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Once the photos are uploaded to the server, the program spits back an initial approximation of the model showing the positions that the photos were taken from.
First, we choose an initial approximation x0 ∈ X.
As an initial approximation, we choose and consider the linear problem (3.12).
Let us begin with an initial approximation where and are constants to be determined.
In each of these methods, an initial approximation f0 is sought, which satisfies the boundary conditions.
p is an embedding parameter, u 0 is an initial approximation of (1), which satisfies the boundary conditions.
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The approach proposed here seeks to find an optimal initial approximation f0 that would lead to faster convergence of the method to the true solution.
According to[32], using Newton's method, the computational complexity of calculating a root of a function a(x) with c-digit precision, provided that a good initial approximation is known, is O((logc)F(c) where F(c) is the cost of calculating a(x)/a ′ (x) with c-digit precision.
In fact, if we start with a zero initial approximation for the solution, the package produces an accurate approximate solution of the problem.
Starting from a rough initial approximation, the operators are iteratively selected within a stochastic framework guided by an energy functional measuring the quality of the approximation.
This is advantageous over other iterative techniques, where convergence is largely tied to a good initial approximation of the solution.
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CEO of Professional Science Editing for Scientists @ prosciediting.com