Experimenting with Neural Nets Numbers marked with indicate material you need to write up.

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1 CSC 325 / PHI 394 Spring Homework Experimenting with Neural Nets Numbers marked with indicate material you need to write up. BEFORE YOU BEGIN Download the Java Neural Net Simulator (JavaNNS) from: For Windows, you download extract the contents of the JavsNNS-Win.zip file. To run the program, double click on the JavaNNS.jar file. Note: remember, in this program neurons are called units. Practice 1: Training a pre-built neural net to recognize Even/Odd patterns ( Parity )_ 1. Download the network (.net) and pattern (.pat) files for this assignment from the class website. 2. Double-click on JavaNNS.jar file to launch the neural network simulator. 3. Pull down the File menu, and select Open Click up and over to the folder NKU_examples Choose the file Network_4_12_1.net (from the course website). 4. A neural network should appear in a window. Resize the window to see all of it. 5. Pull down the View menu, and select Weights. 6. Pull down the View menu again, and select Error Graph. 7. Pull down the Tools menu, and select Control Panel. 8. Drag and resize these windows to make sure you can see them well. Resize the enclosing window if necessary. 9. Click on the bottom right [>] button on the error graph several times until the last number on the horizontal axis is 10,000. You might want to stretch the window out to make it wider. (See picture below.) Also, click on the second button in the lower left corner to turn on the grid. 10. Click on the [V] button on upper left of the error graph several times until the last number on the vertical axis is 5. (See picture below.) 1

2 11. Pull down the File menu, and select Open Choose the file Parity4.pat (which you downloaded from the course website). 12. On the Control Panel, choose the Initializing tab, and click the Init button. This will set the weights to their initial values. By default, the weights will be random, between -1 and +1. You can see them displayed, color code, in the Linkweights window. (The square in column 3 row 15 is indicates the weight from neuron 3 to neuron 15, for example.) 13. See how the neural network classifies patterns before it has learned anything. Go to the Updating tab of the Control Panel. Click through the 16 input patterns, and see how the neural network responds. Note that the output neuron will never produce a 0 or a 1 as an output. Why? Let s say that if the neuron produces an output > 0.9 when it should say 1, and < 0.1 when it shoul;d say 0, that is good enough. If the neural net understood even vs. odd, the following should happen: When the number of green inputs is even, the output neuron should be blue. When the number of green inputs is odd, the output neuron should be green. But it doesn t understand this yet! Its brain has just random connections. So we must train it! 2

3 14. Go to the Learning tab. Set Cycles to (this is the number of passes through the training set to use). Then click Learn All. Watch the error curve go down (we hope!!) If it the learning curve doesn t go down to (almost) zero, try it again: Hit Init to reset all the synaptic weights to random values. Hit Learn All and watch the learning curve. Hopefully it goes down! (You can hit the clear button in lower left corner of the Error graph window to erase older graphs.) Do this ten times. Record approximately how many passes ( cycles ) it took before it learned, in a table like this example: Pass Number of cycles (write >10K if it did not get near 0 before reaching 10,00 0 cycles) >10K etc. Just do this visually by watching the error graph curves. There is no point in having precise numbers. Why is there such a range of different learning times? 15. After doing a run where the net successfully learned, walk through the training set (as in step 13) and confirm that it is now getting the answers right. Watch the hidden layers. For how many of the 16 input patterns are the hidden neurons exclusively high or low (>0.9 or <0.1)? Can you make other observations about how input patterns are represented in the hidden layer? 16. Time for brain damage! Making sure you have a network that has learned parity, go to the network widow and right-click on the first (top) hidden neuron, and select delete. Now walk through the training set again. How many of the 16 patterns does it correctly classify now? When it has an answer wrong, is it slightly wrong (for example, saying 0.8 when it should be >0.9) or totally misclassified? Now delete another hidden neuron, and answer the same question. Now delete a third hidden neuron, and answer the same question. 17. At this point, our little brain has suffered a massive stroke: it has lost 3 of its 12 hidden neurons. Can it recover from this trauma with a little therapy? Let s see if it can learn the problem with its smaller brain. Retrain it: Hit Learn All, and watch the learning curve. Does it learn? 18. Free experimentation: What s the smallest brain that can learn this even/odd problem? Write up your findings carefully and clearly. Notice you will need to do many experiments, as there is a lot of random variation here. 3

4 Practice 2: Building your own network Now you will build your own network to solve the (harder) 5-parity problem. 1. From the File menu pull down New. You do not need to save anything. 2. Pull down the Tools menu, and select Create > Layers. 3. Build the input layer, as follows, selecting a height of 5 neurons of type Input. Then hit Create. 4. Build a hidden layer, as follows, selecting a height of 12 neurons of type Hidden, with top left position 4. Then hit Create. 5. Build another hidden layer of 12 hidden neurons, as you did above, with top left position Finally, build the output layer, selecting a height of 1 neuron of type Output, with top left position 10. 4

5 7. Those are the neurons, now we need to build the connections. In the Tools menu, pull down Create Connection. In the box that pops up select Connect feed-forward, then hit the Connect button. Your network should look like the one on the right below: 8. Save this to a file. A good name for it would be Network_5_12_12_1.net 9. Now you can train this network on the 5-parity problem (opening parity5.pat) as you did in the first exercise. This is a harder problem, so give it 100,000 cycles to learn it. Also, change the horizontal scale on the Error graph to 0 100,000 and the vertical scale to 0 10, so you can see the learning curves clearly. Replicate the table you did for #14 in Practice 1. After experimenting with Backpropagation (on the Learning tab), try out Backprop-momentum, experimenting with parameters to try and get it to learn. Congratulations, you are doing neural smithing! Write up your experimental results and any conclusions you have reached. 5