{"id":"W4401015388","doi":"10.5206/mt.v4i1.17129","title":"L^infinity-norm computation for linear time-invariant systems depending on parameters","year":2024,"lang":"en","type":"article","venue":"Maple Transactions","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Parametric statistics; Computation; Mathematics; Norm (philosophy); Sigma; Projection (relational algebra); Invariant (physics); Algebraic number; Uniform norm; LTI system theory; Linear system; Applied mathematics; Discrete mathematics; Algebra over a field; Algorithm; Pure mathematics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002440146,0.0001407647,0.0001447003,0.0002201008,0.0002691669,0.0003730362,0.0002186766,0.00005877005,0.00001213392],"category_scores_gemma":[0.00001001624,0.0001342069,0.000131383,0.0003674414,0.00001773303,0.0003654301,0.000007803519,0.0001467937,0.0002579694],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008729992,"about_ca_system_score_gemma":0.00007474814,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008179359,"about_ca_topic_score_gemma":0.000008452686,"domain_scores_codex":[0.9989253,0.00004946737,0.0002465955,0.0003617335,0.0001827846,0.0002341162],"domain_scores_gemma":[0.9991131,0.0005567331,0.00003742185,0.0001707414,0.00003750894,0.00008451918],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00003958599,0.0001767507,0.000002321603,0.0003205644,0.0001853881,0.00002801687,0.001383499,0.683277,0.00200461,0.08069341,0.002367324,0.2295215],"study_design_scores_gemma":[0.0002184654,0.0001429795,0.00002637133,0.00007298499,0.00002507118,0.00002198898,0.00001780169,0.9893238,0.0007361756,0.00235361,0.006896126,0.0001646083],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.003479465,0.00006219037,0.9916718,0.001172472,0.001820471,0.0003870377,0.00003959936,0.0005792073,0.0007877733],"genre_scores_gemma":[0.963,0.000005729582,0.03535547,0.0001280461,0.0001631498,0.0001101008,0.0000347099,0.00002176681,0.001180996],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9595206,"threshold_uncertainty_score":0.54728,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02760684777700143,"score_gpt":0.2640995186200696,"score_spread":0.2364926708430682,"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."}}