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We introduce a novel data-driven method to mitigate the risk of cascading failures in delayed discrete-time Linear Time-Invariant (LTI) systems. Our approach involves formulating a distributionally robust finite-horizon optimal control…

Optimization and Control · Mathematics 2023-10-19 Guangyi Liu , Arash Amini , Vivek Pandey , Nader Motee

Although the standard formulations of prediction problems involve fully-observed and noiseless data drawn in an i.i.d. manner, many applications involve noisy and/or missing data, possibly involving dependence, as well. We study these…

Statistics Theory · Mathematics 2015-03-19 Po-Ling Loh , Martin J. Wainwright

We study an optimization problem related to the approximation of given data by a linear combination of transformed modes. In the simplest case, the optimization problem reduces to a minimization problem well-studied in the context of proper…

Optimization and Control · Mathematics 2021-07-12 Felix Black , Philipp Schulze , Benjamin Unger

We consider robust shortest path problems, where the aim is to find a path that optimizes the worst-case performance over an uncertainty set containing all relevant scenarios for arc costs. The usual approach for such problems is to assume…

Optimization and Control · Mathematics 2018-02-13 André Chassein , Trivikram Dokka , Marc Goerigk

Investigation of machine learning algorithms robust to changes between the training and test distributions is an active area of research. In this paper we explore a special type of dataset shift which we call class-dependent domain shift.…

Machine Learning · Computer Science 2020-07-13 Tigran Galstyan , Hrant Khachatrian , Greg Ver Steeg , Aram Galstyan

With the rapid development of connecting massive devices to the Internet, especially for remote areas without cellular network infrastructures, space-air-ground integrated networks (SAGINs) emerge and offload computation-intensive tasks. In…

Information Theory · Computer Science 2022-06-07 Yali Chen , Bo Ai , Yong Niu , Hongliang Zhang , Zhu Han

This paper reports an initial work on power system oscillation damping improvement using a data-driven online optimization method. An online oscillation damping optimization mod-el is proposed and formulated in a form solvable by the…

Optimization and Control · Mathematics 2019-01-14 Zhihao Chen , Hanchen Xu , Junbo Zhang , Lin Guan

Learning robust models under adversarial settings is widely recognized as requiring a considerably large number of training samples. Recent work proposes semi-supervised adversarial training (SSAT), which utilizes external unlabeled or…

Machine Learning · Computer Science 2026-03-10 Somrita Ghosh , Yuelin Xu , Xiao Zhang

This paper focuses on the contextual optimization problem where a decision is subject to some uncertain parameters and covariates that have some predictive power on those parameters are available before the decision is made. More…

Optimization and Control · Mathematics 2024-08-12 Zhaoen Li , Maoqi Liu , Zhi-Hai Zhang

An alternative data-driven modeling approach has been proposed and employed to gain fundamental insights into robot motion interaction with granular terrain at certain length scales. The approach is based on an integration of dimension…

Robotics · Computer Science 2025-06-13 Guanjin Wang , Xiangxue Zhao , Shapour Azarm , Balakumar Balachandran

This paper is concerned with the finite element discretization of the data driven approach according to arXiv:1510.04232 for the solution of PDEs with a material law arising from measurement data. To simplify the setting, we focus on a…

Numerical Analysis · Mathematics 2023-03-13 Christian Meyer , Annika Müller

We consider a multi-period stochastic control problem where the multivariate driving stochastic factor of the system has known marginal distributions but uncertain dependence structure. To solve the problem, we propose to implement the…

Optimization and Control · Mathematics 2022-09-13 Erhan Bayraktar , Tao Chen

Recent work in data mining and related areas has highlighted the importance of the statistical assessment of data mining results. Crucial to this endeavour is the choice of a non-trivial null model for the data, to which the found patterns…

Artificial Intelligence · Computer Science 2009-06-30 Tijl De Bie

Many applications in data analysis begin with a set of points in a Euclidean space that is partitioned into clusters. Common tasks then are to devise a classifier deciding which of the clusters a new point is associated to, finding outliers…

Machine Learning · Computer Science 2014-06-25 Steffen Borgwardt

This paper presents a tractable framework for data-driven synthesis of robustly safe control laws. Given noisy experimental data and some priors about the structure of the system, the goal is to synthesize a state feedback law such that the…

Optimization and Control · Mathematics 2023-03-17 Jian Zheng , Tianyu Dai , Jared Miller , Mario Sznaier

The optimal control of distribution networks often requires monitoring and communication infrastructure, either centralized or distributed. However, most of the current distribution systems lack this kind of infrastructure and rely on…

Optimization and Control · Mathematics 2019-06-13 Stavros Karagiannopoulos , Petros Aristidou , Gabriela Hug

Constructing uncertainty sets as unions of multiple subsets has emerged as an effective approach for creating compact and flexible uncertainty representations in data-driven robust optimization (RO). This paper focuses on two separate…

Optimization and Control · Mathematics 2025-02-18 Yun Li , Neil Yorke-Smith , Tamas Keviczky

Model-based clustering is widely-used in a variety of application areas. However, fundamental concerns remain about robustness. In particular, results can be sensitive to the choice of kernel representing the within-cluster data density.…

Machine Learning · Statistics 2019-06-27 Leo L Duan , David B Dunson

Data-driven learning is generalized to consider history-dependent multi-fidelity data, while quantifying epistemic uncertainty and disentangling it from data noise (aleatoric uncertainty). This generalization is hierarchical and adapts to…

Machine Learning · Computer Science 2025-07-21 Jiaxiang Yi , Bernardo P. Ferreira , Miguel A. Bessa

The increase and rapid growth of data produced by scientific instruments, the Internet of Things (IoT), and social media is causing data transfer performance and resource consumption to garner much attention in the research community. The…

Performance · Computer Science 2023-09-29 Hasibul Jamil , Lavone Rodolph , Jacob Goldverg , Tevfik Kosar