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Accelerating Correctly Rounded Floating
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... (r0,r1) = Closest-Pair (Rx, Ry) δ = min ( d(q0,q1), d(r0,r1) ) S = points (x,y) in P s.t. |x – x*| < δ return Closest-in-box (S, (q0,q1), (r0,r1)) ...
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... 6.1 Point Estimation In this chapter we develop statistical inference (estimation and testing) based on likelihood methods. We show that these procedures are asymptotically optimal under certain conditions. Suppose that X1, …, Xn~ (iid) X, with pdf f (x; ), (or pmf p(x; )), . 6.1.1 The Maximum ...
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... Thus, for x < e~1/e , Eq„ (5) has no solution with $(x) > 0. At = 0, the derivative dfy^'/dty -> -° ° , since log c|> -»• -° ° . We also note from Figure 2 that for -l/e < 1, there are two values of (j) for a given value of Thus, we can divide the curve of Figure 2 into two branches, the one to ...
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Expectation–maximization algorithm



In statistics, an expectation–maximization (EM) algorithm is an iterative method for finding maximum likelihood or maximum a posteriori (MAP) estimates of parameters in statistical models, where the model depends on unobserved latent variables. The EM iteration alternates between performing an expectation (E) step, which creates a function for the expectation of the log-likelihood evaluated using the current estimate for the parameters, and a maximization (M) step, which computes parameters maximizing the expected log-likelihood found on the E step. These parameter-estimates are then used to determine the distribution of the latent variables in the next E step.
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