Jan 13 2021

Statistics and Data Science Seminar: Statistical Learning for High-dimensional Tensor Data, by Anru Zhang

January 13, 2021

4:00 PM - 4:50 PM




Chicago, IL

Anru Zhang (University of Wisconsin-Madison): Statistical Learning for High-dimensional Tensor Data

The analysis of tensor data has become an active research topic in this area of big data. Datasets in the form of tensors, or high-order matrices, arise from a wide range of applications, such as financial econometrics, genomics, and material science. In addition, tensor methods provide unique perspectives and solutions to many high-dimensional problems, such as topic modeling and high-order interaction pursuit, where the observations are not necessarily tensors. High-dimensional tensor problems generally possess distinct characteristics that pose unprecedented challenges to the data science community. There is a clear need to develop new methods, efficient algorithms, and fundamental theory to analyze the high-dimensional tensor data.

In this talk, we discuss some recent advances in high-dimensional tensor data analysis through the consideration of several fundamental and interrelated problems, including tensor SVD and tensor regression. We illustrate how we develop new statistically optimal methods and computationally efficient algorithms that exploit useful information from high-dimensional tensor data based on the modern theories of computation, high-dimensional statistics, and non-convex optimization. Through tensor SVD, we are able to achieve good performance in the denoising of 4D scanning transmission electron microscopy images. Using tensor regression, we are able to use MRI images for the prediction of attention-deficit/hyperactivity disorder.

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Yichao Wu

Date posted

Jan 19, 2021

Date updated

Jan 19, 2021


Anru Zhang | (University of Wisconsin-Madison)