{"id":"W4387708094","doi":"10.1007/s10208-023-09623-w","title":"Toward Computational Morse–Floer Homology: Forcing Results for Connecting Orbits by Computing Relative Indices of Critical Points","year":2023,"lang":"en","type":"article","venue":"Foundations of Computational Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Forcing (mathematics); Computability; Partial differential equation; Floer homology; Morse code; Morse theory; Applied mathematics; Mathematical analysis; Pure mathematics; Discrete mathematics; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.001304623,0.0002334516,0.0006273605,0.0006388114,0.0003308517,0.00003273958,0.0002944988,0.0001598526,0.00005378601],"category_scores_gemma":[0.01026649,0.000241914,0.0001850113,0.001074512,0.0003878236,0.0002309114,0.0001504167,0.0001882319,0.0000284672],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005490164,"about_ca_system_score_gemma":0.0001686536,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008559009,"about_ca_topic_score_gemma":0.000001668129,"domain_scores_codex":[0.9971661,0.0001065358,0.001499582,0.0003373307,0.0005384451,0.0003519996],"domain_scores_gemma":[0.9744555,0.02328658,0.0009618565,0.0001927858,0.00102473,0.00007853771],"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":[0.000033574,0.0004556976,0.00008278593,0.0008537963,0.0002205298,0.000002393118,0.006084179,0.03231918,0.00003178753,0.9546512,0.004778505,0.0004863535],"study_design_scores_gemma":[0.001046025,0.0001563822,0.0002645802,0.0001318,0.00009175461,0.00003209448,0.001854835,0.2006006,0.0001447923,0.7954382,0.00006229176,0.0001766197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2721492,0.0000207023,0.7241814,0.00163795,0.00020291,0.0004650607,0.0004467207,0.0001274073,0.0007686496],"genre_scores_gemma":[0.6223517,6.605044e-7,0.3769537,0.00002723405,0.00004018951,0.00001356991,0.0005193086,0.00002640857,0.00006722787],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.3502025,"threshold_uncertainty_score":0.9980705,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08952213081817073,"score_gpt":0.3830744277024426,"score_spread":0.2935522968842719,"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."}}