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This paper considers the problem of online optimization where the objective function is time-varying. In particular, we extend coordinate descent type algorithms to the online case, where the objective function varies after a finite number…

最优化与控制 · 数学 2024-04-26 Yankai Lin , Iman Shames , Dragan Nešić

We study a bi-level online provisioning and scheduling problem motivated by network resource allocation, where provisioning decisions are made at a slow time scale while queue-/state-dependent scheduling is performed at a fast time scale.…

机器学习 · 计算机科学 2026-02-24 Jialei Liu , C. Emre Koksal , Ming Shi

Optimizing the execution time of tensor program, e.g., a convolution, involves finding its optimal configuration. Searching the configuration space exhaustively is typically infeasible in practice. In line with recent research using TVM, we…

机器学习 · 统计学 2019-11-28 Jakub M. Tomczak , Romain Lepert , Auke Wiggers

In Model Predictive Control (MPC), the objective function plays a central role in determining the closed-loop behavior of the system, and must therefore be designed to achieve the desired closed-loop performance. However, in real-world…

系统与控制 · 电气工程与系统科学 2025-12-01 Pablo Krupa , Hasna El Hasnaouy , Mario Zanon , Alberto Bemporad

This paper proposes a new family of algorithms for training neural networks (NNs). These are based on recent developments in the field of non-convex optimization, going under the general name of successive convex approximation (SCA)…

机器学习 · 统计学 2017-06-16 Simone Scardapane , Paolo Di Lorenzo

In order to model risk aversion in reinforcement learning, an emerging line of research adapts familiar algorithms to optimize coherent risk functionals, a class that includes conditional value-at-risk (CVaR). Because optimizing the…

机器学习 · 计算机科学 2021-03-09 Audrey Huang , Liu Leqi , Zachary C. Lipton , Kamyar Azizzadenesheli

In this paper we propose a model-based approach to the design of online optimization algorithms, with the goal of improving the tracking of the solution trajectory (trajectories) w.r.t. state-of-the-art methods. We focus first on quadratic…

最优化与控制 · 数学 2023-07-24 Nicola Bastianello , Ruggero Carli , Sandro Zampieri

We develop a one-Newton-step-per-horizon, online, lag-$L$, model predictive control (MPC) algorithm for solving discrete-time, equality-constrained, nonlinear dynamic programs. Based on recent sensitivity analysis results for the target…

最优化与控制 · 数学 2022-02-08 Sen Na , Mihai Anitescu

Predicting model performance at larger scales enables the design of training strategies and architectures tailored to specific performance targets. Empirical scaling law research identifies functional forms to aid this prediction task.…

机器学习 · 计算机科学 2026-05-26 Viktoria Schram , Markus Hiller , Daniel Beck , Trevor Cohn

This paper develops and analyzes an online distributed proximal-gradient method (DPGM) for time-varying composite convex optimization problems. Each node of the network features a local cost that includes a smooth strongly convex function…

最优化与控制 · 数学 2024-05-07 Nicola Bastianello , Emiliano Dall'Anese

In this work, we study the task of distributed optimization over a network of learners in which each learner possesses a convex cost function, a set of affine equality constraints, and a set of convex inequality constraints. We propose a…

最优化与控制 · 数学 2015-06-18 Zaid J. Towfic , Ali H. Sayed

Predictive control is frequently used for control problems involving constraints. Being an optimization based technique utilizing a user specified so-called stage cost, performance properties, i.e., bounds on the infinite horizon…

系统与控制 · 电气工程与系统科学 2022-09-09 Lukas Beckenbach , Stefan Streif

We present foundations for using Model Predictive Control (MPC) as a differentiable policy class for reinforcement learning in continuous state and action spaces. This provides one way of leveraging and combining the advantages of…

机器学习 · 计算机科学 2019-10-15 Brandon Amos , Ivan Dario Jimenez Rodriguez , Jacob Sacks , Byron Boots , J. Zico Kolter

This paper considers risk-sensitive model predictive control for stochastic systems with a decision-dependent distribution. This class of systems is commonly found in human-robot interaction scenarios. We derive computationally tractable…

最优化与控制 · 数学 2025-06-02 Renzi Wang , Mathijs Schuurmans , Panagiotis Patrinos

This work presents a suboptimality study of a particular model predictive control with a stage cost shaping based on the ideas of reinforcement learning. The focus of the suboptimality study is to derive quantities relating the…

最优化与控制 · 数学 2020-04-28 Lukas Beckenbach , Pavel Osinenko , Stefan Streif

Optimal actuator and control design is studied as a multi-level optimisation problem, where the actuator design is evaluated based on the performance of the associated optimal closed loop. The evaluation of the optimal closed loop for a…

最优化与控制 · 数学 2024-02-13 Dante Kalise , Estefanía Loayza-Romero , Kirsten A. Morris , Zhengang Zhong

An online non-convex optimization problem is considered where the goal is to minimize the flow time (total delay) of a set of jobs by modulating the number of active servers, but with a switching cost associated with changing the number of…

数据结构与算法 · 计算机科学 2024-07-02 Rahul Vaze , Jayakrishnan Nair

In this paper we present a Learning Model Predictive Control (LMPC) strategy for linear and nonlinear time optimal control problems. Our work builds on existing LMPC methodologies and it guarantees finite time convergence properties for the…

系统与控制 · 电气工程与系统科学 2020-10-06 Ugo Rosolia , Francesco Borrelli

The existing machine learning algorithms for minimizing the convex function over a closed convex set suffer from slow convergence because their learning rates must be determined before running them. This paper proposes two machine learning…

最优化与控制 · 数学 2019-09-02 Kazuhiro Hishinuma , Hideaki Iiduka

We consider online convex optimization with time-varying stage costs and additional switching costs. Since the switching costs introduce coupling across all stages, multi-step-ahead (long-term) predictions are incorporated to improve the…

机器学习 · 计算机科学 2020-11-26 Yingying Li , Na Li
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