Consider a 2D lattice consisting of 10x10 neuronas that is trained with an input consisting of 4 Gaussian clouds, C1, C2, C3 and C4, in an 8-dimensional input space. The centers are located at the points (0,0,0,...,0), (4,0,0,...,0), (4,4,0,...,0) and (0,4,0,...,0). Compute the map produced by the SOM algorithm, with each neuron in the map being labeled with the particular class most represented by the input points around it (Haykin, 1999).
Dear erick u prefer the SOM toolbox and check the coding of SOM algorithm for networks design...feed input and output information in som.m natlab file to create ur networks design...
if any problem then contact me. i have worked on SOM and CPNN Neural networks for face recognition system design.
Hi Mahendra,
First of all, thank you very much for all your support.
I recently implemented a matlab code that computes the 2D map with an input consisting on a random points uniformly distribuited inside a triangle (please, see the attachment). I tried to adapt this code to the problem I mentioned to you, but I did not suceed. Let me tell you the way I see how to solve that problem, and then, you can tell me if my approach is right or wrong.
First: I need to construct a 8x100 matrix (random values) which represents the 100 neurons in the 8-dimensional space. I think this is the input, am I right?
Second. I need to construct a 2x100 matrix which the 2D coordinates of the 100 points on the 10x10 lattice (done!)
Third: I need to assign each 8-dimensional input to each 2D coordinates, by finding the minimum distance between an 8-dimensional neuron and a 2D pair of the lattice. I think that is the SOM does... but how? I tried before and Matlab said that "dimensions must agree!" This is the part that I find more difficult.
Fourth: Once solved part 3, I need to create four 8-dimensional Gaussian clouds which the centers specified by the problem I gave you.
Fifth: I need to compare each element of the clouds to each element of the train 2D lattice, and then, label each one with the corresponding class on the lattice (please see the second attachment)
In agreement with the literature, the figure is called "semantic/contextual map". Please, I really need to implement the Matlab code to solve this problem! If you can help me with this, i will appreciate it! Maybe you could adapt my code...
Best regards
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