{"id":"W4386848811","doi":"10.1137/22m1534195","title":"Extremal Bounds for 3-Neighbor Bootstrap Percolation in Dimensions Two and Three","year":2023,"lang":"en","type":"article","venue":"SIAM Journal on Discrete Mathematics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; University of Victoria","keywords":"Combinatorics; Mathematics; Vertex (graph theory); Cardinality (data modeling); Grid; k-nearest neighbors algorithm; Graph; Percolation (cognitive psychology); Discrete mathematics; Set (abstract data type); Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.0009074711,0.000248327,0.0004326913,0.0002484708,0.0002718112,0.0001562148,0.0001677927,0.0001004193,0.00004981373],"category_scores_gemma":[0.002269305,0.000193566,0.0001092649,0.0003217332,0.00005404299,0.0001339988,0.00006335136,0.0003352112,0.00002170739],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006490968,"about_ca_system_score_gemma":0.00006646839,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001283717,"about_ca_topic_score_gemma":0.00003821448,"domain_scores_codex":[0.99818,0.00002981677,0.00067788,0.0002373385,0.0004192565,0.0004556715],"domain_scores_gemma":[0.9970547,0.002168063,0.0002468689,0.0002196412,0.0001184192,0.0001923244],"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":[0.00006837379,0.0001338156,0.0000500676,0.0004114143,0.00003888295,0.0000471037,0.001007434,0.00005947519,0.000381313,0.9945613,0.0007470018,0.002493784],"study_design_scores_gemma":[0.00101761,0.0002907503,0.0001762899,0.0003884614,0.00006288145,0.0000973032,0.0005641727,0.1746648,0.0000411192,0.8223889,0.0001058194,0.0002019059],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1774631,0.00009205972,0.8194324,0.0007946861,0.0003151077,0.0007450738,0.0000797461,0.0001125004,0.0009652887],"genre_scores_gemma":[0.8642593,0.00008056965,0.134873,0.00008515362,0.0002093415,0.00008059576,0.00001092279,0.0000922098,0.0003088912],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6867962,"threshold_uncertainty_score":0.7893391,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1075846876101875,"score_gpt":0.3861414268246157,"score_spread":0.2785567392144281,"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."}}