{"id":"W2890257635","doi":"10.1103/physrevx.9.011042","title":"Spectral Dimension Reduction of Complex Dynamical Networks","year":2019,"lang":"en","type":"article","venue":"Physical Review X","topic":"Complex Systems and Time Series Analysis","field":"Economics, Econometrics and Finance","cited_by":40,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Canada First Research Excellence Fund","keywords":"Complex network; Adjacency matrix; Network dynamics; Eigenvalues and eigenvectors; Dimension (graph theory); Complex system; Reduction (mathematics); Dynamical systems theory; Graph theory; Network science","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001714618,0.0001044063,0.0007333304,0.00003973332,0.00002386437,0.000009747678,0.0001141762,0.00002067433,0.001686696],"category_scores_gemma":[0.00001662439,0.00009965669,0.0003195113,0.0002936265,0.00003007067,0.0000781491,0.00004709674,0.00008959394,0.0007014992],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003597266,"about_ca_system_score_gemma":0.000003497983,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001540798,"about_ca_topic_score_gemma":0.000002471404,"domain_scores_codex":[0.9990412,0.00001762938,0.0004799001,0.0002627485,0.00004052848,0.0001579845],"domain_scores_gemma":[0.9992735,0.00002244037,0.0002949378,0.0003347404,0.0000259225,0.00004840999],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001495754,0.0002353401,0.004015747,0.0009238769,0.0001362267,6.076896e-7,0.00004211719,0.0009170101,0.0009577106,0.9885355,0.001006407,0.003214464],"study_design_scores_gemma":[0.0008505876,0.0005069605,0.06838269,0.001567558,0.0001660249,0.00001708963,0.00003758782,0.7209922,0.00008621727,0.08245253,0.1239597,0.0009808],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9274765,0.03346042,0.001812441,0.0008854741,0.0004258227,0.0006557991,0.00003918371,0.00004257485,0.03520174],"genre_scores_gemma":[0.9970106,0.002160904,0.000111374,0.00006656422,0.0001463945,0.000005675074,0.00002535369,0.00001158238,0.0004615505],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.906083,"threshold_uncertainty_score":0.9992259,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02585559792440683,"score_gpt":0.2499836279916957,"score_spread":0.2241280300672889,"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."}}