{"id":"W4406213667","doi":"10.3390/math13020208","title":"Persistent Topological Laplacians—A Survey","year":2025,"lang":"en","type":"article","venue":"Mathematics","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":18,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Institute of Allergy and Infectious Diseases; National Institute of General Medical Sciences; Michigan State University Foundation; Bristol-Myers Squibb Canada; Bristol-Myers Squibb; National Institutes of Health; National Science Foundation","keywords":"Topology (electrical circuits); Topological data analysis; Computer science; Mathematics; Combinatorics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001247459,0.000783054,0.0009624482,0.005307385,0.0007804791,0.003179194,0.001213822,0.001049771,0.003079159],"category_scores_gemma":[0.003995104,0.0004485612,0.0008856707,0.004593138,0.001504355,0.005647657,0.001913209,0.001543721,0.001080202],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009251909,"about_ca_system_score_gemma":0.000849599,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008864221,"about_ca_topic_score_gemma":0.0006663866,"domain_scores_codex":[0.9992551,0.0001311253,0.00007603714,0.000207878,0.0002758563,0.00005403325],"domain_scores_gemma":[0.9976337,0.00139222,0.0001710283,0.0002705388,0.0003960835,0.0001364441],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0000437689,0.0001072861,0.003602887,0.002405231,0.0001141885,0.0003840361,0.0007548879,0.009290494,0.00388585,0.5012658,0.0155056,0.46264],"study_design_scores_gemma":[0.00001309551,0.0001522517,0.002901362,0.0007267163,0.00008707601,0.002893224,0.0007587394,0.08794167,0.002394374,0.7027356,0.1992593,0.000136589],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"review","genre_scores_codex":[0.04493854,0.2129336,0.7024865,0.004879857,0.0008758018,0.0001389384,0.00112009,0.001110023,0.03151661],"genre_scores_gemma":[0.4403797,0.3206794,0.2144631,0.001862915,0.004324195,0.0003037003,0.003010848,0.0005864297,0.01438963],"genre_candidate":"review","genre_consensus":null,"teacher_disagreement_score":0.005307385,"threshold_uncertainty_score":0.01030076,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03470002407638952,"score_gpt":0.2771156825517166,"score_spread":0.2424156584753271,"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."}}