{"id":"W4404570257","doi":"10.48550/arxiv.2411.10880","title":"Collective field theory of gauged multi-matrix models: Integrating out off-diagonal strings","year":2024,"lang":"en","type":"preprint","venue":"Open MIND","topic":"Distributed and Parallel Computing Systems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Science and Technology Facilities Council; Natural Sciences and Engineering Research Council of Canada; McGill University","keywords":"Diagonal; Field (mathematics); Matrix (chemical analysis); Diagonal matrix; Theoretical physics; Statistical physics; Mathematics; Computer science; Physics; Mathematical economics; Pure mathematics; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007080953,0.0009085693,0.001188669,0.0008850279,0.001101663,0.001849556,0.002010993,0.002295804,0.004011859],"category_scores_gemma":[0.001150098,0.0004387008,0.001282899,0.0006073548,0.002189637,0.002557811,0.001429713,0.001502655,0.0005962995],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001034162,"about_ca_system_score_gemma":0.0008045362,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002671967,"about_ca_topic_score_gemma":0.001916668,"domain_scores_codex":[0.9996192,0.0001591593,0.00001358829,0.0000394582,0.0001051147,0.00006345638],"domain_scores_gemma":[0.999357,0.000180601,0.00009002746,0.0001358283,0.00008573374,0.0001507246],"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":[0.00005232829,0.0001008618,0.0002323424,0.00005598128,0.00002889959,0.0003133508,0.0002184731,0.0683699,0.006388777,0.9219707,0.0007434545,0.001524887],"study_design_scores_gemma":[0.00007640529,0.00005681279,0.0001526261,0.00001682474,0.00001232706,0.0001130121,0.0001030973,0.6960074,0.0008837936,0.3015845,0.0009671876,0.00002613375],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6969213,0.00100667,0.2318435,0.002972779,0.000414439,0.00008306919,0.0001277153,0.000555309,0.06607535],"genre_scores_gemma":[0.9608418,0.0003799068,0.024622,0.0003190392,0.0001640074,0.0001275068,0.00008896762,0.0001525042,0.01330422],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004011859,"threshold_uncertainty_score":0.01342106,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08674372881498185,"score_gpt":0.343705297798966,"score_spread":0.2569615689839841,"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."}}