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Skip to Search Results 7Frei, Christoph (Mathematical and Statistical Sciences)
 7Kong, Linglong (Mathematical and Statistical Sciences)
 7Lewis, Mark (Mathematical and Statistical Sciences)
 6Han, Bin (Mathematical and Statistical Sciences)
 6Hillen, Thomas (Mathematical and Statistical Sciences)
 6Mizera, Ivan (Mathematical and Statistical Sciences)

Fall 2019
High dimensional classification has drawn massive attention due to its increasing application in genetic diagnosis, image or speech recognition and financial analysis. Traditional methods such as Linear Discriminant Analysis (LDA) and Quadratic Discriminant Analysis (QDA), which are optimal Bayes...

Fall 2018
Ionizing radiation is widely used in treatment and medical diagnosis. Doses in the range of 1.5 Gy to 10 Gy are used in radiation treatment of cancer. Lower doses (less than 1.5 Gy) are used in medical imaging, and also are incurred by tissues that are near irradiated target volumes. The impact...

A General Framework of Optimal Stochastic Optimization with Dependent Data: Multiple Optimality Guarantee, Sample Complexity, and Tractability
DownloadSpring 2023
We consider stochastic optimization in settings where the distribution of unknown parameters is observable only through finitely dependent training samples. Using the Sample Averaging Approximation ({SAA}), we specifically study the datadriven procedure in which, instead of receiving samples...

Spring 2019
Suppose $X$ is a vector lattice and there is a notion of convergence $x{\alpha} \xrightarrow{\sigma} x$ in $X$. Then we can speak of an ``unbounded" version of this convergence by saying that $x{\alpha} \xrightarrow{u\sigma} x$ if $\lvert x\alphax\rvert \wedge u\xrightarrow{\sigma} 0$ for every...

Fall 2013
Given a conformal superalgebra A over an algebraically closed field k of characteristic zero, a twisted loop conformal superalgebra L based on A has a differential conformal superalgebra structure over the differential Laurent polynomial ring D. In this context, L is a Dm/D–form of A \otimes D...