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We study prediction and estimation problems using empirical risk minimization, relative to a general convex loss function. We obtain sharp error rates even when concentration is false or is very restricted, for example, in heavy-tailed…

机器学习 · 统计学 2014-10-14 Shahar Mendelson

This paper deals with an optimization problem over a network of agents, where the cost function is the sum of the individual objectives of the agents and the constraint set is the intersection of local constraints. Most existing methods…

最优化与控制 · 数学 2018-06-20 Van Sy Mai , Eyad H. Abed

This paper seeks to solve the long-term transmission expansion planning problem more effectively by reducing the solution search space and the computational effort. The proposed methodology finds and adds cutting planes based on structural…

最优化与控制 · 数学 2019-10-07 J. Kyle Skolfield , Laura M. Escobar , Adolfo R. Escobedo

This letter proposes a general dynamic formulation of slack bus. With this aim, the angle constraint imposed by the slack bus is redefined as a set of differential equations and an energy source. The existence and role of the transient…

系统与控制 · 电气工程与系统科学 2024-08-06 Federico Milano

This paper considers the linear inverse problem where we wish to estimate a structured signal $x$ from its corrupted observations. When the problem is ill-posed, it is natural to make use of a convex function $f(\cdot)$ that exploits the…

信息论 · 计算机科学 2013-12-06 Samet Oymak , Christos Thrampoulidis , Babak Hassibi

Throughput is a main performance objective in communication networks. This paper considers a fundamental maximum throughput routing problem -- the all-or-nothing multicommodity flow (ANF) problem -- in arbitrary directed graphs and in the…

数据结构与算法 · 计算机科学 2022-07-27 Anya Chaturvedi , Chandra Chekuri , Mengxue Liu , Andréa W. Richa , Mattias Rost , Stefan Schmid , Jamison Weber

We analyze pricing mechanisms in electricity markets with AC power flow equations that define a nonconvex feasible set for the economic dispatch problem. Specifically, we consider two possible pricing schemes. The first among these prices…

系统与控制 · 电气工程与系统科学 2021-10-04 Mariola Ndrio , Anna Winnicki , Subhonmesh Bose

In this paper, the power flow solution of the two bus network is used to analytically characterise maximum power transfer limits of distribution networks, when subject to both thermal and voltage constraints. Traditional analytic methods…

最优化与控制 · 数学 2017-10-24 Matthew Deakin , Thomas Morstyn , Dimitra Apostolopoulou , Malcolm McCulloch

Securely and efficiently procuring energy balancing services in distribution networks remains challenging, especially within a privacy-preserving environment. This paper proposes a network-constrained demand response game, i.e., a…

系统与控制 · 电气工程与系统科学 2024-08-14 Xiupeng Chen , Koorosh Shomalzadeh , Jacquelien M. A. Scherpen , Nima Monshizadeh

In this paper, we develop a distributionally robust chance-constrained formulation of the Optimal Power Flow problem (OPF) whereby the system operator can leverage contextual information. For this purpose, we exploit an ambiguity set based…

最优化与控制 · 数学 2022-10-05 Adrián Esteban-Pérez , Juan M. Morales

We establish weak limits for the empirical entropy regularized optimal transport cost, the expectation of the empirical plan and the conditional expectation. Our results require only uniform boundedness of the cost function and no…

统计理论 · 数学 2023-05-18 Alberto González-Sanz , Shayan Hundrieser

Most existing works on transportation dynamics focus on networks of a fixed structure, but networks whose nodes are mobile have become widespread, such as cell-phone networks. We introduce a model to explore the basic physics of…

物理与社会 · 物理学 2015-05-30 Han-Xin Yang , Wen-Xu Wang , Yan-Bo Xie , Ying-Cheng Lai , Bing-Hong Wang

This paper presents a convex optimization framework for eco-driving and vehicle energy management problems. We will first show that several types of eco-driving and vehicle energy management problems can be modelled using the same notions…

最优化与控制 · 数学 2024-05-02 Y. J. J. Heuts , M. C. F. Donkers

The paper introduces and evaluates the concept of the dynamic interlining of buses. Dynamic interlining is an operational strategy for routes that have a terminal station at a common hub, that allows a portion of (or all) the fleet to be…

多智能体系统 · 计算机科学 2022-04-22 Seyedmostafa Zahedi , Haris N. Koutsopoulos , Zhenliang Ma

Public transport operators are gradually electrifying their bus fleets, predominantly with battery-powered drive trains. These buses commonly have to be scheduled to recharge in-service, which gives rise to a number of challenges. A major…

最优化与控制 · 数学 2024-07-22 Fabian Löbel , Ralf Borndörfer , Steffen Weider

In this paper, we focus on solving a class of constrained non-convex non-concave saddle point problems in a decentralized manner by a group of nodes in a network. Specifically, we assume that each node has access to a summand of a global…

最优化与控制 · 数学 2019-11-01 Weijie Liu , Aryan Mokhtari , Asuman Ozdaglar , Sarath Pattathil , Zebang Shen , Nenggan Zheng

We consider a general class of nonlinear diffusive models with bulk dissipation and boundary driving, and derive its hydrodynamic description in the large size limit. Both the average macroscopic behavior and the fluctuating properties of…

统计力学 · 物理学 2013-10-29 A. Prados , A. Lasanta , Pablo I. Hurtado

With rising shares of renewables and the need to properly assess trade-offs between transmission, storage and sectoral integration as balancing options, building a bridge between energy system models and detailed power flow studies becomes…

物理与社会 · 物理学 2022-04-29 Fabian Neumann , Veit Hagenmeyer , Tom Brown

The main result of the present paper is a statement on existence, uniqueness and regularity for mild solutions to a parabolic transport diffusion type equation that involves a non-smooth coefficient. We investigate related Cauchy problems…

偏微分方程分析 · 数学 2013-07-19 Elena Issoglio

Classic optimal transport theory is formulated through minimizing the expected transport cost between two given distributions. We propose the framework of distorted optimal transport by minimizing a distorted expected cost, which is the…

最优化与控制 · 数学 2025-05-20 Haiyan Liu , Bin Wang , Ruodu Wang , Sheng Chao Zhuang