{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005330113,0.00009289245,0.0002095538,0.0001520759,0.00009499421,0.0001524966,0.0009066429,0.00006532574,0.0001500723],"category_scores_gemma":[0.0005944878,0.00006293923,0.0001259554,0.001338801,0.00005265022,0.0001118113,0.0003917475,0.00008284652,0.0001688479],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002241033,"about_ca_system_score_gemma":0.00001892421,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003176197,"about_ca_topic_score_gemma":0.00001763126,"domain_scores_codex":[0.999121,0.00006287877,0.0002135387,0.0002328547,0.0001719882,0.0001978155],"domain_scores_gemma":[0.9989147,0.0004070589,0.00004636945,0.0005230621,0.00005742177,0.00005145373],"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":[0.00000152006,0.0002883428,0.002891922,0.00002351618,0.00007955039,0.00001026846,0.0001342124,0.00002970818,0.000009849967,0.9829525,0.006649499,0.006929072],"study_design_scores_gemma":[0.001205104,0.0005015112,0.1154422,0.00009838829,0.0002381396,0.00004456696,0.0008585493,0.1885467,0.0006441572,0.5850257,0.1060969,0.00129796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01784527,0.0002029118,0.9519708,0.002729547,0.0002000316,0.00008034257,0.00001284229,0.0001595031,0.02679874],"genre_scores_gemma":[0.8933481,0.00004860782,0.09169173,0.00115861,0.00002004623,0.000011221,0.00001478236,0.000003259122,0.01370367],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8755028,"threshold_uncertainty_score":0.2566587,"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."}}