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Topics in Analysis and Geometric Measure Theory — NSF Award to Georgia Tech Research Corporation (GA, $253,498)

A basic principle in statistics and data science is that high-dimensional data can often be analyzed efficiently when it depends on only a few significant features. In analysis and geometric measure theory, an analogous question is whether an infinite set of points in space can be well-parameterized by a small number o

Award titleTopics in Analysis and Geometric Measure Theory
Award ID2453251
AwardeeGeorgia Tech Research Corporation
CityATLANTA
StateGA
Amount obligated$253,498
Principal investigatorBenjamin Jaye
ProgramANALYSIS PROGRAM
Start date08/01/2025
AbstractA basic principle in statistics and data science is that high-dimensional data can often be analyzed efficiently when it depends on only a few significant features. In analysis and geometric measure theory, an analogous question is whether an infinite set of points in space can be well-parameterized by a small number of variables—a property known as rectifiability. Determining whether a set is rectifiable is fundamental in analysis, and this project will develop new techniques to better understa
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