Hashing and Hash Tables

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Introduction Hashing Techniques Applications
HASHING
Muhammad Adil Raja

Introduction Hashing Techniques Applications
OUTLINE
1 INTRODUCTION
2 HASHING TECHNIQUES
3 APPLICATIONS

Introduction Hashing Techniques Applications
OUTLINE
1 INTRODUCTION
2 HASHING TECHNIQUES
3 APPLICATIONS

Introduction Hashing Techniques Applications
OUTLINE
1 INTRODUCTION
2 HASHING TECHNIQUES
3 APPLICATIONS

Introduction Hashing Techniques Applications
HASHING
The idea of hashing is to distribute the entries of a dataset
across ...

Introduction Hashing Techniques Applications
WHAT IS HASHING
A Hash Table
A data structure to implement an associative arr...

Introduction Hashing Techniques Applications
HASHING TECHNIQUES
Separate Chaining.
Open Addressing.
Coalesced Hashing.
....

Introduction Hashing Techniques Applications
HASH FUNCTION
Crucial for good hash table performance.
Can be difﬁcult to ach...

Introduction Hashing Techniques Applications
COLLISION RESOLUTION
Practically unavoidable.
Birthday problem.

Introduction Hashing Techniques Applications
SEPARATE CHAINING
Every bucket is independent.
And maintains a list of entrie...

Introduction Hashing Techniques Applications
SEPARATE CHAINING
FIGURE: Pause

Introduction Hashing Techniques Applications
SEPARATE CHAINING WITH LINKED LISTS
Popular as they require basic data struct...

Introduction Hashing Techniques Applications
SEPARATE CHAINING WITH OTHER DATA STRUCTURES
AVL Trees.
BSTs.
Dynamic Arrays.

Introduction Hashing Techniques Applications
TIME COMPLEXITY MEASURES
TABLE: Time Complexity Measures
Guarantee Average Ca...

Introduction Hashing Techniques Applications
OPEN ADDRESSING (CLOSED HASHING)
All entry records are stored in the bucket a...

Introduction Hashing Techniques Applications
PROBE SEQUENCES
Linear Probing – A ﬁxed interval between probes (usually
1).
...

Introduction Hashing Techniques Applications
OPEN ADDRESSING

Introduction Hashing Techniques Applications
LOAD FACTOR – A KEY STATISTIC
Number of entries divided by the number of buck...

Introduction Hashing Techniques Applications
HOW DROPBOX KNOWS YOU ARE SHARING
COPYRIGHTED STUFF
Dropbox checks the hash o...

Introduction Hashing Techniques Applications
DROPBOX
FIGURE: Pause

Introduction Hashing Techniques Applications
DROPBOX
When you upload a ﬁle to Dropbox, two things happen to it:
a hash is ...

Introduction Hashing Techniques Applications
SUBTREE CACHING (IN SYMBOLIC REGRESSION)
log
log
tan z
+
y
x * (tan y + z ) l...

Introduction Hashing Techniques Applications
SUBTREE CACHING
Every subtree is evaluated and cached, along with its
evaluat...

Introduction Hashing Techniques Applications
THANKYOU

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