{"id":"W1979865967","doi":"10.1007/s004930070030","title":"Approximate Homomorphisms II: Group Homomorphisms","year":2000,"lang":"en","type":"article","venue":"COMBINATORICA","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Homomorphism; Mathematics; Group (periodic table); Combinatorics; Discrete mathematics; Chemistry","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000448048,0.0002947935,0.0003900148,0.0001153541,0.0005454173,0.00005679844,0.0004301769,0.0001580776,0.003787848],"category_scores_gemma":[0.0004090266,0.0002860575,0.0001706543,0.0006677072,0.000169069,0.0002287305,0.0001116696,0.0003007772,0.0007693724],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002483757,"about_ca_system_score_gemma":0.00005886318,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001916428,"about_ca_topic_score_gemma":0.00000224201,"domain_scores_codex":[0.9977852,0.0001126089,0.0005382242,0.0005066977,0.000591145,0.0004661636],"domain_scores_gemma":[0.9981117,0.0004881308,0.0001223118,0.0009331843,0.0001549673,0.0001897356],"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":[0.00008741787,0.001617174,0.00009109988,0.00006560382,0.00005088855,0.00001835156,0.0002738484,0.00001220939,0.0001595024,0.9757494,0.01542342,0.00645111],"study_design_scores_gemma":[0.001468792,0.0003380913,0.0004386866,0.00002933631,0.00005143472,0.00004135932,0.00003494919,0.0009188721,0.0003325507,0.9491032,0.0468486,0.0003941492],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.801879,0.0003686362,0.002975205,0.001722493,0.001302868,0.001375398,0.00009981928,0.001315754,0.1889608],"genre_scores_gemma":[0.983646,0.00003573465,0.005196786,0.0001323393,0.00009669224,0.000163665,0.00005832789,0.00006508528,0.01060531],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.181767,"threshold_uncertainty_score":0.9999592,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03743375855110635,"score_gpt":0.2708912713630195,"score_spread":0.2334575128119132,"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."}}