{"id":"W2008912653","doi":"10.1016/j.jctb.2014.11.008","title":"A density Hales–Jewett theorem for matroids","year":2014,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Office of Naval Research","keywords":"Matroid; Mathematics; Mathematical economics; Combinatorics","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":[0.004304613,0.0002473439,0.00064422,0.0001317636,0.0003655864,0.00006923013,0.0005454177,0.0001826732,0.00008235625],"category_scores_gemma":[0.002589869,0.0001790312,0.0004532607,0.0001132629,0.0002905789,0.0003028175,0.0001129731,0.0003406333,0.000001670097],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004859961,"about_ca_system_score_gemma":0.00005809004,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.389908e-7,"about_ca_topic_score_gemma":5.265118e-7,"domain_scores_codex":[0.9979182,0.0005199306,0.0007073628,0.0001532105,0.0003901064,0.0003111784],"domain_scores_gemma":[0.9960474,0.002164698,0.0007072477,0.0004078911,0.0005279338,0.0001448357],"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":[0.00228648,0.00008293964,0.0000922179,0.00008078485,0.0001527173,0.000006031821,0.0007695482,0.000001456481,0.0003909733,0.9921594,0.002277533,0.001699902],"study_design_scores_gemma":[0.001826677,0.0008515768,0.00006876508,0.00005685856,0.00014508,0.0001862476,0.0002917618,0.000006591144,0.007227098,0.9708025,0.01832897,0.0002077992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.928704,0.0001677196,0.04422367,0.0003925668,0.01735928,0.000432423,0.00001280363,0.00008112701,0.008626387],"genre_scores_gemma":[0.9892562,0.00001674948,0.007808104,0.00013833,0.002264729,0.000005011527,8.836381e-7,0.00004840513,0.0004615725],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06055219,"threshold_uncertainty_score":0.7300679,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01541190292802947,"score_gpt":0.2713370931026248,"score_spread":0.2559251901745954,"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."}}