MSRI-UP: Topological Data Analysis

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The MSRI Undergraduate Program (MSRI--UP) is an award-winning comprehensive summer program designed for undergraduate students who have completed two years of university-level mathematics courses and would like to conduct research in the mathematical sciences.<p>The main objective of the MSRI-UP is to identify talented students, especially those from underrepresented groups (including women and gender-expansive individuals), who are interested in mathematics and make available to them meaningful research opportunities, the necessary skills and knowledge to participate in successful collaborations, and a community of academic peers and mentors who can advise, encourage and support them through a successful graduate program.<p>The theme of the upcoming MSRI-UP is "Topological Data Analysis" and the research leader is Dr. Jose Perea, Associate Professor in the Department of Mathematics and the Khoury College of Computer Sciences at Northeastern University.<p>Topology is the branch of mathematics concerned with the study of abstract shapes. For most of its history it has been a purely theoretical discipline, but this has changed over the last couple of decades. Recently, topology has shown to be a powerful framework to tackle problems in data science, machine learning and engineering. The research program of the MSRI-UP on Topological Data Analysis will focus on how ideas from classic algebraic topology - like (co)homology and other descriptors - can be used in machine learning tasks such as dimensionality reduction, time series analysis and data alignment. Participants will contribute to research projects ranging from the needed mathematical foundations, to their algorithmic implementation, and subsequent application to specific scientific domains.

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MSRI-UP: Topological Data Analysis

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