315127,0.0001080268,0.00006285949,0.00003108731,0.00009282542,0.0003863511,0.000102443,0.01884246],"category_scores_gemma":[0.00001417455,0.00007604065,0.00003703687,0.000167088,0.00002524987,0.00007871634,0.00008597321,0.00007019466,0.00259689],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001495756,"about_ca_system_score_gemma":0.00001059565,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000533605,"about_ca_topic_score_gemma":0.00001733516,"domain_scores_codex":[0.9994122,0.00002352451,0.0001024167,0.0002140591,0.0001341201,0.0001137114],"domain_scores_gemma":[0.9993989,0.00003489457,0.00004253832,0.0004742977,0.00001170217,0.00003767058],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[2.162022e-8,0.00002224315,0.000001030102,0.00001363125,0.000003149759,0.000001002377,0.00001244988,0.000005904394,1.547913e-7,0.3022712,0.6910912,0.00657793],"study_design_scores_gemma":[0.00004479605,0.000009416648,0.000001394616,0.00002816923,0.000003007127,0.000005043311,7.209084e-7,0.0947526,0.000001663248,0.01714026,0.8878821,0.0001308883],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[2.69118e-8,0.00003058911,0.4953363,0.0002917154,0.0001018089,0.00006188557,4.714939e-7,0.0003038754,0.5038733],"genre_scores_gemma":[0.00008408421,0.00002811312,0.07092861,0.0001339464,0.0001377509,0.00000690046,0.000004889172,0.00005505224,0.9286206],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.4247473,"threshold_uncertainty_score":0.9981797,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02478823792907413,"score_gpt":0.2476251529734381,"score_spread":0.2228369150443639,"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."}}