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

Online second order methods (Newton's method), path-following interior point wrap-up. Learning from experts, multiplicative weights.

Preferred path decomposition, link-cut trees.

Summary & Highlights for Advanced Algorithms Compsci 224 Lecture 15

  • Scaling for max flow, blocking flow.
  • Simplex wrap-up, strong duality, complementary slackness, ellipsoid, intro to interior point.
  • Symmetrization, hashing: linear probing (5-wise indep.), bloom filters, cuckoo hashing, bloomier filters.
  • Path-following interior point, first order methods (gradient descent).
  • Online primal/dual: e/(e-1) ski rental, set cover; approximation

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

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