{"id":"W4399453644","doi":"10.48550/arxiv.2406.04225","title":"Homology of spectral minimal partitions","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Homology (biology); Mathematics; Combinatorics; Pure mathematics; Biology; Genetics; Amino acid","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":[0.0001593257,0.0002956977,0.000569345,0.0002252144,0.00004932179,0.00001628807,0.0005371522,0.000345825,0.0001596947],"category_scores_gemma":[0.0002197442,0.0003399673,0.0003211332,0.000332083,0.0002253664,0.00004984588,0.001180627,0.0007203785,0.0001216284],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001758112,"about_ca_system_score_gemma":0.0001741232,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001404575,"about_ca_topic_score_gemma":0.00002169822,"domain_scores_codex":[0.9986133,0.00008258301,0.0003572674,0.0005632812,0.00008261792,0.0003009545],"domain_scores_gemma":[0.9981689,0.0004154711,0.0003160572,0.000866309,0.000133579,0.00009967285],"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":[0.00002535317,0.0002081541,0.00006624677,0.0008284625,0.0001714539,0.0002632356,0.0002463447,0.002391886,0.00007987094,0.9947747,0.0009327616,0.00001153823],"study_design_scores_gemma":[0.000265501,0.00007585452,0.00001775312,0.0002042924,0.0004126438,0.0000105005,0.0001558947,0.004436722,0.000770273,0.9932576,0.0001080081,0.0002849831],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9599488,0.0000753953,0.0228467,0.0000731433,0.00138172,0.0004061437,0.00009997554,0.0002828099,0.01488536],"genre_scores_gemma":[0.9918711,0.00004110545,0.005488718,0.000006375354,0.0001339466,0.000002144625,0.000009195,0.00005149135,0.002395944],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03192233,"threshold_uncertainty_score":0.9999052,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1356385337166627,"score_gpt":0.2454383624680643,"score_spread":0.1097998287514016,"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."}}