{"id":"https://openalex.org/W1490735841","doi":"https://doi.org/10.1007/978-3-540-45167-9_35","title":"Using a Linear Fit to Determine Monotonicity Directions","display_name":"Using a Linear Fit to Determine Monotonicity Directions","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1490735841","doi":"https://doi.org/10.1007/978-3-540-45167-9_35","mag":"1490735841"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-45167-9_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45167-9_35","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051863472","display_name":"Malik Magdon\u2010Ismail","orcid":"https://orcid.org/0000-0001-7327-7770"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Malik Magdon-Ismail","raw_affiliation_strings":["Dept. of Computer Science, RPI, Rm 207 Lally, 110 8th Street, Troy, NY, 12180, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, RPI, Rm 207 Lally, 110 8th Street, Troy, NY, 12180, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056504335","display_name":"Joseph Sill","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Joseph Sill","raw_affiliation_strings":["Plumtree Software, 500 Sansome Street, San Francisco, CA, 94111, USA"],"affiliations":[{"raw_affiliation_string":"Plumtree Software, 500 Sansome Street, San Francisco, CA, 94111, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051863472"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09906396,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"477","last_page":"491"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9987000226974487,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9987000226974487,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9944000244140625,"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/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.9034112095832825},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.5981070399284363},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5527634620666504},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5295658707618713},{"id":"https://openalex.org/keywords/linear-model","display_name":"Linear model","score":0.49842238426208496},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49437475204467773},{"id":"https://openalex.org/keywords/mahalanobis-distance","display_name":"Mahalanobis distance","score":0.48600873351097107},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4727400541305542},{"id":"https://openalex.org/keywords/proper-linear-model","display_name":"Proper linear model","score":0.4709765911102295},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41940200328826904},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.28416281938552856},{"id":"https://openalex.org/keywords/bayesian-multivariate-linear-regression","display_name":"Bayesian multivariate linear regression","score":0.1643529236316681},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09454226493835449}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.9034112095832825},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.5981070399284363},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5527634620666504},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5295658707618713},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.49842238426208496},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49437475204467773},{"id":"https://openalex.org/C1921717","wikidata":"https://www.wikidata.org/wiki/Q1334846","display_name":"Mahalanobis distance","level":2,"score":0.48600873351097107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4727400541305542},{"id":"https://openalex.org/C32224588","wikidata":"https://www.wikidata.org/wiki/Q7250175","display_name":"Proper linear model","level":4,"score":0.4709765911102295},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41940200328826904},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28416281938552856},{"id":"https://openalex.org/C64946054","wikidata":"https://www.wikidata.org/wiki/Q4874476","display_name":"Bayesian multivariate linear regression","level":3,"score":0.1643529236316681},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09454226493835449},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-540-45167-9_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45167-9_35","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.57.7205","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.7205","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.rpi.edu/tr/03-03.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.75.4623","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.75.4623","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.rpi.edu/~magdon/ps/conference/colt03.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W182475453","https://openalex.org/W575893171","https://openalex.org/W1481269173","https://openalex.org/W1487202328","https://openalex.org/W1537662695","https://openalex.org/W1576135653","https://openalex.org/W1606091631","https://openalex.org/W1967265600","https://openalex.org/W2033837567","https://openalex.org/W2034818769","https://openalex.org/W2039045151","https://openalex.org/W2055817097","https://openalex.org/W2056099894","https://openalex.org/W2087615570","https://openalex.org/W2105518356","https://openalex.org/W2109603199","https://openalex.org/W2148603752","https://openalex.org/W2293093810","https://openalex.org/W2293457282","https://openalex.org/W2587628976","https://openalex.org/W2602256192","https://openalex.org/W3121629916","https://openalex.org/W3150555252","https://openalex.org/W4233304630","https://openalex.org/W4241746172","https://openalex.org/W4302443071"],"related_works":["https://openalex.org/W3093365844","https://openalex.org/W4311364185","https://openalex.org/W4309298396","https://openalex.org/W2359727656","https://openalex.org/W2023948527","https://openalex.org/W1572348857","https://openalex.org/W2356254167","https://openalex.org/W4230983264","https://openalex.org/W4200124026","https://openalex.org/W4386173010"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}