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Lecture 11-cs648-2013 Randomized Algorithms
1.
Randomized Algorithms CS648 Lecture 11 Hashing
- I 1
2.
Problem Definition
3.
Solutions
4.
Hashing
5.
Collision
6.
Collision
7.
Hashing
8.
WHY DOES HASHING
WORK SO WELL IN PRACTICE ?
9.
Why does hashing
work so well in Practice ?
10.
Why does hashing
work so well in Practice ? 1 2 m
11.
Why does hashing
work so well in Practice ? 1 2 m
12.
Why does hashing
work so well in Practice ?
13.
HOW TO ACHIEVE
WORST CASE O(1) SEARCH TIME
14.
Key idea to
achieve worst case O(1) search time The notion of goodness is captured formally by Universal hash family in the following slide.
15.
UNIVERSAL HASH FAMILY
16.
Universal Hash Family
17.
Universal Hash Family This
looks complicated. In the next class we shall show that it is very natural and intuitive. For today’s lecture, you don’t need it
18.
STATIC HASHING WORST CASE
O(1) SEARCH TIME
19.
The Journey
20.
21.
22.
Use Markov’s Inequality
to bound it.
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