{"id":"W1747269603","doi":"10.1016/j.jsc.2015.05.004","title":"Propagating weights of tori along free resolutions","year":2015,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Torus; Mathematics; Resolution (logic); Equivariant map; Action (physics); Ring (chemistry); Polynomial; Polynomial ring; Pure mathematics; Geometry; Topology (electrical circuits); Combinatorics; Mathematical analysis; Computer science; Artificial intelligence","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0006485131,0.00008789749,0.0002579597,0.000175709,0.00007404216,0.00001980962,0.0002192642,0.00003971648,0.000008433958],"category_scores_gemma":[0.0007869772,0.00007355306,0.00009183969,0.0003014891,0.00004844214,0.0002058306,0.00005976382,0.0001598143,0.000004255069],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008444243,"about_ca_system_score_gemma":0.000182865,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002122597,"about_ca_topic_score_gemma":0.00001337403,"domain_scores_codex":[0.9986145,0.0001002934,0.0007222387,0.00007415245,0.0003814847,0.0001072748],"domain_scores_gemma":[0.9974907,0.0004145446,0.0008377798,0.0001800339,0.0009750462,0.0001018947],"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":[0.00015081,0.001315355,0.01080308,0.0002769672,0.00045773,0.00002027136,0.02867969,0.002562911,0.005508188,0.8702344,0.04755466,0.03243591],"study_design_scores_gemma":[0.001181225,0.0002777929,0.01200405,0.0001741424,0.0001064363,0.0001137843,0.001358756,0.004926847,0.001829124,0.9773151,0.0005852094,0.0001275536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8754019,0.0002014164,0.1211862,0.0007645058,0.0001670726,0.0001713775,0.000004865853,0.00001970841,0.002083037],"genre_scores_gemma":[0.9391976,0.000005291942,0.06051472,0.00001436076,0.0002111189,0.000003353997,0.000001990363,0.00001194812,0.00003960365],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1070806,"threshold_uncertainty_score":0.2999407,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09825314252495476,"score_gpt":0.356777269611685,"score_spread":0.2585241270867302,"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."}}