{"id":"W6948438985","doi":"10.48550/arxiv.2502.14993","title":"On Traces in Categories of Contractions","year":2025,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Astronomical Observations and Instrumentation","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"","keywords":"Subcategory; Monoidal category; Unitary state; Closed monoidal category; Generalization; Hilbert space; Symmetric monoidal category; Algebra over a field","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":[0.00002940755,0.00009424072,0.0001445728,0.0001650209,0.00001810138,0.000007363321,0.0001113686,0.0001006373,0.00003458955],"category_scores_gemma":[0.000007401582,0.0001180781,0.00005182149,0.0001646932,0.00002895805,0.00009124989,0.00003556502,0.0002162622,0.000005090043],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001408831,"about_ca_system_score_gemma":0.00003348816,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001905377,"about_ca_topic_score_gemma":0.000166925,"domain_scores_codex":[0.999615,0.00001311857,0.0001305655,0.0001453215,0.00001629106,0.00007971106],"domain_scores_gemma":[0.9997042,0.00005746126,0.00004352672,0.0001521993,0.0000233528,0.00001927138],"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":[0.00001077156,0.00002694319,0.004013873,0.00004333035,0.00002769063,0.000001444829,0.00004793505,0.9142187,0.00003233526,0.08117806,0.00005492636,0.0003439746],"study_design_scores_gemma":[0.0008090885,0.00004597139,0.07057369,0.0002257481,0.00008353583,1.127982e-7,0.0005660877,0.8951575,0.001860036,0.02989348,0.0004447911,0.0003399364],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9735677,0.00001467458,0.01955898,0.0000151313,0.0002503734,0.0001134721,0.00005033852,0.000048082,0.006381297],"genre_scores_gemma":[0.9994487,0.00006972552,0.0001083095,0.000004930938,0.000009557149,9.514692e-7,0.00003214358,0.000004656401,0.0003210632],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06655981,"threshold_uncertainty_score":0.4815087,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04381311087707833,"score_gpt":0.1710652530817249,"score_spread":0.1272521422046466,"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."}}