{"id":"W4410407622","doi":"10.1038/s42005-025-02122-0","title":"Symmetry-driven embedding of networks in hyperbolic space","year":2025,"lang":"en","type":"article","venue":"Communications Physics","topic":"Complex Network Analysis Techniques","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Embedding; Space (punctuation); Symmetry (geometry); Hyperbolic space; Mathematics; Pure mathematics; Topology (electrical circuits); Computer science; Geometry; Artificial intelligence; Combinatorics","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":[0.002214402,0.0008768844,0.0007648177,0.002309197,0.0007870286,0.001885082,0.001598564,0.001127466,0.003077862],"category_scores_gemma":[0.01592542,0.0007990139,0.001094296,0.001337438,0.002106429,0.003496753,0.002641105,0.001923435,0.0006758744],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001884246,"about_ca_system_score_gemma":0.001069708,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004831001,"about_ca_topic_score_gemma":0.005144397,"domain_scores_codex":[0.9986402,0.0006056512,0.00005777062,0.0003561258,0.0002511282,0.00008922704],"domain_scores_gemma":[0.9918525,0.004490443,0.001149483,0.00140508,0.0007837773,0.000318658],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001437117,0.00004501187,0.005154026,0.0001264173,0.0000699858,0.0001992908,0.0005629707,0.5703312,0.002540407,0.382644,0.002203085,0.03597987],"study_design_scores_gemma":[0.00000787538,0.00001259186,0.0004591448,0.00001562334,0.000006412294,0.00003775748,0.00004930339,0.8490914,0.0004980186,0.148769,0.001039392,0.00001338896],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04664516,0.0001240015,0.9501725,0.0003159271,0.00002295775,0.00006471158,0.0004259929,0.0002484425,0.001980147],"genre_scores_gemma":[0.6770809,0.0004978951,0.3160811,0.0001747418,0.00006274515,0.0002789002,0.001499149,0.0002631872,0.004061412],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004831001,"threshold_uncertainty_score":0.01367128,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0190067512517305,"score_gpt":0.3289957161040384,"score_spread":0.3099889648523079,"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."}}