OptiDose: Computing the Individualized Optimal Drug Dosing Regimen Using Optimal Control [0.03%]
OptiDose：利用最优控制算法计算个体化的最优药物剂量方案
Freya Bachmann,Gilbert Koch,Marc Pfister et al.
Freya Bachmann et al.
Providing the optimal dosing strategy of a drug for an individual patient is an important task in pharmaceutical sciences and daily clinical application. We developed and validated an optimal dosing algorithm (OptiDose) that computes the op...
Anton Rodomanov,Yurii Nesterov
Anton Rodomanov
We present a new theoretical analysis of local superlinear convergence of classical quasi-Newton methods from the convex Broyden class. As a result, we obtain a significant improvement in the currently known estimates of the convergence rat...
Axel Böhm,Stephen J Wright
Axel Böhm
We study minimization of a structured objective function, being the sum of a smooth function and a composition of a weakly convex function with a linear operator. Applications include image reconstruction problems with regularizers that int...
Robust Necessary Optimality Conditions for Nondifferentiable Complex Fractional Programming with Uncertain Data [0.03%]
含不确定数据的复数分数规划的 robust 必要最优性条件
Jiawei Chen,Suliman Al-Homidan,Qamrul Hasan Ansari et al.
Jiawei Chen et al.
In this paper, we study robust necessary optimality conditions for a nondifferentiable complex fractional programming with uncertain data. A robust counterpart of uncertain complex fractional programming is introduced in the worst-case scen...
Optimal Immunity Control and Final Size Minimization by Social Distancing for the SIR Epidemic Model [0.03%]
SIR流行病模型下的最优免疫控制和最终规模最小化的社会疏离策略
Pierre-Alexandre Bliman,Michel Duprez,Yannick Privat et al.
Pierre-Alexandre Bliman et al.
The aim of this article is to understand how to apply partial or total containment to SIR epidemic model during a given finite time interval in order to minimize the epidemic final size, that is the cumulative number of cases infected durin...
On the Role of the Objective in the Optimization of Compartmental Models for Biomedical Therapies [0.03%]
在生物医学治疗的隔室模型优化中目标的作用分析
Urszula Ledzewicz,Heinz Schättler
Urszula Ledzewicz
We review and discuss results obtained through an application of tools of nonlinear optimal control to biomedical problems. We discuss various aspects of the modeling of the dynamics (such as growth and interaction terms), modeling of treat...
Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization [0.03%]
局部Lipschitz不等式约束多目标优化的二阶最优性条件
Elena Constantin
Elena Constantin
The main goal of this paper is to give some primal and dual Karush-Kuhn-Tucker second-order necessary conditions for the existence of a strict local Pareto minimum of order two for an inequality-constrained multiobjective optimization probl...
Anton Rodomanov,Yurii Nesterov
Anton Rodomanov
In this paper, we study derivatives of powers of Euclidean norm. We prove their Hölder continuity and establish explicit expressions for the corresponding constants. We show that these constants are optimal for odd derivatives and at most ...
Using Age Structure for a Multi-stage Optimal Control Model with Random Switching Time [0.03%]
基于随机切换时间的阶段结构最优控制模型及其应用研究
Stefan Wrzaczek,Michael Kuhn,Ivan Frankovic
Stefan Wrzaczek
The paper presents a transformation of a multi-stage optimal control model with random switching time to an age-structured optimal control model. Following the mathematical transformation, the advantages of the present approach, as compared...
On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities [0.03%]
关于求解伪单调变分不等式外梯度法的弱收敛性
Phan Tu Vuong
Phan Tu Vuong
In infinite-dimensional Hilbert spaces, we prove that the iterative sequence generated by the extragradient method for solving pseudo-monotone variational inequalities converges weakly to a solution. A class of pseudo-monotone variational i...