{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001469843,0.0004416598,0.001242017,0.0006030275,0.00004884861,0.00001501533,0.000801801,0.000326224,0.00004439343],"category_scores_gemma":[0.0004871062,0.000497021,0.0003230294,0.0007452411,0.000609134,0.0001633687,0.0009693455,0.0008701262,0.000003004435],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003498245,"about_ca_system_score_gemma":0.0001770992,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008594483,"about_ca_topic_score_gemma":0.00005198502,"domain_scores_codex":[0.9967789,0.0009255858,0.0007719795,0.0009198809,0.0001711933,0.0004324696],"domain_scores_gemma":[0.9960543,0.001018043,0.00137589,0.001108709,0.0003103486,0.0001327058],"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":[0.0007176207,0.002918842,0.1161391,0.01573745,0.0009864802,0.0002968577,0.005155883,0.1786432,0.01484948,0.6597111,0.0002670101,0.004576933],"study_design_scores_gemma":[0.001202627,0.00005079872,0.0003577495,0.001683039,0.0002601579,0.000004789606,0.0005328748,0.1240526,0.007880936,0.863308,0.00006378134,0.0006026524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.713307,0.00003843299,0.2834572,0.00003182724,0.000382815,0.0006136661,0.00002403375,0.00007241724,0.002072582],"genre_scores_gemma":[0.9454432,0.00005449922,0.05429151,0.0000111679,0.000022352,0.000002783401,0.000007049136,0.00005369852,0.0001136997],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2321362,"threshold_uncertainty_score":0.9997482,"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."}}