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Moment optimization techniques have been recently proposed to solve globally various classes of optimal control problems. As those methods return truncated moment sequences of occupation measures, this paper explores a numeric method for…

Optimization and Control · Mathematics 2014-04-17 Mathieu Claeys

Estimating the altimeters a cyclist has climbed from noisy GPS data is a challenging problem. In this article a method is proposed that assumes that a person locally takes the shortest path. This results in an algorithm that does not need…

Data Analysis, Statistics and Probability · Physics 2019-08-20 Fetze Pijlman

Map matching of the GPS trajectory serves the purpose of recovering the original route on a road network from a sequence of noisy GPS observations. It is a fundamental technique to many Location Based Services. However, map matching of a…

Machine Learning · Statistics 2014-09-03 Jian Yang , Liqiu Meng

Unlike 2D raster images, there is no single dominant representation for 3D visual data processing. Different formats like point clouds, meshes, or implicit functions each have their strengths and weaknesses. Still, grid representations such…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Mikhail Usvyatsov , Rafael Ballester-Rippoll , Lina Bashaeva , Konrad Schindler , Gonzalo Ferrer , Ivan Oseledets

The last two decades have seen tremendous growth in data collections because of the realization of recent technologies, including the internet of things (IoT), E-Health, industrial IoT 4.0, autonomous vehicles, etc. The challenge of data…

Information Theory · Computer Science 2022-10-03 Vidhi Agrawal , Gajraj Kuldeep , Dhananjoy Dey

Compressed sensing (CS) exploits the sparsity of a signal in order to integrate acquisition and compression. CS theory enables exact reconstruction of a sparse signal from relatively few linear measurements via a suitable nonlinear…

Information Theory · Computer Science 2014-09-04 Shmuel Friedland , Qun Li , Dan Schonfeld , Edgar A. Bernal

Many information systems employ lossy compression as a crucial intermediate stage among other processing components. While the important distortion is defined by the system's input and output signals, the compression usually ignores the…

Information Theory · Computer Science 2018-05-14 Yehuda Dar , Michael Elad , Alfred M. Bruckstein

Suppose there is a large file which should be transmitted (or stored) and there are several (say, m) admissible data-compressors. It seems natural to try all the compressors and then choose the best, i.e. the one that gives the shortest…

Information Theory · Computer Science 2018-09-11 Boris Ryabko

End-effector trajectory tracking algorithms find joint motions that drive robot manipulators to track reference trajectories. In practical scenarios, anytime algorithms are preferred for their ability to quickly generate initial motions and…

Robotics · Computer Science 2025-02-07 Yeping Wang , Michael Gleicher

When sensors collect spatio-temporal data in a large geographical area, the existence of missing data cannot be escaped. Missing data negatively impacts the performance of data analysis and machine learning algorithms. In this paper, we…

Machine Learning · Computer Science 2019-04-30 Reza Asadi , Amelia Regan

Many real-world datasets are represented as tensors, i.e., multi-dimensional arrays of numerical values. Storing them without compression often requires substantial space, which grows exponentially with the order. While many tensor…

Machine Learning · Computer Science 2023-09-21 Taehyung Kwon , Jihoon Ko , Jinhong Jung , Kijung Shin

We present a fully interpretable and flexible statistical method for background subtraction in roadside LiDAR data, aimed at enhancing infrastructure-based perception in automated driving. Our approach introduces both a Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2026-02-18 Aitor Iglesias , Nerea Aranjuelo , Patricia Javierre , Ainhoa Menendez , Ignacio Arganda-Carreras , Marcos Nieto

Location-Based Services (LBSs) offer significant convenience to mobile users but pose significant privacy risks, as attackers can infer sensitive personal information through spatiotemporal correlations in user trajectories. Since users'…

Cryptography and Security · Computer Science 2025-11-27 Minghui Min , Jiahui Liu , Mingge Cao , Shiyin Li , Hongliang Zhang , Miao Pan , Zhu Han

Compressing the output of \epsilon-locally differentially private (LDP) randomizers naively leads to suboptimal utility. In this work, we demonstrate the benefits of using schemes that jointly compress and privatize the data using shared…

Cryptography and Security · Computer Science 2022-03-01 Abhin Shah , Wei-Ning Chen , Johannes Balle , Peter Kairouz , Lucas Theis

Aiming at the problem of low accuracy of flight trajectory prediction caused by the high speed of fighters, the diversity of tactical maneuvers, and the transient nature of situational change in close range air combat, this paper proposes…

Machine Learning · Computer Science 2024-05-01 Qinzhi Hao , Jiali Zhang , Tengyu Jing , Wei Wang

Error-bounded lossy compression is becoming an indispensable technique for the success of today's scientific projects with vast volumes of data produced during simulations or instrument data acquisitions. Not only can it significantly…

Machine Learning · Computer Science 2023-10-24 Jinyang Liu , Sheng Di , Kai Zhao , Sian Jin , Dingwen Tao , Xin Liang , Zizhong Chen , Franck Cappello

Despite their abundance in robotics and nature, underactuated systems remain a challenge for control engineering. Trajectory optimization provides a generally applicable solution, however its efficiency strongly depends on the skill of the…

Robotics · Computer Science 2020-03-04 Christian Eilers , Jonas Eschmann , Robin Menzenbach , Boris Belousov , Fabio Muratore , Jan Peters

Real-time constraint satisfaction for robots can be quite challenging due to the high computational complexity that arises when accounting for the system dynamics and environmental interactions, often requiring simplification in modelling…

Robotics · Computer Science 2021-05-24 Pravin Dangol , Alireza Ramezani

Pedestrian trajectory prediction is an essential and challenging task for a variety of real-life applications such as autonomous driving and robotic motion planning. Besides generating a single future path, predicting multiple plausible…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Lihuan Li , Maurice Pagnucco , Yang Song

Traditional image and video compression algorithms rely on hand-crafted encoder/decoder pairs (codecs) that lack adaptability and are agnostic to the data being compressed. Here we describe the concept of generative compression, the…

Computer Vision and Pattern Recognition · Computer Science 2017-06-06 Shibani Santurkar , David Budden , Nir Shavit