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This work introduces a non-intrusive model reduction approach for learning reduced models from partially observed state trajectories of high-dimensional dynamical systems. The proposed approach compensates for the loss of information due to…

Machine Learning · Computer Science 2021-03-29 Wayne Isaac Tan Uy , Benjamin Peherstorfer

Trajectory simplification is a problem encountered in areas like Robot programming by demonstration, CAD/CAM, computer vision, and in GPS-based applications like traffic analysis. This problem entails reduction of the points in a given…

Computer Vision and Pattern Recognition · Computer Science 2016-08-29 Daniel L. Marino , Milos Manic

In the trace reconstruction problem, the goal is to reconstruct an unknown string $x$ of length $n$ from multiple traces obtained by passing $x$ through the deletion channel. In the relaxed problem of $approximate$ trace reconstruction, the…

Probability · Mathematics 2021-07-15 Zachary Chase , Yuval Peres

Iterative trajectory optimization techniques for non-linear dynamical systems are among the most powerful and sample-efficient methods of model-based reinforcement learning and approximate optimal control. By leveraging time-variant local…

Systems and Control · Electrical Eng. & Systems 2019-08-01 Onur Celik , Hany Abdulsamad , Jan Peters

Safe reinforcement learning is a promising path toward applying reinforcement learning algorithms to real-world problems, where suboptimal behaviors may lead to actual negative consequences. In this work, we focus on the setting where…

Machine Learning · Computer Science 2022-02-17 Garrett Thomas , Yuping Luo , Tengyu Ma

A fundamental challenge in learning an unknown dynamical system is to reduce model uncertainty by making measurements while maintaining safety. We formulate a mathematical definition of what it means to safely learn a dynamical system by…

Optimization and Control · Mathematics 2024-06-11 Amir Ali Ahmadi , Abraar Chaudhry , Vikas Sindhwani , Stephen Tu

Recent work on recursive architectures has shown that tiny neural networks can be surprisingly powerful on structured reasoning tasks. The trick is to model reasoning trajectories with a latent dynamical system. We argue that the…

Artificial Intelligence · Computer Science 2026-05-28 Andrew Corbett , Archit Sood , Anna Tzatzopoulou , Sai-Aakash Ramesh , Tim Dodwell

Mathematical methods of step-by-step and combined shifts are proposed for experimental data processing to reconstruct the measuring system impulse response distorted by shift-invariant blur. Proposed methods base on direct non-blind…

Signal Processing · Electrical Eng. & Systems 2019-01-24 Andrey V. Novikov-Borodin

Complying with traffic rules is challenging for automated vehicles, as numerous rules need to be considered simultaneously. If a planned trajectory violates traffic rules, it is common to replan a new trajectory from scratch. We instead…

Robotics · Computer Science 2025-10-09 Yuanfei Lin , Zekun Xing , Xuyuan Han , Matthias Althoff

In autonomous driving, behavior prediction is fundamental for safe motion planning, hence the security and robustness of prediction models against adversarial attacks are of paramount importance. We propose a novel adversarial backdoor…

Computer Vision and Pattern Recognition · Computer Science 2023-11-23 Mozhgan Pourkeshavarz , Mohammad Sabokrou , Amir Rasouli

Inverse problems are concerned with the reconstruction of unknown physical quantities using indirect measurements and are fundamental across diverse fields such as medical imaging, remote sensing, and material sciences. These problems serve…

Numerical Analysis · Mathematics 2025-06-16 Carola-Bibiane Schönlieb , Zakhar Shumaylov

We present a robust data-driven control scheme for an unknown linear system model with bounded process and measurement noise. Instead of depending on a system model in traditional predictive control, a controller utilizing data-driven…

Systems and Control · Electrical Eng. & Systems 2022-07-14 Amr Alanwar , Yvonne Stürz , Karl Henrik Johansson

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

Learning a stable Linear Dynamical System (LDS) from data involves creating models that both minimize reconstruction error and enforce stability of the learned representation. We propose a novel algorithm for learning stable LDSs. Using a…

Machine Learning · Computer Science 2020-11-19 Giorgos Mamakoukas , Orest Xherija , T. D. Murphey

Object shape provides important information for robotic manipulation; for instance, selecting an effective grasp depends on both the global and local shape of the object of interest, while reaching into clutter requires accurate surface…

Robotics · Computer Science 2019-05-13 Kanrun Huang , Tucker Hermans

This paper proposes a new robust data-driven control method for linear systems with bounded disturbances, where the system model and disturbances are unknown. Due to disturbances, accurately determining the true system becomes challenging…

Systems and Control · Electrical Eng. & Systems 2024-05-07 Kaijian Hu , Tao Liu

Designing controllers to generate various trajectories has been studied for years, while recently, recovering an optimal controller from trajectories receives increasing attention. In this paper, we reveal that the inherent linear quadratic…

Systems and Control · Electrical Eng. & Systems 2023-12-29 Chendi Qu , Jianping He , Xiaoming Duan

Robots are increasingly entering uncertain and unstructured environments. Within these, robots are bound to face unexpected external disturbances like accidental human or tool collisions. Robots must develop the capacity to respond to…

Robotics · Computer Science 2018-04-03 Hongmin Wu , Hongbin Lin , Shuangqi Luo , Shuangda Duan , Yisheng Guan , Juan Rojas

The method of two-dimensional control and assurance of data integrity with the possibility of their recovery for information systems operating under conditions of random errors as well as errors generated through deliberate actions of the…

Cryptography and Security · Computer Science 2018-12-04 Sergey Dichenko , Oleg Finko

Ultrasonic guided wave technology has played a significant role in the field of non-destructive testing as it employs acoustic waves that have advantages of high propagation efficiency and low energy consumption during the inspect process.…

Computational Engineering, Finance, and Science · Computer Science 2020-09-15 Qi Li , Yihui Da , Yinghong Zhang , Bin Wang , Dianzi Liu , Zhenghua Qian