{"meta":{"query_hash":"1abdc42b58a7","filters":{"venue":"Topological Methods in Nonlinear Analysis"},"cohort_total":3,"direct_labels_cover":0,"predictions_cover":3,"exported":3,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/1abdc42b58a7","api":"https://metacan.xera.ac/api/v1/cohort?venue=Topological+Methods+in+Nonlinear+Analysis"},"results":[{"id":"W2546599874","doi":"10.12775/tmna.2001.039","title":"Recursive coboundary formula for cycles in acyclic chain complexes","year":2001,"lang":"en","type":"article","venue":"Topological Methods in Nonlinear Analysis","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homomorphism; Mathematics; Chain (unit); Algebraic number; Homology (biology); Computation; Algebraic structure; Nonlinear system; Discrete mathematics; Algebra over a field; Pure mathematics; Algorithm","score_opus":0.06724515990375672,"score_gpt":0.42641321932919873,"score_spread":0.359168059425442,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2546599874","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.067062,0.00050651806,0.9282378,0.002827359,0.00008336598,0.00027991465,0.000049267754,0.00010401214,0.0008497742],"genre_scores_gemma":[0.099989064,0.00025784536,0.8982981,0.00079476926,0.000091274494,0.000082806335,0.00007990639,0.000008142357,0.00039813636],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9959289,0.0009874362,0.00093502935,0.0010452223,0.0003162954,0.0007871285],"domain_scores_gemma":[0.9954854,0.00314065,0.00022943028,0.00085296977,0.00010561223,0.0001859024],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003200542,0.0003210967,0.0012332818,0.0020381073,0.00017267131,0.00014722608,0.0016639098,0.00028299505,0.0003608614],"category_scores_gemma":[0.0023788828,0.00023855157,0.00069001724,0.011674297,0.00029636646,0.0003276102,0.0005398077,0.0003874451,0.00001677063],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028602025,0.0022923027,0.16020486,0.000038680806,0.001346118,0.00035066533,0.0006974582,0.006565091,0.00071130117,0.19392459,0.00016652413,0.6334164],"study_design_scores_gemma":[0.0016262647,0.0005312575,0.10859116,0.000017938355,0.0005089018,0.00002095868,0.0005171043,0.46487865,0.00086773233,0.39501527,0.02641466,0.0010101141],"about_ca_topic_score_codex":0.0005971935,"about_ca_topic_score_gemma":0.0010127254,"teacher_disagreement_score":0.6324063,"about_ca_system_score_codex":0.0001191037,"about_ca_system_score_gemma":0.0000330322,"threshold_uncertainty_score":0.97278506},"labels":[],"label_agreement":null},{"id":"W2791091182","doi":"10.12775/tmna.2017.053","title":"Schauder's Theorem and the method of a priori bounds","year":2018,"lang":"en","type":"article","venue":"Topological Methods in Nonlinear Analysis","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Mathematical proof; Fixed-point theorem; Schauder fixed point theorem; Coincidence point; A priori and a posteriori; Coincidence; Regular polygon; A priori estimate; Simple (philosophy); Brouwer fixed-point theorem; Pure mathematics; Nonlinear system; Applied mathematics; Mathematical analysis","score_opus":0.06949125604502325,"score_gpt":0.47504014739368,"score_spread":0.40554889134865674,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2791091182","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06092896,0.00015345622,0.93540794,0.00077468844,0.000045968158,0.00021616128,0.0000141028095,0.00003867006,0.002420046],"genre_scores_gemma":[0.09396587,0.000047371945,0.9052316,0.00010918532,0.00015513824,0.000019024363,0.000004805182,0.000014874792,0.00045211104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9945223,0.0034535578,0.00092967536,0.0004593384,0.00033094393,0.00030424012],"domain_scores_gemma":[0.9920079,0.0064760726,0.00038875372,0.00078622025,0.00026054383,0.00008048599],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.008504657,0.00023642129,0.0012505008,0.0005923008,0.00015752683,0.000049939383,0.00044111483,0.00020181034,0.0010155244],"category_scores_gemma":[0.0059642717,0.00013328502,0.00058569125,0.00306148,0.0015449782,0.00005709641,0.00027833815,0.00031981323,0.0000043539676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00045911217,0.000615587,0.0063309697,0.00006363944,0.0045053856,0.0000053123676,0.002076036,0.000047600977,0.001866814,0.9001272,0.000018147713,0.08388421],"study_design_scores_gemma":[0.0010889773,0.00011369486,0.0013768311,0.000012365642,0.0037610752,0.00000470457,0.0006539984,0.23156205,0.0037087868,0.75712216,0.00036719802,0.00022813721],"about_ca_topic_score_codex":0.0002974362,"about_ca_topic_score_gemma":0.00049652194,"teacher_disagreement_score":0.23151445,"about_ca_system_score_codex":0.000032903896,"about_ca_system_score_gemma":0.00003339726,"threshold_uncertainty_score":0.99989766},"labels":[],"label_agreement":null},{"id":"W4399758678","doi":"10.12775/tmna.2025.020","title":"Analyzing multifiltering functions using multiparameter Discrete Morse Theory","year":2025,"lang":"en","type":"preprint","venue":"Topological Methods in Nonlinear Analysis","topic":"Aerosol Filtration and Electrostatic Precipitation","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Morse code; Mathematics; Discrete Morse theory; Mathematical economics; Morse theory; Computer science; Applied mathematics; Pure mathematics","score_opus":0.05619482221590168,"score_gpt":0.40993563610097417,"score_spread":0.3537408138850725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399758678","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.083146095,0.0003632531,0.9144704,0.000046274967,0.00045907727,0.00026849646,0.0001595203,0.0003095824,0.0007773192],"genre_scores_gemma":[0.11464245,0.00009981322,0.8841259,0.00007556453,0.00010857693,0.00007590188,0.00033200136,0.00002692761,0.00051286566],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99658895,0.0011494275,0.0009565643,0.0006657012,0.00017072851,0.00046863031],"domain_scores_gemma":[0.9977722,0.0012332012,0.0001536981,0.0006460839,0.00008683673,0.00010799192],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00174692,0.00045797418,0.0010442716,0.00105725,0.00011825457,0.000114206494,0.00034428854,0.0005468954,0.00037348506],"category_scores_gemma":[0.0008735229,0.00042253936,0.0006470862,0.0017221747,0.00012505216,0.00010057324,0.00028949208,0.0012203471,0.000008707598],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003020201,0.000038027883,0.0020150105,0.00010554222,0.0012934129,0.0000061846595,0.00030379923,0.9817216,0.004133721,0.00017488473,0.000006805089,0.010170839],"study_design_scores_gemma":[0.00016773523,0.000013423103,0.0011487482,0.00005492586,0.0013966595,8.671788e-7,0.00016382874,0.9905342,0.0018802178,0.0041494463,0.000064945394,0.00042500522],"about_ca_topic_score_codex":0.00013918163,"about_ca_topic_score_gemma":0.00012891066,"teacher_disagreement_score":0.031496353,"about_ca_system_score_codex":0.00027750887,"about_ca_system_score_gemma":0.00004373607,"threshold_uncertainty_score":0.9998226},"labels":[],"label_agreement":null}]}