{"id":"W2962703159","doi":"10.1016/j.laa.2012.01.010","title":"Holographic algorithms without matchgates","year":2012,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Defense Advanced Research Projects Agency; National Science Foundation","keywords":"Pfaffian; Mathematics; Skew; Computation; Algebraic number; Context (archaeology); Algorithm; Matrix (chemical analysis); Combinatorics; Discrete mathematics; Algebra over a field; Pure mathematics; Computer science","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":[0.003536531,0.0008215381,0.001847097,0.001751997,0.001923061,0.003353615,0.002925981,0.002394702,0.01147325],"category_scores_gemma":[0.01903117,0.001082053,0.001196601,0.002359653,0.003993021,0.009012619,0.005420511,0.003459519,0.001533434],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001895925,"about_ca_system_score_gemma":0.00242412,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001960658,"about_ca_topic_score_gemma":0.002417638,"domain_scores_codex":[0.9968669,0.001469792,0.0001627546,0.0005380471,0.0007090026,0.0002534332],"domain_scores_gemma":[0.9908697,0.005892288,0.0004088943,0.002127455,0.0004390887,0.0002625028],"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":[0.00003777368,0.00003139085,0.00009591376,0.00003106351,0.0000139739,0.00001363561,0.00003886737,0.01716817,0.0001982494,0.9682797,0.001052361,0.01303885],"study_design_scores_gemma":[0.00001543079,0.00001000203,0.00002911749,0.00000992336,0.000006159498,0.0000124577,0.00001173295,0.09401327,0.0004146727,0.9042898,0.001177697,0.000009672155],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.009703367,0.0002803032,0.9799303,0.0005865702,0.0001118002,0.00005445406,0.0001215328,0.0002340436,0.008977786],"genre_scores_gemma":[0.4688864,0.00106914,0.4907019,0.0009755785,0.0004357329,0.0005665646,0.0005876193,0.0005664587,0.03621064],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01147325,"threshold_uncertainty_score":0.03838181,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06242420088524599,"score_gpt":0.3625044198527769,"score_spread":0.3000802189675309,"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."}}