搜索结果: 1-15 共查到“知识库 数学 优化”相关记录223条 . 查询时间(2.769 秒)
库仑费用多边际最优输运问题的全局优化算法
库仑费用 多边际 最优输运 全局优化算法
2023/12/13
In this work, we construct a novel numerical method for solving the multimarginal optimal transport problems with Coulomb cost. This type of optimal transport problem arises in quantum physics and pla...
电商平台中融合广告拍卖的机制优化
电商平台 融合广告拍卖 机制优化
2023/12/13
Advertising becomes one of the most popular ways of monetizing an online transaction platform. Usually, sponsored advertisements are posted on the most attractive positions to enhance the number of cl...
餐前胰岛素剂量精准决策是改善糖尿病患者血糖管理的关键.临床治疗中胰岛素剂量调整一般在较短时间内完成,具有典型的小样本特征;数据驱动建模在该情形下无法准确学习患者餐后血糖代谢规律,难以确保胰岛素剂量的安全和有效决策.针对这一问题,设计一种临床经验辅助的餐前胰岛素剂量自适应优化决策框架,构建高斯过程血糖预测模型和模型有效性在线评估机制,提出基于历史剂量和临床经验决策约束的贝叶斯优化方法,实现小样本下餐...
对运行设备安装双贮备设备是实现系统高可靠性的有效方法.在双贮备系统冷/温/热三种贮备模型中,选择哪种贮备模型对系统性能指标和经济指标均有重要影响,因此对如何选择双贮备系统的贮备模型从而使系统性能最优或经济效益最大的问题进行研究具有现实意义。
青藏地区快速的经济发展使得进入高原的群体数量日益增加,随之而来的高原健康问题也愈发突出.间歇性低氧训练(Intermittent hypoxic training,IHT)是急进高原前常使用的预习服方法,一般针对不同个体均设置固定的开环策略,存在方案制定无标准、系统化的理论指导缺乏、效果不明显等问题.针对以上情况,设计了一种小样本数据驱动的IHT策略贝叶斯闭环学习优化框架,建立自回归结构的高斯过程...
黎曼优化问题的约束消解方法
黎曼优化 约束消解 约束优化
2023/6/13
In this paper, we consider optimization problems over closed embedded submanifolds of \mathbb{R}^n, which are defined by the constraints c(x)=0. We propose a class of constraint dissolving approaches ...
We introduce a twice differentiable augmented Lagrangian for nonlinear optimization with general inequality constraints and show that a strict local minimizer of the original problem is an approximate...
形状优化在计算科学与工程领域具有重要的应用，如何设计满足给定目标及物理约束的区域最优形状是一个具有百年研究历史的重要课题。形状导数是构造形状优化算法的关键所在，其不仅刻画了目标泛函关于区域的扰动变化率，还为形状梯度下降算法提供下降方向，其精度严重影响形状优化算法的收敛性。本人与合作者最近在形状优化问题的离散形状导数方面取得了重要进展。形状优化问题的形状导数具有两种表示方式，一类基于区域积分，另一类...
基于二阶锥规划的SONC优化和非负性证明（王杰）
二阶锥规划 SONC优化 非负性证明
2023/2/22
The second-order cone (SOC) is a class of simple convex cones and optimizing over them can be done more efficiently than with semidefinite programming. It is interesting both in theory and in practice...
偏微分方程约束形状优化问题的改进的边界型离散形状梯度（龚伟）
偏微分方程 约束形状优化 边界型 离散形状梯度
2023/2/22
We propose in this paper two kinds of continuity preserving discrete shape gradients of boundary type for PDE-constrained shape optimizations. First, a modified boundary shape gradient formula for sha...
A line search penalty-free sequential quadratic programming method is proposed for nonlinear equality-constrained optimization. Generally, feasible directions are used to minimize the measurement of t...
一类求解非光滑矩阵流形优化的基于增广拉格朗日的半光滑牛顿法
非光滑矩阵 流形优化 增广拉格朗日 半光滑牛顿法
2023/1/5
This paper is devoted to studying an augmented Lagrangian method for solving a class of manifold optimization problems, which have nonsmooth objective functions and nonlinear constraints. Under the co...
无穷集上多项式优化的齐次化方法
无穷集 多项式优化 齐次化方法
2023/1/5
This paper considers polynomial optimization with unbounded sets. We give a homogenization formulation and propose a hierarchy of Moment-SOS relaxations to solve it. Under the assumptions that the fea...
A line search penalty-free sequential quadratic programming method is proposed for nonlinear equality-constrained optimization. Generally, feasible directions are used to minimize the measurement of t...