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We report a globally-optimal approach to robotic path planning under uncertainty, based on the theory of quantitative measures of formal languages. A significant generalization to the language-measure-theoretic path planning algorithm…

Robotics · Computer Science 2010-08-24 Ishanu Chattopadhyay , Anthony Cascone , Asok Ray

Collision prediction in a dynamic and unknown environment relies on knowledge of how the environment is changing. Many collision prediction methods rely on deterministic knowledge of how obstacles are moving in the environment. However,…

Robotics · Computer Science 2019-04-08 Andrew Patterson , Arun Lakshmanan , Naira Hovakimyan

We present a new algorithm for probabilistic planning with no observability. Our algorithm, called Probabilistic-FF, extends the heuristic forward-search machinery of Conformant-FF to problems with probabilistic uncertainty about both the…

Artificial Intelligence · Computer Science 2011-11-02 C. Domshlak , J. Hoffmann

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

Optimization and Control · Mathematics 2018-03-29 Omid Nohadani , Kartikey Sharma

Many methods in learning from demonstration assume that the demonstrator has knowledge of the full environment. However, in many scenarios, a demonstrator only sees part of the environment and they continuously replan as they gather…

Robotics · Computer Science 2020-05-13 Craig Knuth , Glen Chou , Necmiye Ozay , Dmitry Berenson

Model-based approaches bear great promise for decision making of agents interacting with the physical world. In the context of spatial environments, different types of problems such as localisation, mapping, navigation or autonomous…

Machine Learning · Statistics 2019-06-21 Atanas Mirchev , Baris Kayalibay , Maximilian Soelch , Patrick van der Smagt , Justin Bayer

Path planning in obstacle-dense environments is a key challenge in robotics, and depends on inferring scene attributes and associated uncertainties. We present a multiple-hypothesis path planner designed to navigate complex environments…

Robotics · Computer Science 2023-08-16 Brian H. Wang , Beatriz Asfora , Rachel Zheng , Aaron Peng , Jacopo Banfi , Mark Campbell

We present a new strategic voting model where we use uncertainty representation to model preferences. Specifically, we use probability sets as uncertainty representations, together with lower and upper expected utility gains to take…

Computer Science and Game Theory · Computer Science 2026-05-18 Henri Surugue , Sébastien Destercke

In autonomous driving, accurate motion prediction is crucial for safe and efficient motion planning. To ensure safety, planners require reliable uncertainty estimates of the predicted behavior of surrounding agents, yet this aspect has…

Robotics · Computer Science 2025-03-03 Aron Distelzweig , Andreas Look , Eitan Kosman , Faris Janjoš , Jörg Wagner , Abhinav Valada

Informative path planning algorithms are of paramount importance in applications like disaster management to efficiently gather information through a priori unknown environments. This is, however, a complex problem that involves finding a…

Robotics · Computer Science 2023-08-24 Mobolaji O. Orisatoki , Mahdi Amouzadi , Arash M. Dizqah

When collaborating with an AI system, we need to assess when to trust its recommendations. If we mistakenly trust it in regions where it is likely to err, catastrophic failures may occur, hence the need for Bayesian approaches for…

Artificial Intelligence · Computer Science 2021-02-23 Federico Cerutti , Lance M. Kaplan , Angelika Kimmig , Murat Sensoy

Past research on pedestrian trajectory forecasting mainly focused on deterministic predictions which provide only point estimates of future states. These future estimates can help an autonomous vehicle plan its trajectory and avoid…

Machine Learning · Computer Science 2023-01-16 Anshul Nayak , Azim Eskandarian , Zachary Doerzaph

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

Two different approaches to dealing with probabilistic knowledge are examined -models and inductive inference. Examples of the first are: influence diagrams [1], Bayesian networks [2], log-linear models [3, 4]. Examples of the second are:…

Artificial Intelligence · Computer Science 2013-04-12 Norman C. Dalkey

We consider traffic flow models at different scales of observation. Starting from the well known hierarchy between microscopic, kinetic and macroscopic scales, we will investigate the propagation of uncertainties through the models using…

Numerical Analysis · Mathematics 2022-10-13 Elisa Iacomini

We introduce a novel rule-based approach for handling regression problems. The new methodology carries elements from two frameworks: (i) it provides information about the uncertainty of the parameters of interest using Bayesian inference,…

Machine Learning · Statistics 2021-10-11 Themistoklis Botsas , Lachlan R. Mason , Indranil Pan

We consider the problem of inferring the topology of a network using the measurements available at the end nodes, without cooperation from the internal nodes. To this end, we provide a simple method to obtain path interference which…

Networking and Internet Architecture · Computer Science 2019-03-19 Anurag Rai , Eytan Modiano

Identifying the obstacle space is crucial for path planning. However, generating an accurate obstacle space remains a significant challenge due to various sources of uncertainty, including motion, behavior, and perception limitations. Even…

Robotics · Computer Science 2025-09-30 Jun Xiang , Jun Chen

Expert systems applications that involve uncertain inference can be represented by a multidimensional contingency table. These tables offer a general approach to inferring with uncertain evidence, because they can embody any form of…

Artificial Intelligence · Computer Science 2013-04-15 David S. Vaughan , Bruce M. Perrin , Robert M. Yadrick , Peter D. Holden , Karl G. Kempf

We describe a representation and a set of inference methods that combine logic programming techniques with probabilistic network representations for uncertainty (influence diagrams). The techniques emphasize the dynamic construction and…

Artificial Intelligence · Computer Science 2013-04-11 John S. Breese , Edison Tse