{"id":"W4328023177","doi":"10.3934/naco.2023011","title":"Optimality conditions and constraint qualifications for cardinality constrained optimization problems","year":2023,"lang":"en","type":"article","venue":"Numerical Algebra Control and Optimization","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Linear subspace; Cardinality (data modeling); Mathematics; Constraint (computer-aided design); Subspace topology; Bounded function; Feasible region; Mathematical optimization; Metric (unit); Set (abstract data type); Computer science; Pure mathematics","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":[],"consensus_categories":[],"category_scores_codex":[0.0006088638,0.0002185253,0.0003586686,0.0002300535,0.0005684631,0.0003372737,0.0001945903,0.000124651,0.0000577363],"category_scores_gemma":[0.0002905065,0.0002106224,0.0001066985,0.001012134,0.0001809933,0.0006094166,0.00006597816,0.00009323748,0.000005848096],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003474677,"about_ca_system_score_gemma":0.00009280741,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000261955,"about_ca_topic_score_gemma":0.000001386859,"domain_scores_codex":[0.9981322,0.0001823762,0.0005281435,0.000601008,0.0002517361,0.0003045129],"domain_scores_gemma":[0.9983225,0.0005122432,0.0002291863,0.000269013,0.0004475414,0.0002194678],"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":[0.00001107116,0.00004867178,0.0003676475,0.00002208627,0.00007617801,4.782991e-7,0.00012518,0.8640553,0.00002992838,0.1339877,0.0001610794,0.001114718],"study_design_scores_gemma":[0.001461619,0.00006789535,0.00130068,0.00001011721,0.00008641396,0.000009060723,0.00006838741,0.9926484,0.00000505434,0.003834442,0.0002550021,0.0002528837],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0001744986,0.00006140746,0.9880397,0.009952437,0.00009283482,0.000742778,0.0001896322,0.000412313,0.0003343599],"genre_scores_gemma":[0.6534261,0.0001827611,0.3443646,0.0008461869,0.00006682314,0.0002323098,0.0007603106,0.00001886188,0.000102083],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6532515,"threshold_uncertainty_score":0.8588932,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01797478480038908,"score_gpt":0.2632299106870835,"score_spread":0.2452551258866944,"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."}}