{"id":"W2950968451","doi":"10.48550/arxiv.1202.5788","title":"The filling problem in the cube","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Isoperimetric inequality; Cube (algebra); Exponent; Inequality; Mathematics; Combinatorics; Mathematical analysis","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":[0.0008129349,0.000632402,0.0009368748,0.0008611533,0.001672146,0.003237642,0.001212126,0.001718453,0.009941617],"category_scores_gemma":[0.006895827,0.000603441,0.0007537708,0.001258339,0.002225612,0.004692732,0.003412424,0.002500193,0.0009955851],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001622329,"about_ca_system_score_gemma":0.0007741753,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002974671,"about_ca_topic_score_gemma":0.002326735,"domain_scores_codex":[0.9990589,0.0002191768,0.00004725736,0.0001818915,0.0002404756,0.0002522513],"domain_scores_gemma":[0.9969303,0.001810014,0.0002339077,0.0003710421,0.0003513852,0.0003033619],"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":[0.0001277673,0.00002329933,0.0005328955,0.0001423859,0.00001427125,0.0001813726,0.0002209434,0.03111199,0.003336471,0.9418554,0.004423726,0.01802943],"study_design_scores_gemma":[0.00002617978,0.0000521875,0.0004084489,0.00005036458,0.00001419004,0.0002351359,0.0002245502,0.1452803,0.003858446,0.8391204,0.01069878,0.00003091388],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4840566,0.002468677,0.3982158,0.005555385,0.0003872727,0.0001105615,0.0009864874,0.0005089109,0.1077103],"genre_scores_gemma":[0.9071974,0.001221795,0.07028006,0.0007270226,0.0002323155,0.0001800351,0.0004998982,0.0002315154,0.01943006],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009941617,"threshold_uncertainty_score":0.03325796,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07159900893230291,"score_gpt":0.1854746572643741,"score_spread":0.1138756483320712,"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."}}