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We establish a variant of Monge--Kantorovich duality for a constrained optimal transport problem with a continuum of agents, a finite set of alternatives, and general linear constraints. As an application, we revisit the large-market model…

理论经济学 · 经济学 2026-04-06 Koji Yokote

Given the dynamic nature of traffic, we investigate the variant of robust network design where we have to determine the capacity to reserve on each link so that each demand vector belonging to a polyhedral set can be routed. The objective…

计算复杂性 · 计算机科学 2021-01-29 Yacine Al-Najjar , Walid Ben-Ameur , Jeremie Leguay

We study the problem of designing mechanisms when agents' valuation functions are drawn from unknown and correlated prior distributions. In particular, we are given a prior distribution $\D$, and we are interested in designing a (truthful)…

计算机科学与博弈论 · 计算机科学 2023-10-13 Anuran Makur , Marios Mertzanidis , Alexandros Psomas , Athina Terzoglou

In a Shared Mobility on Demand Service (SMoDS), dynamic pricing plays an important role in the form of an incentive for the decision of the empowered passenger on the ride offer. Strategies for determining the dynamic tariff should be…

最优化与控制 · 数学 2020-07-06 Yue Guan , Anuradha M. Annaswamy , H. Eric Tseng

We consider a dynamic bi-objective vehicle routing problem, where a subset of customers ask for service over time. Therein, the distance traveled by a single vehicle and the number of unserved dynamic requests is minimized by a dynamic…

神经与进化计算 · 计算机科学 2020-05-29 Jakob Bossek , Christian Grimme , Günter Rudolph , Heike Trautmann

We continue our investigation of finite deformation linear viscoelastodynamics by focusing on constructing accurate and reliable numerical schemes. The concrete thermomechanical foundation developed in the previous study paves the way for…

数值分析 · 数学 2023-05-26 Ju Liu , Jiashen Guan

In recent years, deep learning-based approaches for visual-inertial odometry (VIO) have shown remarkable performance outperforming traditional geometric methods. Yet, all existing methods use both the visual and inertial measurements for…

计算机视觉与模式识别 · 计算机科学 2022-10-21 Mingyu Yang , Yu Chen , Hun-Seok Kim

The paper is devoted to the observability study of a dynamic system, which describes the vibrations of an elastic beam with an attached rigid body and distributed control actions. The mathematical model is derived using Hamilton's principle…

最优化与控制 · 数学 2022-08-19 Alexander Zuyev , Julia Kalosha

We propose a new financial model, the stochastic volatility model with sticky drawdown and drawup processes (SVSDU model), which enables us to capture the features of winning and losing streaks that are common across financial markets but…

数理金融 · 定量金融 2025-03-20 Yuhao Liu , Pingping Jiang , Gongqiu Zhang

This work studies the approximation of plane problems concerning transversely isotropic elasticity, using a low-order Virtual Element Method (VEM), with a focus on near-incompressibility and near-inextensibility. Additionally, both…

数值分析 · 数学 2019-03-06 D. van Huyssteen , B. D. Reddy

This paper focuses on the velocity planning and energy management problems for Connected and Automated Vehicles (CAVs) with hybrid electric powertrains. The eco-driving problem is formulated in the spatial domain as a nonlinear dynamic…

系统与控制 · 电气工程与系统科学 2020-10-09 Shreshta Rajakumar Deshpande , Daniel Jung , Marcello Canova

This paper introduces a deep learning method for solving an elliptic hemivariational inequality (HVI). In this method, an expectation minimization problem is first formulated based on the variational principle of underlying HVI, which is…

数值分析 · 数学 2021-04-13 Jianguo Huang , Chunmei Wang , Haoqin Wang

A fundamental challenge in robust visual-inertial odometry (VIO) is to dynamically assess the reliability of sensor measurements. This assessment is crucial for properly weighting the contribution of each measurement to the state estimate.…

机器人学 · 计算机科学 2025-10-03 Seungwon Choi , Donggyu Park , Seo-Yeon Hwang , Tae-Wan Kim

We present a finite element discretisation to model the interaction between a poroelastic structure and an elastic medium. The consolidation problem considers fully coupled deformations across an interface, ensuring continuity of…

数值分析 · 数学 2023-06-21 S. Badia , M. Hornkjøl , A. Khan , K. -A. Mardal , A. F. Martín , R. Ruiz-Baier

In this paper, we study a very general stochastic variational inequality(SVI) having jumps, random coefficients, delay, and path dependence, in infinite dimensions. Well-posedness in terms of the existence and uniqueness of a solution is…

概率论 · 数学 2024-08-16 Ning Ning , Jing Wu , Xiaoyan Xu

We describe a framework in which is possible to develop and implement algorithms for the approximation of invariant measures of dynamical systems with a given bound on the error of the approximation. Our approach is based on a general…

动力系统 · 数学 2017-10-05 Stefano Galatolo , Isaia Nisoli

Elasticity theory is an important component of continuum mechanics and has had widely spread applications in science and engineering. Material interfaces are ubiquity in nature and man-made devices, and often give rise to discontinuous…

数值分析 · 数学 2014-12-17 Bao Wang , Kelin Xia , Guo-Wei Wei

We consider the Dynamic Map Visitation Problem (DMVP), in which a team of agents must visit a collection of critical locations as quickly as possible, in an environment that may change rapidly and unpredictably during the agents'…

计算复杂性 · 计算机科学 2014-07-29 Eric Aaron , Danny Krizanc , Elliot Meyerson

In this work, the demand Adjustment Problem (DAP) associated to urban traffic planning is studied. The framework for the formulation of the DAP is mathematical programming with equilibrium constraints. In particular, if the optimization…

最优化与控制 · 数学 2018-07-04 Jorgelina Walpen , Elina M. Mancinelli , Pablo A. Lotito , Lisandro A. Parente

In this paper, we study proximal type dynamics in the context of noncooperative multi-agent network games. These dynamics arise in different applications, since they describe distributed decision making in multi-agent networks, e.g., in…

最优化与控制 · 数学 2019-09-26 Carlo Cenedese , Giuseppe Belgioioso , Yu Kawano , Sergio Grammatico , Ming Cao