{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":7,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":7,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"4ae2c3845423","filters":{"venue":"Frontiers in probability and the statistical sciences"}},"results":[{"id":"W4402757678","doi":"10.1007/978-3-031-61347-0_1","title":"Introduction and Notation","year":2024,"lang":"en","type":"book-chapter","venue":"Frontiers in probability and the statistical sciences","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Notation; Computer science; Programming language; Linguistics; Philosophy","authors":[{"name":"N. Balakrishnan","is_ca":true},{"name":"Tomasz Rychlik","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04965049913053401,"gpt":0.3060371640681721,"spread":0.2563866649376381,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.001591716,0.0001452642,0.0003117304,0.00004919534,0.0001668388,0.0001214754,0.0001106481,0.00009493388,0.0001605561],"category_scores_gemma":[0.0006559649,0.00008445129,0.00002955696,0.00005499718,0.002828899,0.00005381205,0.00008461288,0.0002466837,0.00000680517],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003230771,"about_ca_system_score_gemma":0.00002469222,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001531904,"about_ca_topic_score_gemma":0.00002456017,"domain_scores_codex":[0.9988257,0.00004529802,0.0003665392,0.0003949098,0.0002258923,0.0001416374],"domain_scores_gemma":[0.9985874,0.001107666,0.00007494538,0.0001565999,0.00002577292,0.00004756455],"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":[0.00001330071,0.00001015543,0.000003575736,0.0003685668,0.00001079198,4.081471e-7,0.0002937278,5.748353e-7,9.202694e-8,0.9885394,0.006198479,0.004560919],"study_design_scores_gemma":[0.0001139439,0.00002803291,0.000006974067,0.00006639437,0.00005749347,0.000003929278,0.0001344975,0.003745602,4.627999e-7,0.9800429,0.01569411,0.0001056004],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.0004769655,0.002633454,0.343312,0.03484863,0.001068644,0.002636392,0.0003326777,0.0001259207,0.6145654],"genre_scores_gemma":[0.01045675,0.001319478,0.6545438,0.0002592678,0.000966635,0.0003457423,0.00003938942,0.00005952333,0.3320094],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.3112319,"threshold_uncertainty_score":0.9998848,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402757484","doi":"10.1007/978-3-031-61347-0_2","title":"Analytic Inequalities and Other Tools","year":2024,"lang":"en","type":"book-chapter","venue":"Frontiers in probability and the statistical sciences","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Inequality; Mathematics; Calculus (dental); Sociology; Mathematical economics; Computer science; Applied mathematics; Mathematical analysis; Medicine; Orthodontics","authors":[{"name":"Narayanaswamy Balakrishnan","is_ca":true},{"name":"Tomasz Rychlik","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1330111727922191,"gpt":0.341779490873484,"spread":0.2087683180812649,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.002301176,0.0002339596,0.0005761294,0.00007038223,0.0001849836,0.0002649777,0.0002299709,0.0001347096,0.0002794173],"category_scores_gemma":[0.000936988,0.0001314034,0.00006011549,0.00007257803,0.004579503,0.00006445276,0.0001731252,0.0003171317,0.000008007386],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003643906,"about_ca_system_score_gemma":0.00004688396,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000496913,"about_ca_topic_score_gemma":0.00006087348,"domain_scores_codex":[0.9983204,0.00007776728,0.0005687773,0.0004674502,0.0003227221,0.0002429063],"domain_scores_gemma":[0.9962806,0.003258858,0.000101847,0.0002518277,0.00002508978,0.00008178002],"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":[0.00001423284,0.00001390995,0.00002003794,0.0006490966,0.0000293065,0.00000122595,0.0005948913,5.310559e-7,2.862117e-8,0.9944808,0.002131863,0.002064019],"study_design_scores_gemma":[0.0001564167,0.00003471412,0.000005178812,0.0002099583,0.00009219212,0.000004064409,0.0004016677,0.00296197,2.269441e-7,0.9788012,0.01715414,0.0001783059],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0004578841,0.002917794,0.07200551,0.004241405,0.0003001368,0.001686586,0.001029669,0.00008991839,0.9172711],"genre_scores_gemma":[0.026916,0.001071691,0.4028269,0.001299299,0.000413993,0.0005501502,0.00002575039,0.00012891,0.5667673],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.3505038,"threshold_uncertainty_score":0.9981295,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402757601","doi":"10.1007/978-3-031-61347-0","title":"Sharp Inequalities for Ordered Random Variables in Statistics and Reliability","year":2024,"lang":"en","type":"book","venue":"Frontiers in probability and the statistical sciences","topic":"Probabilistic and Robust Engineering Design","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Statistics; Inequality; Reliability (semiconductor); Mathematics; Random variable; Econometrics; Psychology; Physics; Mathematical analysis","authors":[{"name":"Narayanaswamy Balakrishnan","is_ca":true},{"name":"Tomasz Rychlik","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05816150815464568,"gpt":0.321093276675979,"spread":0.2629317685213333,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","sts"],"consensus_categories":[],"category_scores_codex":[0.02490262,0.0004201076,0.001319169,0.0003488294,0.0002973268,0.0006658447,0.0008654189,0.0003197237,0.00006396185],"category_scores_gemma":[0.03650155,0.0002362027,0.00008512088,0.0005642181,0.006980638,0.000202924,0.0003482282,0.0006182536,0.000004460508],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002061052,"about_ca_system_score_gemma":0.0008158442,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001561728,"about_ca_topic_score_gemma":0.0001902083,"domain_scores_codex":[0.9944518,0.0008260745,0.001578627,0.001468616,0.001085944,0.0005889151],"domain_scores_gemma":[0.9728153,0.0261057,0.0002186937,0.0005075713,0.0001961426,0.0001565421],"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":[0.0005160625,0.00004026854,0.0006431408,0.0005862478,0.0000178123,0.000006050084,0.0008128724,0.001509819,5.811807e-8,0.9465775,0.04106817,0.008221965],"study_design_scores_gemma":[0.001419013,0.0001130692,0.0003664808,0.0001756065,0.00005158771,0.000003408642,0.0002434111,0.1287458,1.359274e-7,0.8572542,0.0113505,0.0002768451],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0001001294,0.003939486,0.9782398,0.001333272,0.001434476,0.002394587,0.002441465,0.00004108367,0.01007571],"genre_scores_gemma":[0.01169893,0.0009379121,0.9080346,0.0002474157,0.0002464274,0.0007720983,0.0001063761,0.00006006407,0.07789621],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1272359,"threshold_uncertainty_score":0.9957218,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402757500","doi":"10.1007/978-3-031-61347-0_3","title":"Deterministic Bounds","year":2024,"lang":"en","type":"book-chapter","venue":"Frontiers in probability and the statistical sciences","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Computer science","authors":[{"name":"N. Balakrishnan","is_ca":true},{"name":"Tomasz Rychlik","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06354346207436062,"gpt":0.3374704353124711,"spread":0.2739269732381104,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.001256081,0.0002213549,0.0004188291,0.00007100982,0.0002939957,0.0001917811,0.0002774334,0.0001390511,0.0003684691],"category_scores_gemma":[0.001661399,0.0001378048,0.00006194469,0.0001058702,0.006006042,0.00004383357,0.0001119969,0.0003790092,0.00004717461],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008749787,"about_ca_system_score_gemma":0.0001080145,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001008427,"about_ca_topic_score_gemma":0.00002553518,"domain_scores_codex":[0.9982985,0.00005985152,0.0005186699,0.0005088822,0.0003720185,0.0002420536],"domain_scores_gemma":[0.9972778,0.002248662,0.0000979309,0.0002304985,0.00004337089,0.0001017697],"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":[0.0000203946,0.00001754433,0.000008047043,0.0001632644,0.00001378231,0.000004145359,0.00006102056,0.000001065892,2.676577e-8,0.9865943,0.00717795,0.00593843],"study_design_scores_gemma":[0.0002230577,0.00003328183,0.00006175978,0.0000985771,0.00009207671,0.000007099575,0.00002694763,0.01299829,1.535014e-7,0.9718726,0.0144167,0.0001695085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00001118066,0.0004185848,0.5695648,0.001871897,0.0003755135,0.0007065156,0.000938244,0.0000628659,0.4260505],"genre_scores_gemma":[0.08665569,0.0004910341,0.5919325,0.0006756951,0.0002949465,0.0006161425,0.000211984,0.00009653962,0.3190255],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.107025,"threshold_uncertainty_score":0.996699,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402757535","doi":"10.1007/978-3-031-61347-0_6","title":"IID Samples from Shape Restricted Families","year":2024,"lang":"en","type":"book-chapter","venue":"Frontiers in probability and the statistical sciences","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Geography; Genealogy; Mathematics; History","authors":[{"name":"Narayanaswamy Balakrishnan","is_ca":true},{"name":"Tomasz Rychlik","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09004112800676896,"gpt":0.3263863340856337,"spread":0.2363452060788648,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.00166171,0.0003545517,0.0008172183,0.0001144978,0.0002467693,0.0002213206,0.0004948758,0.0002439004,0.0006309396],"category_scores_gemma":[0.006514532,0.0002038214,0.00008342163,0.0001475395,0.006852904,0.00006003103,0.0002763743,0.0006678433,0.00001494057],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000716758,"about_ca_system_score_gemma":0.000134623,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000334302,"about_ca_topic_score_gemma":0.0001370048,"domain_scores_codex":[0.9972866,0.0002309994,0.0007013614,0.0008450921,0.0005663594,0.0003695843],"domain_scores_gemma":[0.9891647,0.01018607,0.0001362493,0.0003315891,0.00005788599,0.0001235816],"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":[0.00008042255,0.00001755344,0.0001185793,0.000142575,0.00003797546,0.000009336189,0.0002369172,4.658808e-7,2.684878e-7,0.9535712,0.002962681,0.04282205],"study_design_scores_gemma":[0.000276815,0.00009183435,0.0004693139,0.0002682467,0.0001269826,0.000001707473,0.0001353872,0.005891355,8.686491e-7,0.9870377,0.005428083,0.0002717707],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.0006972662,0.004794937,0.4626544,0.001918001,0.002140614,0.001764314,0.004376433,0.0001667812,0.5214873],"genre_scores_gemma":[0.002573999,0.0009083607,0.9854878,0.0001200727,0.000133484,0.00005556384,0.00002538635,0.0000285927,0.01066671],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5228335,"threshold_uncertainty_score":0.9958498,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402757673","doi":"10.1007/978-3-031-61347-0_4","title":"General, Symmetric and Life IID Samples","year":2024,"lang":"en","type":"book-chapter","venue":"Frontiers in probability and the statistical sciences","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics","authors":[{"name":"Narayanaswamy Balakrishnan","is_ca":true},{"name":"Tomasz Rychlik","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07993053765027897,"gpt":0.3269630128003583,"spread":0.2470324751500794,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.001209898,0.0002121923,0.0004281238,0.0001127097,0.0002868628,0.0001861381,0.000197342,0.000130079,0.0002147701],"category_scores_gemma":[0.003026566,0.0001321338,0.00004302144,0.000175044,0.004513382,0.00005191461,0.0001336384,0.0003131311,0.00001350108],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005186215,"about_ca_system_score_gemma":0.00009178356,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003323836,"about_ca_topic_score_gemma":0.00002004,"domain_scores_codex":[0.9983695,0.00006695183,0.0004757059,0.0005237068,0.0003427126,0.0002214015],"domain_scores_gemma":[0.9971641,0.002355884,0.00009491113,0.0001831053,0.00004666997,0.0001552968],"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":[0.0000151432,0.0000172511,0.00003306694,0.000176842,0.00001896181,0.000001214097,0.00005010999,0.000001410802,4.195451e-8,0.9846343,0.00884182,0.006209875],"study_design_scores_gemma":[0.0002285751,0.00003013103,0.0003326579,0.00006117666,0.00008662977,0.00000357791,0.0000360577,0.01113593,2.102054e-7,0.9773501,0.01057128,0.0001636433],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0001059802,0.00283725,0.7776371,0.004554864,0.0003438382,0.001114427,0.002015759,0.00007905301,0.2113117],"genre_scores_gemma":[0.0392958,0.002183446,0.8890707,0.0007975925,0.0002397351,0.000334951,0.0001739424,0.00005955995,0.0678443],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1434674,"threshold_uncertainty_score":0.9981958,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402757553","doi":"10.1007/978-3-031-61347-0_5","title":"Sampling from Finite Populations","year":2024,"lang":"en","type":"book-chapter","venue":"Frontiers in probability and the statistical sciences","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Sampling (signal processing); Statistics; Environmental science; Computer science; Geography; Mathematics; Computer vision","authors":[{"name":"Narayanaswamy Balakrishnan","is_ca":true},{"name":"Tomasz Rychlik","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1545961286737564,"gpt":0.3699529389206906,"spread":0.2153568102469342,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.000839235,0.0001999416,0.0003759718,0.00006669557,0.0003221223,0.0001624272,0.000232886,0.0001364226,0.0005274126],"category_scores_gemma":[0.002108281,0.0001307487,0.00006096151,0.0001126954,0.002860955,0.0000549531,0.0001034089,0.0003765029,0.00004088589],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007570548,"about_ca_system_score_gemma":0.00006657872,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006736919,"about_ca_topic_score_gemma":0.00008966764,"domain_scores_codex":[0.9983795,0.00005699485,0.0005295436,0.0004983233,0.000335966,0.0001996795],"domain_scores_gemma":[0.996208,0.00332837,0.0001048303,0.0002257035,0.00004435139,0.0000887253],"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":[0.00001437517,0.00001563155,0.00003377905,0.00005039683,0.00001438307,9.850235e-7,0.00008313305,0.0000203833,3.829399e-8,0.9926242,0.002867313,0.004275416],"study_design_scores_gemma":[0.0001884506,0.00001226492,0.0002795228,0.000108702,0.00009340727,7.998061e-7,0.00003614165,0.02709014,1.244084e-7,0.9653762,0.006658766,0.0001554617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00001596088,0.0004257862,0.8804774,0.001975024,0.0003470244,0.0005425215,0.002902751,0.00005582034,0.1132577],"genre_scores_gemma":[0.02031191,0.0001366558,0.9493401,0.0002104593,0.0001371217,0.000163168,0.0004137157,0.00003174277,0.02925513],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.08400261,"threshold_uncertainty_score":0.9998527,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}