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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

In this work, we consider the low rank decomposition (SDPR) of general convex semidefinite programming problems (SDP) that contain both a positive semidefinite matrix and a nonnegative vector as variables. We develop a rank-support-adaptive…

最优化与控制 · 数学 2023-12-14 Tianyun Tang , Kim-Chuan Toh

The optimal reactive power dispatch (ORPD) problem is an alternating current optimal power flow (ACOPF) problem where discrete control devices for regulating the reactive power, such as shunt elements and tap changers, are considered. The…

最优化与控制 · 数学 2019-12-30 Christian Bingane , Miguel F. Anjos , Sébastien Le Digabel

Although the governing equations of many systems, when derived from first principles, may be viewed as known, it is often too expensive to numerically simulate all the interactions they describe. Therefore researchers often seek simpler…

统计计算 · 统计学 2021-05-03 Tapio Schneider , Andrew M. Stuart , Jin-Long Wu

Dispatching strategies for gas turbines (GTs) are changing in modern electricity grids. A growing incorporation of intermittent renewable energy requires GTs to operate more but shorter cycles and more frequently on partial loads. Deep…

机器学习 · 计算机科学 2023-08-30 Manuel Sage , Martin Staniszewski , Yaoyao Fiona Zhao

In this paper, we study the single-source shortest-path (SSSP) problem with positive edge weights, which is a notoriously hard problem in the parallel context. In practice, the $\Delta$-stepping algorithm proposed by Meyer and Sanders has…

数据结构与算法 · 计算机科学 2021-12-16 Xiaojun Dong , Yan Gu , Yihan Sun , Yunming Zhang

Dynamic Mode Decomposition (DMD) has emerged as a powerful tool for analyzing the dynamics of non-linear systems from experimental datasets. Recently, several attempts have extended DMD to the context of low-rank approximations. This…

机器学习 · 统计学 2018-05-18 Patrick Héas , Cédric Herzet

In this paper, we discuss our approach and algorithmic framework for solving large-scale security constrained optimal power flow (SCOPF) problems. SCOPF is a mixed integer non-convex optimization problem that aims to obtain the minimum…

最优化与控制 · 数学 2020-06-02 Mohammadhafez Bazrafshan , Kyri Baker , Javad Mohammadi

We address distributed learning problems, both nonconvex and convex, over undirected networks. In particular, we design a novel algorithm based on the distributed Alternating Direction Method of Multipliers (ADMM) to address the challenges…

机器学习 · 计算机科学 2026-03-23 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini

This paper concerns the adaptive control problem for a class of nonlinear stochastic systems in which the state update is given by a nonlinear function of linear dynamics plus additive stochastic noise. Such systems arise in a wide range of…

系统与控制 · 电气工程与系统科学 2026-04-09 Lantian Zhang , Bo Wahlberg , Silun Zhang

Load forecasting has always been a challenge for grid operators due to the growing complexity of power systems. The increase in extreme weather and the need for energy from customers has led to load forecasting sometimes failing. This…

信号处理 · 电气工程与系统科学 2025-10-09 Nishant Gadde , Yoshua Alexander , Sarvesh Parthasarthy , Arman Allidina

Energy storage has been proven to yield positive effects on planning, operation and control of electric grids. It has become a crucial task to properly model the energy storage systems (ESS) under the framework of grid optimization on…

最优化与控制 · 数学 2019-01-21 Chiebuka Eyisi , Ameena Saad Al-Sumaiti , Konstantin Turitsyn , Qifeng Li

Deep Reinforcement Learning (DRL) algorithms have been successfully applied to a range of challenging control tasks. However, these methods typically suffer from three core difficulties: temporal credit assignment with sparse rewards, lack…

机器学习 · 计算机科学 2018-10-30 Shauharda Khadka , Kagan Tumer

Physical models with uncertain inputs are commonly represented as parametric partial differential equations (PDEs). That is, PDEs with inputs that are expressed as functions of parameters with an associated probability distribution.…

In this paper, we propose a distributed algorithm for stochastic smooth, non-convex optimization. We assume a worker-server architecture where $N$ nodes, each having $n$ (potentially infinite) number of samples, collaborate with the help of…

We propose a hidden convexity-based method to address distributed optimal energy flow (OEF) problems for transmission-level integrated electricity-gas systems. First, we develop a node-wise decoupling method to de-compose an OEF problem…

最优化与控制 · 数学 2024-07-09 Rong-Peng Liu , Yue Song , Junhong Liu , Xiaozhe Wang , Jinpeng Guo , Yunhe Hou

We propose a new convex programming relaxation for the weighted Nash social welfare (NSW) problem that achieves a matching $(e^{1/e}\approx 1.445)$-approximation via the rounding algorithm of Feng and Li. Unlike the exponential-size…

数据结构与算法 · 计算机科学 2026-04-28 Yuda Feng , Weijiang Hu , Shi Li

In this paper, we propose a new approach to model reduction of parameterized partial differential equations (PDEs) based on the concept of adaptive reduced bases. The presented approach is particularly suited for large-scale nonlinear…

数值分析 · 数学 2014-10-01 Liqian Peng , Kamran Mohseni

In this article, we present a novel formulation for the load-dependent traveling salesman problem (LD-TSP), in which travel cost (or energy expended) depends on the vehicle's current load. This problem is relevant for package delivery and…

A large number of problems in optimization, machine learning, signal processing can be effectively addressed by suitable semidefinite programming (SDP) relaxations. Unfortunately, generic SDP solvers hardly scale beyond instances with a few…

最优化与控制 · 数学 2016-03-15 Andrea Montanari