找回密碼
 To register

QQ登錄

只需一步,快速開始

掃一掃,訪問微社區(qū)

打印 上一主題 下一主題

Titlebook: Metric Algebraic Geometry; Paul Breiding,Kathlén Kohn,Bernd Sturmfels Textbook‘‘‘‘‘‘‘‘ 2024 The Editor(s) (if applicable) and The Author(s

[復(fù)制鏈接]
查看: 49258|回復(fù): 52
樓主
發(fā)表于 2025-3-21 16:24:58 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Metric Algebraic Geometry
編輯Paul Breiding,Kathlén Kohn,Bernd Sturmfels
視頻videohttp://file.papertrans.cn/633/632456/632456.mp4
概述brings algebraic and differential geometry together in a computational setting.provides a modern view on this connection, motivated by data science and AI.focuses on concrete examples from a wide vari
叢書名稱Oberwolfach Seminars
圖書封面Titlebook: Metric Algebraic Geometry;  Paul Breiding,Kathlén Kohn,Bernd Sturmfels Textbook‘‘‘‘‘‘‘‘ 2024 The Editor(s) (if applicable) and The Author(s
描述.Metric algebraic geometry combines concepts from algebraic geometry and differential geometry. Building on classical foundations, it offers practical tools for the 21st century. Many applied problems center around metric questions, such as optimization with respect to distances..After a short dive into 19th-century geometry of plane curves, we turn to problems expressed by polynomial equations over the real numbers. The solution sets are real algebraic varieties.?Many of our metric problems arise in data science, optimization and statistics. These include minimizing Wasserstein distances in machine learning, maximum likelihood estimation, computing curvature, or minimizing the Euclidean distance to a variety..This book addresses a wide audience of researchers and students and can be used for a one-semester course at the graduate level. The key prerequisite is a solid foundation in undergraduate mathematics, especially in algebra and geometry.. This is an openaccess book..
出版日期Textbook‘‘‘‘‘‘‘‘ 2024
關(guān)鍵詞Algebraic Variety; Data Science; Differential Geometry; Euclidean Distance; Integrals; Maximum Likelihood
版次1
doihttps://doi.org/10.1007/978-3-031-51462-3
isbn_softcover978-3-031-51461-6
isbn_ebook978-3-031-51462-3Series ISSN 1661-237X Series E-ISSN 2296-5041
issn_series 1661-237X
copyrightThe Editor(s) (if applicable) and The Author(s) 2024
The information of publication is updating

書目名稱Metric Algebraic Geometry影響因子(影響力)




書目名稱Metric Algebraic Geometry影響因子(影響力)學(xué)科排名




書目名稱Metric Algebraic Geometry網(wǎng)絡(luò)公開度




書目名稱Metric Algebraic Geometry網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Metric Algebraic Geometry被引頻次




書目名稱Metric Algebraic Geometry被引頻次學(xué)科排名




書目名稱Metric Algebraic Geometry年度引用




書目名稱Metric Algebraic Geometry年度引用學(xué)科排名




書目名稱Metric Algebraic Geometry讀者反饋




書目名稱Metric Algebraic Geometry讀者反饋學(xué)科排名




單選投票, 共有 1 人參與投票
 

0票 0.00%

Perfect with Aesthetics

 

0票 0.00%

Better Implies Difficulty

 

1票 100.00%

Good and Satisfactory

 

0票 0.00%

Adverse Performance

 

0票 0.00%

Disdainful Garbage

您所在的用戶組沒有投票權(quán)限
沙發(fā)
發(fā)表于 2025-3-21 23:42:58 | 只看該作者
板凳
發(fā)表于 2025-3-22 00:50:05 | 只看該作者
Maximum Likelihood,ty distributions, and we used the Wasserstein metric to measure the distance from . to .. Finally, in Chapter 9, we considered the distance from a polynomial system . to the discriminant in the context of numerical analysis.
地板
發(fā)表于 2025-3-22 06:42:05 | 只看該作者
5#
發(fā)表于 2025-3-22 09:02:05 | 只看該作者
6#
發(fā)表于 2025-3-22 13:31:03 | 只看該作者
7#
發(fā)表于 2025-3-22 17:06:59 | 只看該作者
Polar Degrees,cognized this point for Euclidean distance optimization in Section 2.3, and we will see it again in Theorem 5.5 for polyhedral norms, with focus on theWasserstein metric from optimal transport theory. The punchline is that polar degrees govern linear programming over real algebraic varieties.
8#
發(fā)表于 2025-3-22 21:21:23 | 只看該作者
Curvature, curvature. Our main point is to explore how curvature connects to algebraic geometry. We start out with plane curves, and we then turn to more general real algebraic varieties. The third section addresses the fundamental question of how to compute the volume of a tubular neighborhood of a variety.
9#
發(fā)表于 2025-3-23 03:56:56 | 只看該作者
10#
發(fā)表于 2025-3-23 08:05:56 | 只看該作者
 關(guān)于派博傳思  派博傳思旗下網(wǎng)站  友情鏈接
派博傳思介紹 公司地理位置 論文服務(wù)流程 影響因子官網(wǎng) 吾愛論文網(wǎng) 大講堂 北京大學(xué) Oxford Uni. Harvard Uni.
發(fā)展歷史沿革 期刊點(diǎn)評(píng) 投稿經(jīng)驗(yàn)總結(jié) SCIENCEGARD IMPACTFACTOR 派博系數(shù) 清華大學(xué) Yale Uni. Stanford Uni.
QQ|Archiver|手機(jī)版|小黑屋| 派博傳思國際 ( 京公網(wǎng)安備110108008328) GMT+8, 2025-10-8 06:23
Copyright © 2001-2015 派博傳思   京公網(wǎng)安備110108008328 版權(quán)所有 All rights reserved
快速回復(fù) 返回頂部 返回列表
嘉兴市| 彭山县| 嘉峪关市| 瑞丽市| 会东县| 内丘县| 孝感市| 辽宁省| 田东县| 桃源县| 阿拉尔市| 巫山县| 武城县| 洛浦县| 土默特左旗| 兴文县| 嵩明县| 额敏县| 岱山县| 澄城县| 永善县| 汶川县| 嘉义县| 新民市| 大竹县| 潍坊市| 沧州市| 涟源市| 威海市| 宜都市| 巴南区| 化隆| 永仁县| 莒南县| 宣武区| 东辽县| 门源| 清涧县| 大连市| 镇安县| 丁青县|