DC programmingNonsmooth optimizationVariational analysisOptimization methods for difference-of-convex programs iteratively solve convex subproblems to define iterates. Although convex, depending on the problem's structure, these subproblems are very often challenging and require specialized solvers. This work ...
This paper investigates the relation between sequential convex programming (SCP) as, e.g., defined in [24] and DC (difference of two convex functions) programming. We first present an SCP algorithm for solving nonlinear optimization problems with DC constraints and prove its convergence. Then we...
Third, the marginal likelihood maximization problem is a difference of convex programming problem. It is thus possible to find a locally optimal solution efficiently by using a majorization minimization algorithm and an interior point method where the cost of a single interior-point iteration grows ...
3_ Programming 1_ Python Basics About Python is a high-level programming langage. I can be used in a wide range of works. Commonly used in data-science, Python has a huge set of libraries, helpful to quickly do something. Most of informatics systems already support Python, without installi...
The optimal stopping rules for these problems may, in principle, be numerically calculated by dynamic programming (see, e.g., Chow et al., 1964; Gilbert & Mosteller, 1966). As Simon (1990) has noted, optimal strategies provide important insights into the nature of the decision-making ...
3_ Programming 1_ Python Basics About Python is a high-level programming langage. I can be used in a wide range of works. Commonly used in data-science, Python has a huge set of libraries, helpful to quickly do something. Most of informatics systems already support Python, without installi...
Moreover, de novo creation of advanced machine learning models often requires a computational background, programming expertise, and a thorough knowledge of model structures. In contrast to those deep-learning approaches, Cellpose utilizes a pretrained model, which has been trained on an extensive ...
The mathematical description of the optimal control problem is shown in Problem 1. Problem 1: Cost function: minimize𝑡f,𝒖(𝑡)minimizetf,u(t) (5) Subject to: (1)~(4) 3. HNSCP Algorithm Traditional sequential convex programming (TSCP) is widely used in [13,14,15]. Unfortunately,...
First, we present a general approach based on online convex optimization (OCO) for constructing the estimator for the one-sided sequential hypothesis test and the sequential change-point detection, in the non-anticipative approach of [8] if the MLE cannot be computed in a convenient recursive ...
fuel injection- mechanical system to inject atomized fuel directly into the cylinders of an internal-combustion engine; avoids the need for a carburetor fuel injection system mechanical system- a system of elements that interact on mechanical principles ...