{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002189045,0.0005469561,0.0005109897,0.002845018,0.002395261,0.004072757,0.0009113394,0.001549347,0.005295828],"category_scores_gemma":[0.0044146,0.0004449055,0.0009608589,0.002043021,0.008594716,0.01093243,0.005128946,0.002621728,0.0007332559],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001864276,"about_ca_system_score_gemma":0.0007770812,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002383979,"about_ca_topic_score_gemma":0.001398428,"domain_scores_codex":[0.9978624,0.0008591882,0.0001381567,0.0004361433,0.0004911936,0.0002130316],"domain_scores_gemma":[0.9970531,0.001562617,0.0001323705,0.0004751093,0.0005232127,0.0002534486],"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":[0.000003579894,0.000002965703,0.0001107241,0.0000106987,0.000002159868,0.00002691648,0.0004521952,0.0001406308,0.0001398294,0.9972011,0.0001762231,0.001733085],"study_design_scores_gemma":[0.000002861864,0.000009289699,0.0001478542,0.00001294467,0.000002758108,0.00005921311,0.0001899078,0.0009443215,0.0001673171,0.990464,0.007993437,0.000006031177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2268882,0.008352742,0.5593729,0.006926773,0.0006503229,0.00009107319,0.0007593809,0.0007525167,0.1962062],"genre_scores_gemma":[0.9284766,0.001921154,0.04716882,0.0009929723,0.0004671209,0.0001220436,0.0003889023,0.0002274953,0.0202349],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005295828,"threshold_uncertainty_score":0.01771629,"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."}}