{"id":"W7132863735","doi":"","title":"On the Logarithimic Calculus and Sidorenko&apos;s Conjecture","year":2011,"lang":"en","type":"dissertation","venue":"TSpace","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Conjecture; Forcing (mathematics); Bipartite graph; Logarithm; Vertex (graph theory); Type (biology)","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002134188,0.0003362201,0.0003330612,0.00007666442,0.0003063478,0.0000387684,0.0002863001,0.0004494433,0.0007014724],"category_scores_gemma":[0.0003358694,0.0001927868,0.0001142606,0.00007427284,0.0001075468,0.00001744588,0.00004650487,0.00068793,0.0000161734],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001695033,"about_ca_system_score_gemma":0.00003538552,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007074176,"about_ca_topic_score_gemma":0.0002558811,"domain_scores_codex":[0.9989582,0.0001055622,0.0001823364,0.0003067858,0.0002158607,0.0002312549],"domain_scores_gemma":[0.9984786,0.0006612435,0.0002019687,0.0005458098,0.00005159939,0.00006080702],"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":[0.00009409258,0.00001880853,0.000005046088,0.0001555636,0.00009924832,0.000009582855,0.02485593,1.91128e-7,0.00005949882,0.9615667,0.01217721,0.0009581019],"study_design_scores_gemma":[0.0002212164,0.0001008235,0.0002737794,0.0001708465,0.0001735019,0.00001542901,0.003725532,0.00001096175,0.001831346,0.9904972,0.002649068,0.0003302497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8291879,0.0005525373,0.00002763379,0.0002230492,0.001006294,0.0004674527,0.00001356255,0.00009399479,0.1684275],"genre_scores_gemma":[0.9118651,0.0001349222,0.0003979608,0.0005237357,0.0002141432,0.0000400234,0.0000696612,0.0001126906,0.08664174],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08267717,"threshold_uncertainty_score":0.7861617,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06113968693171706,"score_gpt":0.3703866312554483,"score_spread":0.3092469443237312,"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."}}