{"id":"W4381681592","doi":"10.1007/s41468-023-00128-7","title":"Geometry of the matching distance for 2D filtering functions","year":2023,"lang":"en","type":"article","venue":"Journal of Applied and Computational Topology","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec en Abitibi-Témiscamingue","funders":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni; Kungliga Tekniska Högskolan; Knut och Alice Wallenbergs Stiftelse; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Matching (statistics); Grid; Manifold (fluid mechanics); Pareto principle; Computer science; Algorithm; Geometry; Mathematics; Mathematical optimization; Statistics; Engineering","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001548539,0.0004434663,0.0007392241,0.002640241,0.0009074869,0.002793728,0.0009217603,0.001223946,0.003804772],"category_scores_gemma":[0.005208039,0.0003033596,0.0005686372,0.001144081,0.001883162,0.002555456,0.001886791,0.0009118068,0.0006999209],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001674608,"about_ca_system_score_gemma":0.0004343791,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001229375,"about_ca_topic_score_gemma":0.0004691305,"domain_scores_codex":[0.9991753,0.0002043716,0.00004486607,0.0001875518,0.0002623803,0.00012549],"domain_scores_gemma":[0.9980916,0.0006837631,0.0003981112,0.0002202075,0.0003729407,0.0002333174],"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":[0.0001685797,0.00007409931,0.002728275,0.0000593836,0.00003322159,0.0002297781,0.0002066825,0.05256061,0.00609733,0.9126444,0.0009305718,0.024267],"study_design_scores_gemma":[0.00003797095,0.0001759106,0.003318239,0.00003151366,0.00001715871,0.0004372143,0.0001878659,0.4907153,0.004175167,0.4967654,0.004085509,0.00005269638],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4820437,0.0003361851,0.5017697,0.0004093355,0.00005729531,0.00006355915,0.000229053,0.0002413688,0.01484984],"genre_scores_gemma":[0.9570407,0.0001801299,0.0373669,0.0001107608,0.00004869185,0.00005981717,0.0001838835,0.00006038258,0.004948827],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003804772,"threshold_uncertainty_score":0.01272821,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01714319630556364,"score_gpt":0.2565659469111051,"score_spread":0.2394227506055414,"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."}}