{"id":"W4399758678","doi":"10.12775/tmna.2025.020","title":"Analyzing multifiltering functions using multiparameter Discrete Morse Theory","year":2025,"lang":"en","type":"preprint","venue":"Topological Methods in Nonlinear Analysis","topic":"Aerosol Filtration and Electrostatic Precipitation","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Morse code; Mathematics; Discrete Morse theory; Mathematical economics; Morse theory; Computer science; Applied mathematics; Pure mathematics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00174692,0.0004579742,0.001044272,0.00105725,0.0001182546,0.0001142065,0.0003442885,0.0005468954,0.0003734851],"category_scores_gemma":[0.0008735229,0.0004225394,0.0006470862,0.001722175,0.0001250522,0.0001005732,0.0002894921,0.001220347,0.000008707598],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002775089,"about_ca_system_score_gemma":0.00004373607,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001391816,"about_ca_topic_score_gemma":0.0001289107,"domain_scores_codex":[0.9965889,0.001149427,0.0009565643,0.0006657012,0.0001707285,0.0004686303],"domain_scores_gemma":[0.9977722,0.001233201,0.0001536981,0.0006460839,0.00008683673,0.0001079919],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00003020201,0.00003802788,0.00201501,0.0001055422,0.001293413,0.000006184659,0.0003037992,0.9817216,0.004133721,0.0001748847,0.000006805089,0.01017084],"study_design_scores_gemma":[0.0001677352,0.0000134231,0.001148748,0.00005492586,0.00139666,8.671788e-7,0.0001638287,0.9905342,0.001880218,0.004149446,0.00006494539,0.0004250052],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0831461,0.0003632531,0.9144704,0.00004627497,0.0004590773,0.0002684965,0.0001595203,0.0003095824,0.0007773192],"genre_scores_gemma":[0.1146424,0.00009981322,0.8841259,0.00007556453,0.0001085769,0.00007590188,0.0003320014,0.00002692761,0.0005128657],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.03149635,"threshold_uncertainty_score":0.9998226,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05619482221590168,"score_gpt":0.4099356361009742,"score_spread":0.3537408138850725,"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."}}