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Tensor Decomposition - A Mathematical Tool for Data Analysis
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- 1 Intro
- 2 Tensor Decomposition: A Mathematical Tool for Data Analysis
- 3 Tensors Vector Outer Products
- 4 Matrix Decomposition: Detecting Low-Rank Structure
- 5 CP Tensor Factorization (3-way): Detecting low-rank 3-way structure
- 6 CP first invented in 1927
- 7 New Devices Enable Measuring Multiple Neurons Simultaneously
- 8 Neuron Data
- 9 Fitting CP: Alternating Least Squares
- 10 Solving the Least Squares Problem
- 11 Randomizing the Convergence Check
- 12 Application to Hazardous Gas Dataset
- 13 Factors from Gas Dataset
- 14 Rayleigh CP with Linear Link
- 15 Generalized CP
- 16 Mouse Data using Rayleigh (Nonnes)
- 17 Gas Data Using Rayleigh
- 18 Binary Chat Data using Boolean CP
- 19 CP Tensor Decomposition & Data Analysis