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In this paper, an optimization problem with uncertain constraint coefficients is considered. Possibility theory is used to model the uncertainty. Namely, a joint possibility distribution in constraint coefficient realizations, called…

Optimization and Control · Mathematics 2023-09-07 Romain Guillaume , Adam Kasperski , Pawel Zielinski

We define a probabilistic programming language for Gaussian random variables with a first-class exact conditioning construct. We give operational, denotational and equational semantics for this language, establishing convenient properties…

Programming Languages · Computer Science 2021-01-28 Dario Stein , Sam Staton

Leveraging recent developments in black-box risk-aware verification, we provide three algorithms that generate probabilistic guarantees on (1) optimality of solutions, (2) recursive feasibility, and (3) maximum controller runtimes for…

Optimization and Control · Mathematics 2023-03-14 Prithvi Akella , Wyatt Ubellacker , Aaron D. Ames

We propose a data-driven method to establish probabilistic performance guarantees for parametric optimization problems solved via iterative algorithms. Our approach addresses two key challenges: providing convergence guarantees to…

Optimization and Control · Mathematics 2025-10-31 Jingyi Huang , Paul Goulart , Kostas Margellos

This paper presents a plausible reasoning system to illustrate some broad issues in knowledge representation: dualities between different reasoning forms, the difficulty of unifying complementary reasoning styles, and the approximate nature…

Artificial Intelligence · Computer Science 2013-03-26 Wray L. Buntine

The purpose of the paper is to introduce a new approach of planning called Assumption-Based Planning. This approach is a very interesting way to devise a planner based on a multi-agent system in which the production of a global shared plan…

Artificial Intelligence · Computer Science 2018-10-22 Damien Pellier , Humbert Fiorino

Financial structures such as securitisations, insurance contracts, and other hierarchical claims systems can be interpreted as deterministic allocation mechanisms acting on stochastic inflow processes. This paper develops a general…

Computational Finance · Quantitative Finance 2026-02-17 Antonio Scala

Conditional probabilities are a core concept in machine learning. For example, optimal prediction of a label $Y$ given an input $X$ corresponds to maximizing the conditional probability of $Y$ given $X$. A common approach to inference tasks…

Machine Learning · Computer Science 2017-08-09 Yoav Wald , Amir Globerson

Probabilistic model checking is a technique for formal automated reasoning about software or hardware systems that operate in the context of uncertainty or stochasticity. It builds upon ideas and techniques from a diverse range of fields,…

Logic in Computer Science · Computer Science 2023-08-08 David Parker

This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

Systems and Control · Electrical Eng. & Systems 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

Understanding the behavior of learned classifiers is an important task, and various black-box explanations, logical reasoning approaches, and model-specific methods have been proposed. In this paper, we introduce probabilistic sufficient…

Machine Learning · Computer Science 2021-05-24 Eric Wang , Pasha Khosravi , Guy Van den Broeck

Probabilistic programming has emerged as a powerful paradigm in statistics, applied science, and machine learning: by decoupling modelling from inference, it promises to allow modellers to directly reason about the processes generating…

Machine Learning · Statistics 2019-06-10 Maria I. Gorinova , Dave Moore , Matthew D. Hoffman

Contract scheduling is a general technique that allows to design a system with interruptible capabilities, given an algorithm that is not necessarily interruptible. Previous work on this topic has largely assumed that the interruption is a…

Artificial Intelligence · Computer Science 2020-11-26 Spyros Angelopoulos , Shahin Kamali

This paper discusses a method for implementing a probabilistic inference system based on an extended relational data model. This model provides a unified approach for a variety of applications such as dynamic programming, solving sparse…

Artificial Intelligence · Computer Science 2013-02-21 Michael S. K. M. Wong , C. J. Butz , Yang Xiang

Integrating autonomous and adaptive behavior into software-intensive systems presents significant challenges for software development, as uncertainties in the environment or decision-making processes must be explicitly captured. These…

Programming Languages · Computer Science 2025-12-19 Anastasia Mavridou , Marie Farrell , Gricel Vázquez , Tom Pressburger , Timothy E. Wang , Radu Calinescu , Michael Fisher

Theoretically as well as experimentally it is investigated how people represent their knowledge in order to make decisions or to share their knowledge with others. Experiment 1 probes into the ways how people 6ather information about the…

Artificial Intelligence · Computer Science 2013-04-15 Alf C. Zimmer

Probabilistic specifications are fast gaining ground as a tool for statistical modeling of probabilistic systems. One of the main goals of formal methods in this domain is to ensure that specific behavior is present or absent in the system,…

Logic in Computer Science · Computer Science 2022-06-14 Carlos Olarte , Camilo Rocha , Daniel Osorio

We introduce generative interpretation, a new approach to estimating contractual meaning using large language models. As AI triumphalism is the order of the day, we proceed by way of grounded case studies, each illustrating the capabilities…

Computation and Language · Computer Science 2023-08-15 Yonathan A. Arbel , David Hoffman

Semiparametric regression offers a flexible framework for modeling non-linear relationships between a response and covariates. A prime example are generalized additive models where splines (say) are used to approximate non-linear functional…

Statistics Theory · Mathematics 2018-10-05 Francis K. C. Hui , Chong You , Han Lin Shang , Samuel Müller

We study probabilistically informative (weak) versions of transitivity, by using suitable definitions of defaults and negated defaults, in the setting of coherence and imprecise probabilities. We represent p-consistent sequences of defaults…

Probability · Mathematics 2015-03-16 Angelo Gilio , Niki Pfeifer , Giuseppe Sanfilippo