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Topics in high-dimensional approximation theory

Abstract Details

2018, Doctor of Philosophy, Ohio State University, Mathematics.
Several topics in high-dimensional approximation theory are discussed. The fundamental problem in approximation theory is to approximate an unknown function, called the target function by using its data/samples/observations. Depending on different scenarios on the data collection, different approximation techniques need to be sought in order to utilize the data properly. This dissertation is concerned with four different approximation methods in four different scenarios in data.
Dongbin Xiu (Advisor)
Ching-Shan Chou (Committee Member)
Chuan Xue (Committee Member)
217 p.

Recommended Citations

Citations

  • Shin, Y. (2018). Topics in high-dimensional approximation theory [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1522409269317227

    APA Style (7th edition)

  • Shin, Yeonjong. Topics in high-dimensional approximation theory. 2018. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1522409269317227.

    MLA Style (8th edition)

  • Shin, Yeonjong. "Topics in high-dimensional approximation theory." Doctoral dissertation, Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1522409269317227

    Chicago Manual of Style (17th edition)