{"id":"W4404004512","doi":"10.1112/jlms.70014","title":"Continuity of extensions of Lipschitz maps and of monotone maps","year":2024,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"European Research Council","keywords":"Lipschitz continuity; Monotone polygon; Mathematics; Pure mathematics; Geometry","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":[0.002788772,0.0006002625,0.0006492671,0.0012029,0.0008351229,0.002142822,0.0008538793,0.0008377918,0.0023181],"category_scores_gemma":[0.01047514,0.0004687108,0.0008859496,0.0006249237,0.002753007,0.005617016,0.00335648,0.002479234,0.0001568366],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001151179,"about_ca_system_score_gemma":0.0005800151,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005273927,"about_ca_topic_score_gemma":0.0003517773,"domain_scores_codex":[0.998771,0.0003831306,0.00008219026,0.0003198079,0.0003025334,0.0001413647],"domain_scores_gemma":[0.9940478,0.003385142,0.0006680096,0.0003808118,0.0008001021,0.0007181794],"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":[0.0004196819,0.00009252658,0.002528692,0.0002016604,0.00007331758,0.0006938177,0.001010889,0.02534611,0.01179332,0.9408457,0.0007872076,0.01620702],"study_design_scores_gemma":[0.00006186411,0.0002685902,0.004526007,0.0001316468,0.00004238066,0.0009523575,0.000521091,0.1484777,0.006246101,0.8328445,0.005872928,0.00005489426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7298642,0.001636729,0.233728,0.001498243,0.0001481296,0.00008856558,0.0003145812,0.00009440802,0.03262701],"genre_scores_gemma":[0.9718404,0.0004868971,0.02247517,0.0001235312,0.0001376277,0.00008829301,0.0001063655,0.00003184198,0.00470983],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002788772,"threshold_uncertainty_score":0.01474857,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01060901473078001,"score_gpt":0.2448317439417928,"score_spread":0.2342227292110128,"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."}}