Events

Douglas Nychka, Department of Applied Mathematics and Statistics, Colorado School of Mines, will give a Lynch Lecture Series titled,"The Earth's Climate, a Computer Model, and a Data Scientist" at 4:15 PM in 105 Jordan Hall.

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Samantha Sherman
University of Notre Dame
 

3:30 PM
154 Hurley Hall

Tensor Decomposition and Data Analysis

After a brief intro to tensors and CP decompositions, I will talk about the problem of decomposing higher-order moment tensors, i.e., the sum of symmetric outerproducts of data vectors. Such a decomposition can be used to estimate the means in a Gaussian mixture model and for other applications in machine learning. The dth-order empirical moment tensor of a set of p observations of n variables is a symmetric d-way tensor. Our goal is to compute a low-rank tensor approximation. The challenge is that computing a low-rank approximation becomes prohibitively expensive quickly as the size of the problem grows because forming the initial moment tensor costs O(pn^d). Our contribution is avoiding formation of the moment tensor and computing the low-rank approximation implicitly. This reduces the number of operations and allows for efficient computation of higher-order moments. I will show examples using symmetric tensor decompositions to estimate symmetric tensor rank and recover means of Gaussian mixture models.…

William Layton, Department of Mathematics, University of Pittsburgh, will give a colloquium titled,"The Challenge of Accurate Prediction of Fluid Motion" at 4:15 PM in 127 Hayes - Healy Center.

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Full List of ACMS Colloquia…

Hongzhe Li, Department of Biostatistics and Statistics, University of Pennsylvania, will give a Lynch Lecture Series titled,"Interrogating the Gut Microbiome: Estimation of Growth Dynamics and Prediction of Biosynthetic Gene Clusters" at 4:15 PM in 105 Jordan Hall.…

Hongzhe Li, Department of Biostatistics and Statistics, University of Pennsylvania, will give a colloquium titled,"Hypothesis Testing for Phylogenetic Composition: A Minimum-cost Flow Perspective" at 4:15 PM in 127 Hayes - Healy Center.

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Doctoral candidate, Yinan Li, will defend his dissertation, Thursday, March 5, 2020, at 1:00 p.m. in the 101A Crowley Commons Room.
The beginning portion is open to the public.

Title: Noise Injection and Noise Augmentation for Large Model Regularization and Differential Privacy in Statistical Learning
Adviser: Fang Liu
…

Mikyoung Jun, Department of Statistics, Texas A & M University, will give a colloquium titled, "TBA " at 4:15 PM in 127 Hayes - Healy Center.

Full List of ACMS Colloquia…