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aborted. This marked the corresponding cell as being on the boundary of the accessible<br />

phase space and prevented further attempts to generate conformers in it.<br />

Exploration of angular orientation space<br />

Exhaustive exploration<br />

The exhaustive search is one available method for exploration of phase space. We begin<br />

the search by putting the starting structure in standard orientation. We subdivide the<br />

accessible pitch-yaw-roll space into a rectangular array of contiguous cubes15° wide in<br />

each of the three angular directions. A given cube is taken to be sampled if it contains at<br />

least one generated conformer.<br />

If we have a fitness function, though, we can minimize on it as we describe below, rather<br />

than exploring exhaustively.<br />

Line search minimization<br />

For the holo structure prediction application, we chose to minimize the fitness function<br />

using the line search algorithm, which successively varies each of the parameters (pitch,<br />

yaw, roll) over its full range. After each parameter is varied, the conformer that<br />

minimized the scoring function over that parameter is used as a starting point for the next<br />

minimization. This is illustrated in figure 5.3. The line search minimization can be<br />

considered converged when no pitch,yaw, or roll rotation from the lowest-scoring<br />

conformer can further reduce the value of the fitness function.<br />

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