【视频教程】 Introduction to Algorithms (2015)


MP4 | AVC 1005kbps | English | 852x480 | 29.97fps | 6 hours | AAC stereo 96kbps | 3.28 GB
Genre: Video Training

Ever played the Kevin Bacon game? This class will show you how it works by giving you an introduction to the design and analysis of algorithms, enabling you to discover how individuals are connected. Why Take This Course? By the end of this class you will understand key concepts needed to devise new algorithms for graphs and other important data structures and to evaluate the efficiency of these algorithms. This class assumes an understanding of programming at the level of CS101, including the ability to read and write short programs in Python; it also assumes a comfort level with mathematical notation at the level of high school Algebra II or the SATs.

See the Technology Requirements for using Udacity.

What Will I Learn?

Syllabus:

Lesson 1: A Social Network Magic Trick

Objective: Become familiar with Algorithm Analysis.

Eulerian Path
Correctness of Naïve
Russian Peasants Algorithm
Measuring Time
Steps for Naive, Steps for Russian
Divide and Conquer

Lesson 2: Growth Rates in Social Networks

Objective: Use mathematical tools to analyze how things are connected.

Chain, Ring and Grid Networks
Big Theta
Planar Graphs
Nodes, Edges, Regions
Growth Rate of Edges in Planar Graph
Hypercube
Randomly Generated Graphs
N Squared
Tangled Hypercube

Lesson 3: Basic Graph Algorithms

Objective: Find the quickest route to Kevin Bacon.

Properties of Social Networks
Clustering Coefficient
Connected Components
Running Time of Connected Components
Checking Pairwise Connectivity
Pairwise Shortest Path
Depth vs. Breadth First Search
Recursion Replacement
Marvel “Social” Network
Finding Bridge Edges

Lesson 4: It’s Who You Know

Objective: Learn to keep track of your Best Friends using heaps.

Degree Centrality
Top K Via Partitioning
Three Partitioning Cases
Properties of a Heap
Patch Up a Heap
Down Heapify
Heap Sort

Lesson 5: Strong and Weak Bonds

Objective: Work with Social Networks that have edge weights.

Make a Tree
Strength of Connections
Weighted Social Networks
How to Find the Shortest Path
Dijkstra’s Shortest Path Algorithm
Floyd-Warshall Intro
Randomizing Clustering Coefficient
Bounds on the Estimate

Lesson 6: Hardness of Network Problems

Objective: Explore what it means for a Social Network problem to be "harder" than other.

Tetristan
Exponential Running Time
Degrees of Hardness
Reduction: Long and Simple Path
Polynomial Time Decidable Problems
Non-deterministic Polynomial Time Decidable Problem
Clique Problem in NP
Find the Strangers
Graph Coloring is NP-Complete

Lesson 7: Review and Application

Interview with Peter Winker (Professor, Dartmouth College) on Names and Boxes Problem && Puzzles and Algorithms

Interview with Tina Eliassi-Rad (Professor, Rutgers University) on Statistical Measures in Network && Social Networks in Security and Protests

Interview with Andrew Goldberg (Principal Researcher, Microsoft Research) on Practical Algorithms

Interview with Vukosi Marivate (Graduate Student, Rutgers University) on Social Algorithms

Interview with Duncan Watts (Principal Researcher, Microsoft) on Pathway That Can Use Two Nodes

Intro to Graph Search Animation

Instructors & Partners