Acknowledgments First and foremost, I would like to thank my advisors, Steve Altschuler and Lani Wu. In addition to suggesting to me a rich and interesting thesis topic, and advising me as I wrote about it, Steve and Lani have deeply informed my view of what it is to be a mathematician and a scientist. My work with them, both during the summer and on this thesis, has influenced my academic and ...

An extension for univariate kernels that deals with missing values is proposed. These extended kernels are shown to be valid Mercer kernels and can adapt to many types of variables, such as categorical or continuous. The proposed kernels are tested against standard RBF kernels in a variety of benchmark problems showing different amounts of missing values and variable types. Our experimental res...

a Division of Basic Medical Sciences, Mercer University School of Medicine, Macon, GA 31207, USA b Department of Anthropology, Kent State University, Kent, OH 44242, USA c Department of Anatomy, Northeastern Ohio Universities College of Medicine, Rootstown, OH 44272, USA d Division of Biomedical Sciences, Kent State University, Kent, OH 44242, USA e Department of Cell Biology, Division of Physi...

Z. Gimbutas1, L. Greengard2 and S. Veerapaneni3† Information Technology Laboratory, National Institute of Standards and Technology, 325 Broadway, Mail Stop 891.01, Boulder, CO 80305-3328, USA Simons Center for Data Analysis, Simons Foundation, 160 Fifth Avenue, NY, NY 10010 and Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012-1110, USA Depar...

An Integral Evolution Formula for the Wave Equation Bradley Alpert,∗,1 Leslie Greengard,†,2 and Thomas Hagstrom‡,3 ∗National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80303,†Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012-1110, and ‡Department of Mathematics and Statistics, University of New Mexico, Albuqu...

Organ Transplant Recipients Diana F. Florescu, MD; Heather Chambers, APRN; Fang Qiu, PhD; Michael Morris, MD; David F. Mercer, MD; Marius C Florescu, MD; Infectious Diseases, University of Nebraska Medical Center, Omaha, NE; University of Nebraska Medical Center, Omaha, NE; Biostatistics Department, Nebraska Medical Center, Omaha, NE; Transplant Surgery Division, University of Nebraska Medical ...

BY MARSHA J. BERGER1, DONNA A. CALHOUN2, CHRISTIANE HELZEL3 AND RANDALL J. LEVEQUE4,* 1Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA 2Laboratoire d’Etudes des Transferts et de Méchanique des Fluides, DEN/DM2S/SFME/LTMF, Commissariat à l’Energie Atomique (CEA), Centre de Saclay, 91191 Gif-sur-Yvette Cedex, France 3Fakultät für Mathema...