Thesis Synopsis
نویسنده
چکیده
My research concerns the theoretical foundations of topological data analysis (TDA). Work done in the last several years on theory and applications of TDA has demonstrated that TDA offers a principled, flexible, and computationally viable framework for studying coarse-scale global geometric features of data [17, 26, 13, 7, 11, 10, 8, 24]. Moreover, the tools of TDA have proven to be very well suited to a wide variety of applications [16, 3, 10, 25, 17, 2, 12, 23]. Nevertheless, in a number of important ways, TDA remains immature as a data analysis methodology. I believe that a more fully developed methodology for TDA, supported by good theory, would greatly broaden the utility and appeal of these tools to statisticians and scientists, and would thus hasten the discovery of applications of TDA to the sciences. My basic goal as a researcher is to contribute to the theoretical foundations of TDA, with a view towards advancing TDA methodology.
منابع مشابه
Mphil/phd Transfer Report
/2 >list >10 let thesis$ = "1" >20 let antithesis$ = "0" >30 LET synthesis$ = (thesis$ + antithesis$) + synthesis$ >40 print synthesis$ >50 goto 30 >run saved dialectics.bas antithesis: the dialectics of generative art (as praxis) INDEX: synopsis 1. introduction (technology and culture)
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