CBMS Regional Research Conference on Topological Data Analysis

CBMS 拓扑数据分析区域研究会议

• 批准号: 1642637
• 负责人: Lori Ziegelmeier
• 金额: $ 3.43万
• 依托单位: Macalester College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1642637&HistoricalAwards=false
• 关键词: CBMS; Regional; Research; Conference; Topological

The conference, "Topological Data Analysis: Theory and Applications," will take place at Macalaster College (St. Paul, MN) from June 12-16, 2017. Topological Data Analysis (TDA) is a relatively recent and quickly-developing area of research at the intersection of mathematics, statistics, and computer science. The goal of the conference is to encourage research in TDA by faculty and students, especially at primarily undergraduate institutions, who might not have prior experience with TDA. As such, this conference will attract faculty, graduate students, and advanced undergraduates from colleges and universities across the upper Midwestern states. The conference is designed to equip attendees with not only the theoretical framework of TDA, but also practical computational tools, providing points of entry so that faculty and students from diverse settings can begin research in topological data analysis and incorporate this work into their teaching. The conference will spur new research collaborations between institutions and across disciplines. The resulting monograph, prepared by principal lecturer Dr. Vin de Silva, Associate Professor of Mathematics at Pomona College, should be of interest to mathematicians, scientists and students. In recent years, Topological Data Analysis (TDA) has attracted widespread interest from mathematicians and scientists looking for new tools to analyze ever increasing amounts of complex data arising from neuroscience, digital imaging, genetics, biological aggregations, sensor networks, cancer research, and other areas. The intellectual appeal of TDA arises from its combination of advanced mathematics, cutting-edge algorithms, and practical applications. Yet, despite its mathematical sophistication, TDA methodology is surprisingly intuitive and lends itself well to research with students, even at the undergraduate level. The principal lecturer at this conference will be Dr. Vin de Silva who has been a key contributor to the development of TDA. Lecture topics will include winding numbers, simplicial homology and cohomology, the persistence algorithm, stability theorems, zigzag persistence, category theory and generalized persistence, and Reeb cosheaves. In addition to lectures, the conference will feature lab sessions that will offer participants hands-on experience analyzing real data using state-of-the-art TDA software, as well as a poster session highlighting TDA research involving students. This conference will focus on mathematics and computation rather than statistics, and it will emphasize research in the setting of primarily undergraduate institutions.Information about the conference is available at http://pages.stolaf.edu/tda-conference/

会议“拓扑数据分析：理论和应用”将于2017年6月12日至16日在麦卡拉斯特学院（明尼苏达州圣保罗）举行。拓扑数据分析（TDA）是一个相对较新的，快速发展的研究领域，在数学，统计学，统计学，计算机科学的交集。会议的目的是鼓励教职员工和学生在TDA进行研究，尤其是在主要是本科机构，他们可能没有TDA经验。因此，这次会议将吸引来自中西部上州的大学和大学的教职员工，研究生和高级本科生。该会议旨在为与会者提供不仅是TDA的理论框架，还为实用的计算工具提供了入学点，以便来自不同环境的教师和学生可以开始研究拓扑数据分析，并将这项工作纳入他们的教学中。该会议将刺激机构与跨学科之间的新研究合作。由Pomona College数学副教授Vin De Silva博士准备的主要专着，应该对数学家，科学家和学生感兴趣。近年来，拓扑数据分析（TDA）引起了数学家和寻求新工具的广泛兴趣，以分析由神经科学，数字成像，遗传学，生物聚合，传感器网络，癌症研究和其他领域分析不断增加的复杂数据。 TDA的智力吸引力源于其高级数学，尖端算法和实际应用的结合。然而，尽管它具有数学成就，但TDA方法论令人惊讶地直观，即使在本科层面也可以很好地与学生进行研究。这次会议的主要讲师将是Vin de Silva博士，他是TDA发展的关键贡献者。讲座主题将包括绕组数字，简单同源性和共同体学，持久性算法，稳定定理，曲折的持久性，类别理论和广义持久性以及Reeb Cosheaves。除演讲外，会议还将举办实验室会议，将为参与者提供动手实践经验，并使用最先进的TDA软件来分析真实数据，并举办一场海报会议，强调涉及学生的TDA研究。这次会议将重点关注数学和计算而不是统计数据，它将在主要是本科机构的情况下强调研究。有关会议的信息可在http://pages.stolaf.edu/tda-conference/