Question: Perform a simple computational experiment using the system. You only need to do one of the below. By now, you should know how to reasonably

Perform a simple computational experiment using  the system. You only need to do one of the below. By now, you should know how to reasonably select your parameters, e.g., the dimensionality of your system, the number of samples you have run  to make your case (neither of these numbers should be small). So we will not specify numbers in the following. Please note however that you will earn only partial credits if your numbers are too small.
(a) Destroy parts of the matrix at random (by setting random indexes to zero) and see how it distorts the output, that is, do a  numerical ablation experiment. One of the virtues of matrix models is generally felt to be their resistance to noise and damage. Although this statement is often made, it is seldom actually demonstrated. Convince yourself that this biologically important property is true. You can use the cosine between pre- and post-ablated outputs as a measure of damage. There are other measures, but this is a reasonable one and it is easy to compute.
Question: Would you expect the response of the system to damage to depend on the representation of data in the network? If so, why? Can you give reasons?

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Performing a numerical ablation experiment can be a valuable way to assess the robustness of a system such as a neural network to noise or damage In this case well consider a neural network as the sys... View full answer

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