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During the past two decades, multi-agent optimization problems have drawn increased attention from the research community. When multiple objective functions are present among agents, many works optimize the sum of these objective functions.…

多智能体系统 · 计算机科学 2020-10-13 M. J. Blondin , M. T. Hale

We consider the resource allocation problem and its numerical solution. The following constructions are demonstrated: 1) Walrasian price-adjustment mechanism for determining the equilibrium; 2) Decentralized role of the prices; 3) Slater's…

最优化与控制 · 数学 2020-03-27 Anastasiya Ivanova , Alexander Gasnikov , Evgeni Nurminski , Evgeniya Vorontsova

We present the first nontrivial approximation algorithm for the bottleneck asymmetric traveling salesman problem. Given an asymmetric metric cost between n vertices, the problem is to find a Hamiltonian cycle that minimizes its bottleneck…

数据结构与算法 · 计算机科学 2020-12-29 Hyung-Chan An , Robert Kleinberg , David B. Shmoys

We present an extensive analysis of the key problem of learning optimal reserve prices for generalized second price auctions. We describe two algorithms for this task: one based on density estimation, and a novel algorithm benefiting from…

机器学习 · 计算机科学 2015-06-10 Mehryar Mohri , Andres Munoz Medina

We study the design of Bayesian incentive compatible mechanisms in single parameter domains, for the objective of optimizing social efficiency as measured by social cost. In the problems we consider, a group of participants compete to…

计算机科学与博弈论 · 计算机科学 2013-05-06 Hu Fu , Brendan Lucier , Balasubramanian Sivan , Vasilis Syrgkanis

Previous works suggested the use of Branch and Bound techniques for finding the optimal allocation in (multi-unit) combinatorial auctions. They remarked that Linear Programming could provide a good upper-bound to the optimal allocation, but…

计算机科学与博弈论 · 计算机科学 2007-05-23 Rica Gonen , Daniel Lehmann

In this paper, we provide two new stable online algorithms for the problem of prediction in reinforcement learning, \emph{i.e.}, estimating the value function of a model-free Markov reward process using the linear function approximation…

机器学习 · 计算机科学 2018-06-19 Ajin George Joseph , Shalabh Bhatnagar

We consider the problem of finding \textit{semi-matching} in bipartite graphs which is also extensively studied under various names in the scheduling literature. We give faster algorithms for both weighted and unweighted case. For the…

数据结构与算法 · 计算机科学 2012-06-15 Jittat Fakcharoenphol , Bundit Laekhanukit , Danupon Nanongkai

We propose a novel surrogate-assisted Evolutionary Algorithm for solving expensive combinatorial optimization problems. We integrate a surrogate model, which is used for fitness value estimation, into a state-of-the-art P3-like variant of…

神经与进化计算 · 计算机科学 2021-04-19 Arkadiy Dushatskiy , Tanja Alderliesten , Peter A. N. Bosman

Under the assumption of no-arbitrage, the pricing of American and Bermudan options can be casted into optimal stopping problems. We propose a new adaptive simulation based algorithm for the numerical solution of optimal stopping problems in…

概率论 · 数学 2009-09-29 Daniel Egloff , Michael Kohler , Nebojsa Todorovic

In the paper an efficient semi-analytical approach based on the method of steps and differential transformation is proposed for numerical approximation of solutions of retarded logistic models of delayed and neutral type, including models…

数值分析 · 数学 2019-01-14 Josef Rebenda , Zdeněk Šmarda

The quality of the invariant mass reconstruction of the di-{\tau} system is crucial for searches and analyses of di-{\tau} resonances. Due to the presence of neutrinos in the final state, the {\tau} {\tau} invariant mass cannot be…

高能物理 - 唯象学 · 物理学 2026-02-03 Artur Kalinowski , Wiktor Matyszkiewicz

Many real-world problems can be reduced to combinatorial optimization on a graph, where the subset or ordering of vertices that maximize some objective function must be found. With such tasks often NP-hard and analytically intractable,…

机器学习 · 计算机科学 2021-03-22 Thomas D. Barrett , William R. Clements , Jakob N. Foerster , A. I. Lvovsky

We consider a stochastic lost-sales inventory control system with a lead time $L$ over a planning horizon $T$. Supply is uncertain, and is a function of the order quantity (due to random yield/capacity, etc). We aim to minimize the…

最优化与控制 · 数学 2023-11-01 Boxiao Chen , Jiashuo Jiang , Jiawei Zhang , Zhengyuan Zhou

We present new algorithms to detect and correct errors in the lower-upper factorization of a matrix, or the triangular linear system solution, over an arbitrary field. Our main algorithms do not require any additional information or…

符号计算 · 计算机科学 2019-01-31 Jean-Guillaume Dumas , Joris Van Der Hoeven , Clément Pernet , Daniel Roche

We study the optimal mechanism design problem faced by a market intermediary who makes revenue by connecting buyers and sellers. We first show that the optimal intermediation protocol has substantial structure: it is the solution to an…

计算机科学与博弈论 · 计算机科学 2012-10-12 Kamal Jain , Christopher A. Wilkens

This paper introduces an innovative approach based on policy iteration (PI), a reinforcement learning (RL) algorithm, to obtain an optimal observer with a quadratic cost function. This observer is designed for systems with a given…

系统与控制 · 电气工程与系统科学 2023-11-29 Soroush Asri , Luis Rodrigues

Many applications, including rank aggregation and crowd-labeling, can be modeled in terms of a bivariate isotonic matrix with unknown permutations acting on its rows and columns. We consider the problem of estimating such a matrix based on…

机器学习 · 统计学 2018-06-06 Cheng Mao , Ashwin Pananjady , Martin J. Wainwright

Estimation of actual errors from the residue in iterative solutions is necessary for efficient solution of large problems when their condition number is much larger than one. Such estimators for conjugate gradient algorithms used to solve…

数值分析 · 数学 2014-06-27 Aashish Vishwakarma , Murugesan Venkatapathi

Scheduling on dataflow graphs (also known as computation graphs) is an NP-hard problem. The traditional exact methods are limited by runtime complexity, while reinforcement learning (RL) and heuristic-based approaches struggle with…

机器学习 · 计算机科学 2023-08-24 Jiaqi Yin , Cunxi Yu
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