{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003267598,0.0010398,0.001105123,0.001976724,0.001694612,0.001679745,0.001392676,0.001432088,0.01395619],"category_scores_gemma":[0.007821974,0.0004795616,0.002019168,0.002004023,0.004294975,0.007875753,0.003422429,0.005457703,0.003571839],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001332639,"about_ca_system_score_gemma":0.001558892,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001609864,"about_ca_topic_score_gemma":0.0009915904,"domain_scores_codex":[0.9982045,0.000489721,0.0001069671,0.0004455282,0.0005219777,0.0002312922],"domain_scores_gemma":[0.9957818,0.002346383,0.0002638359,0.0004883352,0.000898928,0.0002206168],"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":[0.00003679121,0.0000269461,0.0001490918,0.0001585116,0.00001413135,0.0001052744,0.0001498098,0.001034439,0.0009485267,0.9701001,0.01109266,0.01618376],"study_design_scores_gemma":[0.00002082797,0.00004702738,0.0002249149,0.00006337454,0.00001539785,0.0003200894,0.00004818141,0.006172099,0.001460181,0.9645318,0.02706688,0.00002923223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01373453,0.004577345,0.8684784,0.01200124,0.001929835,0.0001458717,0.000855046,0.0007170124,0.09756059],"genre_scores_gemma":[0.4887282,0.01024415,0.4284558,0.01697579,0.003945507,0.0007182444,0.001441298,0.001302508,0.04818849],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01395619,"threshold_uncertainty_score":0.04668808,"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."}}