{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035356,0.0001878271,0.0002157996,0.0001210795,0.0003719947,0.0001097461,0.0001641938,0.0001613071,0.0002821803],"category_scores_gemma":[0.0001402082,0.000161019,0.00007387334,0.0002897831,0.0001549213,0.0002265283,0.0000604249,0.00008800819,0.00001294961],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001954357,"about_ca_system_score_gemma":0.00005056587,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006233428,"about_ca_topic_score_gemma":0.00005373811,"domain_scores_codex":[0.9990262,0.00005397812,0.0003197698,0.0003231478,0.00006953216,0.0002073783],"domain_scores_gemma":[0.9988295,0.0004162971,0.00009568527,0.0004426517,0.0001231158,0.00009276204],"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":[0.00003894366,0.0002162433,0.0003341477,0.0002071374,0.00006933741,7.667762e-8,0.0007783701,0.000002209393,0.001540444,0.9915023,0.001243093,0.00406772],"study_design_scores_gemma":[0.000566005,0.00007881809,0.0001505041,0.00003984607,0.0002144017,6.230609e-7,0.001346196,0.00444553,0.005618124,0.9786735,0.008691087,0.0001754114],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2506323,0.00005358937,0.7116677,0.0009474842,0.0003006296,0.001928312,0.0001132945,0.0001355338,0.03422111],"genre_scores_gemma":[0.9726389,0.00008131636,0.01284519,0.0003972204,0.00006648859,0.0001459828,0.00004963871,0.00002163644,0.01375365],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7220066,"threshold_uncertainty_score":0.6566163,"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."}}