Exploring Advanced Algorithms Compsci 224 Lecture 3

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  • Power of random signs: ℓ2 norm estimation, subspace embeddings (regression), Johnson-Lindenstrauss, deterministic point ...
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  • second order methods (Newton's method), path-following interior point wrap-up.
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  • Online primal/dual: e/(e-1) ski rental, set cover; approximation

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Hashing: load balancing, k-wise independence, chaining, linear probing. Symmetrization, hashing: linear probing (5-wise indep.), bloom filters, cuckoo hashing, bloomier filters. Fusion trees, word-level parallelism, most significant set bit in constant time. Logistics, course topics, word RAM, predecessor, van Emde Boas, y-fast tries. Please see Problem 1 of Assignment 1 at ...

Path-following interior point, first order methods (gradient descent).

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