{"id":"W4312652474","doi":"10.23952/asvao.4.2022.2.02","title":"A sequential formula for the $\\varepsilon$-subdifferential of multi-composed functions via a perturbation approach with an application to location problems","year":2022,"lang":"en","type":"article","venue":"Applied Set-Valued Analysis and Optimization","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Subderivative; Perturbation (astronomy); Mathematics; Applied mathematics; Mathematical optimization; Calculus (dental); Pure mathematics; Physics; Geometry; Regular polygon; Convex optimization; Medicine; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009410191,0.0002216245,0.000403729,0.0003305324,0.0007064238,0.00006467536,0.0002251635,0.00007187862,0.00004201546],"category_scores_gemma":[0.00006076726,0.0001680955,0.0001128658,0.001946509,0.00006901762,0.0001227401,0.0000909918,0.0001462766,4.350459e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001086575,"about_ca_system_score_gemma":0.0000392471,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001103427,"about_ca_topic_score_gemma":0.00003007287,"domain_scores_codex":[0.9980581,0.0001924804,0.0005505907,0.000544009,0.0004409849,0.0002137998],"domain_scores_gemma":[0.998364,0.0002398508,0.0005011344,0.0005132281,0.0002956714,0.00008611437],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002883633,0.000390937,0.0000684418,0.00009378511,0.0005416842,2.298305e-8,0.001682684,0.9801702,0.002346891,0.009988689,0.00001450782,0.004413772],"study_design_scores_gemma":[0.001003839,0.0002334893,0.00007170918,0.000003745957,0.002062826,0.000001780203,0.001287568,0.9895629,0.0003239415,0.005185784,0.00004546815,0.0002169725],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.004425108,0.000017105,0.9926285,0.00007271886,0.00003537584,0.00263816,0.00004701641,0.00007645557,0.00005960429],"genre_scores_gemma":[0.4976813,0.000002458748,0.4994196,0.00004723707,0.00002825383,0.00214339,0.0006062762,0.00002903144,0.00004238909],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4932562,"threshold_uncertainty_score":0.6854737,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05344380714554322,"score_gpt":0.3093774087702117,"score_spread":0.2559336016246685,"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."}}