{"id":"W4417167911","doi":"10.48550/arxiv.2504.20202","title":"A Novel Parameter-Tying Theorem in Multi-Model Adaptive Systems: Systematic Approach for Efficient Model Selection","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Control Systems and Identification","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa; University of Waterloo","funders":"","keywords":"Identification (biology); Transformation (genetics); Reduction (mathematics); System identification; Dimension (graph theory); Dimensionality reduction; Stability (learning theory); Convex hull; Monotonic function","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001028979,0.0004819312,0.000991546,0.0004449633,0.00009765061,0.0001443242,0.0003561859,0.000460794,2.60184e-7],"category_scores_gemma":[0.0001877447,0.0004755915,0.0002681087,0.0002454025,0.00001875797,0.00008619301,0.0001281465,0.0005201076,0.000005360091],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008018542,"about_ca_system_score_gemma":0.00012256,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002519311,"about_ca_topic_score_gemma":0.00005549344,"domain_scores_codex":[0.9973639,0.0000966283,0.001140575,0.0007305461,0.0002428383,0.0004255497],"domain_scores_gemma":[0.998556,0.0001988514,0.0003158141,0.0006317092,0.0002307582,0.00006688992],"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":[0.00002088166,0.0001251803,0.0002370187,0.03260842,0.0001792069,1.781385e-7,0.0007992466,0.9623287,0.00272893,0.0009285057,0.00001744593,0.00002632272],"study_design_scores_gemma":[0.0007686443,0.00001002824,0.0002338683,0.005870251,0.0001840243,0.000002484418,0.0003678291,0.9920065,0.0000920555,0.00005215465,6.414493e-7,0.0004114671],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1190067,0.001084487,0.8730473,0.000004883167,0.0006639926,0.005527689,0.0001153765,0.0003232102,0.0002264066],"genre_scores_gemma":[0.9792119,0.0000142609,0.01408174,0.000006014555,0.00007062157,0.00588824,0.00007272567,0.00007279051,0.0005816618],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8602053,"threshold_uncertainty_score":0.9997696,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07711052347992949,"score_gpt":0.2649035382169272,"score_spread":0.1877930147369977,"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."}}