{"id":"W7128612048","doi":"10.1109/focs63196.2025.00049","title":"Factorization norms and an inverse theorem for MaxCut","year":2025,"lang":"","type":"article","venue":"","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Education; National Science Foundation","keywords":"Bounded function; Conjecture; Inverse; Graph; Boolean function; Operator (biology); Norm (philosophy)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001230117,0.0008853968,0.0007169689,0.0009769083,0.001193404,0.001923538,0.001265093,0.0009070336,0.009855089],"category_scores_gemma":[0.009656462,0.0004567043,0.001012183,0.0008731618,0.00257271,0.005575968,0.00199429,0.002894446,0.001531382],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001025395,"about_ca_system_score_gemma":0.0007109244,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008199508,"about_ca_topic_score_gemma":0.0009295882,"domain_scores_codex":[0.9986192,0.000212776,0.00005235956,0.0003532548,0.0005072955,0.0002551187],"domain_scores_gemma":[0.9940964,0.00312656,0.0006070663,0.0009688147,0.0007625697,0.0004385286],"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":[0.0002377242,0.0000788604,0.00127962,0.0001249004,0.00001906217,0.0002166434,0.0003053198,0.01190829,0.009997728,0.9382643,0.005929511,0.03163811],"study_design_scores_gemma":[0.00002848908,0.0001147182,0.0004876849,0.0000294029,0.00001509205,0.0004202794,0.00009680587,0.06334464,0.009057217,0.9201041,0.006270006,0.00003142095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1873418,0.0007564242,0.7604658,0.001881276,0.0002977971,0.00009487028,0.0005449883,0.0009146638,0.04770232],"genre_scores_gemma":[0.8511471,0.0004303788,0.1362266,0.0009744596,0.0003640897,0.0001745771,0.0007435133,0.00039711,0.009542276],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.009855089,"threshold_uncertainty_score":0.03296858,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03021612772848356,"score_gpt":0.3302459552426208,"score_spread":0.3000298275141373,"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."}}