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The trajectory patterns of a moving object in a spatio-temporal domain offers varied information in terms of the management of the data generated from the movement. A trajectory data warehouse is a data repository for the data and…

Databases · Computer Science 2019-04-16 Michael Mireku Kwakye

The aim of this note is to construct a probability measure on the space of trajectories in a continuous time Markov chain having a finite state diagram, or more generally which admits a global bound on its degree and rates. Our approach is…

Probability · Mathematics 2021-05-25 Michael J. Catanzaro , Vladimir Y. Chernyak , John R. Klein

Sampling-based motion planning has emerged as a powerful approach for robotics, enabling exploration of complex, high-dimensional configuration spaces. When combined with Signal Temporal Logic (STL), a temporal logic widely used for…

Robotics · Computer Science 2026-02-20 Ahmad Ahmad , Shuo Liu , Roberto Tron , Calin Belta

We propose novel neural temporal models for predicting and synthesizing human motion, achieving state-of-the-art in modeling long-term motion trajectories while being competitive with prior work in short-term prediction and requiring…

Computer Vision and Pattern Recognition · Computer Science 2019-11-25 Anand Gopalakrishnan , Ankur Mali , Dan Kifer , C. Lee Giles , Alexander G. Ororbia

Determining the position and orientation of a sensor vis-a-vis its surrounding, while simultaneously mapping the environment around that sensor or simultaneous localization and mapping is quickly becoming an important advancement in…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Joonas Lomps , Artjom Lind , Amnir Hadachi

Large unweighted directed graphs are commonly used to capture relations between entities. A fundamental problem in the analysis of such networks is to properly define the similarity or dissimilarity between any two vertices. Despite the…

Machine Learning · Statistics 2015-11-03 Tatsunori B. Hashimoto , Yi Sun , Tommi S. Jaakkola

Trawl processes are continuous-time, stationary and infinitely divisible processes which can describe a wide range of possible serial correlation patterns in data. In this paper, we introduce new simulation algorithms for trawl processes…

Methodology · Statistics 2022-08-19 Dan Leonte , Almut E. D. Veraart

We study feedback motion planning for continuous-time stochastic nonlinear systems under signal temporal logic (STL) specifications. We propose a framework that synthesizes control policies for chance-constrained STL trajectory optimization…

Robotics · Computer Science 2026-05-05 Liqian Ma , Zishun Liu , Glen Chou , Yongxin Chen

Building a general model capable of analyzing human trajectories across different geographic regions and different tasks becomes an emergent yet important problem for various applications. However, existing works suffer from the…

Multimedia · Computer Science 2025-09-03 Shuo Liu , Di Yao , Yan Lin , Gao Cong , Jingping Bi

Simultaneous localization and mapping (SLAM) is the task of building a map representation of an unknown environment while at the same time using it for positioning. A probabilistic interpretation of the SLAM task allows for incorporating…

Robotics · Computer Science 2024-09-04 Manon Kok , Arno Solin , Thomas B. Schön

Active Simultaneous Localization and Mapping (SLAM) is the problem of planning and controlling the motion of a robot to build the most accurate and complete model of the surrounding environment. Since the first foundational work in active…

Evaluating factual correctness of LLM generated natural language explanations grounded in time series data remains an open challenge. Although modern models generate textual interpretations of numerical signals, existing evaluation methods…

Artificial Intelligence · Computer Science 2026-04-03 Preetham Sivalingam , Murari Mandal , Saurabh Deshpande , Dhruv Kumar

Traversability assessment of deformable terrain is vital for safe rover navigation on planetary surfaces. Machine learning (ML) is a powerful tool for traversability prediction but faces predictive uncertainty. This uncertainty leads to…

Robotics · Computer Science 2024-09-04 Masafumi Endo , Tatsunori Taniai , Genya Ishigami

We consider integer-valued random walks with independent but not identically distributed increments, and extend to this context several classical estimates, including a local limit theorem, precise small-ball estimates (both conditional on…

Probability · Mathematics 2025-11-13 Sébastien Ott , Yvan Velenik

Aircraft models may be considered as flat if one neglects some terms associated to aerodynamics. Computational experiments in Maple show that in some cases a suitably designed feed-back allows to follow such trajectories, when applied to…

Symbolic Computation · Computer Science 2022-07-14 François Ollivier

Simultaneous localisation and mapping (SLAM) is the problem of autonomous robots to construct or update a map of an undetermined unstructured environment while simultaneously estimate the pose in it. The current trend towards self-driving…

Robotics · Computer Science 2023-02-14 B. Udugama

Analytical approach to SLAM problem was introduced in the recent years. In our work we investigate the method numerically with the motivation of using the algorithm in a real hardware experiments. We perform a robustness test of the…

Robotics · Computer Science 2019-11-19 Jozef Bucko , Yulia Sandamirskaya , Jean-Jacques Slotine

It is commonly assumed that a specific testing occasion (task, design, procedure, etc.) provides insights that generalise beyond that occasion. This assumption is infrequently carefully tested in data. We develop a statistically principled…

Applications · Statistics 2020-03-27 Laura Wall , David Gunawan , Scott D. Brown , Minh-Ngoc Tran , Robert Kohn , Guy E. Hawkins

The SLAM problem is known to have a special property that when robot orientation is known, estimating the history of robot poses and feature locations can be posed as a standard linear least squares problem. In this work, we develop a SLAM…

Robotics · Computer Science 2016-09-20 Saurav Agarwal , Vikram Shree , Suman Chakravorty

Spatiotemporal pairwise movement analysis involves identifying shared geographic-based behaviors between individuals within specific time frames. Traditionally, this task relies on sequence modeling and behavior analysis techniques applied…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Maria Cardei , Sabit Ahmed , Gretchen Chapman , Afsaneh Doryab