{"id":"W1975494147","doi":"10.1007/s10107-013-0674-8","title":"Maximally monotone linear subspace extensions of monotone subspaces: explicit constructions and characterizations","year":2013,"lang":"en","type":"article","venue":"Mathematical Programming","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Monotone polygon; Mathematics; Linear subspace; Subspace topology; Quadratic equation; Relation (database); Variational inequality; Pure mathematics; Discrete mathematics; Applied mathematics; Algebra over a field; Mathematical analysis; Computer science","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":[0.001726302,0.000915384,0.0006653502,0.001684766,0.001108123,0.002449982,0.001116878,0.0008916415,0.00634792],"category_scores_gemma":[0.004604044,0.0005805876,0.001019842,0.001636413,0.002160643,0.005684543,0.003368679,0.003332485,0.000693091],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006636028,"about_ca_system_score_gemma":0.0005397754,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002560201,"about_ca_topic_score_gemma":0.0002883223,"domain_scores_codex":[0.9988208,0.0004731897,0.00006639014,0.0001767691,0.0002854254,0.0001772828],"domain_scores_gemma":[0.9976254,0.001011422,0.0003168243,0.0002382289,0.0004337236,0.0003743477],"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":[0.00001746896,0.00001810276,0.0001613152,0.00003467315,0.000007014559,0.00004475128,0.0001517791,0.00130888,0.0009471475,0.9920804,0.000509363,0.004719226],"study_design_scores_gemma":[0.000007850078,0.00003731458,0.0001850326,0.00002459938,0.000007841376,0.0001867424,0.0001421413,0.01652141,0.0007980276,0.9798522,0.002220473,0.00001640917],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1537195,0.0009578491,0.8006359,0.0008312438,0.00008710185,0.00008812783,0.0004079838,0.0002691739,0.04300295],"genre_scores_gemma":[0.8827868,0.001262567,0.1004391,0.0004019403,0.0003213787,0.0002498,0.0005931445,0.0002236454,0.01372151],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.00634792,"threshold_uncertainty_score":0.02123594,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01226726134119255,"score_gpt":0.2280866825806446,"score_spread":0.2158194212394521,"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."}}