{"id":"W2059560826","doi":"10.1109/bsc.2010.5473006","title":"On Holant theorem and its proof","year":2010,"lang":"en","type":"article","venue":"","topic":"Parallel Computing and Optimization Techniques","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Tensor (intrinsic definition); Range (aeronautics); Proof of concept; Computer science; Component (thermodynamics); Holography; Analytic proof; Mathematics; Algebra over a field; Theoretical computer science; Calculus (dental); Pure mathematics; Mathematical proof; Physics; Quantum mechanics","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":[0.0001518904,0.00004916731,0.00004483159,0.00003934236,0.00005594421,0.00007378645,0.0002494164,0.0000297612,0.00001242476],"category_scores_gemma":[0.00003417703,0.00003527925,0.000009838933,0.00007178466,0.00001085919,0.00009040214,0.00009137411,0.0000961737,0.00001502577],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000001621791,"about_ca_system_score_gemma":0.000009775214,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001187248,"about_ca_topic_score_gemma":9.745918e-7,"domain_scores_codex":[0.9996223,0.00001345063,0.0000565185,0.0001524585,0.00007199742,0.00008326431],"domain_scores_gemma":[0.9996874,0.00004218721,0.00001905177,0.000183899,0.00002917254,0.00003830692],"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":[8.164292e-7,0.00001451891,0.00001830783,0.000001234424,9.569063e-7,0.000001103124,0.00005421653,0.00005736428,0.0007523178,0.9894546,0.0009843493,0.008660262],"study_design_scores_gemma":[0.0001504154,0.0001170727,0.0005507605,0.000008546092,8.119897e-7,0.00002243544,0.000001302363,0.8404055,0.08116873,0.07528143,0.002128748,0.0001642142],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03611707,0.00001254368,0.919584,0.0006903157,0.0001136699,0.00008181905,1.630799e-7,0.0004616428,0.04293879],"genre_scores_gemma":[0.8977271,0.000002988961,0.1011709,0.0004207676,0.00001542865,0.000002657109,1.96847e-7,0.000002281027,0.0006576441],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9141731,"threshold_uncertainty_score":0.1438646,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01061480544049332,"score_gpt":0.2467206408763687,"score_spread":0.2361058354358753,"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."}}