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Robust controllers that stabilize dynamical systems even under disturbances and noise are often formulated as solutions of nonsmooth, nonconvex optimization problems. While methods such as gradient sampling can handle the nonconvexity and…

Optimization and Control · Mathematics 2023-05-01 Steffen W. R. Werner , Michael L. Overton , Benjamin Peherstorfer

Over the last decade, the long-running endeavour to automate high-level processes in machine learning (ML) has risen to mainstream prominence, stimulated by advances in optimisation techniques and their impact on selecting ML…

Machine Learning · Computer Science 2022-03-30 David Jacob Kedziora , Katarzyna Musial , Bogdan Gabrys

Gradient-based methods are widely used to solve various optimization problems, however, they are either constrained by local optima dilemmas, simple convex constraints, and continuous differentiability requirements, or limited to…

Machine Learning · Computer Science 2026-03-19 Ming Li

We expose in a tutorial fashion the mechanisms which underlie the synthesis of optimization algorithms based on dynamic integral quadratic constraints. We reveal how these tools from robust control allow to design accelerated gradient…

Optimization and Control · Mathematics 2023-09-18 Carsten W. Scherer , Christian Ebenbauer , Tobias Holicki

Object detection and segmentation are two core modules of an autonomous vehicle perception system. They should have high efficiency and low latency while reducing computational complexity. Currently, the most commonly used algorithms are…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Maciej Baczmanski , Robert Synoczek , Mateusz Wasala , Tomasz Kryjak

The optimization of physical parameters serves various purposes, such as system identification and efficiency in developing devices. Spin-torque oscillators have been applied to neuromorphic computing experimentally and theoretically, but…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Yusuke Imai , Shuhong Liu , Nozomi Akashi , Kohei Nakajima

The rapid progress in machine learning in recent years has been based on a highly productive connection to gradient-based optimization. Further progress hinges in part on a shift in focus from pattern recognition to decision-making and…

Machine Learning · Computer Science 2024-02-27 Neha S. Wadia , Yatin Dandi , Michael I. Jordan

The paper addresses the problem of providing suitable reference trajectories in motion planning problems for autonomous vehicles. Among the various approaches to compute a reference trajectory, our aim is to find those trajectories which…

Optimization and Control · Mathematics 2018-01-24 Matthias Gerdts , Björn Martens

With the recent development of autonomous vehicle technology, there have been active efforts on the deployment of this technology at different scales that include urban and highway driving. While many of the prototypes showcased have been…

Robotics · Computer Science 2020-09-14 David Paz , Po-jung Lai , Nathan Chan , Yuqing Jiang , Henrik I. Christensen

Interest in semi-autonomous systems (SAS) is growing rapidly as a paradigm to deploy autonomous systems in domains that require occasional reliance on humans. This paradigm allows service robots or autonomous vehicles to operate at varying…

Artificial Intelligence · Computer Science 2020-03-18 Connor Basich , Justin Svegliato , Kyle Hollins Wray , Stefan Witwicki , Joydeep Biswas , Shlomo Zilberstein

Contemporary artificial intelligence systems are pivotal in enhancing human efficiency and safety across various domains. One such domain is autonomous systems, especially in automotive and defense use cases. Artificial intelligence brings…

Artificial Intelligence · Computer Science 2024-07-23 Jason M. Pittman

In recent years, the number and importance of autonomous racing leagues, and consequently the number of studies on them, has been growing. The seamless integration between different series has gained attention due to the scene's diversity.…

Robotics · Computer Science 2024-08-28 Zalán Demeter , Péter Bogdán , Ármin Bogár-Németh , Gergely Bári

This paper introduces a local planner that synergizes the decision making and trajectory planning modules towards autonomous driving. The decision making and trajectory planning tasks are jointly formulated as a nonlinear programming…

Robotics · Computer Science 2024-12-02 Wenru Liu , Haichao Liu , Lei Zheng , Zhenmin Huang , Jun Ma

In this paper we propose a hierarchical controller for autonomous racing where the same vehicle model is used in a two level optimization framework for motion planning. The high-level controller computes a trajectory that minimizes the lap…

Robotics · Computer Science 2020-03-12 José L. Vázquez , Marius Brühlmeier , Alexander Liniger , Alisa Rupenyan , John Lygeros

In this paper we consider a recently developed distributed optimization algorithm based on gradient tracking. We propose a system theory framework to analyze its structural properties on a preliminary, quadratic optimization set-up.…

Systems and Control · Electrical Eng. & Systems 2020-06-03 Michelangelo Bin , Ivano Notarnicola , Lorenzo Marconi , Giuseppe Notarstefano

Driverless vehicles are complex systems operating in constantly changing environments. Automated driving is achieved by controlling the coupled longitudinal and lateral vehicle dynamics. Model predictive control is one of the most promising…

Optimization and Control · Mathematics 2025-09-25 Yassine Kebbati , Naima Ait-Oufroukh , Vicenç Puig , Vincent Vigneron , Dalil Ichalal

Distributed optimization consists of multiple computation nodes working together to minimize a common objective function through local computation iterations and network-constrained communication steps. In the context of robotics,…

Robotics · Computer Science 2021-03-25 Trevor Halsted , Ola Shorinwa , Javier Yu , Mac Schwager

There is a growing need for computational tools to automatically design and verify autonomous systems, especially complex robotic systems involving perception, planning, control, and hardware in the autonomy stack. Differentiable…

Robotics · Computer Science 2022-04-26 Charles Dawson , Chuchu Fan

Planning collision-free paths for multi-robot systems (MRS) is a challenging problem because of the safety and efficiency constraints required for real-world solutions. Even though coupled path planning approaches provide optimal…

Robotics · Computer Science 2021-01-07 Aditya Rathi , Rohith G , Madhu Vadali

With the advancement of autonomous and assisted driving technologies, higher demands are placed on the ability to understand complex driving scenarios. Multimodal general large models have emerged as a solution for this challenge. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Wang Mengjie , Zhu Huiping , Li Jian , Shi Wenxiu , Zhang Song
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