{"id":"https://openalex.org/W2945309743","doi":"https://doi.org/10.48550/arxiv.1905.05865","title":"Nonlinear Semi-Parametric Models for Survival Analysis","display_name":"Nonlinear Semi-Parametric Models for Survival Analysis","publication_year":2019,"publication_date":"2019-05-14","ids":{"openalex":"https://openalex.org/W2945309743","doi":"https://doi.org/10.48550/arxiv.1905.05865","mag":"2945309743"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1905.05865","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1905.05865","pdf_url":"https://arxiv.org/pdf/1905.05865","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1905.05865","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035844932","display_name":"Chirag Nagpal","orcid":"https://orcid.org/0000-0003-2212-5392","observed_orcids":["https://orcid.org/0000-0003-2212-5392"]},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nagpal, Chirag","raw_affiliation_strings":["Carnegie Mellon University , Pittsburgh , PA , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University , Pittsburgh , PA , USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005317544","display_name":"Rohan Sangave","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sangave, Rohan","raw_affiliation_strings":["Carnegie Mellon University , Pittsburgh , PA , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University , Pittsburgh , PA , USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083901585","display_name":"Amit Chahar","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chahar, Amit","raw_affiliation_strings":["Carnegie Mellon University , Pittsburgh , PA , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University , Pittsburgh , PA , USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Shah, Parth","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shah, Parth","raw_affiliation_strings":["Carnegie Mellon University , Pittsburgh , PA , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University , Pittsburgh , PA , USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037154494","display_name":"Artur W. Dubrawski","orcid":"https://orcid.org/0000-0002-2372-0831","observed_orcids":["https://orcid.org/0000-0002-2372-0831"]},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dubrawski, Artur","raw_affiliation_strings":["Carnegie Mellon University , Pittsburgh , PA , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University , Pittsburgh , PA , USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113017615","display_name":"Bhiksha Raj","orcid":"https://orcid.org/0000-0003-0038-5513","observed_orcids":["https://orcid.org/0000-0003-0038-5513"]},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Raj, Bhiksha","raw_affiliation_strings":["Carnegie Mellon University , Pittsburgh , PA , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University , Pittsburgh , PA , USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.8525000214576721,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.8525000214576721,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.04910000041127205,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13702","display_name":"Machine Learning in Healthcare","score":0.02969999983906746,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cox-proportional-hazards-model","display_name":"Cox proportional hazards model","score":0.8489999771118164},{"id":"https://openalex.org/keywords/mixture-of-experts","display_name":"mixture of experts","score":0.9390000104904175},{"id":"https://openalex.org/keywords/interpretable-models","display_name":"interpretable models","score":0.6850000023841858},{"id":"https://openalex.org/keywords/baseline-hazard","display_name":"baseline hazard","score":0.6380000114440918},{"id":"https://openalex.org/keywords/model-complexity","display_name":"model complexity","score":0.37299999594688416}],"concepts":[{"id":"https://openalex.org/C119043178","wikidata":"https://www.wikidata.org/wiki/Q320723","display_name":"Covariate","level":2,"score":0.8577405214309692},{"id":"https://openalex.org/C50382708","wikidata":"https://www.wikidata.org/wiki/Q223218","display_name":"Proportional hazards model","level":2,"score":0.7905449867248535},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6858954429626465},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6700192093849182},{"id":"https://openalex.org/C10515644","wikidata":"https://www.wikidata.org/wiki/Q543310","display_name":"Survival analysis","level":2,"score":0.6265178918838501},{"id":"https://openalex.org/C49261128","wikidata":"https://www.wikidata.org/wiki/Q1132455","display_name":"Hazard","level":2,"score":0.5410766005516052},{"id":"https://openalex.org/C24574437","wikidata":"https://www.wikidata.org/wiki/Q7135228","display_name":"Parametric model","level":3,"score":0.5309419631958008},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.5197617411613464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4799825847148895},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.47868233919143677},{"id":"https://openalex.org/C78297888","wikidata":"https://www.wikidata.org/wiki/Q7449607","display_name":"Semiparametric model","level":3,"score":0.46655505895614624},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46576523780822754},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.46343713998794556},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.45074161887168884},{"id":"https://openalex.org/C207103383","wikidata":"https://www.wikidata.org/wiki/Q3930246","display_name":"Hazard ratio","level":3,"score":0.42771464586257935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37049514055252075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1939387023448944},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.07263198494911194},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06347951292991638},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:1905.05865","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1905.05865","pdf_url":"https://arxiv.org/pdf/1905.05865","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2945309743","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1905.05865","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1905.05865","doi":"https://doi.org/10.48550/arxiv.1905.05865","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1905.05865","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1905.05865","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1905.05865","pdf_url":"https://arxiv.org/pdf/1905.05865","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1522301498","https://openalex.org/W1580788756","https://openalex.org/W1665214252","https://openalex.org/W1995945562","https://openalex.org/W2005895632","https://openalex.org/W2008110616","https://openalex.org/W2012289572","https://openalex.org/W2025653905","https://openalex.org/W2109116465","https://openalex.org/W2110992644","https://openalex.org/W2126436234","https://openalex.org/W2148291626","https://openalex.org/W2150459579","https://openalex.org/W2150884987","https://openalex.org/W2236833089","https://openalex.org/W2594475271","https://openalex.org/W2625712209","https://openalex.org/W2747986904","https://openalex.org/W2753919178","https://openalex.org/W2797563284","https://openalex.org/W3099478002"],"related_works":["https://openalex.org/W2588286948","https://openalex.org/W2963224605","https://openalex.org/W3044906356","https://openalex.org/W2506178583","https://openalex.org/W2144270949","https://openalex.org/W3124223019","https://openalex.org/W2134722724","https://openalex.org/W2081828546","https://openalex.org/W3091837769","https://openalex.org/W2164184130","https://openalex.org/W1751358800","https://openalex.org/W2154693117","https://openalex.org/W2331507224","https://openalex.org/W2153809868","https://openalex.org/W1970640490","https://openalex.org/W1988565423","https://openalex.org/W3159813671","https://openalex.org/W2118775511","https://openalex.org/W2885114093","https://openalex.org/W2808600279"],"abstract_inverted_index":{"Semi-parametric":[0],"survival":[1,18,73],"analysis":[2,74],"methods":[3,21],"like":[4],"the":[5,25,32,44,56],"Cox":[6],"Proportional":[7],"Hazards":[8],"(CPH)":[9],"regression":[10],"(Cox,":[11],"1972)":[12],"are":[13,35],"a":[14,29],"popular":[15],"approach":[16],"for":[17,72],"analysis.":[19],"These":[20],"involve":[22],"fitting":[23],"of":[24,31,43,55,86],"log-proportional":[26],"hazard":[27,46],"as":[28,37],"function":[30],"covariates":[33,58],"and":[34,59,75],"convenient":[36],"they":[38],"do":[39],"not":[40],"require":[41],"estimation":[42],"baseline":[45],"rate.":[47],"Recent":[48],"approaches":[49],"have":[50],"involved":[51],"learning":[52],"non-linear":[53],"representations":[54],"input":[57],"demonstrate":[60,77],"improved":[61],"performance.":[62],"In":[63],"this":[64],"paper":[65],"we":[66],"argue":[67],"against":[68],"such":[69,97],"deep":[70,100],"parameterizations":[71],"experimentally":[76],"that":[78],"more":[79],"interpretable":[80],"semi-parametric":[81],"models":[82],"inspired":[83],"from":[84],"mixtures":[85],"experts":[87],"perform":[88],"equally":[89],"well":[90],"or":[91],"in":[92],"some":[93],"cases":[94],"better":[95],"than":[96],"overly":[98],"parameterized":[99],"models.":[101]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}