{"id":"W1507574195","doi":"10.48550/arxiv.1404.5992","title":"Uniqueness of minimizers of weighted least gradient problems arising in conductivity imaging","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Uniqueness; Omega; Inverse problem; Inverse; Mathematical analysis; Function (biology); Mathematics; Weight function; A priori and a posteriori; Uniqueness theorem for Poisson's equation; Physics; Pure mathematics; Combinatorics; Geometry; Quantum mechanics; Philosophy","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":[0.003945673,0.001983057,0.001297055,0.001535058,0.0007015601,0.00235326,0.001149317,0.002300334,0.001890505],"category_scores_gemma":[0.01289965,0.0008605139,0.001213861,0.0005790827,0.00343372,0.003122283,0.003656183,0.002405139,0.0004767408],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007468236,"about_ca_system_score_gemma":0.0007812686,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006432242,"about_ca_topic_score_gemma":0.0005845621,"domain_scores_codex":[0.9989889,0.0005021195,0.00005195478,0.0002296087,0.0001450872,0.00008241771],"domain_scores_gemma":[0.9959836,0.002715557,0.0003997233,0.0001335703,0.0005563223,0.0002112045],"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":[0.0001768767,0.0001425259,0.002686088,0.0009465099,0.0002593941,0.000566119,0.0005918549,0.2013621,0.01956474,0.7346605,0.004045898,0.0349974],"study_design_scores_gemma":[0.0000277068,0.0001379229,0.0005549734,0.0001297144,0.00005277637,0.0002839543,0.0001877308,0.5956958,0.004686448,0.3954189,0.00276616,0.00005792421],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0291921,0.0008036423,0.9644744,0.0008357284,0.00006426426,0.00005881477,0.00008318808,0.00006319823,0.00442459],"genre_scores_gemma":[0.540579,0.00238577,0.4409863,0.0006401921,0.0003462456,0.0007663567,0.0005060738,0.0006222093,0.01316788],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003945673,"threshold_uncertainty_score":0.02086699,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1745783543189095,"score_gpt":0.2621493587418484,"score_spread":0.08757100442293891,"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."}}