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We consider a network design and expansion problem, where we need to make a capacity investment now, such that uncertain future demand can be satisfied as closely as possible. To use a robust optimization approach, we need to construct an…

Optimization and Control · Mathematics 2021-03-03 Francis Garuba , Marc Goerigk , Peter Jacko

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

We extend the classical setting of an optimal stopping problem under full information to include for problems with an unknown state. The framework allows the unknown state to influence (i) the drift of the underlying process, (ii) the…

Probability · Mathematics 2024-05-08 Erik Ekström , Yuqiong Wang

Data-driven control in unknown environments requires a clear understanding of the involved uncertainties for ensuring safety and efficient exploration. While aleatoric uncertainty that arises from measurement noise can often be explicitly…

Machine Learning · Computer Science 2023-07-13 Neha Das , Jonas Umlauft , Armin Lederer , Thomas Beckers , Sandra Hirche

This paper presents \proverb\, a text planner for argumentative texts. \proverb\'s main feature is that it combines global hierarchical planning and unplanned organization of text with respect to local derivation relations in a…

cmp-lg · Computer Science 2008-02-03 Xiaorong Huang

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 the preprocessing framework for dealing with uncertain data, one is given a set of regions that one is allowed to preprocess to create some auxiliary structure such that when a realization of these regions is given, consisting of one…

Data Structures and Algorithms · Computer Science 2026-01-28 Maarten Löffler , Benjamin Raichel

This work presents a novel data-driven multi-layered planning and control framework for the safe navigation of a class of unmanned ground vehicles (UGVs) in the presence of unknown stationary obstacles and additive modeling uncertainties.…

Robotics · Computer Science 2024-03-06 Skylar X. Wei , Lu Gan , Joel W. Burdick

Distributional ambiguity sets provide quantifiable ways to characterize the uncertainty about the true probability distribution of random variables of interest. This makes them a key element in data-driven robust optimization by exploiting…

Optimization and Control · Mathematics 2019-09-26 Dimitris Boskos , Jorge Cortés , Sonia Martínez

We present a novel methodology for predicting future outcomes that uses small numbers of individuals participating in an imperfect information market. By determining their risk attitudes and performing a nonlinear aggregation of their…

Statistical Mechanics · Physics 2008-12-02 Kay-Yut Chen , Leslie R. Fine , Bernardo A. Huberman

Design-based frameworks of uncertainty are frequently used in settings where the treatment is (conditionally) randomly assigned. This paper develops a design-based framework suitable for analyzing quasi-experimental settings in the social…

Econometrics · Economics 2025-06-17 Ashesh Rambachan , Jonathan Roth

We use decision theory to confront uncertainty that is sufficiently broad to incorporate "models as approximations." We presume the existence of a featured collection of what we call "structured models" that have explicit substantive…

Theoretical Economics · Economics 2022-08-22 Simone Cerreia-Vioglio , Lars Peter Hansen , Fabio Maccheroni , Massimo Marinacci

One of the most complex tasks of decision making and planning is to gather information. This task becomes even more complex when the state is high-dimensional and its belief cannot be expressed with a parametric distribution. Although the…

Artificial Intelligence · Computer Science 2022-09-26 Gilad Rotman , Vadim Indelman

Uncertainty plays a crucial role in the machine learning field. Both model trustworthiness and performance require the understanding of uncertainty, especially for models used in high-stake applications where errors can cause cataclysmic…

Machine Learning · Computer Science 2022-11-29 Shuo Chen

To make good decisions in the real world people need efficient planning strategies because their computational resources are limited. Knowing which planning strategies would work best for people in different situations would be very useful…

Artificial Intelligence · Computer Science 2021-02-02 Saksham Consul , Lovis Heindrich , Jugoslav Stojcheski , Falk Lieder

Uncertainty-quantification methods are applied to estimate the confidence of deep-neural-networks classifiers over their predictions. However, most widely used methods are known to be overconfident. We address this problem by developing an…

Machine Learning · Computer Science 2023-05-19 Luigi Sbailò , Luca M. Ghiringhelli

In many real world problems, optimization decisions have to be made with limited information. The decision maker may have no a priori or posteriori data about the often nonconvex objective function except from on a limited number of points…

Optimization and Control · Mathematics 2011-11-10 Tansu Alpcan

Unitary quantum theory, having no Born Rule, is non-probabilistic. Hence the notorious problem of reconciling it with the unpredictability and appearance of stochasticity in quantum measurements. Generalising and improving upon the…

Quantum Physics · Physics 2016-09-28 Chiara Marletto

In this paper, we present a unified framework for decision making under uncertainty. Our framework is based on the composite of two risk measures, where the inner risk measure accounts for the risk of decision given the exact distribution…

Optimization and Control · Mathematics 2015-01-07 Pengyu Qian , Zizhuo Wang , Zaiwen Wen

A major challenge with off-road autonomous navigation is the lack of maps or road markings that can be used to plan a path for autonomous robots. Classical path planning methods mostly assume a perfectly known environment without accounting…

Robotics · Computer Science 2023-09-19 Charles Moore , Shaswata Mitra , Nisha Pillai , Marc Moore , Sudip Mittal , Cindy Bethel , Jingdao Chen
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