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In this paper, we study a dynamic version of the sharing problem, in which a dynamic system cost function composed of time-variant local costs of subsystems and a shared time-variant cost of the whole system is minimized. A dynamic…

Optimization and Control · Mathematics 2017-03-16 Xuanyu Cao , K. J. Ray Liu

Load balancing and auto scaling are at the core of scalable, contemporary systems, addressing dynamic resource allocation and service rate adjustments in response to workload changes. This paper introduces a novel model and algorithms for…

Systems and Control · Electrical Eng. & Systems 2024-06-21 S. R. Eshwar , Lucas Lopes Felipe , Alexandre Reiffers-Masson , Daniel Sadoc Menasché , Gugan Thoppe

Online optimization has emerged as powerful tool in large scale optimization. In this paper, we introduce efficient online algorithms based on the alternating directions method (ADM). We introduce a new proof technique for ADM in the batch…

Machine Learning · Computer Science 2012-07-03 Huahua Wang , Arindam Banerjee

This paper investigates distributed online convex optimization in the presence of an aggregative variable without any global/central coordinators over a multi-agent network, where each individual agent is only able to access partial…

Optimization and Control · Mathematics 2020-07-15 Xiuxian Li , Xinlei Yi , Lihua Xie

Approximate Dynamic Programming (ADP) is a methodology to solve multi-stage stochastic optimization problems in multi-dimensional discrete or continuous spaces. ADP approximates the optimal value function by adaptively sampling both action…

Optimization and Control · Mathematics 2021-07-02 Vijay Kumar , Mort Webster

This study is aimed at answering the famous question of how the approximation errors at each iteration of Approximate Dynamic Programming (ADP) affect the quality of the final results considering the fact that errors at each iteration…

Systems and Control · Computer Science 2015-05-18 Ali Heydari

This article investigates the problem of controlling linear time-invariant systems subject to time-varying and a priori unknown cost functions, state and input constraints, and exogenous disturbances. We combine the online convex…

Systems and Control · Electrical Eng. & Systems 2025-12-18 Marko Nonhoff , Emiliano Dall'Anese , Matthias A. Müller

Semidefinite programming (SDP) is a unifying framework that generalizes both linear programming and quadratically-constrained quadratic programming, while also yielding efficient solvers, both in theory and in practice. However, there exist…

Data Structures and Algorithms · Computer Science 2022-10-24 Elena Grigorescu , Young-San Lin , Sandeep Silwal , Maoyuan Song , Samson Zhou

In this paper, we study online convex optimization in dynamic environments, and aim to bound the dynamic regret with respect to any sequence of comparators. Existing work have shown that online gradient descent enjoys an…

Machine Learning · Computer Science 2018-10-26 Lijun Zhang , Shiyin Lu , Zhi-Hua Zhou

Conservative Policy Iteration (CPI) is a founding algorithm of Approximate Dynamic Programming (ADP). Its core principle is to stabilize greediness through stochastic mixtures of consecutive policies. It comes with strong theoretical…

Machine Learning · Computer Science 2020-01-07 Nino Vieillard , Olivier Pietquin , Matthieu Geist

Recently there has been much work on selective sampling, an online active learning setting, in which algorithms work in rounds. On each round an algorithm receives an input and makes a prediction. Then, it can decide whether to query a…

Machine Learning · Computer Science 2014-02-18 Edward Moroshko , Koby Crammer

In this paper, we provide a general framework for studying multi-agent online learning problems in the presence of delays and asynchronicities. Specifically, we propose and analyze a class of adaptive dual averaging schemes in which agents…

Machine Learning · Computer Science 2022-04-19 Yu-Guan Hsieh , Franck Iutzeler , Jérôme Malick , Panayotis Mertikopoulos

We consider the revenue management problem of finding profit-maximising prices for delivery time slots in the context of attended home delivery. This multi-stage optimal control problem admits a dynamic programming formulation that is…

Optimization and Control · Mathematics 2020-08-04 Denis Lebedev , Kostas Margellos , Paul Goulart

In this paper, we consider the problem of real-time transmission scheduling over time-varying channels. We first formulate the transmission scheduling problem as a Markov decision process (MDP) and systematically unravel the structural…

Machine Learning · Computer Science 2010-03-15 Fangwen Fu , Mihaela van der Schaar

The recent drastic increase in mobile data traffic has pushed the mobile edge computing systems to the limit of their capacity. A promising solution to this problem is the task migration provided by unmanned aerial vehicles (UAV). Key…

Systems and Control · Electrical Eng. & Systems 2023-06-22 Khai Doan , Wesley Araujo , Evangelos Kranakis , Ioannis Lambadaris , Yannis Viniotis

This paper develops a dynamic programming (DP) approach for decentralized stochastic optimal control problems with delayed sharing information patterns, which exhibits the fundamental Properties of classical DP of centralized partially…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Charalambos D. Charalambous , Umarbek Guvercin , Seddik Djouadi

We propose empirical dynamic programming algorithms for Markov decision processes (MDPs). In these algorithms, the exact expectation in the Bellman operator in classical value iteration is replaced by an empirical estimate to get `empirical…

Optimization and Control · Mathematics 2013-11-26 William B. Haskell , Rahul Jain , Dileep Kalathil

Regret minimization is treated as the golden rule in the traditional study of online learning. However, regret minimization algorithms tend to converge to the static optimum, thus being suboptimal for changing environments. To address this…

Machine Learning · Computer Science 2020-02-07 Lijun Zhang , Shiyin Lu , Tianbao Yang

Differentially private (DP) optimization is the standard paradigm to learn large neural networks that are accurate and privacy-preserving. The computational cost for DP deep learning, however, is notoriously heavy due to the per-sample…

Machine Learning · Computer Science 2023-09-20 Zhiqi Bu , Yu-Xiang Wang , Sheng Zha , George Karypis

Flows over time generalize classical network flows by introducing a notion of time. Each arc is equipped with a transit time that specifies how long flow takes to traverse it, while flow rates may vary over time within the given edge…

Discrete Mathematics · Computer Science 2012-11-13 Jan-Philipp W. Kappmeier , Jannik Matuschke , Britta Peis
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