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Feature learning and generalization error analysis of two-layer linear neural networks for high-dimensional inputs 高维输入双层线性神经网络的特征学习和泛化误差分析
Information geometry Pub Date : 2024-07-28 DOI: 10.1007/s41884-024-00142-3
Hayato Nishimori, Taiji Suzuki
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引用次数: 0
Robust estimation for kernel exponential families with smoothed total variation distances 具有平滑总变异距离的核指数族的稳健估计
Information geometry Pub Date : 2024-07-27 DOI: 10.1007/s41884-024-00141-4
Takafumi Kanamori, Kodai Yokoyama, Takayuki Kawashima
{"title":"Robust estimation for kernel exponential families with smoothed total variation distances","authors":"Takafumi Kanamori, Kodai Yokoyama, Takayuki Kawashima","doi":"10.1007/s41884-024-00141-4","DOIUrl":"https://doi.org/10.1007/s41884-024-00141-4","url":null,"abstract":"","PeriodicalId":93762,"journal":{"name":"Information geometry","volume":"5 38","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141797667","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
Infinite-dimensional distances and divergences between positive definite operators, Gaussian measures, and Gaussian processes 正定算子、高斯度量和高斯过程之间的无穷维距离和发散
Information geometry Pub Date : 2024-05-21 DOI: 10.1007/s41884-024-00134-3
Hà Quang Minh
{"title":"Infinite-dimensional distances and divergences between positive definite operators, Gaussian measures, and Gaussian processes","authors":"Hà Quang Minh","doi":"10.1007/s41884-024-00134-3","DOIUrl":"https://doi.org/10.1007/s41884-024-00134-3","url":null,"abstract":"","PeriodicalId":93762,"journal":{"name":"Information geometry","volume":"51 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141113198","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
Dually flat structure of binary choice models 二元选择模型的双平面结构
Information geometry Pub Date : 2024-05-18 DOI: 10.1007/s41884-024-00136-1
Hisatoshi Tanaka
{"title":"Dually flat structure of binary choice models","authors":"Hisatoshi Tanaka","doi":"10.1007/s41884-024-00136-1","DOIUrl":"https://doi.org/10.1007/s41884-024-00136-1","url":null,"abstract":"","PeriodicalId":93762,"journal":{"name":"Information geometry","volume":"119 22","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141125341","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
On the complete integrability of gradient systems on manifold of the beta family of the first kind 论第一类贝塔族流形上梯度系统的完全可积分性
Information geometry Pub Date : 2024-01-29 DOI: 10.1007/s41884-023-00130-z
Prosper Rosaire Mama Assandje, Joseph Dongho, Thomas Bouetou Bouetou
{"title":"On the complete integrability of gradient systems on manifold of the beta family of the first kind","authors":"Prosper Rosaire Mama Assandje, Joseph Dongho, Thomas Bouetou Bouetou","doi":"10.1007/s41884-023-00130-z","DOIUrl":"https://doi.org/10.1007/s41884-023-00130-z","url":null,"abstract":"","PeriodicalId":93762,"journal":{"name":"Information geometry","volume":"10 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140489466","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
Foreword: Half a Century of Information Geometry 前言：半个世纪的信息几何
Information geometry Pub Date : 2023-12-21 DOI: 10.1007/s41884-023-00128-7
S. Amari
{"title":"Foreword: Half a Century of Information Geometry","authors":"S. Amari","doi":"10.1007/s41884-023-00128-7","DOIUrl":"https://doi.org/10.1007/s41884-023-00128-7","url":null,"abstract":"","PeriodicalId":93762,"journal":{"name":"Information geometry","volume":"56 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138951738","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
Half a century of information geometry, part 1 信息几何半个世纪，第 1 部分
Information geometry Pub Date : 2023-12-21 DOI: 10.1007/s41884-023-00127-8
Hiroshi Matsuzoe
{"title":"Half a century of information geometry, part 1","authors":"Hiroshi Matsuzoe","doi":"10.1007/s41884-023-00127-8","DOIUrl":"https://doi.org/10.1007/s41884-023-00127-8","url":null,"abstract":"","PeriodicalId":93762,"journal":{"name":"Information geometry","volume":"69 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138953040","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
Correction: Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport 更正：福克-普朗克方程的几何热力学：信息几何与最佳传输之间的随机热力学联系
Information geometry Pub Date : 2023-11-29 DOI: 10.1007/s41884-023-00119-8
Sosuke Ito
{"title":"Correction: Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport","authors":"Sosuke Ito","doi":"10.1007/s41884-023-00119-8","DOIUrl":"https://doi.org/10.1007/s41884-023-00119-8","url":null,"abstract":"","PeriodicalId":93762,"journal":{"name":"Information geometry","volume":"19 1","pages":"679-683"},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139212923","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
Estimation with infinite-dimensional exponential family and Fisher divergence 无限维指数族估计与Fisher散度
Information geometry Pub Date : 2023-11-13 DOI: 10.1007/s41884-023-00122-z
Kenji Fukumizu
{"title":"Estimation with infinite-dimensional exponential family and Fisher divergence","authors":"Kenji Fukumizu","doi":"10.1007/s41884-023-00122-z","DOIUrl":"https://doi.org/10.1007/s41884-023-00122-z","url":null,"abstract":"Abstract Infinite dimensional exponential families have been theoretically studied, but their practical applications are still limited because empirical estimation is not straightforward. This paper first gives a brief survey of studies on the estimation method for infinite-dimensional exponential families. The method uses score matching, which is based on the Fisher divergence. The second topic is to investigate the Fisher divergence as a member of an extended family of divergences, which employ operators in defining divergences.","PeriodicalId":93762,"journal":{"name":"Information geometry","volume":"60 13","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136283583","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
Legendre duality: from thermodynamics to information geometry 勒让德对偶:从热力学到信息几何
Information geometry Pub Date : 2023-11-08 DOI: 10.1007/s41884-023-00121-0
Jan Naudts, Jun Zhang
{"title":"Legendre duality: from thermodynamics to information geometry","authors":"Jan Naudts, Jun Zhang","doi":"10.1007/s41884-023-00121-0","DOIUrl":"https://doi.org/10.1007/s41884-023-00121-0","url":null,"abstract":"","PeriodicalId":93762,"journal":{"name":"Information geometry","volume":" 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135340703","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
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