{"id":"W4246027188","doi":"10.2307/2695500","title":"Inverting the Pascal Matrix Plus One","year":2002,"lang":"en","type":"article","venue":"American Mathematical Monthly","topic":"Parallel Computing and Optimization Techniques","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Pascal (unit); Computer science; Programming language","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002959052,0.0001469869,0.0002635063,0.00005504027,0.000195691,0.000168532,0.001015958,0.000031658,0.00006273093],"category_scores_gemma":[0.0002297602,0.0001023782,0.00008941367,0.0005369204,0.0002360609,0.0001502723,0.0002901789,0.0001874311,0.0003220018],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004215299,"about_ca_system_score_gemma":0.00001263145,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002659296,"about_ca_topic_score_gemma":0.000001220695,"domain_scores_codex":[0.9985961,0.0001155027,0.0003321187,0.0002833839,0.0003415699,0.0003313332],"domain_scores_gemma":[0.9986131,0.0003943474,0.0001642098,0.0006695571,0.00004973512,0.0001091094],"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":[0.000005496133,0.0003583263,0.00009129399,0.00004318314,0.00006422492,0.00002153801,0.005177019,0.005941028,0.00007439383,0.9251145,0.01750841,0.04560056],"study_design_scores_gemma":[0.0000925229,0.00007366739,0.00008641738,0.00002578545,0.000006804961,0.000008039587,0.00005498351,0.9267633,0.0001186623,0.07177589,0.0008401701,0.0001537878],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001428885,0.00009879423,0.9329608,0.005911164,0.00003367078,0.000161285,6.264783e-7,0.0006937509,0.05871104],"genre_scores_gemma":[0.5663069,0.00001135566,0.432097,0.001064792,0.00005244437,0.00002427789,3.894365e-7,0.00001255049,0.0004303033],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9208223,"threshold_uncertainty_score":0.417486,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0257300314419334,"score_gpt":0.2601622319651434,"score_spread":0.23443220052321,"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."}}