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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       font style='font-size:12px;'> 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       font style='font-size:12px;'> 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...
投资者信息、市场势力与福利分析     投资者  市场势力  福利分析       font style='font-size:12px;'> 2023/12/13
We study the market for a risky asset in which traders are heterogeneous both in terms of their value for the asset and the information that they have about this value. Traders behave strategically an...
模逆隐藏数问题的求解及其应用     模逆  隐藏数问题  求解       font style='font-size:12px;'> 2023/12/13
The Modular Inversion Hidden Number Problem (MIHNP), which was proposed at Asiacrypt 2001 by Boneh, Halevi, and Howgrave-Graham, is summarized as follows: Assume that the $\delta $ most significant bi...
人口老龄化、均衡膳食与我国粮食需求     人口老龄化  均衡膳食  粮食需求       font style='font-size:12px;'> 2023/12/13
The need to make more accurate grain demand (GD) forecasting has become a major topic in the current international grain security discussion. Our research aims to improve short term GD prediction by e...
In this paper, we study the large-scale boundary regularity for the Stokes system in periodically oscillating John domains. Our main contribution is the construction of boundary layer correctors of ar...
By utilizing the so-called Doss–Sussman transformation, we link our stochastic 3D Burgers equation with linear multiplicative noise to a random 3D Burger equation. With the help of techniques from par...
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       font style='font-size:12px;'> 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...
For an r-graph F, the anti-Ramsey number ar(n,r,F) is the minimum number c of colors such that for any edge-coloring of the complete r-graph on n vertices with at least c colors, there is a copy of F ...
This paper studies the dual-role-facility location game with generalized service costs, in which every agent plays a dual role of facility and customer, and is associated with a facility opening cost ...
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       font style='font-size:12px;'> 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...
With the tool of semi-tensor product of matrices, an algorithm is proposed to verify whether a finite game is a weighted potential game (WPG) without pre-knowledge on its weights. Then the algorithm i...
With the tool of semi-tensor product of matrices, an algorithm is proposed to verify whether a finite game is a weighted potential game (WPG) without pre-knowledge on its weights. Then the algorithm i...
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...

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