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We consider a type of optimal switching problems with non-uniform execution delays and ramping. Such problems frequently occur in the operation of economical and engineering systems. We first provide a solution to the problem by applying a…

最优化与控制 · 数学 2017-02-15 Magnus Perninge

Recoverable robust optimization is a multi-stage approach, where it is possible to adjust a first-stage solution after the uncertain cost scenario is revealed. We analyze this approach for a class of selection problems. The aim is to choose…

最优化与控制 · 数学 2021-02-22 Marc Goerigk , Stefan Lendl , Lasse Wulf

The hitting set problem is a well-known NP-hard optimization problem in which, given a set of elements and a collection of subsets, the goal is to find the smallest selection of elements, such that each subset contains at least one element…

计算几何 · 计算机科学 2023-09-26 Sander Aarts , David B. Shmoys

We study reinforcement learning (RL) with linear function approximation. For episodic time-inhomogeneous linear Markov decision processes (linear MDPs) whose transition probability can be parameterized as a linear function of a given…

机器学习 · 计算机科学 2023-11-07 Jiafan He , Heyang Zhao , Dongruo Zhou , Quanquan Gu

We revisit a classical problem in transportation, known as the continuous (bilevel) network design problem, CNDP for short. We are given a graph for which the latency of each edge depends on the ratio of the edge flow and the capacity…

计算机科学与博弈论 · 计算机科学 2013-11-13 Martin Gairing , Tobias Harks , Max Klimm

One of the most important open problems in machine scheduling is the problem of scheduling a set of jobs on unrelated machines to minimize the makespan. The best known approximation algorithm for this problem guarantees an approximation…

离散数学 · 计算机科学 2015-03-17 José Verschae , Andreas Wiese

This paper considers linear discrete-time systems with additive disturbances, and designs a Model Predictive Control (MPC) law incorporating a dynamic feedback gain to minimise a quadratic cost function subject to a single chance…

系统与控制 · 电气工程与系统科学 2022-03-02 Shuhao Yan , Paul J. Goulart , Mark Cannon

We consider the classic problem of pole placement by state feedback. We offer an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing feedback matrix that can deliver any set of desired closed-loop…

最优化与控制 · 数学 2015-08-18 Robert Schmid , Lorenzo Ntogramatzidis , Thang Nguyen , Amit Pandey

Directed networks such as gene regulation networks and neural networks are connected by arcs (directed links). The nodes in a directed network are often strongly interwound by a huge number of directed cycles, which lead to complex…

物理与社会 · 物理学 2017-08-02 Jin-Hua Zhao , Hai-Jun Zhou

This work addresses weight optimization problem for fully-connected feed-forward neural networks. Unlike existing approaches that are based on back-propagation (BP) and chain rule gradient-based optimization (which implies iterative…

机器学习 · 计算机科学 2024-06-18 Slavisa Tomic , João Pedro Matos-Carvalho , Marko Beko

Optimization with preference feedback is an active research area with many applications in engineering systems where humans play a central role, such as building control and autonomous vehicles. While most existing studies focus on…

最优化与控制 · 数学 2026-03-31 Wenbin Wang , Wenjie Xu , Colin N. Jones

This paper addresses the problem of minimum cost resilient actuation-sensing-communication co-design for regular descriptor systems while ensuring selective strong structural system's properties. More specifically, the problem consists of…

最优化与控制 · 数学 2019-04-03 Nipun Popli , Sergio Pequito , Soummya Kar , A. Pedro Aguiar , Marija Ilic

The stabilization of unstable nonlinear systems and tracking control are challenging engineering problems due to the encompassed nonlinearities in dynamic systems and their scale. In the past decades, numerous observer-based control designs…

系统与控制 · 电气工程与系统科学 2021-04-22 Sebastian A. Nugroho , Suyash C. Vishnoi , Ahmad F. Taha , Christian G. Claudel

We propose a framework for inversion-based estimation of certain categories of faults in discrete-time linear systems. The fault signal, as an unknown input, is reconstructed from its projections onto two subspaces. One projection is…

系统与控制 · 计算机科学 2019-02-26 Esmaeil Naderi , Khashayar Khorasani

Emerging cyber-physical systems impel the development of communication protocols that optimize resource utilization. This article investigates infinite-horizon optimal scheduling for resource-aware networked control systems by addressing…

系统与控制 · 电气工程与系统科学 2025-02-11 Siyi Wang , Sandra Hirche

Given a directed graph $G$ on $n$ vertices with a special vertex $s$, the directed minimum degree spanning tree problem requires computing a incoming spanning tree rooted at $s$ whose maximum tree in-degree is the smallest among all such…

数据结构与算法 · 计算机科学 2019-05-28 Ran Duan , Tianyi Zhang

We consider the robust version of items selection problem, in which the goal is to choose representatives from a family of sets, preserving constraints on the allowed items' combinations. We prove NP-hardness of the deterministic version,…

离散数学 · 计算机科学 2019-07-23 Maciej Drwal

We present a deterministic $(1+o(1))$-approximation $(n^{1/2+o(1)}+D^{1+o(1)})$-time algorithm for solving the single-source shortest paths problem on distributed weighted networks (the CONGEST model); here $n$ is the number of nodes in the…

分布式、并行与集群计算 · 计算机科学 2018-09-20 Monika Henzinger , Sebastian Krinninger , Danupon Nanongkai

We consider the problem of optimizing the steady state of a dynamical system in closed loop. Conventionally, the design of feedback optimization control laws assumes that the system is stationary. However, in reality, the dynamics of the…

最优化与控制 · 数学 2020-05-11 Sandeep Menta , Adrian Hauswirth , Saverio Bolognani , Gabriela Hug , Florian Dörfler

Modern preference alignment techniques, such as Best-of-N (BoN) sampling, rely on reward models trained with pairwise comparison data. While effective at learning relative preferences, this paradigm fails to capture a signal of response…

统计方法学 · 统计学 2025-10-14 Hyung Gyu Rho , Sian Lee
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