Calendar of Events
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Analysis Seminar – Ryan Berndt, Otterbein University
Analysis Seminar – Ryan Berndt, Otterbein University
Title: Two-weight problem for the Fourier transform. Abstract: We examine the problem of the Fourier transform mapping one weighted Lebesgue space into another, by studying necessary conditions and sufficient conditions which expose an underlying geometry. In the necessary conditions, this geometry is connected to an old result of Mahler concerning the the measure of a
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Colloquium – Mark Behrens, University of Notre Dame
Colloquium – Mark Behrens, University of Notre Dame
Title: "Current themes in the study of the homotopy groups of spheres" Abstract: I will summarize the current state of affairs of the study of the stable homotopy groups of spheres, and will describe some connections to algebraic and differential geometry.
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Applied Math Seminar – Rongjie Lai, Rensselaer Polytechnic Institute
Applied Math Seminar – Rongjie Lai, Rensselaer Polytechnic Institute
Title: Understanding Manifold-structured Data via Geometric Modeling and Learning Abstract: Analyzing and inferring the underlying global intrinsic structures of data from its local information are critical in many fields. In practice, coherent structures of data allow us to model data as low dimensional manifolds, represented as point clouds, in a possible high dimensional space. Different
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Applied Math Seminar – Trang Dinh, University of Alabama
Applied Math Seminar – Trang Dinh, University of Alabama
Title: Understanding Tensor and Tensor Decompositions Abstract: Tensors are multidimensional arrays that can play a key role in the representation of big data. Decompositions of higher-order tensors have applications in biochemistry, signal processing, data mining, neuroscience, and elsewhere. The talk will present commonly used tensor operations and different types of tensor decomposition. Specifically, it will
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Colloquium – Xiaofan Li, Illinois Institute of Technology
Colloquium – Xiaofan Li, Illinois Institute of Technology
Title: Numerical simulations of macroscopic quantities for stochastic differential equations with alpha-stable processes Abstract: The mean first exit time, escape probability and transitional probability density are utilized to quantify dynamical behaviors of stochastic differential equations with non-Gaussian, $\alpha$-stable type L\'evy motions. Taking advantage of the Toeplitz matrix structure of the time-space discretization, a fast and
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Applied Math Seminar – Dengfeng Sun, Purdue University
Applied Math Seminar – Dengfeng Sun, Purdue University
Title: Improving the Convergence Rate of the Distributed Gradient Descent Method Abstract: This talk presents our recent work on the accelerated Distributed Gradient Descent (DGD) method for distributed optimization problems. We observed that the inexact convergence of the DGD algorithm can be caused by the inaccuracy in the consensus procedure in a distributed optimization setting.
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Analysis Seminar – Khalid Said, University of Alabama
Analysis Seminar – Khalid Said, University of Alabama
Abstract In this presentation we examine some useful properties of the numerical range. We explore two dierent positions , generic and generalized generic positions. We show that two pairs of subspaces (M,N) and (M?;N?) are unitarily equivalent if M and N are subspaces of Cn in generic position by constructing a unitary operator. We establish
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