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We propose a quantum expected value theory for decision-making under uncertainty. Quantum density operator as value operator is proposed to simulate people's subjective beliefs. Value operator guides people to choose corresponding actions…

Physics and Society · Physics 2023-03-22 Lizhi Xin , Houwen Xin

We propose and axiomatize a new model of incomplete preferences under uncertainty, which we call \textit{hope-and-prepare preferences}. An act is considered more desirable than an other act when, and only when, both an optimistic…

Theoretical Economics · Economics 2025-07-29 Pierre Bardier , Bach Dong-Xuan , Van-Quy Nguyen

As artificial agents become increasingly capable, what internal structure is *necessary* for an agent to act competently under uncertainty? Classical results show that optimal control can be *implemented* using belief states or world…

Machine Learning · Computer Science 2026-04-03 Aran Nayebi

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

We present the Goal Uncertain Stochastic Shortest Path (GUSSP) problem -- a general framework to model path planning and decision making in stochastic environments with goal uncertainty. The framework extends the stochastic shortest path…

Artificial Intelligence · Computer Science 2020-04-07 Sandhya Saisubramanian , Kyle Hollins Wray , Luis Pineda , Shlomo Zilberstein

Taking uncertainty into account is crucial when making strategic decisions. To guard against the risk of adverse scenarios, traditional optimisation techniques incorporate uncertainty on the basis of prior knowledge on its distribution. In…

Optimization and Control · Mathematics 2022-12-06 Julien Vaes , Vassilis M. Charitopoulos

Accurately modeling and verifying the correct operation of systems interacting in dynamic environments is challenging. By leveraging parametric uncertainty within the model description, one can relax the requirement to describe exactly the…

Optimization and Control · Mathematics 2016-04-05 Patrick Holmes , Shreyas Kousik , Shankar Mohan , Ram Vasudevan

Methods for learning optimal policies in autonomous agents often assume that the way the domain is conceptualised---its possible states and actions and their causal structure---is known in advance and does not change during learning. This…

Artificial Intelligence · Computer Science 2018-01-11 Craig Innes , Alex Lascarides , Stefano V Albrecht , Subramanian Ramamoorthy , Benjamin Rosman

Policy steering is an emerging way to adapt robot behaviors at deployment-time: a learned verifier analyzes low-level action samples proposed by a pre-trained policy (e.g., diffusion policy) and selects only those aligned with the task.…

Robotics · Computer Science 2026-05-14 Jessie Yuan , Yilin Wu , Andrea Bajcsy

Replanning in temporal logic tasks is extremely difficult during the online execution of robots. This study introduces an effective path planner that computes solutions for temporal logic goals and instantly adapts to non-static and…

Robotics · Computer Science 2023-02-23 Yizhou Chen , Ruoyu Wang , Xinyi Wang , Ben M. Chen

Robust optimization has been established as a leading methodology to approach decision problems under uncertainty. To derive a robust optimization model, a central ingredient is to identify a suitable model for uncertainty, which is called…

Optimization and Control · Mathematics 2021-09-10 Marc Goerigk , Jannis Kurtz

This paper focuses on developing new navigation and reconnaissance capabilities for cooperative unmanned systems in uncertain environments. The goal is to design a cooperative multi-vehicle system that can survey an unknown environment and…

Systems and Control · Computer Science 2017-03-16 Johnathan Votion , Yongcan Cao

Tanker water systems play critical role in providing adequate service to meet potable water demands in the face of acute water crisis in many cities globally. Managing tanker movements among the supply and demand sides requires an efficient…

Optimization and Control · Mathematics 2024-08-02 Abhilasha Maheshwari , Shamik Misra , Ravindra Gudi , Senthilmurugan Subbiah , Chrysi Laspidou

This work studies the planning problem for robotic systems under both quantifiable and unquantifiable uncertainty. The objective is to enable the robotic systems to optimally fulfill high-level tasks specified by Linear Temporal Logic (LTL)…

Robotics · Computer Science 2025-02-28 Pian Yu , Yong Li , David Parker , Marta Kwiatkowska

Object rearrangement in a multi-room setup should produce a reasonable plan that reduces the agent's overall travel and the number of steps. Recent state-of-the-art methods fail to produce such plans because they rely on explicit…

Robotics · Computer Science 2024-06-04 Karan Mirakhor , Sourav Ghosh , Dipanjan Das , Brojeshwar Bhowmick

In order to enable Micro-Aerial Vehicles (MAVs) to assist in complex, unknown, unstructured environments, they must be able to navigate with guaranteed safety, even when faced with a cluttered environment they have no prior knowledge of.…

Robotics · Computer Science 2018-03-13 Helen Oleynikova , Zachary Taylor , Roland Siegwart , Juan Nieto

We use an algebraic viewpoint, namely a matrix framework to deal with the problem of resource allocation under uncertainty in the context of a qualitative approach. Our basic qualitative data are a plausibility relation over the resources,…

Artificial Intelligence · Computer Science 2018-05-18 Franklin Camacho , Gerardo Chacón , Ramón Pino Peréz

We live in a world brimming with uncertainty, where we constantly have to make a lot of decisions under incomplete information. We are firm believers that our subjective belief cannot be computed by rigorous mathematical formula; instead…

Physics and Society · Physics 2023-02-08 Lizhi Xin , Kevin Xin , Houwen Xin

We present a planner for large-scale (un)labeled object sorting tasks, which uses two types of manipulation actions: overhead grasping and planar pushing. The grasping action offers completeness guarantee under mild assumptions, and planar…

Robotics · Computer Science 2020-10-21 Zherong Pan , Kris Hauser

We study how to utilize (possibly machine-learned) predictions in a model for computing under uncertainty in which an algorithm can query unknown data. The goal is to minimize the number of queries needed to solve the problem. We consider…

Data Structures and Algorithms · Computer Science 2021-11-09 Thomas Erlebach , Murilo S. de Lima , Nicole Megow , Jens Schlöter
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