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Model predictive control (MPC) is a powerful framework for optimal control of dynamical systems. However, MPC solvers suffer from a high computational burden that restricts their application to systems with low sampling frequency. This…

Optimization and Control · Mathematics 2025-03-12 Casian Iacob , Hany Abdulsamad , Simo Särkkä

We consider two-stage robust optimization problems, which can be seen as games between a decision maker and an adversary. After the decision maker fixes part of the solution, the adversary chooses a scenario from a specified uncertainty…

Optimization and Control · Mathematics 2022-01-03 Marc Goerigk , Stefan Lendl , Lasse Wulf

Autonomous microgrid planning is a Mixed-Integer Non Convex decision problem that requires to consider investments in both distribution and generation capacity and represents significant computation challenges. We proposed in a previous…

Optimization and Control · Mathematics 2017-03-21 Benoît Martin , François Glineur , Emmanuel De Jaeger

Machine learning algorithms are vulnerable to poisoning attacks: An adversary can inject malicious points in the training dataset to influence the learning process and degrade the algorithm's performance. Optimal poisoning attacks have…

Machine Learning · Computer Science 2019-09-26 Luis Muñoz-González , Bjarne Pfitzner , Matteo Russo , Javier Carnerero-Cano , Emil C. Lupu

As we seek to deploy machine learning models beyond virtual and controlled domains, it is critical to analyze not only the accuracy or the fact that it works most of the time, but if such a model is truly robust and reliable. This paper…

Machine Learning · Computer Science 2020-07-07 Samuel Henrique Silva , Peyman Najafirad

We propose a new method for linear second-order cone programs. It is based on the sequential quadratic programming framework for nonlinear programming. In contrast to interior point methods, it can capitalize on the warm-start capabilities…

Optimization and Control · Mathematics 2023-08-01 Xinyi Luo , Andreas Waechter

We consider the problem of tracking an adversarial state sequence in a linear dynamical system subject to adversarial disturbances and loss functions, generalizing earlier settings in the literature. To this end, we develop three…

Machine Learning · Computer Science 2022-02-23 Zhiyu Zhang , Ashok Cutkosky , Ioannis Ch. Paschalidis

This paper demonstrates the applicability of the safe model predictive control (SMPC) framework to autonomous driving scenarios, focusing on the design of adaptive cruise control (ACC) and automated lane-change systems. Building on the SMPC…

Systems and Control · Electrical Eng. & Systems 2025-05-12 Francesco Prignoli , Ying Shuai Quan , Mohammad Jeddi , Jonas Sjöberg , Paolo Falcone

In recent years, machine learning algorithms have been applied widely in various fields such as health, transportation, and the autonomous car. With the rapid developments of deep learning techniques, it is critical to take the security…

Machine Learning · Computer Science 2020-10-20 erhat Ozgur Catak , Samed Sivaslioglu , Kevser Sahinbas

Current neural-network-based classifiers are susceptible to adversarial examples. The most empirically successful approach to defending against such adversarial examples is adversarial training, which incorporates a strong self-attack…

Machine Learning · Computer Science 2020-06-08 Bai Li , Shiqi Wang , Suman Jana , Lawrence Carin

Recent studies show deep neural networks (DNNs) are extremely vulnerable to the elaborately designed adversarial examples. Adversarial learning with those adversarial examples has been proved as one of the most effective methods to defend…

Machine Learning · Computer Science 2022-07-05 Yaguan Qian , Yuqi Wang , Bin Wang , Zhaoquan Gu , Yuhan Guo , Wassim Swaileh

Adversarial training has been shown to be one of the most effective approaches to improve the robustness of deep neural networks. It is formalized as a min-max optimization over model weights and adversarial perturbations, where the weights…

Machine Learning · Computer Science 2022-03-14 Gaojie Jin , Xinping Yi , Wei Huang , Sven Schewe , Xiaowei Huang

In combinatorial optimization, ordinal costs can be used to model the quality of elements whenever numerical values are not available. When considering, for example, routing problems for cyclists, the safety of a street can be ranked in…

Optimization and Control · Mathematics 2026-01-07 Kathrin Klamroth , Michael Stiglmayr , Julia Sudhoff Santos

Computational design problems arise in a number of settings, from synthetic biology to computer architectures. In this paper, we aim to solve data-driven model-based optimization (MBO) problems, where the goal is to find a design input that…

Machine Learning · Computer Science 2021-07-15 Brandon Trabucco , Aviral Kumar , Xinyang Geng , Sergey Levine

Machine learning and deep learning in particular has been recently used to successfully address many tasks in the domain of code such as finding and fixing bugs, code completion, decompilation, type inference and many others. However, the…

Machine Learning · Computer Science 2020-08-18 Pavol Bielik , Martin Vechev

Motivated by the expressive power of completely positive programming to encode hard optimization problems, many approximation schemes for the completely positive cone have been proposed and successfully used. Most schemes are based on outer…

Optimization and Control · Mathematics 2019-10-07 João Gouveia , Ting Kei Pong , Mina Saee

Machine learning algorithms are used to construct a mathematical model for a system based on training data. Such a model is capable of making highly accurate predictions without being explicitly programmed to do so. These techniques have a…

Cryptography and Security · Computer Science 2022-02-22 Cato Pauling , Michael Gimson , Muhammed Qaid , Ahmad Kida , Basel Halak

We present an approach for designing correct-by-construction neural networks (and other machine learning models) that are guaranteed to be consistent with a collection of input-output specifications before, during, and after algorithm…

Machine Learning · Computer Science 2020-01-31 Stephen Mell , Olivia Brown , Justin Goodwin , Sung-Hyun Son

We propose a new adversarial training approach for injecting robustness when designing controllers for upcoming cyber-physical power systems. Previous approaches relying deeply on simulations are not able to cope with the rising complexity…

Machine Learning · Statistics 2021-04-19 Loïc Omnes , Antoine Marot , Benjamin Donnot

An approach to resilient planning and control of autonomous vehicles in multi-vehicle traffic scenarios is proposed. The proposed method is based on model predictive control (MPC), where alternative predictions of the surrounding traffic…

Systems and Control · Electrical Eng. & Systems 2022-04-21 Victor Fors , Björn Olofsson , Erik Frisk