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Neural Networks - Algorithms, Applications,and ... - Csbdu.in

Neural Networks - Algorithms, Applications,and ... - Csbdu.in

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108 BackpropagationFigure 3.7This BPN will do four-to-one data compression.the <strong>in</strong>put to the network <strong>and</strong> the target output. Us<strong>in</strong>g the backpropagationprocess, the network will develop the <strong>in</strong>ternal weight cod<strong>in</strong>g so that the imageis compressed <strong>in</strong>to one-quarter of its orig<strong>in</strong>al size at the outputs of thehidden units. If we then read out the values produced by the hidden-layerunits <strong>in</strong> our network <strong>and</strong> transmit those values to our receiv<strong>in</strong>g station, wecan reconstruct the orig<strong>in</strong>al image by propagat<strong>in</strong>g the compressed image tothe output units <strong>in</strong> an identical network. Such a system is depicted <strong>in</strong> Figure3.8.Network Siz<strong>in</strong>g. There are two problems rema<strong>in</strong><strong>in</strong>g to be solved for this application:the first is the network-siz<strong>in</strong>g problem, <strong>and</strong> the second is the generationof the sample data sets needed to tra<strong>in</strong> the network. We will address thenetwork-siz<strong>in</strong>g aspect first.It is unrealistic to expect to create a network that will conta<strong>in</strong> an <strong>in</strong>putunit for every pixel <strong>in</strong> a s<strong>in</strong>gle video image. Even if we restricted ourselves tothe relatively low resolution of the 525-l<strong>in</strong>e scan rate specified by the NationalTelevision St<strong>and</strong>ard Code (NTSC) for commercial television, our network wouldhave to have 336,000 <strong>in</strong>put units (525 l<strong>in</strong>es x 640 pixels). Moreover, the entirenetwork would conta<strong>in</strong> roughly 750,000 process<strong>in</strong>g units (336000 + 336000/4 +336000) <strong>and</strong> 50 billion connections. As we have mentioned <strong>in</strong> earlier chapters,simulat<strong>in</strong>g a network conta<strong>in</strong><strong>in</strong>g a large number of units <strong>and</strong> a vast number

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