| Week | Topics | Study Materials | Materials |
| 1 |
Introduction to numerical linear algebra, optimization problems, linear least squares problems
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| 2 |
Tikhonov regularization and ridge regression, Lasso equations with pivoted QR decomposition
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| 3 |
Fast solutions of large linear systems
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| 4 |
PCA, matrix factorization
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| 5 |
Basic Krylov subspaces
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| 6 |
Randomized numerical linear algebra
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| 7 |
Eigenvector computation, foundations of PageRank and RWR algorithms
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| 8 |
Fundamentals of network analysis, generation of random graphs
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| 9 |
Unsupervised graph learning, clustering and community detection
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| 10 |
Both supervised and unsupervised learning
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| 11 |
Learning node representations as vectors
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| 12 |
Pattern discovery in graphs, triadic closures, simplex structures, etc.
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| 13 |
Recommender systems
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| 14 |
Final exam and project presentations
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