{"id":"W2624974402","doi":"10.1093/imrn/rny106","title":"General Variational Formulas for Abelian Differentials","year":2018,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; Concordia University","funders":"Brown University","keywords":"Abelian group; Jump; Differential (mechanical device); Node (physics); Differential equation; Variational method; Calculus of variations","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002953944,0.0002818536,0.0004060421,0.0003743721,0.0004104459,0.0003653427,0.001300898,0.0001472968,0.001843596],"category_scores_gemma":[0.006762454,0.0002358489,0.0002226518,0.0003084806,0.0004853023,0.0003851331,0.0003009178,0.0003174134,0.0005705851],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002164728,"about_ca_system_score_gemma":0.0001016845,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009940667,"about_ca_topic_score_gemma":0.0000231372,"domain_scores_codex":[0.9960228,0.000149085,0.000801407,0.0004594064,0.001847098,0.0007201963],"domain_scores_gemma":[0.9906449,0.006506579,0.0002786308,0.0005877964,0.001797305,0.000184754],"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":[0.00006106517,0.0006881938,0.00001809343,0.000234101,0.0002344296,0.00000192342,0.0009878308,0.000006419198,0.004134823,0.9871145,0.006063224,0.0004553831],"study_design_scores_gemma":[0.0005942666,0.0001979883,0.00006750076,0.0001336226,0.00003672729,0.000006042495,0.0001599657,0.05365268,0.01065922,0.931292,0.002952716,0.0002472429],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4334411,0.00002456959,0.4371262,0.003982,0.002121211,0.002760334,0.0002948214,0.0004154652,0.1198343],"genre_scores_gemma":[0.5494847,0.000006282304,0.4408406,0.000107921,0.003272365,0.0003652945,0.00003990691,0.0001095222,0.005773351],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.1160436,"threshold_uncertainty_score":0.9990689,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2511524699171481,"score_gpt":0.5101753721809553,"score_spread":0.2590229022638073,"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."}}