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Multistep schemes for solving backward stochastic differential equations on GPU GPU上求解倒向随机微分方程的多步格式
IF 2.6
Journal of Mathematics in Industry Pub Date : 2022-01-28 DOI: 10.1186/s13362-021-00118-3
Lorenc Kapllani, L. Teng
{"title":"Multistep schemes for solving backward stochastic differential equations on GPU","authors":"Lorenc Kapllani, L. Teng","doi":"10.1186/s13362-021-00118-3","DOIUrl":"https://doi.org/10.1186/s13362-021-00118-3","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"12 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65846354","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Drift-diffusion models for the simulation of a graphene field effect transistor 用于石墨烯场效应晶体管模拟的漂移扩散模型
IF 2.6
Journal of Mathematics in Industry Pub Date : 2022-01-24 DOI: 10.1186/s13362-022-00120-3
G. Nastasi, V. Romano
{"title":"Drift-diffusion models for the simulation of a graphene field effect transistor","authors":"G. Nastasi, V. Romano","doi":"10.1186/s13362-022-00120-3","DOIUrl":"https://doi.org/10.1186/s13362-022-00120-3","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"12 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65846416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Pattern recognition in data as a diagnosis tool 模式识别在数据中的诊断工具
IF 2.6
Journal of Mathematics in Industry Pub Date : 2022-01-13 DOI: 10.1186/s13362-022-00119-w
Carpio, Ana, Simón, Alejandro, Torres, Alicia, Villa, Luis F.
{"title":"Pattern recognition in data as a diagnosis tool","authors":"Carpio, Ana, Simón, Alejandro, Torres, Alicia, Villa, Luis F.","doi":"10.1186/s13362-022-00119-w","DOIUrl":"https://doi.org/10.1186/s13362-022-00119-w","url":null,"abstract":"Medical data often appear in the form of numerical matrices or sequences. We develop mathematical tools for automatic screening of such data in two medical contexts: diagnosis of systemic lupus erythematosus (SLE) patients and identification of cardiac abnormalities. The idea is first to implement adequate data normalizations and then identify suitable hyperparameters and distances to classify relevant patterns. To this purpose, we discuss the applicability of Plackett-Luce models for rankings to hyperparameter and distance selection. Our tests suggest that, while Hamming distances seem to be well adapted to the study of patterns in matrices representing data from laboratory tests, dynamic time warping distances provide robust tools for the study of cardiac signals. The techniques developed here may set a basis for automatic screening of medical information based on pattern comparison.","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"19 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138526251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An unambiguous cloudiness index for nonwovens 非织造布的明确浊度指数
IF 2.6
Journal of Mathematics in Industry Pub Date : 2022-01-06 DOI: 10.1186/s13362-022-00124-z
M. Godehardt, A. Moghiseh, Christopher Oetjen, J. Ohser, K. Schladitz
{"title":"An unambiguous cloudiness index for nonwovens","authors":"M. Godehardt, A. Moghiseh, Christopher Oetjen, J. Ohser, K. Schladitz","doi":"10.1186/s13362-022-00124-z","DOIUrl":"https://doi.org/10.1186/s13362-022-00124-z","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":" ","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44668692","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
How deep is your model? Network topology selection from a model validation perspective 你的模型有多深?从模型验证的角度进行网络拓扑选择
IF 2.6
Journal of Mathematics in Industry Pub Date : 2022-01-03 DOI: 10.1186/s13362-021-00116-5
N. Nowaczyk, Jörg Kienitz, S. Acar, Qian Liang
{"title":"How deep is your model? Network topology selection from a model validation perspective","authors":"N. Nowaczyk, Jörg Kienitz, S. Acar, Qian Liang","doi":"10.1186/s13362-021-00116-5","DOIUrl":"https://doi.org/10.1186/s13362-021-00116-5","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"12 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65846303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A technique for non-intrusive greedy piecewise-rational model reduction of frequency response problems over wide frequency bands. 宽频带频响问题的非侵入式贪婪分段有理模型约简技术。
IF 2.6
Journal of Mathematics in Industry Pub Date : 2022-01-01 Epub Date: 2022-01-03 DOI: 10.1186/s13362-021-00117-4
Davide Pradovera, Fabio Nobile
{"title":"A technique for non-intrusive greedy piecewise-rational model reduction of frequency response problems over wide frequency bands.","authors":"Davide Pradovera,&nbsp;Fabio Nobile","doi":"10.1186/s13362-021-00117-4","DOIUrl":"https://doi.org/10.1186/s13362-021-00117-4","url":null,"abstract":"<p><p>In the field of model order reduction for frequency response problems, the minimal rational interpolation (MRI) method has been shown to be quite effective. However, in some cases, numerical instabilities may arise when applying MRI to build a surrogate model over a large frequency range, spanning several orders of magnitude. We propose a strategy to overcome these instabilities, replacing an unstable global MRI surrogate with a union of stable local rational models. The partitioning of the frequency range into local frequency sub-ranges is performed automatically and adaptively, and is complemented by a (greedy) adaptive selection of the sampled frequencies over each sub-range. We verify the effectiveness of our proposed method with two numerical examples.</p>","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"12 1","pages":"2"},"PeriodicalIF":2.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8724177/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39827391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Geometry of Deep Learning 深度学习的几何学
IF 2.6
Journal of Mathematics in Industry Pub Date : 2022-01-01 DOI: 10.1007/978-981-16-6046-7
Jong-Chul Ye
{"title":"Geometry of Deep Learning","authors":"Jong-Chul Ye","doi":"10.1007/978-981-16-6046-7","DOIUrl":"https://doi.org/10.1007/978-981-16-6046-7","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"54 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88452807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Progress in Industrial Mathematics at ECMI 2021 工业数学在ECMI 2021的进展
IF 2.6
Journal of Mathematics in Industry Pub Date : 2022-01-01 DOI: 10.1007/978-3-319-63082-3
Franziska Abend
{"title":"Progress in Industrial Mathematics at ECMI 2021","authors":"Franziska Abend","doi":"10.1007/978-3-319-63082-3","DOIUrl":"https://doi.org/10.1007/978-3-319-63082-3","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"10 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79085356","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Novel Mathematics Inspired by Industrial Challenges 受工业挑战启发的新颖数学
IF 2.6
Journal of Mathematics in Industry Pub Date : 2022-01-01 DOI: 10.1007/978-3-030-96173-2
{"title":"Novel Mathematics Inspired by Industrial Challenges","authors":"","doi":"10.1007/978-3-030-96173-2","DOIUrl":"https://doi.org/10.1007/978-3-030-96173-2","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"83 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73912807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Topology optimization subject to additive manufacturing constraints 受增材制造约束的拓扑优化
IF 2.6
Journal of Mathematics in Industry Pub Date : 2021-11-07 DOI: 10.1186/s13362-021-00115-6
Moritz Ebeling-Rump, D. Hömberg, Robert Lasarzik, Thomas Petzold
{"title":"Topology optimization subject to additive manufacturing constraints","authors":"Moritz Ebeling-Rump, D. Hömberg, Robert Lasarzik, Thomas Petzold","doi":"10.1186/s13362-021-00115-6","DOIUrl":"https://doi.org/10.1186/s13362-021-00115-6","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"2022 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2021-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65846743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
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