{"id":"W3206978967","doi":"10.2140/agt.2023.23.2895","title":"Bifiltrations and persistence paths for 2–Morsefunctions","year":2023,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke; University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Homotopy; Morse code; Persistent homology; Filtration (mathematics); Pure mathematics; Morse theory; Path (computing); Persistence (discontinuity); Homology (biology); Topology (electrical circuits); Combinatorics; Algorithm; Computer science","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":[0.0005761478,0.0003274619,0.0002894994,0.002048743,0.001290475,0.001975726,0.0004004663,0.0005897434,0.00647398],"category_scores_gemma":[0.001608241,0.0002038697,0.0005081139,0.0005579393,0.001784117,0.00325519,0.001766287,0.001064397,0.0004303205],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007531723,"about_ca_system_score_gemma":0.0002924426,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008651232,"about_ca_topic_score_gemma":0.000612496,"domain_scores_codex":[0.9996799,0.00004384454,0.00001795728,0.00006077466,0.00008769815,0.0001097574],"domain_scores_gemma":[0.9992353,0.0002189637,0.0001427419,0.00007041326,0.0001039322,0.0002286766],"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":[0.00002802542,0.00001918066,0.001392578,0.00002321178,0.000004770579,0.0001879752,0.0004956598,0.000821215,0.003377535,0.9846696,0.0003026919,0.008677682],"study_design_scores_gemma":[0.00001534565,0.0001158644,0.005333053,0.00003564522,0.00001398986,0.0005920886,0.0006585203,0.01997742,0.003788092,0.962511,0.006921145,0.00003782332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9108129,0.0004024656,0.07003594,0.0003165942,0.0000777222,0.00002768391,0.0001354936,0.0001245895,0.0180665],"genre_scores_gemma":[0.9845842,0.0002206993,0.006885294,0.00006612472,0.00006358043,0.00002950078,0.0001249988,0.00003357622,0.007992113],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00647398,"threshold_uncertainty_score":0.02165765,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04075622234244092,"score_gpt":0.2620199685091438,"score_spread":0.2212637461667029,"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."}}