{"id":3,"date":"2015-08-20T15:22:27","date_gmt":"2015-08-20T15:22:27","guid":{"rendered":"https:\/\/my.vanderbilt.edu\/keatonhamm\/homepage\/"},"modified":"2018-04-17T17:05:17","modified_gmt":"2018-04-17T22:05:17","slug":"homepage","status":"publish","type":"page","link":"https:\/\/my.vanderbilt.edu\/keatonhamm\/","title":{"rendered":"Main"},"content":{"rendered":"<p class=\"subheader\">Assistant Professor of Mathematics (Non Tenure-Track)<\/p>\n<div class=\"contact\">\n<p><span>Office:<\/span> SC 1511<\/p>\n<p><span>Email: <\/span>keaton.hamm@vanderbilt.edu<\/p>\n<\/div>\n<div class=\"LeftColContent\">\n<div class=\"contentBlock\">\n<h1>Research Interests<\/h1>\n<p>My current research is devoted to theoretical foundations in Data Clustering, including some matrix factorization methods which solve the Subspace Clustering problem.  Related to this, I have worked on the CUR Decomposition for matrices, which is a low-rank matrix approximation method.  I have also worked extensively on the interaction between high-dimensional Sampling Theory and Radial Basis Function approximation schemes.\n<\/p><\/div>\n<div class=\"contentBlock\">\n<h1>Publications<\/h1>\n<h2>Journal Articles and Preprints<\/h2>\n<ul id=\"publications\">\n<li>[9] K. Hamm and J. Ledford, <a href=\"https:\/\/arxiv.org\/pdf\/1703.01533.pdf\">On the Structure and Interpolation Properties of Quasi Shift-Invariant Spaces<\/a>, <i>Journal of Functional Analysis<\/i>, Vol. 274, Issue 7 (2018), 1959-1992 .<\/li>\n<li>[8]  A. Aldroubi, K. Hamm, A. B. Koku, and A. Sekmen, <a href=\"https:\/\/cdn.vanderbilt.edu\/t2-my\/my-prd\/wp-content\/uploads\/sites\/1840\/2017\/11\/CUR_Similarity3.pdf\">CUR Decompositions, Similarity Matrices, and Subspace Clustering<\/a>, (Approximately 23 pages, Submitted).<\/li>\n<li>[7] K. Hamm and J. Ledford, <a href=\"https:\/\/arxiv.org\/pdf\/1606.06676.pdf\">Regular Families of Kernels for Nonlinear Approximation<\/a>, (Approximately 21 pages, Submitted).<\/li>\n<li>[6] K. Hamm, On the Gibbs&#8211;Wilbraham Phenomenon for Sampling and Interpolatory Series, (Approximately 8 pages, Submitted).<\/li>\n<li>[5] K. Hamm and J. Ledford,\u00a0<a href=\"http:\/\/arxiv.org\/pdf\/1506.07387.pdf\">Cardinal Interpolation With General Multiquadrics: Convergence Rates<\/a>, <i>Advances in Computational Mathematics<\/i>, Approximately 26 pages, To Appear).<\/li>\n<li>[4] J.-L. Bouchot and K. Hamm, <a href=\"https:\/\/arxiv.org\/pdf\/1603.05168.pdf\">Stability and Robustness of RBF Interpolation<\/a>, <i>Sampling Theory in Signal and Image Processing<\/i>, Vol. 16 (2017), 37-53.<\/li>\n<li>[3] K. Hamm, <a href=\"http:\/\/arxiv.org\/pdf\/1411.5610.pdf\">Nonuniform Sampling and Recovery of Bandlimited Functions in Higher Dimensions<\/a>, <i>Journal of Mathematical Analysis and Applications<\/i>, Vol. 450, Issue 2 (2017), 1459-1478.<\/li>\n<li>[2] K. Hamm and J. Ledford, <a href=\"http:\/\/arxiv.org\/pdf\/1501.01899v1.pdf\">Cardinal Interpolation With General Multiquadrics<\/a>, <i>Advances in Computational Mathematics<\/i>, Vol. 42, Issue 5 (2016), 1149-1186.<\/li>\n<li>[1] K. Hamm, <a href=\"http:\/\/arxiv.org\/pdf\/1310.2892.pdf\">Approximation Rates for Interpolation of Sobolev Functions via Gaussians and Allied Functions<\/a>, <i>Journal of Approximation Theory<\/i>, 189 (2015), 101-122.<\/li>\n<\/ul>\n<h2>Refereed Conference Proceedings<\/h2>\n<ul id=\"publications\">\n<li>[13] A. Sekmen, A. Aldroubi, A. B. Koku, and K. Hamm, <a href=\"https:\/\/cdn.vanderbilt.edu\/t2-my\/my-prd\/wp-content\/uploads\/sites\/1840\/2017\/10\/Sekmen_Big_Data_2017.pdf\">Principal Coordinate Clustering<\/a>, 3rd Special Session on Intelligent Data Mining, <i>2017 IEEE International Conference on Big Data<\/i>, Boston, MA, 2095-2102.<\/li>\n<li>[12] A. Sekmen, A. Aldroubi, K. Hamm, and A. B. Koku, <a href=\"https:\/\/cdn.vanderbilt.edu\/t2-my\/my-prd\/wp-content\/uploads\/sites\/1840\/2017\/06\/PID4847441.pdf\">Matrix Reconstruction: Skeleton Decomposition versus Singular Value Decomposition<\/a>, <i>Proceedings of the 2017 International Symposium on Performance Evaluation of Computer and Telecommunication Systems (SPECTS)<\/i>, Seattle, Washington.<\/li>\n<li>[11] K. Hamm and J. Ledford, <a href=\"https:\/\/cdn.vanderbilt.edu\/t2-my\/my-prd\/wp-content\/uploads\/sites\/1840\/2017\/06\/Hamm_Ledford_Sampta17.pdf\">On Bases of Cardinal Functions and Their Role in Approximate Sampling Methods<\/a>, <i>Proceedings of the 12th International Conference on Sampling Theory and Applications (SampTA 2017)<\/i>, Tallin, Estonia.<\/li>\n<li>[10] K. Hamm, <a href=\"http:\/\/w.american.edu\/cas\/sampta\/papers\/a30-hamm.pdf\">Sampling and Recovery Using Multiquadrics<\/a>, <i>Proceedings of the 11th International Conference on Sampling Theory and Applications (SampTA 2015)<\/i>, Washington D.C.<\/li>\n<\/ul>\n<h2>In Preparation<\/h2>\n<ul id=\"preparations\">\n<li> An Operator Theoretic Approach to the Convergence of Rearranged Fourier Series (with B. Hayes and A. Petrosyan, forthcoming)<\/li>\n<\/ul>\n<\/div>\n<div class=\"contentBlock\">\n<h1>Education<\/h1>\n<ul>\n<li>Ph.D., Mathematics, Texas A&amp;M University, 2015<\/li>\n<li>B.S., Mathematics (Honors), Texas A&amp;M University, 2010<\/li>\n<li>B.S., Chemical Engineering, Texas A&amp;M University, 2010<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"SidePanel\">\n<div class=\"contentBlock\">\n<h1>Teaching<\/h1>\n<ul>\n<li><span>Introduction to Numerical Mathematics<\/span> MWF 11:10am &#8211; 12:00pm<\/li>\n<li><span>Office Hours<\/span> TR 10:45-12:15<\/li>\n<li><b>Students:<\/b> For detailed class information, see <a href=\"https:\/\/www.vanderbilt.edu\/\/brightspace\/\">Brightspace<\/a><\/li>\n<\/ul>\n<\/div>\n<div class=\"contentBlock\">\n<h1>Resources<\/h1>\n<ul>\n<li><a href=\"https:\/\/my.vanderbilt.edu\/keatonhamm\/2015\/08\/NonlinearApprox.m\">NonlinearApprox.m<\/a> &#8212; Matlab function file from paper &#8220;Regular Families of Kernels for Nonlinear Approximation with J. Ledford<\/li>\n<\/ul>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Assistant Professor of Mathematics (Non Tenure-Track) Office: SC 1511 Email: keaton.hamm@vanderbilt.edu Research Interests My current research is devoted to theoretical foundations in Data Clustering, including some matrix factorization methods which solve the Subspace Clustering problem. Related to this, I have worked on the CUR Decomposition for matrices, which is a low-rank matrix approximation method. I&#8230;<\/p>\n","protected":false},"author":4284,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"tags":[],"class_list":["post-3","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/my.vanderbilt.edu\/keatonhamm\/wp-json\/wp\/v2\/pages\/3","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/my.vanderbilt.edu\/keatonhamm\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/my.vanderbilt.edu\/keatonhamm\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/keatonhamm\/wp-json\/wp\/v2\/users\/4284"}],"replies":[{"embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/keatonhamm\/wp-json\/wp\/v2\/comments?post=3"}],"version-history":[{"count":84,"href":"https:\/\/my.vanderbilt.edu\/keatonhamm\/wp-json\/wp\/v2\/pages\/3\/revisions"}],"predecessor-version":[{"id":176,"href":"https:\/\/my.vanderbilt.edu\/keatonhamm\/wp-json\/wp\/v2\/pages\/3\/revisions\/176"}],"wp:attachment":[{"href":"https:\/\/my.vanderbilt.edu\/keatonhamm\/wp-json\/wp\/v2\/media?parent=3"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/keatonhamm\/wp-json\/wp\/v2\/tags?post=3"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}