{"id":"W2950430248","doi":"10.48550/arxiv.1201.6404","title":"Optimal Transportation with Capacity Constraints","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Pointwise; Mathematics; Mathematical optimization; Duality (order theory); Degeneracy (biology); Regular polygon; Constraint (computer-aided design); Transportation theory; Domain (mathematical analysis); Quasiconvex function; Function (biology); Feasible region; Convex function; Convex analysis; Convex optimization; Combinatorics; Mathematical analysis","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002790926,0.0003162306,0.0004055246,0.0002262254,0.0001008809,0.0000348894,0.0003240993,0.0002944929,0.0003737076],"category_scores_gemma":[0.00005972801,0.0003075514,0.0001446584,0.0003906376,0.0002657392,0.0002338133,0.00006257257,0.0005068085,0.00002991144],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001112111,"about_ca_system_score_gemma":0.0001425377,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001375712,"about_ca_topic_score_gemma":0.00009678101,"domain_scores_codex":[0.9987406,0.00005717251,0.0002270665,0.0004770495,0.0001170598,0.0003810364],"domain_scores_gemma":[0.9986659,0.00019956,0.000318397,0.0004356866,0.0002275833,0.0001528306],"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":[0.000160935,0.0003014208,0.004962084,0.001524594,0.0003795749,0.0001556429,0.002373895,0.01692654,0.0000085506,0.9727328,0.0002725918,0.0002013807],"study_design_scores_gemma":[0.004970027,0.0004530306,0.008621351,0.001474369,0.003338095,0.00006496033,0.008752281,0.01169168,0.001773733,0.9526891,0.001842188,0.004329228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7975427,0.00002602192,0.1974938,0.00001608916,0.0001419074,0.0002268907,0.0001880772,0.0001319091,0.004232624],"genre_scores_gemma":[0.9941,0.00003606245,0.004371207,0.00002154844,0.00009206277,0.000001492665,0.00006308674,0.00002917467,0.00128537],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1965573,"threshold_uncertainty_score":0.9999377,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1694237031017152,"score_gpt":0.2187997018585988,"score_spread":0.04937599875688359,"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."}}