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Gradient Descent Learns Linear Dynamical Systems

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Figure

Figure 1: An example of polynomialq that satisfies our assumption. Theunit circle is the collection of the in-puts of q and the other curve showsthe corresponding outputs (with thecorresponding colors.)We see theimage of the polynomial stays in thewedge which contains all the com-plex number z satisfying ℜ(q(z)) >|ℑ(q(z))|.

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