{"id":"W4413010912","doi":"10.1007/s40065-025-00552-w","title":"Bounds for the value function and optimal control in homing problems","year":2025,"lang":"en","type":"article","venue":"Arabian Journal of Mathematics","topic":"Guidance and Control Systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Polytechnique Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homing (biology); Mathematics; Value (mathematics); Bellman equation; Function (biology); Control (management); Combinatorics; Mathematical optimization; Statistics; Computer science; Artificial intelligence; Biology","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006926804,0.002723903,0.002572902,0.003517318,0.001300199,0.005967093,0.002998273,0.00306224,0.006803094],"category_scores_gemma":[0.03742686,0.0009330533,0.0018443,0.002190716,0.00501854,0.007491808,0.005381739,0.008106399,0.0007744771],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00291717,"about_ca_system_score_gemma":0.001831012,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00347811,"about_ca_topic_score_gemma":0.002188755,"domain_scores_codex":[0.9971164,0.001363625,0.0001329977,0.0003465129,0.0006458797,0.0003944547],"domain_scores_gemma":[0.9718232,0.02332795,0.00098188,0.0007413708,0.002159513,0.000966027],"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":[0.0001674915,0.00008172246,0.0003967008,0.0003947518,0.00008371825,0.00008474742,0.0002807176,0.1200093,0.001146526,0.8481277,0.003356139,0.02587061],"study_design_scores_gemma":[0.00001928211,0.00006334353,0.0002845457,0.0002237771,0.0000333838,0.00003715898,0.00009250129,0.4190809,0.0004523887,0.5764191,0.003258914,0.00003483039],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01878115,0.01042628,0.9329985,0.002638013,0.0004811856,0.00005893153,0.0001677465,0.0002070526,0.03424111],"genre_scores_gemma":[0.7990944,0.01300835,0.1543508,0.001231729,0.001642317,0.0006968066,0.0006501955,0.0005814591,0.02874401],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006926804,"threshold_uncertainty_score":0.0366329,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007150410515979818,"score_gpt":0.2051770865539007,"score_spread":0.1980266760379209,"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."}}