This latter involves minimizing the sum of squared differences between the fitted line and the data points in the -direction.
In this case, the problem involves minimizing for each degree n and order m chi^{2}={sumlimits_{i=1}^{K}}_{i}omegaleft(_{i}{g_{n}^{m}}-widetilde{{g_{n}^{m}}}right)^{2}.
This optimization technique usually involves minimizing the objective function that describes the mismatch between the available field historic data and reservoir simulator response.
Determining the lowest free energy structure involves minimizing the free energy function, which is given by (4) This model considers Van der Waals interactions using a standard 12-6 Lennard–Jones potential energy function (term and ) and rotational torsions of the phi- and psi-angles of each amino acid (term ), as in Havranek et al. (2004).
As the calculation of censored quantile regressions involves minimizing a nonconvex and nondifferentiable function, global optimization techniques can be the only breakthroughs.
"Private equity fund managers have a responsibility to their investors to maximize their investors' returns, and part of that responsibility involves minimizing taxes," said David S. Miller, a tax partner at Cadwalader, Wickersham & Taft.
Trajectory generation for robotic vehicles tries to provide real time computing of a collision free path from one point to another, which usually involves minimizing a performance measure, to accomplish a desired task.
Training a machine learning model today involves minimizing a loss function on datasets that are often gigantic, and so almost all practically relevant training algorithms operate in an online manner by reading in small chunks of the data at a time and making updates to the model on-the-fly.
To demonstrate the practicality of the proposed method, analytical solution is derived on a particular reinsurance model that involves minimizing Conditional Value at Risk (a special case of distortion function) and with the reinsurance premium being determined by the inverse-S shaped distortion principle.
Route optimization involves minimizing the packet transmission delay between the sender and the receiver.
Then, the second optimization involves minimizing J relating to μ k i, with r n k i being fixed.
