{"id":"W4400173541","doi":"10.1142/s1793525324500298","title":"Hamiltonian fragmentation in dimension four with application to spectral estimators","year":2024,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Courtois Foundation","keywords":"Mathematics; Hamiltonian (control theory); Embedding; Symplectic geometry; Pure mathematics; Combinatorics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034506,0.000075344,0.0002851743,0.001129781,0.00003381245,0.00001620298,0.00005678333,0.00006151572,0.00006373672],"category_scores_gemma":[0.00006945163,0.00005264264,0.00007337862,0.001186189,0.00004621259,0.00007335317,0.00001407937,0.0001476572,0.000004225451],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003594739,"about_ca_system_score_gemma":0.00002551239,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004015719,"about_ca_topic_score_gemma":0.000201673,"domain_scores_codex":[0.9993148,0.0000464909,0.0002938236,0.0001233755,0.0001048421,0.0001166988],"domain_scores_gemma":[0.9995226,0.0001948647,0.0001080969,0.00007441584,0.00003774543,0.00006231108],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.0004138133,0.0004227321,0.6677083,0.0002214699,0.004516016,0.001050361,0.005968138,0.00655415,0.002547547,0.2608433,0.001543651,0.04821052],"study_design_scores_gemma":[0.001690729,0.00179716,0.6165306,0.0001833691,0.005437111,0.001314892,0.002767432,0.02078261,0.001287333,0.3463128,0.001332352,0.000563654],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8781353,0.0002130663,0.11869,0.002762122,0.00005454921,0.00004582705,8.643061e-7,0.000007888644,0.00009043074],"genre_scores_gemma":[0.9847708,0.00002846157,0.01492482,0.00009081218,0.00004658654,0.000002148086,0.000001126443,0.000005155049,0.0001300695],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1066356,"threshold_uncertainty_score":0.2146705,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01272452543026504,"score_gpt":0.3049444377271278,"score_spread":0.2922199122968628,"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."}}