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1
OVERVIEW
2
ODECO DECOMPOSITION
3
GENERAL STRATEGY
4
COMPUTATIONAL LIMITS
5
WHY IS IT DIFFICULT?
6
SPECTRAL INITIALIZATION
7
SNR FOR ODECO
8
SPATIO-TEMPORAL TRANSCRIPTOME OF THE BRAIN
9
SUMMARY
10
TENSOR REGRESSION
11
TUCKER RANK
12
CONVEX REGULARIZATION
13
EXAMPLES SPARSITY
14
Low RANK MATRIX ESTIMATION
15
DECOMPOSABILITY
Description:
Delve into the second part of a comprehensive lecture on low rank tensor methods in high-dimensional data analysis. Explore advanced concepts such as ODECO decomposition, computational limits, spectral initialization, and tensor regression. Gain insights into the challenges and recent progress in analyzing multidimensional data from diverse fields like chemometrics, genomics, physics, and signal processing. Learn about novel statistical methods, efficient computational algorithms, and fundamental mathematical theory for extracting useful information from large-scale tensor data. Discover applications in spatio-temporal transcriptome analysis of the brain and low rank matrix estimation. Suitable for researchers and practitioners working with high-dimensional data and tensor methods.

Low Rank Tensor Methods in High Dimensional Data Analysis

Institute for Pure & Applied Mathematics (IPAM)
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