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This paper introduces LeTO, a method for learning constrained visuomotor policy with differentiable trajectory optimization. Our approach integrates a differentiable optimization layer into the neural network. By formulating the…

Robotics · Computer Science 2024-10-25 Zhengtong Xu , Yu She

This work presents a convex optimization framework for the planning and tracking of quadcopter trajectories with continuous-time safety guarantees. Using B-spline basis functions and the differential flatness property of quadcopters, a…

Optimization and Control · Mathematics 2026-04-28 Victor Freire , Xiangru Xu

We consider planning problems, that often arise in autonomous driving applications, in which an agent should decide on immediate actions so as to optimize a long term objective. For example, when a car tries to merge in a roundabout it…

Machine Learning · Computer Science 2016-02-05 Shai Shalev-Shwartz , Nir Ben-Zrihem , Aviad Cohen , Amnon Shashua

Trajectory optimization is a cornerstone of modern robot autonomy, enabling systems to compute trajectories and controls in real-time while respecting safety and physical constraints. However, it has seen limited usage in spaceflight…

Robotics · Computer Science 2025-11-06 Somrita Banerjee , Abhishek Cauligi , Marco Pavone

Fractional gradient descent has been studied extensively, with a focus on its ability to extend traditional gradient descent methods by incorporating fractional-order derivatives. This approach allows for more flexibility in navigating…

Machine Learning · Computer Science 2024-11-25 Teodor Alexandru Szente , James Harrison , Mihai Zanfir , Cristian Sminchisescu

This paper presents a new method for pre-training neural networks that can decrease the total training time for a neural network while maintaining the final performance, which motivates its use on deep neural networks. By partitioning the…

Neural and Evolutionary Computing · Computer Science 2016-01-05 Conrado S. Miranda , Fernando J. Von Zuben

Legged locomotion is a complex control problem that requires both accuracy and robustness to cope with real-world challenges. Legged systems have traditionally been controlled using trajectory optimization with inverse dynamics. Such…

Robotics · Computer Science 2024-01-23 Fabian Jenelten , Junzhe He , Farbod Farshidian , Marco Hutter

Continuous trajectory tracking control of quadrotors is complicated when considering noise from the environment. Due to the difficulty in modeling the environmental dynamics, tracking methodologies based on conventional control theory, such…

Robotics · Computer Science 2023-02-14 Boyuan Deng , Jian Sun , Zhuo Li , Gang Wang

In this paper, we investigate the use of deep learning for solving a classical NP-Hard single machine scheduling problem where the criterion is to minimize the total tardiness. Instead of designing an end-to-end machine learning model, we…

Artificial Intelligence · Computer Science 2020-05-13 Michal Bouška , Antonín Novák , Přemysl Šůcha , István Módos , Zdeněk Hanzálek

For NP-hard combinatorial optimization problems, it is usually difficult to find high-quality solutions in polynomial time. The design of either an exact algorithm or an approximate algorithm for these problems often requires significantly…

Machine Learning · Computer Science 2021-05-07 Kun Lei , Peng Guo , Yi Wang , Xiao Wu , Wenchao Zhao

Convex quadratic programs (QPs) are fundamental to numerous applications, including finance, engineering, and energy systems. Among the various methods for solving them, the Douglas-Rachford (DR) splitting algorithm is notable for its…

Optimization and Control · Mathematics 2025-08-19 Jinxin Xiong , Xi Gao , Linxin Yang , Jiang Xue , Xiaodong Luo , Akang Wang

Learning to solve combinatorial optimization problems, such as the vehicle routing problem, offers great computational advantages over classical operations research solvers and heuristics. The recently developed deep reinforcement learning…

Machine Learning · Computer Science 2022-01-06 Daniela Thyssens , Jonas Falkner , Lars Schmidt-Thieme

Agile flights of autonomous quadrotors in cluttered environments require constrained motion planning and control subject to translational and rotational dynamics. Traditional model-based methods typically demand complicated design and heavy…

Robotics · Computer Science 2022-09-23 Yixiao Wang , Bingheng Wang , Shenning Zhang , Han Wei Sia , Lin Zhao

This paper investigates the problem of impact-time-control and proposes a learning-based computational guidance algorithm to solve this problem. The proposed guidance algorithm is developed based on a general prediction-correction concept:…

Machine Learning · Computer Science 2021-05-31 Zichao Liu , Jiang Wang , Shaoming He , Hyo-Sang Shin , Antonios Tsourdos

Creating impact in real-world settings requires artificial intelligence techniques to span the full pipeline from data, to predictive models, to decisions. These components are typically approached separately: a machine learning model is…

Machine Learning · Computer Science 2018-11-22 Bryan Wilder , Bistra Dilkina , Milind Tambe

Training deep neural networks is a highly nontrivial task, involving carefully selecting appropriate training algorithms, scheduling step sizes and tuning other hyperparameters. Trying different combinations can be quite labor-intensive and…

Machine Learning · Computer Science 2017-06-13 Kaifeng Lv , Shunhua Jiang , Jian Li

Trajectory optimization (TO) is an efficient tool to generate a redundant manipulator's joint trajectory following a 6-dimensional Cartesian path. The optimization performance largely depends on the quality of initial trajectories. However,…

Robotics · Computer Science 2026-02-10 Minsung Yoon , Mincheul Kang , Daehyung Park , Sung-Eui Yoon

In this paper, a class of optimization problems with nonlinear inequality constraints is discussed. Based on the ideas of sequential quadratic programming algorithm and the method of strongly sub-feasible directions, a new superlinearly…

Optimization and Control · Mathematics 2012-06-28 Jin-Bao Jian , Chuan-Hao Guo , Chun-Ming Tang , Yan-Qin Bai

In this paper, we propose a novel trajectory optimization algorithm for mobile manipulators under end-effector path, collision avoidance and various kinematic constraints. Our key contribution lies in showing how this highly non-linear and…

Robotics · Computer Science 2019-04-23 Arun Kumar Singh , Andrei Ahonen , Reza Ghabcheloo , Andreas Muller

Order Picker Routing is a critical issue in Warehouse Operations Management. Due to the complexity of the problem and the need for quick solutions, suboptimal algorithms are frequently employed in practice. However, Reinforcement Learning…

Machine Learning · Computer Science 2024-02-07 George Dunn , Hadi Charkhgard , Ali Eshragh , Sasan Mahmoudinazlou , Elizabeth Stojanovski