Let us examine the behavior of the variance update in Equation (15.20). a. Plot the value of

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Let us examine the behavior of the variance update in Equation (15.20).

a. Plot the value of σ2t as a function of t, given various values for σ2x and σ2z.

b. Show that the update has a fixed point σ2 such that σ2t †’ σ2 as t†’ˆž, and calculate the value of σ2.

c. Give a qualitative explanation for what happens as σ2x †’ 0 and as σ2z †’ 0.


Equation (15.20)

(0? + o)o? Oi+1 (o? + o)24+1 + oži of + o?+o? and Ht+1 o? + o?+ o?

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Artificial Intelligence A Modern Approach

ISBN: 978-0136042594

3rd edition

Authors: Stuart Russell, Peter Norvig

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