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Nonlinear dynamical systems are complex and typically only simple systems can be analytically studied. In applications, these systems are usually defined with a set of tunable parameters and as the parameters are varied the system response…

Dynamical Systems · Mathematics 2025-05-05 Max M. Chumley , Firas A. Khasawneh

Creating accurate spatial representations that take into account uncertainty is critical for autonomous robots to safely navigate in unstructured environments. Although recent LIDAR based mapping techniques can produce robust occupancy…

Computer Vision and Pattern Recognition · Computer Science 2020-07-02 Anthony Tompkins , Ransalu Senanayake , Fabio Ramos

We propose a novel learning-based approach for robust 3D shape matching. Our method builds upon deep functional maps and can be trained in a fully unsupervised manner. Previous deep functional map methods mainly focus on predicting…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Dongliang Cao , Paul Roetzer , Florian Bernard

We describe a task and motion planning architecture for highly dynamic systems that combines a domain-independent sampling-based deliberative planning algorithm with a global reactive planner. We leverage the recent development of a…

A procedure to characterize chaotic dynamical systems with concepts of complex networks is pursued, in which a dynamical system is mapped onto a network. The nodes represent the regions of space visited by the system, while edges represent…

Statistical Mechanics · Physics 2011-12-20 Ernesto P. Borges , Daniel O. Cajueiro , Roberto F. S. Andrade

This study introduces a novel approach to autonomous motion planning, informing an analytical algorithm with a reinforcement learning (RL) agent within a Frenet coordinate system. The combination directly addresses the challenges of…

Robotics · Computer Science 2024-07-31 Rainer Trauth , Alexander Hobmeier , Johannes Betz

In this paper, we propose a novel approach for agent motion prediction in cluttered environments. One of the main challenges in predicting agent motion is accounting for location and context-specific information. Our main contribution is…

Robotics · Computer Science 2020-07-08 Igor Gilitschenski , Guy Rosman , Arjun Gupta , Sertac Karaman , Daniela Rus

Simultaneous localization and mapping (SLAM) with implicit neural representations has received extensive attention due to the expressive representation power and the innovative paradigm of continual learning. However, deploying such a…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Baicheng Li , Zike Yan , Dong Wu , Hanqing Jiang , Hongbin Zha

Several embedded application domains for reconfigurable systems tend to combine frequent changes with high performance demands of their workloads such as image processing, wearable computing and network processors. Time multiplexing of…

Other Computer Science · Computer Science 2016-11-17 A. Al-Wattar , S. Areibi , G. Grewal

Reconstructing network dynamics from data is crucial for predicting the changes in the dynamics of complex systems such as neuron networks; however, previous research has shown that the reconstruction is possible under strong constraints…

Dynamical Systems · Mathematics 2023-04-07 Irem Topal , Deniz Eroglu

The approximation of nonlinear kernels via linear feature maps has recently gained interest due to their applications in reducing the training and testing time of kernel-based learning algorithms. Current random projection methods avoid the…

Computer Vision and Pattern Recognition · Computer Science 2016-02-05 A. G. Chung , M. J. Shafiee , A. Wong

Kernel approximation using randomized feature maps has recently gained a lot of interest. In this work, we identify that previous approaches for polynomial kernel approximation create maps that are rank deficient, and therefore do not…

Machine Learning · Statistics 2013-12-18 Raffay Hamid , Ying Xiao , Alex Gittens , Dennis DeCoste

A machine learning technique is proposed for quantifying uncertainty in power system dynamics with spatiotemporally correlated stochastic forcing. We learn one-dimensional linear partial differential equations for the probability density…

Machine Learning · Computer Science 2023-12-19 Tyler E. Maltba , Vishwas Rao , Daniel Adrian Maldonado

A basic issue in optimization, inverse theory,neural networks, computational chemistry and many other problems is the geometrical characterization of high dimensional functions. In inverse calculations one aims to characterize the set of…

Numerical Analysis · Computer Science 2014-05-14 H. Lydia Deng , John A. Scales

Forecasting the behavior of high-dimensional dynamical systems using machine learning requires efficient methods to learn the underlying physical model. We demonstrate spatiotemporal chaos prediction using a machine learning architecture…

Machine Learning · Computer Science 2022-09-27 Wendson A. S. Barbosa , Daniel J. Gauthier

Reinforcement learning has received high research interest for developing planning approaches in automated driving. Most prior works consider the end-to-end planning task that yields direct control commands and rarely deploy their algorithm…

Robotics · Computer Science 2023-07-31 Marvin Klimke , Benjamin Völz , Michael Buchholz

We introduce a method for real-time navigation and tracking with differentiably rendered world models. Learning models for control has led to impressive results in robotics and computer games, but this success has yet to be extended to…

Machine Learning · Computer Science 2022-01-26 Baris Kayalibay , Atanas Mirchev , Patrick van der Smagt , Justin Bayer

Graph neural networks are often used to model interacting dynamical systems since they gracefully scale to systems with a varying and high number of agents. While there has been much progress made for deterministic interacting systems,…

Machine Learning · Computer Science 2023-05-04 Andreas Look , Melih Kandemir , Barbara Rakitsch , Jan Peters

Semantic 2D maps are commonly used by humans and machines for navigation purposes, whether it's walking or driving. However, these maps have limitations: they lack detail, often contain inaccuracies, and are difficult to create and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-02 Paul-Edouard Sarlin , Eduard Trulls , Marc Pollefeys , Jan Hosang , Simon Lynen

We build upon recent work on using Machine Learning models to estimate Hamiltonian parameters using continuous weak measurement of qubits as input. We consider two settings for the training of our model: (1) supervised learning where the…

Quantum Physics · Physics 2025-02-17 Kris Tucker , Amit Kiran Rege , Conor Smith , Claire Monteleoni , Tameem Albash
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