{"id":"W4221124629","doi":"10.4171/ifb/470","title":"The average-distance problem with an Euler elastica penalization","year":2022,"lang":"en","type":"article","venue":"Interfaces and Free Boundaries Mathematical Analysis Computation and Applications","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada; Lakehead University; National Science Foundation","keywords":"Euler's formula; Mathematics; Applied mathematics; Computer science; Mathematical optimization; Mathematical analysis","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":[0.002241979,0.001780116,0.002408063,0.0009201589,0.0006806468,0.002086786,0.002896718,0.004512386,0.004669433],"category_scores_gemma":[0.00505396,0.0007313034,0.001353982,0.0006515405,0.002313849,0.00302383,0.003851148,0.002458264,0.0006208707],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001717843,"about_ca_system_score_gemma":0.001605244,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004500879,"about_ca_topic_score_gemma":0.00296429,"domain_scores_codex":[0.9992631,0.0002339326,0.00002903537,0.0002017391,0.0001646892,0.0001073577],"domain_scores_gemma":[0.9982867,0.001072359,0.0001384023,0.0001158636,0.0001643398,0.0002223879],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002386332,0.00009980943,0.0009524732,0.000289755,0.00009408492,0.0002528349,0.00008946894,0.8441702,0.002020974,0.1330023,0.003005502,0.01578386],"study_design_scores_gemma":[0.00001250265,0.0000292644,0.00008563832,0.00001366443,0.000006064815,0.00002633408,0.00001289371,0.9791068,0.0002687488,0.01985025,0.0005777793,0.00001003545],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04800403,0.0008172421,0.9394311,0.001954279,0.0001786944,0.00006965816,0.0002498983,0.0001442402,0.009150849],"genre_scores_gemma":[0.6141229,0.000861889,0.3406813,0.0008334938,0.0004170256,0.0005655323,0.0009052404,0.0005938552,0.0410188],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004669433,"threshold_uncertainty_score":0.01562077,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01854761620811819,"score_gpt":0.2788962027518118,"score_spread":0.2603485865436936,"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."}}