EBK DATA STRUCTURES AND ALGORITHMS IN C
4th Edition
ISBN: 9781285415017
Author: DROZDEK
Publisher: YUZU
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Chapter 4, Problem 10E
Program Plan Intro
Path from Exit to Mouse in Maze:
Backtracking:
- Back tracking is a form of recursion.
- It is possible to backtrack if traversal reaches a node which has no other way from that to find solution.
- It can used to solve problems like eight queens puzzle and maze problem.
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Use a computer programming language of your choice to implement the dynamic programming that allows the change of edge weights and compute the shortest path from 1 to 14, and also shows the shortest route. For example, what is the shortest path and its route from node 1 to node 14 if the distance from node 4 to node 7 is 9?
The language for coding must be in python
Neural Network Units
Implement a single sigmoid neural network unit with weights of [-1.2, -1.1, 3.3, -2.1]
Calculate the outputs for two training examples:Example 1: [0.9, 10.0, 3.1, 1]Example 2: [0.9, 2.1, 3.7, 1]
Note that you don't have to explicitly include a threshold or bias since the examples include a last element of 1 which means that the last weight effectively operates as a threshold.
Assuming that a sigmoid unit response >0.5 denotes a positive class and <0.5 is negative class, is example 1 positive or negative? is example 2 positive or negative?
Create a single ReLU unit and provide the outputs for those examples.
Calculate the derivative of the sigmoid with respect to net input for both examples
Calculate the derivative of the ReLU with respect to net input for both examples
Write a python program based on the discussion we had on the last day of class, to train a network with two hidden layers each with 5 neurons. Finish the gradient computation we did in class, and implement a steepest decent search for a network which minimizes the cost function. Once you believe that your network is trained, compute the value of n(1, 1) and see what you get. Bonus: If you easily get this to work, then try to generalize to K neurons in each of the two hidden layers. Does the training work better with more neurons?
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EBK DATA STRUCTURES AND ALGORITHMS IN C
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