1 code implementation • 4 Aug 2016 • Kevin L. Keys, Gary K. Chen, Kenneth Lange
This paper introduces the iterative hard thresholding (IHT) algorithm to the GWAS analysis of continuous traits.
1 code implementation • 19 Apr 2016 • Kevin L. Keys, Hua Zhou, Kenneth Lange
If $f(\boldsymbol{x})$ is the loss function, and $C$ is the constraint set in a constrained minimization problem, then the proximal distance principle mandates minimizing the penalized loss $f(\boldsymbol{x})+\frac{\rho}{2}\mathop{dist}(x, C)^2$ and following the solution $\boldsymbol{x}_{\rho}$ to its limit as $\rho$ tends to $\infty$.
Optimization and Control 90C59, 90C26, 65K05
1 code implementation • 27 Jul 2015 • Kenneth Lange, Kevin L. Keys
For convex programming subject to nonsmooth constraints, one can combine an exact penalty method with distance majorization to create versatile algorithms that are effective even in discrete optimization.
Optimization and Control Data Structures and Algorithms