{"id":"W3197543708","doi":"10.1109/isit45174.2021.9517992","title":"Type Graphs and Small-Set Expansion","year":2021,"lang":"en","type":"article","venue":"","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"William and Flora Hewlett Foundation; National Science Foundation","keywords":"Complete bipartite graph; Bipartite graph; Combinatorics; Mathematics; Graph; Discrete mathematics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.001183655,0.0005128654,0.0008682627,0.001686694,0.001447516,0.001699409,0.001592158,0.001135824,0.007871157],"category_scores_gemma":[0.01068938,0.0006520281,0.0008642602,0.0009449733,0.001876957,0.003256255,0.00185885,0.002355781,0.0007855963],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00143882,"about_ca_system_score_gemma":0.0004926367,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001513619,"about_ca_topic_score_gemma":0.001388786,"domain_scores_codex":[0.999073,0.0002453353,0.000028186,0.0002382608,0.0002543402,0.0001607488],"domain_scores_gemma":[0.9939382,0.003562852,0.0007226107,0.000623852,0.0005381552,0.0006142223],"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":[0.0001287656,0.00004842813,0.00133176,0.0001184924,0.0000234205,0.0001420213,0.0002247019,0.02161694,0.003475841,0.9588068,0.004970027,0.00911275],"study_design_scores_gemma":[0.00006098319,0.00007172192,0.001648907,0.00004656511,0.00002884702,0.0006282433,0.000169577,0.1899589,0.002791443,0.7961199,0.008435323,0.00003954406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5364493,0.001764843,0.3757211,0.00255849,0.0002380855,0.0001964984,0.00120356,0.001230821,0.08063731],"genre_scores_gemma":[0.9449047,0.0005488273,0.03980127,0.0005929051,0.0001853875,0.0002567505,0.000990082,0.000388893,0.01233113],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007871157,"threshold_uncertainty_score":0.0263316,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05645692729191395,"score_gpt":0.2997581867506223,"score_spread":0.2433012594587083,"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."}}