Sampling from high dimensional distributions and volume approximation of convex bodies are fundamental operations that appear in optimization, finance, engineering, artificial intelligence machine learning. In this paper we present volesti, an R package provides efficient, scalable algorithms for estimation, uniform Gaussian sampling polytopes. volesti scales to hundreds dimensions, handles eff...

Though the convex optimization has been widely used in power systems, it still cannot guarantee to yield a tight (accurate) solution some problems. To mitigate this issue, paper proposes an ensemble learning based approximation for alternating current (AC) flow equations that differs from existing relaxations. The proposed approach is on three-phase quadratic rectangular coordinates. develop da...