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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 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2022-01-28 DOI: 10.1186/s13362-021-00118-3
Lorenc Kapllani, L. Teng
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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 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2022-01-24 DOI: 10.1186/s13362-022-00120-3
G. Nastasi, V. Romano
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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 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
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.
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.
医学数据通常以数值矩阵或序列的形式出现。我们开发数学工具自动筛选这些数据在两种医学背景:诊断系统性红斑狼疮(SLE)患者和识别心脏异常。其思想是首先实现充分的数据规范化，然后确定合适的超参数和距离来分类相关模式。为此，我们讨论了Plackett-Luce排序模型在超参数和距离选择中的适用性。我们的测试表明，虽然汉明距离似乎很好地适应于研究表示实验室测试数据的矩阵模式，但动态时间扭曲距离为心脏信号的研究提供了强大的工具。本文开发的技术可为基于模式比较的医学信息自动筛选奠定基础。
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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 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
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
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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 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
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
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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 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
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

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.

在频率响应问题的模型降阶领域，最小有理插值(MRI)方法已被证明是非常有效的。然而，在某些情况下，当应用MRI在跨越几个数量级的大频率范围内建立替代模型时，可能会出现数值不稳定性。我们提出了一种克服这些不稳定性的策略，用稳定的局部理性模型联合取代不稳定的全局MRI代理。自动自适应地将频率范围划分为局部频率子范围，并对每个子范围的采样频率进行(贪婪)自适应选择。通过两个算例验证了所提方法的有效性。
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引用次数: 2
Geometry of Deep Learning 深度学习的几何学
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2022-01-01 DOI: 10.1007/978-981-16-6046-7
Jong-Chul Ye
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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 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
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 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2022-01-01 DOI: 10.1007/978-3-030-96173-2
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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 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
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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