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Robust optimization provides a principled and unified framework to model many problems in modern operations research and computer science applications, such as risk measures minimization and adversarially robust machine learning. To use a…

最优化与控制 · 数学 2024-10-04 Hao Hao , Peter Zhang

In this paper we focus on the linear functionals defining an approximate version of the gradient of a function. These functionals are often used when dealing with optimization problems where the computation of the gradient of the objective…

最优化与控制 · 数学 2021-05-21 Marco Boresta , Tommaso Colombo , Alberto De Santis , Stefano Lucidi

In this paper, the optimal mean-reverting portfolio (MRP) design problem is considered, which plays an important role for the statistical arbitrage (a.k.a. pairs trading) strategy in financial markets. The target of the optimal MRP design…

投资组合管理 · 定量金融 2018-03-09 Ziping Zhao , Rui Zhou , Zhongju Wang , Daniel P. Palomar

We extend a primal-dual fixed point algorithm (PDFP) proposed in [5] to solve two kinds of separable multi-block minimization problems, arising in signal processing and imaging science. This work shows the flexibility of applying PDFP…

最优化与控制 · 数学 2016-02-02 Peijun Chen , Jianguo Huang , Xiaoqun Zhang

In end-to-end distributed real time systems, a task may be executed sequentially on different processors. The end-toend task response time must not exceed the end-to-end task deadline to consider the task a schedulable task. In transient…

分布式、并行与集群计算 · 计算机科学 2013-06-04 W. El-Haweet , Islam Elgedawy , Ibrahim Abd El-Salam

The Hopfield network has been applied to solve optimization problems over decades. However, it still has many limitations in accomplishing this task. Most of them are inherited from the optimization algorithms it implements. The computation…

神经与进化计算 · 计算机科学 2007-05-23 Xiaofei Huang

Approximate circuits trading the power consumption for the quality of results play a key role in the development of energy-aware systems. Designing complex approximate circuits is, however, a very difficult and computationally demanding…

硬件体系结构 · 计算机科学 2025-10-23 Milan Češka , Jiří Matyáš , Vojtech Mrazek , Tomáš Vojnar

The convergence analysis for least-squares finite element methods led to various adaptive mesh-refinement strategies: Collective marking algorithms driven by the built-in a posteriori error estimator or an alternative explicit…

数值分析 · 数学 2023-09-18 Philipp Bringmann

The ability to differentiate through optimization problems has unlocked numerous applications, from optimization-based layers in machine learning models to complex design problems formulated as bilevel programs. It has been shown that…

最优化与控制 · 数学 2024-03-05 Lucas Fuentes Valenzuela , Robin Brown , Marco Pavone

This paper considers the low-observability state estimation problem in power distribution networks and develops a decentralized state estimation algorithm leveraging the matrix completion methodology. Matrix completion has been shown to be…

最优化与控制 · 数学 2019-10-14 April Sagan , Yajing Liu , Andrey Bernstein

Many important physical problems, such as fluid structure interaction or conjugate heat transfer, require numerical methods that compute boundary derivatives or fluxes to high accuracy. This paper proposes a novel alternative to calculating…

数值分析 · 数学 2018-03-12 David Wells , Jeffrey Banks

This paper presents a formal framework and proposes algorithms to extend forecast reconciliation to discrete-valued data to extend forecast reconciliation to discrete-valued data, including low counts. A novel method is introduced based on…

统计方法学 · 统计学 2024-04-16 Bohan Zhang , Anastasios Panagiotelis , Yanfei Kang

The electrical network reconfiguration problem aims to minimize losses in a distribution system by adjusting switches while ensuring radial topology. The growing use of renewable energy and the complexity of managing modern power grids make…

系统与控制 · 电气工程与系统科学 2025-08-12 Yacine Mokhtari , Patrick Coirault , Emmanuel Moulay , Jérôme Le Ny , Didier Larraillet

This paper presents a randomized algorithm for computing the near-optimal low-rank dynamic mode decomposition (DMD). Randomized algorithms are emerging techniques to compute low-rank matrix approximations at a fraction of the cost of…

数值分析 · 数学 2019-11-28 N. Benjamin Erichson , Lionel Mathelin , Steven L. Brunton , J. Nathan Kutz

The complex-step derivative approximation is a numerical differentiation technique that can achieve analytical accuracy, to machine precision, with a single function evaluation. In this letter, the complex-step derivative approximation is…

机器人学 · 计算机科学 2021-05-07 Charles Champagne Cossette , Alex Walsh , James Richard Forbes

Approximate computing has shown to provide new ways to improve performance and power consumption of error-resilient applications. While many of these applications can be found in image processing, data classification or machine learning, we…

数值分析 · 计算机科学 2017-03-08 Michael Lass , Thomas D. Kühne , Christian Plessl

This paper considers an optimization problem that components of the objective function are available at different nodes of a network and nodes are allowed to only exchange information with their neighbors. The decentralized alternating…

最优化与控制 · 数学 2015-11-27 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

This paper describes a data-driven framework for approximate global optimization in which precomputed solutions to a sample of problems are retrieved and adapted during online use to solve novel problems. This approach has promise for…

机器人学 · 计算机科学 2016-05-17 Kris Hauser

Low-rank structure have been profoundly studied in data mining and machine learning. In this paper, we show a dense matrix $X$'s low-rank approximation can be rapidly built from its left and right random projections $Y_1=XA_1$ and…

机器学习 · 统计学 2011-12-23 Tianyi Zhou , Dacheng Tao

The theoretical and empirical performance of Empirical Risk Minimization (ERM) often suffers when loss functions are poorly behaved with large Lipschitz moduli and spurious sharp minimizers. We propose and analyze a counterpart to ERM…

最优化与控制 · 数学 2021-07-08 Matthew Norton , Johannes O. Royset