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This is a mostly self-contained research-oriented course designed for undergraduate students (but also extremely welcoming to graduate students) with an interest in doing research in theoretical aspects of algorithms that aim to extract information from data.
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English
English [CC]
FREE
- Learn basic syntax that can apply to any language.
- Learn what is a programming language and the basic concepts for beginners.
- Understand what is Javascript in it's truest form.
- Know the basic syntax of Javascript.
- Know some hidden quirks in Javascript.
Description
These often lie in overlaps of two or more of the following: Mathematics, Applied Mathematics, Computer Science, Electrical Engineering, Statistics, and / or Operations Research.
Course content
- Overview and Two Open Problems Unlimited
- Principal Component Analysis in High Dimensions and the Spike Model Unlimited
- Graphs, Diffusion Maps, and Semi-supervised Learning Unlimited
- Spectral Clustering and Cheeger’s Inequality Unlimited
- Concentration Inequalities, Scalar and Matrix Versions Unlimited
- Johnson-Lindenstrauss Lemma and Gordon’s Theorem Unlimited
- Local Convergence of Graphs and Enumeration of Spanning Trees Unlimited
- Compressed Sensing and Sparse Recovery Unlimited
- Group Testing and Error-Correcting Codes Unlimited
- Approximation Algorithms and Max-Cut Unlimited
- Community Detection and the Stochastic Block Model Unlimited
- Synchronization Problems and Alignment Unlimited
Instructor
Massachusetts Institute of Technology
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1916
1520
