Constrained consensus-based optimization and numerical heuristics for the few particle regime [0.03%]
约束共识优化及少量粒子情况下的数值启发式方法
Jonas Beddrich,Enis Chenchene,Massimo Fornasier et al.
Jonas Beddrich et al.
Consensus-based optimization (CBO) is a versatile multi-particle optimization method for performing nonconvex and nonsmooth global optimizations in high dimensions. Proofs of global convergence in probability have been achieved for a broad ...
Minimum flow decomposition in graphs with cycles using integer linear programming [0.03%]
含环图中用整数线性规划求解流的最小分解问题
Fernando H C Dias,Lucia Williams,Brendan Mumey et al.
Fernando H C Dias et al.
Minimum flow decomposition (MFD) - the problem of finding a minimum set of weighted source-to-sink paths that perfectly decomposes a flow - is a classical problem in Computer Science, and variants of it are powerful models in a different fi...
Tropical gradient descent [0.03%]
热带梯度下降法
Roan Talbut,Anthea Monod
Roan Talbut
We propose a gradient descent method for solving optimization problems arising in settings of tropical geometry-a variant of algebraic geometry that has attracted growing interest in applications such as computational biology, economics, an...
A new mathematical approach for handling DVH criteria in IMRT planning [0.03%]
用于IMRT规划的DVH标准处理的新数学方法
Alexander Scherrer,Filka Yaneva,Tabea Grebe et al.
Alexander Scherrer et al.
The appropriate handling of planning criteria on the cumulative dose-volume histogram (DVH) is a highly problematic issue in intensity-modulated radiation therapy (IMRT) plan optimization. The nonconvexity of DVH criteria and globality of t...
Exchange rates and multicommodity international trade: insights from spatial price equilibrium modeling with policy instruments via variational inequalities [0.03%]
基于政策工具的变分不等式空间价格均衡模型对汇率和多商品国际贸易的启示
Anna Nagurney,Dana Hassani,Oleg Nivievskyi et al.
Anna Nagurney et al.
In this paper, we construct a multicommodity international trade spatial price equilibrium model of special relevance to agriculture in which exchange rates are included along with policy instruments in the form of tariffs, subsidies as wel...
A three-stage stochastic optimization model integrating 5G technology and UAVs for disaster management [0.03%]
一种集成5G技术与无人机的三阶段灾难管理优化模型
Gabriella Colajanni,Patrizia Daniele,Anna Nagurney et al.
Gabriella Colajanni et al.
In this paper, we develop a three-stage stochastic network-based optimization model for the provision of 5G services with Unmanned Aerial Vehicles (UAVs) in the disaster management phases of: preparedness, response and recover/reconstructio...
Distributionally robust mean-absolute deviation portfolio optimization using wasserstein metric [0.03%]
基于Wasserstein距离的分布鲁棒均方差组合投资选取模型
Dali Chen,Yuwei Wu,Jingquan Li et al.
Dali Chen et al.
Data uncertainty has a great impact on portfolio selection. Based on the popular mean-absolute deviation (MAD) model, we investigate how to make robust portfolio decisions. In this paper, a novel Wasserstein metric-based data-driven distrib...
José F S Bravo-Ferreira,David Cowburn,Yuehaw Khoo et al.
José F S Bravo-Ferreira et al.
Nuclear Magnetic Resonance (NMR) Spectroscopy is the second most used technique (after X-ray crystallography) for structural determination of proteins. A computational challenge in this technique involves solving a discrete optimization pro...
Sean Dewar,Derek Kitson,Anthony Nixon
Sean Dewar
We present three results which support the conjecture that a graph is minimally rigid in d-dimensional ℓ p -space, where p ∈ ( 1 , ∞ ) and p ≠ 2 , if and only if it is (d, d)-tight. Firstly, we introduce a graph b...
Sorin-Mihai Grad,Felipe Lara
Sorin-Mihai Grad
We introduce and investigate a new generalized convexity notion for functions called prox-convexity. The proximity operator of such a function is single-valued and firmly nonexpansive. We provide examples of (strongly) quasiconvex, weakly c...