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Exercise 16: Implementation of a Backpropagation Network

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Exercise 16: Implementation of a Backpropagation Network

Summer Term 2019

It is now time to program your own backpropagation network. The goal is to have a running program with which you can do further exercises. In order to ease this task quite a bit and in order to focus on the algorithmic issues rather than on tedious implementation details we have again prepared a framework for you. Since this exercise still requires some time, you are expected to do this programming as ahomeworkand bring the result to the next class!

Review: Please, review the followingquestions:

1. What is the definition of one backpropagation step?

2. What are the main steps and loops in order to do one single backpropagation cycle?

3. What is the definition of the momentum termα?

To Do: Implement a backpropagation network.

Tasks: Happy programming!

1. Download the prepared material from

http://www.imd.e-technik.uni-rostock.de/ma/rs/lv/hosc/nn.zip 2. Read the API documentation.You are strongly advised to do so!

3. Implement the main functions in the filebp.cof a simple backpropagation network.

Please note that the given code material does not provide any backpropagation func- tionality but demonstrates how to use the network functions. You might want to start with a simple 1-1-1 network that should be realizing an inverter. How many training patterns do you need? This unit is to make sure that your backpropagation code is working well, and theprt-functions are mainly for debugging purposes^. Save..

this program version for later usage.

4. Add the momentum termαto your program. The required data structures are already included in the programming environment. Withα= 0, your program should exhibit exactly the same behavior as before. For test purposes, use a small learning rate, e.g.,η = 0.1, and gradually increase the momentum, e.g., fromα = 0, α = 0.1, to α= 0.2. You should be observing an accelerated learning process.

Question:What is the maximal reasonable value forα?

Have fun, Theo and Ralf.

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