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In classical inverse linear optimization, one assumes a given solution is a candidate to be optimal. Real data is imperfect and noisy, so there is no guarantee this assumption is satisfied. Inspired by regression, this paper presents a…

最优化与控制 · 数学 2017-06-23 Timothy C. Y. Chan , Taewoo Lee , Daria Terekhov

Mobile cloud computing enables the offloading of computationally heavy applications, such as for gaming, object recognition or video processing, from mobile users (MUs) to cloudlet or cloud servers, which are connected to wireless access…

网络与互联网体系结构 · 计算机科学 2017-02-07 Ali Al-Shuwaili , Osvaldo Simeone , Alireza Bagheri , Gesualdo Scutari

We study the convex hull of the graph of a quadratic function $f(\mathbf{x})=\sum_{ij\in E}x_ix_j$, where the sum is over the edge set of a graph $G$ with vertex set $\{1,\dots,n\}$. Using an approach proposed by Gupte et al. (Discrete…

最优化与控制 · 数学 2020-07-14 Mitchell Harris , Thomas Kalinowski

Rising electricity demand and the growing integration of renewables are intensifying congestion in transmission grids. Grid topology optimization through busbar splitting (BuS) and optimal transmission switching can alleviate grid…

系统与控制 · 电气工程与系统科学 2026-03-17 Giacomo Bastianel , Dirk Van Hertem , Hakan Ergun , Line Roald

Necessary and sufficient conditions for the square-integrability of recently proposed unbiased estimators are established. A geometric characterization of a distribution that optimizes the performance of these estimators is given. An…

统计理论 · 数学 2019-09-09 Nabil Kahale

In this paper, we propose a new Fully Composite Formulation of convex optimization problems. It includes, as a particular case, the problems with functional constraints, max-type minimization problems, and problems of Composite…

最优化与控制 · 数学 2021-03-24 Nikita Doikov , Yurii Nesterov

We investigate expected utility maximization problems from the terminal liquidation value in continuous time in markets with transaction costs and one fixed consistent price system, where a non-concave utility function is defined on the…

最优化与控制 · 数学 2024-09-10 Lingqi Gu , Yiqing Lin

Matching and pricing are two critical levers in two-sided marketplaces to connect demand and supply. The platform can produce more efficient matching and pricing decisions by batching the demand requests. We initiate the study of the…

数据结构与算法 · 计算机科学 2022-10-24 Yiding Feng , Rad Niazadeh , Amin Saberi

We propose a model of incentives for data pricing in large mobile networks, in which an operator wishes to balance the number of connections (active users) of different classes of users in the different cells and at different time instants,…

最优化与控制 · 数学 2019-01-09 Marianne Akian , Mustapha Bouhtou , Jean Bernard Eytard , Stéphane Gaubert

Explicit robust hedging strategies for convex or concave payoffs under a continuous semimartingale model with uncertainty and small transaction costs are constructed. In an asymptotic sense, the upper and lower bounds of the cumulative…

证券定价 · 定量金融 2012-01-13 Masaaki Fukasawa

We consider the problem of online min-cost perfect matching with concave delays. We begin with the single location variant. Specifically, requests arrive in an online fashion at a single location. The algorithm must then choose between…

数据结构与算法 · 计算机科学 2020-11-05 Yossi Azar , Runtian Ren , Danny Vainstein

Over the past few years, ride-sharing has emerged as an effective way to relieve traffic congestion. A key problem for these platforms is to come up with a revenue-optimal (or GMV-optimal) pricing scheme and an induced vehicle dispatching…

系统与控制 · 计算机科学 2018-03-02 Mengjing Chen , Weiran Shen , Pingzhong Tang , Song Zuo

Flexible transmission line impedances on one hand are a promising control resource for facilitating grid flexibility, but on the other hand add much complexity to the concerned optimization problems. This paper develops a convexification…

最优化与控制 · 数学 2022-04-12 Yue Song , David J. Hill , Tao Liu , Tianlun Chen

We study distributionally robust Expected Shortfall when the distribution of the underlying is perturbed by a size quantified with optimal transport distance based on the quadratic cost function. In the dual version of the robust…

概率论 · 数学 2026-03-17 Gusti van Zyl

Inverse Optimal Control (IOC) aims to infer the underlying cost functional of an agent from observations of its expert behavior. This paper focuses on the IOC problem within the continuous-time linear quadratic regulator framework,…

最优化与控制 · 数学 2025-07-29 Meiling Yu , Lechen Feng , Lei Jiang , Yuan-Hua Ni

The classical problem of optimal transportation can be formulated as a linear optimization problem on a convex domain: among all joint measures with fixed marginals find the optimal one, where optimality is measured against a cost function.…

最优化与控制 · 数学 2012-11-29 Jonathan Korman , Robert J. McCann

This paper presents a convex programming approach to the optimization of a multistage launch vehicle ascent trajectory, from the liftoff to the payload injection into the target orbit, taking into account multiple nonconvex constraints,…

最优化与控制 · 数学 2020-09-01 Boris Benedikter , Alessandro Zavoli , Guido Colasurdo , Simone Pizzurro , Enrico Cavallini

This paper addresses the challenging issue of symmetry in mixed-integer convex optimization problems, which frequently arise in real-world applications such as the unit commitment problem. Although variable aggregation techniques have been…

最优化与控制 · 数学 2026-02-05 Junhao Wu , Shaoze Li , Cheng Lu , Zhibin Deng , Shu-Cherng Fang

We propose a new method for finding statistical arbitrages that can contain more assets than just the traditional pair. We formulate the problem as seeking a portfolio with the highest volatility, subject to its price remaining in a band…

计量经济学 · 经济学 2024-02-14 Kasper Johansson , Thomas Schmelzer , Stephen Boyd

We study robust versions of pricing problems where customers choose products according to a generalized extreme value (GEV) choice model, and the choice parameters are not known exactly but lie in an uncertainty set. We show that, when the…

最优化与控制 · 数学 2021-10-19 Tien Mai , Patrick Jaillet