Introduction to Advanced Algorithms Compsci 224 Lecture 15

Let's dive into the details surrounding Advanced Algorithms Compsci 224 Lecture 15. linear programming: standard form, vertices, bases, simplex.

Advanced Algorithms Compsci 224 Lecture 15 Comprehensive Overview

Logistics, course topics, word RAM, predecessor, van Emde Boas, y-fast tries. Please see Problem 1 of Assignment 1 at ... Hashing: load balancing, k-wise independence, chaining, linear probing. Symmetrization, hashing: linear probing (5-wise indep.), bloom filters, cuckoo hashing, bloomier filters.

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

Summary & Highlights for Advanced Algorithms Compsci 224 Lecture 15

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

That wraps up our extensive overview of Advanced Algorithms Compsci 224 Lecture 15.

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