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The Mori–Zwanzig formulation of deep learning 深度学习的Mori-Zwanzig公式
IF 1.2 3区 数学
Research in the Mathematical Sciences Pub Date : 2022-09-12 DOI: 10.1007/s40687-023-00390-2
D. Venturi, Xiantao Li
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引用次数: 0
Generative modeling via tree tensor network states 通过树张量网络状态生成建模
IF 1.2 3区 数学
Research in the Mathematical Sciences Pub Date : 2022-09-03 DOI: 10.1007/s40687-023-00381-3
Xun Tang, Y. Hur, Y. Khoo, Lexing Ying
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引用次数: 4
Tight closure and strongly F-regular rings 紧闭环和强f正则环
IF 1.2 3区 数学
Research in the Mathematical Sciences Pub Date : 2022-08-22 DOI: 10.1007/s40687-022-00353-z
M. Hochster
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引用次数: 0
Laplacian smoothing gradient descent 拉普拉斯平滑梯度下降
IF 1.2 3区 数学
Research in the Mathematical Sciences Pub Date : 2022-08-12 DOI: 10.1007/s40687-022-00351-1
S. Osher, Bao Wang, Penghang Yin, Xiyang Luo, Farzin Barekat, Minh Pham, A. Lin
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引用次数: 31
Loop space decompositions of $$(2n-2)$$ ( 2 n - 2 ) -c 循环空间分解$$(2n-2)$$ (2n - 2) -c
IF 1.2 3区 数学
Research in the Mathematical Sciences Pub Date : 2022-08-05 DOI: 10.1007/s40687-022-00338-y
R. Huang, S. Theriault
{"title":"Loop space decompositions of \u0000 \u0000 \u0000 \u0000 $$(2n-2)$$\u0000 \u0000 \u0000 (\u0000 2\u0000 n\u0000 -\u0000 2\u0000 )\u0000 \u0000 \u0000 -c","authors":"R. Huang, S. Theriault","doi":"10.1007/s40687-022-00338-y","DOIUrl":"https://doi.org/10.1007/s40687-022-00338-y","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"175 1","pages":"1-24"},"PeriodicalIF":1.2,"publicationDate":"2022-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73442213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
On the growth of Fourier coefficientsof Siegel cusp forms of degree two 二阶西格尔尖峰形式傅里叶系数的增长
IF 1.2 3区 数学
Research in the Mathematical Sciences Pub Date : 2022-07-25 DOI: 10.1007/s40687-022-00348-w
W. Kohnen
{"title":"On the growth of Fourier coefficientsof Siegel cusp forms of degree two","authors":"W. Kohnen","doi":"10.1007/s40687-022-00348-w","DOIUrl":"https://doi.org/10.1007/s40687-022-00348-w","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"59 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80516494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Uniform approximation rates and metric entropy of shallow neural networks 浅层神经网络的均匀逼近率和度量熵
IF 1.2 3区 数学
Research in the Mathematical Sciences Pub Date : 2022-07-19 DOI: 10.1007/s40687-022-00346-y
Limin Ma, Jonathan W. Siegel, Jinchao Xu
{"title":"Uniform approximation rates and metric entropy of shallow neural networks","authors":"Limin Ma, Jonathan W. Siegel, Jinchao Xu","doi":"10.1007/s40687-022-00346-y","DOIUrl":"https://doi.org/10.1007/s40687-022-00346-y","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"61 2 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79269586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Developments in Commutative Algebra: In honor of Jürgen Herzog on the occasion of his 80th Birthday 交换代数的发展:纪念约尔根·赫尔佐格80岁生日
IF 1.2 3区 数学
Research in the Mathematical Sciences Pub Date : 2022-07-11 DOI: 10.1007/s40687-022-00337-z
T. Hibi
{"title":"Developments in Commutative Algebra: In honor of Jürgen Herzog on the occasion of his 80th Birthday","authors":"T. Hibi","doi":"10.1007/s40687-022-00337-z","DOIUrl":"https://doi.org/10.1007/s40687-022-00337-z","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"137 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76811219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the notion of sequentially Cohen–Macaulay modules 关于顺序Cohen-Macaulay模块的概念
IF 1.2 3区 数学
Research in the Mathematical Sciences Pub Date : 2022-07-05 DOI: 10.1007/s40687-022-00332-4
G. Caviglia, Alessandro De Stefani, E. Sbarra, F. Strazzanti
{"title":"On the notion of sequentially Cohen–Macaulay modules","authors":"G. Caviglia, Alessandro De Stefani, E. Sbarra, F. Strazzanti","doi":"10.1007/s40687-022-00332-4","DOIUrl":"https://doi.org/10.1007/s40687-022-00332-4","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"10 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81126933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Bitangents to plane quartics via tropical geometry: rationality, $$mathbb {A}^1$$-enumeration, and real signed count 通过热带几何对平面四分位的处理:合理性，$$mathbb {A}^1$$ -枚举和实数计数
IF 1.2 3区 数学
Research in the Mathematical Sciences Pub Date : 2022-07-04 DOI: 10.1007/s40687-023-00383-1
H. Markwig, S. Payne, Kristin M. Shaw
{"title":"Bitangents to plane quartics via tropical geometry: rationality, $$mathbb {A}^1$$-enumeration, and real signed count","authors":"H. Markwig, S. Payne, Kristin M. Shaw","doi":"10.1007/s40687-023-00383-1","DOIUrl":"https://doi.org/10.1007/s40687-023-00383-1","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"45 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89946996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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