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We apply recent ideas about complexity and randomness to the philosophy of laws and chances. We develop two ways to use algorithmic randomness to characterize probabilistic laws of nature. The first, a generative chance* law, employs a…

History and Philosophy of Physics · Physics 2025-09-03 Jeffrey A. Barrett , Eddy Keming Chen

Robust optimization methods have shown practical advantages in a wide range of decision-making applications under uncertainty. Recently, their efficacy has been extended to multi-period settings. Current approaches model uncertainty either…

Optimization and Control · Mathematics 2022-02-23 Omid Nohadani , Kartikey Sharma

Robust motion planning entails computing a global motion plan that is safe under all possible uncertainty realizations, be it in the system dynamics, the robot's initial position, or with respect to external disturbances. Current approaches…

Robotics · Computer Science 2022-11-02 Albert Wu , Thomas Lew , Kiril Solovey , Edward Schmerling , Marco Pavone

Models that adapt their predictions based on some given contexts, also known as in-context learning, have become ubiquitous in recent years. We propose to study the behavior of such models when data is contaminated by noise. Towards this…

Machine Learning · Computer Science 2024-11-05 Chen Shapira , Dan Rosenbaum

Balancing the trade-off between safety and efficiency is of significant importance for path planning under uncertainty. Many risk-aware path planners have been developed to explicitly limit the probability of collision to an acceptable…

Robotics · Computer Science 2022-10-26 Fei Meng , Liangliang Chen , Han Ma , Jiankun Wang , Max Q. -H. Meng

When agents devise plans for execution in the real world, they face two important forms of uncertainty: they can never have complete knowledge about the state of the world, and they do not have complete control, as the effects of their…

Artificial Intelligence · Computer Science 2013-02-28 Ron Davidson , Michael R. Fehling

Robotic systems are more present in our society everyday. In human-robot environments, it is crucial that end-users may correctly understand their robotic team-partners, in order to collaboratively complete a task. To increase action…

Artificial Intelligence · Computer Science 2021-09-03 Francisco Cruz , Richard Dazeley , Peter Vamplew , Ithan Moreira

Clinical decision requires reasoning in the presence of imperfect data. DTs are a well-known decision support tool, owing to their interpretability, fundamental in safety-critical contexts such as medical diagnosis. However, learning DTs…

The past two decades have seen a growing interest in combining causal information, commonly represented using causal graphs, with machine learning models. Probability trees provide a simple yet powerful alternative representation of causal…

Machine Learning · Computer Science 2022-05-18 Tue Herlau

Model explainability is crucial for human users to be able to interpret how a proposed classifier assigns labels to data based on its feature values. We study generalized linear models constructed using sets of feature value rules, which…

Machine Learning · Statistics 2023-11-06 Sanjeeb Dash , Soumyadip Ghosh , Joao Goncalves , Mark S. Squillante

Learning complex robot behaviors through interaction requires structured exploration. Planning should target interactions with the potential to optimize long-term performance, while only reducing uncertainty where conducive to this…

Machine Learning · Computer Science 2021-12-14 Tim Seyde , Wilko Schwarting , Sertac Karaman , Daniela Rus

Robot sequential decision-making in the real world is a challenge because it requires the robots to simultaneously reason about the current world state and dynamics, while planning actions to accomplish complex tasks. On the one hand,…

Artificial Intelligence · Computer Science 2023-10-03 Shiqi Zhang , Piyush Khandelwal , Peter Stone

Despite the celebrated success of stochastic control approaches for uncertain systems, such approaches are limited in the ability to handle non-Gaussian uncertainties. This work presents an adaptive robust control for linear uncertain…

Optimization and Control · Mathematics 2026-01-13 Xuehui Ma , Shiliang Zhang , Zhiyong Sun , Xiaohui Zhang , Sabita Maharjan

Model-based Reinforcement Learning estimates the true environment through a world model in order to approximate the optimal policy. This family of algorithms usually benefits from better sample efficiency than their model-free counterparts.…

Machine Learning · Computer Science 2021-10-27 Valentin Charvet , Bjørn Sand Jensen , Roderick Murray-Smith

Abstraction and realization are bilateral processes that are key in deriving intelligence and creativity. In many domains, the two processes are approached through rules: high-level principles that reveal invariances within similar yet…

Machine Learning · Computer Science 2018-03-13 Haizi Yu , Tianxi Li , Lav R. Varshney

This paper studies motion planning of a mobile robot under uncertainty. The control objective is to synthesize a {finite-memory} control policy, such that a high-level task specified as a Linear Temporal Logic (LTL) formula is satisfied…

Robotics · Computer Science 2017-10-24 Meng Guo , Michael M. Zavlanos

We present a provably safe sampling-based motion planning algorithm for robotic systems affected by random disturbances of unknown distribution. We consider systems with linear or linearizable dynamics evolving in workspace with…

Robotics · Computer Science 2026-05-27 Ibon Gracia , Qi Heng Ho , Luca Laurenti , Morteza Lahijanian

Modern technologies are producing datasets with complex intrinsic structures, and they can be naturally represented as matrices instead of vectors. To preserve the latent data structures during processing, modern regression approaches…

Machine Learning · Computer Science 2016-11-16 Hang Zhang , Fengyuan Zhu , Shixin Li

Humans navigate in their environment by learning a mental model of the world through passive observation and active interaction. Their world model allows them to anticipate what might happen next and act accordingly with respect to an…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Anthony Hu

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