{"id":"W4411091250","doi":"10.1103/physrevx.15.021085","title":"Phase Diagram of Extensive-Rank Symmetric Matrix Denoising beyond Rotational Invariance","year":2025,"lang":"en","type":"article","venue":"Physical Review X","topic":"Optical Polarization and Ellipsometry","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Core Research for Evolutional Science and Technology; Japan Science and Technology Agency; European Commission; Natural Sciences and Engineering Research Council of Canada; H2020 European Research Council; Canada Research Chairs; Japan Society for the Promotion of Science; National Institute of Advanced Industrial Science and Technology","keywords":"Rotational invariance; Rank (graph theory); Matrix (chemical analysis); Phase diagram; Statistical physics; Rotation (mathematics); Theoretical physics; Physics; Mathematics; Phase (matter); Materials science; Quantum mechanics; Combinatorics; Geometry","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":[0.0008846928,0.0003693829,0.0005114197,0.001074708,0.000631699,0.001527236,0.0008297283,0.001116832,0.00683817],"category_scores_gemma":[0.003185427,0.00032555,0.0004328912,0.0004513296,0.001742759,0.002324821,0.0009151432,0.001090055,0.0009338644],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006473677,"about_ca_system_score_gemma":0.0005656575,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001329254,"about_ca_topic_score_gemma":0.001041228,"domain_scores_codex":[0.9996716,0.0001017174,0.000012559,0.00006562391,0.00009424671,0.00005432699],"domain_scores_gemma":[0.9986326,0.0006148958,0.0002073149,0.0001426149,0.0002293756,0.00017317],"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":[0.00006820841,0.00001697549,0.0002767852,0.00005065088,0.00001111048,0.0001024057,0.00009055548,0.01513471,0.004551304,0.9720544,0.001852397,0.00579051],"study_design_scores_gemma":[0.00002900037,0.00004568555,0.000679881,0.00003949948,0.000007819664,0.0001696995,0.00005636675,0.312294,0.001669615,0.6813117,0.003656917,0.00003986924],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1476928,0.002879954,0.7491875,0.003281975,0.0002560457,0.0001017195,0.0005434364,0.0007474343,0.09530915],"genre_scores_gemma":[0.9033002,0.001624513,0.07616008,0.0007874122,0.000266954,0.0001357928,0.0003926838,0.0003557027,0.01697654],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00683817,"threshold_uncertainty_score":0.02287596,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01105233726258095,"score_gpt":0.3216209312084433,"score_spread":0.3105685939458623,"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."}}