This work presents the first projection-free algorithm to solve stochastic bi-level optimization problems, where objective function depends on solution of another problem. The proposed $\textbf{S}$tochastic $\textbf{Bi}$-level $\textbf{F}$rank-$\textbf{W}$olfe ($\textbf{SBFW}$) can be applied streaming settings and does not make use large batches or checkpoints. sample complexity SBFW is shown ...

Tracking specific events in a program’s execution, such as object allocation or lock acquisition, is at the heart of dynamic analysis. Despite apparent simplicity this task, quantifying these challenging due to presence compiler optimizations. Profiling perturbs optimizations that would normally do—a profiled program usually behaves differently than original one. In article, we propose novel te...

The high level optimizations are becoming more and more sophisticated, the importance of low level optimizations should not be underestimated. Due to the changes in the inner architecture of modern processors, some optimization techniques may become more or less effective. Existing techniques need, from time to time, to be reconsidered, and new techniques, targeting these modern architectures, ...

Due to the favorable performance of structural topology optimization to create a proper understanding in the early stages of design, this issue is taken into consideration from the standpoint of research or industrial application in recent decades. Over the last three decades, several methods have been proposed for topology optimization. One of the methods that has been effectively used in stru...

In this paper the piecewise level set method is combined with phase field method to solve the shape and topology optimization problem. First, the optimization problem is formed based on piecewise constant level set method then is updated using the energy term of phase field equations. The resulting diffusion equation which updates the level set function and optimization ...