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Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

Numerical Analysis · Mathematics 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

The goal of this paper is to review the main trends in the domain of uncertainty principles and localization, emphasize their mutual connections and investigate practical consequences. The discussion is strongly oriented towards, and…

Information Theory · Computer Science 2013-09-23 Benjamin Ricaud , Bruno Torresani

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

This paper studies a risk-sensitive decision-making problem under uncertainty. It considers a decision-making process that unfolds over a fixed number of stages, in which a decision-maker chooses among multiple alternatives, some of which…

Optimization and Control · Mathematics 2026-01-07 Chung-Han Hsieh , Yi-Shan Wong

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

Control systems operating in the real world face countless sources of unpredictable uncertainties. These random disturbances can render deterministic guarantees inapplicable and cause catastrophic safety failures. To overcome this, this…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Pol Mestres , Blake Werner , Ryan K. Cosner , Aaron D. Ames

To more flexibly balance between exploration and exploitation, a new meta-heuristic method based on Uncertainty Principle concepts is proposed in this paper. UP is is proved effective in multiple branches of science. In the branch of…

Neural and Evolutionary Computing · Computer Science 2020-06-18 Mojtaba Moattari , Mohammad Hassan Moradi , Emad Roshandel

This work contributes to a compositional theory of "co-design" that allows to optimally design a robotic platform. In this framework, the user describes each subsystem as a monotone relation between "functionality" provided and "resources"…

Robotics · Computer Science 2017-02-27 Andrea Censi

We propose automated techniques for the verification and control of probabilistic real-time systems that are only partially observable. To formally model such systems, we define an extension of probabilistic timed automata in which local…

Logic in Computer Science · Computer Science 2015-06-24 Gethin Norman , David Parker , Xueyi Zou

This paper studies the problem of safe stabilization of control-affine systems under uncertainty. Our starting point is the availability of worst-case or probabilistic error descriptions for the dynamics and a control barrier function…

Optimization and Control · Mathematics 2023-12-05 Pol Mestres , Jorge Cortés

Temporal logics provide a formalism for expressing complex system specifications. A large body of literature has addressed the verification and the control synthesis problem for deterministic systems under such specifications. For…

Logic · Mathematics 2020-08-27 Lars Lindemann , George J. Pappas , Dimos V. Dimarogonas

Fair predictive algorithms hinge on both equality and trust, yet inherent uncertainty in real-world data challenges our ability to make consistent, fair, and calibrated decisions. While fairly managing predictive error has been extensively…

Machine Learning · Computer Science 2024-10-04 Lucas Rosenblatt , R. Teal Witter

The linear programming (LP) approach is, together with value iteration and policy iteration, one of the three fundamental methods to solve optimal control problems in a dynamic programming setting. Despite its simple formulation,…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Lucia Falconi , Andrea Martinelli , John Lygeros

Quantified constraints and Quantified Boolean Formulae are typically much more difficult to reason with than classical constraints, because quantifier alternation makes the usual notion of solution inappropriate. As a consequence, basic…

Logic in Computer Science · Computer Science 2007-05-25 Lucas Bordeaux , Marco Cadoli , Toni Mancini

We re-examine a practical aspect of combinatorial fuzzy problems of various types, including search, counting, optimization, and decision problems. We are focused only on those fuzzy problems that take series of fuzzy input objects and…

Artificial Intelligence · Computer Science 2016-11-17 Tomoyuki Yamakami

Choice functions constitute a simple, direct and very general mathematical framework for modelling choice under uncertainty. In particular, they are able to represent the set-valued choices that appear in imprecise-probabilistic decision…

Artificial Intelligence · Computer Science 2019-05-22 Jasper De Bock , Gert de Cooman

A common theme in all the above areas is designing a dynamical system to accomplish desired objectives, possibly in some predefined optimal way. Since control theory advances the idea of suitably modifying the behavior of a dynamical…

Optimization and Control · Mathematics 2024-07-03 Revati Gunjal , Syed Shadab Nayyer , Sushama Wagh , Navdeep Singh

Many AI synthesis problems such as planning or scheduling may be modelized as constraint satisfaction problems (CSP). A CSP is typically defined as the problem of finding any consistent labeling for a fixed set of variables satisfying all…

Artificial Intelligence · Computer Science 2013-03-25 Thomas Schiex

Transportation Problem is an important aspect which has been widely studied in Operations Research domain. It has been studied to simulate different real life problems. In particular, application of this Problem in NP- Hard Problems has a…

Artificial Intelligence · Computer Science 2013-07-09 Arindam Chaudhuri , Kajal De

The constraint satisfaction problem, parameterized by a relational structure, provides a general framework for expressing computational decision problems. Already the restriction to the class of all finite structures forms an interesting…

Logic in Computer Science · Computer Science 2024-02-15 Jakub Rydval , Žaneta Semanišinová , Michał Wrona