{"id":"W3165724006","doi":"10.48550/arxiv.2105.10485","title":"Lectures on mean curvature flow of surfaces","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mean curvature flow; Curvature; Flow (mathematics); Mean curvature; Geometry; Geology; Mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006314183,0.001466046,0.0005528874,0.001085469,0.001032188,0.001894001,0.0004307277,0.0007787948,0.02455757],"category_scores_gemma":[0.001715656,0.0003622741,0.000742058,0.0009418107,0.001098357,0.002410528,0.00136665,0.002342838,0.006093209],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002491017,"about_ca_system_score_gemma":0.000991846,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002576352,"about_ca_topic_score_gemma":0.002161765,"domain_scores_codex":[0.9996574,0.00006751638,0.00001296911,0.00007619495,0.0001329764,0.00005288774],"domain_scores_gemma":[0.9995995,0.0001111782,0.00002771462,0.00002913736,0.0001045792,0.0001277515],"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":[0.00003812541,0.00003891391,0.0006019768,0.0001929823,0.0000198054,0.00013626,0.0005459102,0.003330125,0.004784708,0.7379839,0.2127325,0.03959478],"study_design_scores_gemma":[0.00001428238,0.00006573655,0.003114201,0.0002332068,0.00002408246,0.0003801615,0.0001645321,0.00406378,0.001473466,0.4938812,0.4965474,0.00003801073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.0534458,0.05429276,0.09155565,0.04761829,0.02058341,0.00008761112,0.005441766,0.002157304,0.7248175],"genre_scores_gemma":[0.3709039,0.03520626,0.04387131,0.006039053,0.01840134,0.0002032015,0.00404186,0.001142298,0.5201908],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.02455757,"threshold_uncertainty_score":0.0821532,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09862602071645546,"score_gpt":0.21098632016461,"score_spread":0.1123602994481545,"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."}}