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In this paper, we demonstrate a formulation for optimizing coupled submodular maximization problems with provable sub-optimality bounds. In robotics applications, it is quite common that optimization problems are coupled with one another…

机器人学 · 计算机科学 2021-11-19 Jun Liu , Ryan K. Williams

In scenarios where high penetration of renewable energy sources (RES) is connected to the grid over long distances, the output of RES exhibits significant fluctuations, making it difficult to accurately characterize. The intermittency and…

最优化与控制 · 数学 2025-02-27 Yuhong Wang , Xinyao Wang , Chen Shen , Jianquan Liao , Qianni Cao , Yufei Teng , Huabo Shi , Gang Chen

Distribution system integrated community microgrids (CMGs) can partake in restoring loads during extended duration outages. At such times, the CMG is challenged with limited resource availability, absence of robust grid support, and…

系统与控制 · 电气工程与系统科学 2022-02-11 Ashwin Shirsat , Valliappan Muthukaruppan , Rongxing Hu , Victor Paduani , Bei Xu , Lidong Song , Yiyan Li , Ning Lu , Mesut Baran , David Lubkeman , Wenyuan Tang

Distributionally robust optimization (DRO) problems are increasingly seen as a viable method to train machine learning models for improved model generalization. These min-max formulations, however, are more difficult to solve. We therefore…

机器学习 · 统计学 2020-11-03 Soumyadip Ghosh , Mark Squillante , Ebisa Wollega

Trust Region Policy Optimization (TRPO) and Proximal Policy Optimization (PPO) are among the most successful policy gradient approaches in deep reinforcement learning (RL). While these methods achieve state-of-the-art performance across a…

机器学习 · 计算机科学 2020-06-22 Ahmed Touati , Amy Zhang , Joelle Pineau , Pascal Vincent

This paper analyzes a two-timescale stochastic algorithm framework for bilevel optimization. Bilevel optimization is a class of problems which exhibit a two-level structure, and its goal is to minimize an outer objective function with…

最优化与控制 · 数学 2022-06-09 Mingyi Hong , Hoi-To Wai , Zhaoran Wang , Zhuoran Yang

Submodular functions have applications throughout machine learning, but in many settings, we do not have direct access to the underlying function $f$. We focus on stochastic functions that are given as an expectation of functions over a…

机器学习 · 计算机科学 2018-06-07 Matthew Staib , Bryan Wilder , Stefanie Jegelka

This paper addresses the transmission network expansion planning problem considering storage units under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby short- and long-term…

最优化与控制 · 数学 2021-01-19 Álvaro García-Cerezo , Luis Baringo , Raquel García-Bertrand

In this paper, we propose a two-stage weighted projection method (TS-WPM) for time-difference-of-arrival (TDOA)-based localization, providing provable improvements in positioning accuracy, particularly under high geometric dilution of…

信息论 · 计算机科学 2025-10-01 Harish K. Dureppagari , R. Michael Buehrer , Harpreet S. Dhillon

Mobility systems featuring shared vehicles are often unable to serve all potential customers, as the distribution of demand does not coincide with the positions of vehicles at any given time. System operators often choose to reposition…

最优化与控制 · 数学 2019-02-05 Joseph Warrington , Dominik Ruchti

Digital Twin (DT) is a transformative technology poised to revolutionize a wide range of applications. This advancement has led to the emergence of digital twin as a service (DTaaS), enabling users to interact with DT models that accurately…

网络与互联网体系结构 · 计算机科学 2025-05-23 Yuxiang Li , Jiayuan Chen , Changyan Yi

This letter proposes a two-stage distributionally robust optimization (DRO) framework for secure deployment and beamforming in an aerial reconfigurable intelligent surface (A-RIS) assisted millimeter-wave system. To account for…

信息检索 · 计算机科学 2025-12-01 Zhongming Feng , Qiling Gao , Zeping Sui , Yun Lin , Michail Matthaiou

Robust optimization typically follows a worst-case perspective, where a single scenario may determine the objective value of a given solution. Accordingly, it is a challenging task to reduce the size of an uncertainty set without changing…

最优化与控制 · 数学 2022-09-02 Marc Goerigk , Mohammad Khosravi

Two-stage adaptive robust optimization (ARO) is a powerful approach for planning under uncertainty, balancing first-stage decisions with recourse decisions made after uncertainty is realized. To account for uncertainty, modelers typically…

系统与控制 · 电气工程与系统科学 2025-04-10 Aron Brenner , Rahman Khorramfar , Jennifer Sun , Saurabh Amin

Topology design is a critical task for the reliability, economic operation, and resilience of distribution systems. This paper proposes a distributionally robust optimization (DRO) model for designing the topology of a new distribution…

最优化与控制 · 数学 2018-08-29 Sadra Babaei , Ruiwei Jiang , Chaoyue Zhao

We address the issue of estimation bias in deep reinforcement learning (DRL) by introducing solution mechanisms that include a new, twin TD-regularized actor-critic (TDR) method. It aims at reducing both over and under-estimation errors.…

机器学习 · 计算机科学 2023-11-08 Junmin Zhong , Ruofan Wu , Jennie Si

Mirror descent (MD), a well-known first-order method in constrained convex optimization, has recently been shown as an important tool to analyze trust-region algorithms in reinforcement learning (RL). However, there remains a considerable…

机器学习 · 计算机科学 2021-06-08 Manan Tomar , Lior Shani , Yonathan Efroni , Mohammad Ghavamzadeh

Given a collection of monotone submodular functions, the goal of Two-Stage Submodular Maximization (2SSM) [Balkanski et al., 2016] is to restrict the ground set so an objective selected u.a.r. from the collection attains a high maximal…

数据结构与算法 · 计算机科学 2025-10-23 Iasonas Nikolaou , Miltiadis Stouras , Stratis Ioannidis , Evimaria Terzi

Practical machine learning systems often operate in multiple sequential stages, as seen in ranking and recommendation systems, which typically include a retrieval phase followed by a ranking phase. Effectively assessing prediction…

信息检索 · 计算机科学 2025-02-04 Yunpeng Xu , Mufang Ying , Wenge Guo , Zhi Wei

In distributed model predictive control (DMPC), where a centralized optimization problem is solved in distributed fashion using dual decomposition, it is important to keep the number of iterations in the solution algorithm, i.e. the amount…

最优化与控制 · 数学 2013-07-11 Pontus Giselsson , Anders Rantzer