numerical-linear-algebra-README-md-at-master-fas #

Course Logistics](https://nbviewer.jupyter.org/github/fastai/numerical-linear-algebra/blob/master/nbs/0.%20Course%20Logistics.ipynb) (Video 1)

• My background
• Teaching Approach
• Importance of Technical Writing
• List of Excellent Technical Blogs
• Linear Algebra Review Resources

[1. #

• Matrix and Tensor Products
• Matrix Decompositions
• Accuracy
• Memory use
• Speed
• Parallelization & Vectorization

[2. #

• Topic Frequency-Inverse Document Frequency (TF-IDF)
• Singular Value Decomposition (SVD)
• Non-negative Matrix Factorization (NMF)
• Stochastic Gradient Descent (SGD)
• Intro to PyTorch
• Truncated SVD

[3. #

• Load and View Video Data
• SVD
• Principal Component Analysis (PCA)
• L1 Norm Induces Sparsity
• Robust PCA
• LU factorization
• Stability of LU
• LU factorization with Pivoting
• History of Gaussian Elimination
• Block Matrix Multiplication

[4. #

Predicting Health Outcomes with Linear Regressions](http://nbviewer.jupyter.org/github/fastai/numerical-linear-algebra/blob/master/nbs/5.%20Health%20Outcomes%20with%20Linear%20Regression.ipynb) (Video 8)

• Linear regression in sklearn
• Polynomial Features
• Speeding up with Numba
• Regularization and Noise

[6. #

• Naive solution
• Normal equations and Cholesky factorization
• QR factorization
• SVD
• Timing Comparison
• Conditioning & Stability
• Full vs Reduced Factorizations
• Matrix Inversion is Unstable

[7. #

• SVD
• DBpedia Dataset
• Power Method
• QR Algorithm
• Two-phase approach to finding eigenvalues
• Arnoldi Iteration

[8. #