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Basis splines enable a time-continuous feasibility check with a finite number of constraints. Constraints apply to the whole trajectory for motion planning applications that require a collision-free and dynamically feasible trajectory.…

Robotics · Computer Science 2023-10-06 Philip Dorpmüller , Thomas Schmitz , Naveen Bejagam , Torsten Bertram

We propose a novel, multi-layered planning approach for computing paths that satisfy both kinodynamic and spatiotemporal constraints. Our three-part framework first establishes potential sequences to meet spatial constraints, using them to…

Robotics · Computer Science 2025-05-23 Jeel Chatrola , Abhiroop Ajith , Kevin Leahy , Constantinos Chamzas

In this paper, we provide a Dynamic Programming algorithm for on-line monitoring of the state robustness of Metric Temporal Logic specifications with past time operators. We compute the robustness of MTL with unbounded past and bounded…

Systems and Control · Computer Science 2014-08-04 Adel Dokhanchi , Bardh Hoxha , Georgios Fainekos

In this paper we introduce trajectory-based labeling, a new variant of dynamic map labeling, where a movement trajectory for the map viewport is given. We define a general labeling model and study the active range maximization problem in…

Computational Geometry · Computer Science 2013-09-17 Andreas Gemsa , Benjamin Niedermann , Martin Nöllenburg

Large Language Models (LLMs) are important tools for reasoning and problem-solving, while they often operate passively, answering questions without actively discovering new ones. This limitation reduces their ability to simulate human-like…

Computational Engineering, Finance, and Science · Computer Science 2025-09-26 Hong Su

Task planning, the problem of sequencing actions to reach a goal from an initial state, is a core capability requirement for autonomous robotic systems. Whether large language models (LLMs) can serve as viable planners alongside classical…

Artificial Intelligence · Computer Science 2026-03-09 Kai Göbel , Pierrick Lorang , Patrik Zips , Tobias Glück

Route recommendation aims to provide users with optimal travel plans that satisfy diverse and complex requirements. Classical routing algorithms (e.g., shortest-path and constraint-aware search) are efficient but assume structured inputs…

Artificial Intelligence · Computer Science 2025-10-08 Tao Zhe , Rui Liu , Fateme Memar , Xiao Luo , Wei Fan , Xinyue Ye , Zhongren Peng , Dongjie Wang

In this paper, we explore the potential application of Large Language Models (LLMs) that will automatically model constraints and generate code for dynamic scheduling problems given an existing static model. Static scheduling problems are…

Computation and Language · Computer Science 2024-05-14 Paul Mingzheng Tang , Kenji Kah Hoe Leong , Nowshad Shaik , Hoong Chuin Lau

Path planning for a robot is one of the major problems in the area of robotics. When a robot is given a task in the form of a Linear Temporal Logic (LTL) specification such that the task needs to be carried out repetitively, we want the…

Robotics · Computer Science 2021-03-05 Priya Purohit , Indranil Saha

Temporal logics are powerful tools that are widely used for the synthesis and verification of reactive systems. The recent progress on Large Language Models (LLMs) has the potential to make the process of writing such specifications more…

Machine Learning · Computer Science 2024-06-12 William Murphy , Nikolaus Holzer , Nathan Koenig , Leyi Cui , Raven Rothkopf , Feitong Qiao , Mark Santolucito

Accurate prediction of human behavior is crucial for AI systems to effectively support real-world applications, such as autonomous robots anticipating and assisting with human tasks. Real-world scenarios frequently present challenges such…

Human-Computer Interaction · Computer Science 2025-07-21 Kojiro Takeyama , Yimeng Liu , Misha Sra

A key challenge in transportation planning is that the collective preferences of heterogeneous travelers often diverge from the policies produced by model-driven decision tools. This misalignment frequently results in implementation delays…

Computers and Society · Computer Science 2025-10-29 Xiaoyu Yan , Tianxing Dai , Yu Marco Nie

Vision-language models (VLMs) have been applied to robot task planning problems, where the robot receives a task in natural language and generates plans based on visual inputs. While current VLMs have demonstrated strong vision-language…

Artificial Intelligence · Computer Science 2024-06-26 Xiaohan Zhang , Zainab Altaweel , Yohei Hayamizu , Yan Ding , Saeid Amiri , Hao Yang , Andy Kaminski , Chad Esselink , Shiqi Zhang

A landmark based heuristic is investigated for reducing query phase run-time of the probabilistic roadmap (\PRM) motion planning method. The heuristic is generated by storing minimum spanning trees from a small number of vertices within the…

Robotics · Computer Science 2017-04-07 Brian Paden , Yannik Nager , Emilio Frazzoli

While large language models (LLMs) have demonstrated remarkable reasoning capabilities, they are not without their flaws and inaccuracies. Recent studies have introduced various methods to mitigate these limitations. Temporal reasoning…

Computation and Language · Computer Science 2024-10-10 Siheng Xiong , Ali Payani , Ramana Kompella , Faramarz Fekri

Signal temporal logic (STL) provides a powerful, flexible framework for specifying complex autonomy tasks; however, existing methods for planning based on STL specifications have difficulty scaling to long-horizon tasks and are not robust…

Robotics · Computer Science 2022-03-07 Charles Dawson , Chuchu Fan

Spatiotemporal reasoning plays a key role in Cyber-Physical Systems (CPS). Despite advances in Large Language Models (LLMs) and Large Reasoning Models (LRMs), their capacity to reason about complex spatiotemporal signals remains…

Artificial Intelligence · Computer Science 2026-01-13 Pengrui Quan , Brian Wang , Kang Yang , Liying Han , Mani Srivastava

Enhancing the temporal understanding of Multimodal Large Language Models (MLLMs) is essential for advancing long-form video analysis, enabling tasks such as temporal localization, action detection, and time-sensitive question answering.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Tao Wu , Li Yang , Gen Zhan , Yabin Zhang , Yiting Liao , Junlin Li , Deliang Fu , Li Zhang , Limin Wang

Trajectory planning is a critical process that enables autonomous systems to safely navigate complex environments. Signal temporal logic (STL) specifications are an effective way to encode complex temporally extended objectives for…

Systems and Control · Electrical Eng. & Systems 2024-03-20 Parv Kapoor , Eunsuk Kang , Romulo Meira-Goes

This paper addresses a motion planning problem to achieve spatio-temporal-logical tasks, expressed by syntactically co-safe linear temporal logic specifications (scLTL\next), in uncertain environments. Here, the uncertainty is modeled as…

Robotics · Computer Science 2025-11-06 Azizollah Taheri , Derya Aksaray