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A convenient framework for dealing with asymptotic limit problems of probabilistic nature is provided. These problems include questions such as finding the asymptotic proportion of terms of a sequence falling inside a given interval, or the…

History and Overview · Mathematics 2024-04-08 Michaël Bensimhoun

We give elementary examples within a framework for studying decisions under uncertainty where probabilities are only roughly known. The framework, in gambling terms, is that the size of a bet is proportional to the gambler's perceived…

Probability · Mathematics 2023-12-19 David J. Aldous , F. Thomas Bruss

We propose a framework for the configuration and operation of expensive-to-evaluate advanced manufacturing methods, based on Bayesian optimization. The framework unifies a tailored acquisition function, a parallel acquisition procedure, and…

Machine Learning · Computer Science 2023-01-18 Xavier Guidetti , Alisa Rupenyan , Lutz Fassl , Majid Nabavi , John Lygeros

This essay looks at decision-making with interval-valued probability measures. Existing decision methods have either supplemented expected utility methods with additional criteria of optimality, or have attempted to supplement the…

Artificial Intelligence · Computer Science 2013-04-15 Ronald P. Loui

Handling symmetries in optimization problems is essential for devising efficient solution methods. In this article, we present a general framework that captures many of the already existing symmetry handling methods. While these methods are…

Optimization and Control · Mathematics 2023-04-21 Jasper van Doornmalen , Christopher Hojny

In resolving instances of a computational problem, if multiple instances of interest share a feature in common, it may be fruitful to compile this feature into a format that allows for more efficient resolution, even if the compilation is…

Computational Complexity · Computer Science 2015-03-03 Hubie Chen

Large Language Models (LLMs) are increasingly expected to handle complex decision-making tasks, yet their ability to perform structured resource allocation remains underexplored. Evaluating their reasoning is also difficult due to data…

Artificial Intelligence · Computer Science 2025-08-11 Sankarshan Damle , Boi Faltings

While marketing budget allocation has been studied for decades in traditional business, nowadays online business brings much more challenges due to the dynamic environment and complex decision-making process. In this paper, we present a…

Data Structures and Algorithms · Computer Science 2019-05-23 Kui Zhao , Junhao Hua , Ling Yan , Qi Zhang , Huan Xu , Cheng Yang

We provide a novel notion of what it means to be interpretable, looking past the usual association with human understanding. Our key insight is that interpretability is not an absolute concept and so we define it relative to a target model,…

Artificial Intelligence · Computer Science 2017-07-14 Amit Dhurandhar , Vijay Iyengar , Ronny Luss , Karthikeyan Shanmugam

This paper introduces the notion of value-based argumentation frameworks, an extension of the standard argumentation frameworks proposed by Dung, which are able toshow how rational decision is possible in cases where arguments derive their…

Artificial Intelligence · Computer Science 2007-05-23 T. Bench-Capon

We define a generalized likelihood function based on uncertainty measures and show that maximizing such a likelihood function for different measures induces different types of classifiers. In the probabilistic framework, we obtain…

Machine Learning · Computer Science 2013-01-18 Loo-Nin Teow , Kia-Fock Loe

In approval-based multiwinner voting, voters express approval preferences over a set of candidates, and the goal is to return a winning committee. This model captures a broad range of subset selection problems under preferences. Prior work…

Computer Science and Game Theory · Computer Science 2026-04-28 Niclas Boehmer , Luca Kreisel , Jannik Peters

A probabilistic framework is proposed for the optimization of efficient switched control strategies for physical systems dominated by stochastic excitation. In this framework, the equation for the state trajectory is replaced with an…

Systems and Control · Computer Science 2017-01-10 Gianluca Meneghello , Paolo Luchini , Thomas Bewley

In this paper we explore the application of methods for classical judgment aggregation in pooling probabilistic opinions on logically related issues. For this reason, we first modify the Boolean judgment aggregation framework in the way…

Artificial Intelligence · Computer Science 2019-07-23 Magdalena Ivanovska , Marija Slavkovik

We present a new framework for the assessment and calibration of medium range ensemble temperature forecasts. The method is based on maximising the likelihood of a simple parametric model for the temperature distribution, and leads to some…

Atmospheric and Oceanic Physics · Physics 2009-11-10 Stephen Jewson , Anders Brix , Christine Ziehmann

Various structured argumentation frameworks utilize preferences as part of their standard inference procedure to enable reasoning with preferences. In this paper, we consider an inverse of the standard reasoning problem, seeking to identify…

Artificial Intelligence · Computer Science 2020-05-13 Quratul-ain Mahesar , Nir Oren , Wamberto W. Vasconcelos

A risk analyst assesses potential financial losses based on multiple sources of information. Often, the assessment does not only depend on the specification of the loss random variable but also various economic scenarios. Motivated by this…

Risk Management · Quantitative Finance 2023-10-02 Tolulope Fadina , Yang Liu , Ruodu Wang

We study a general aggregation problem in which a society has to determine its position on each of several issues, based on the positions of the members of the society on those issues. There is a prescribed set of feasible evaluations,…

Computer Science and Game Theory · Computer Science 2015-03-20 Elad Dokow , Dvir Falik

In the field of modeling, the word validation refers to simple comparisons between model outputs and experimental data. Usually, this comparison constitutes plotting the model results against data on the same axes to provide a visual…

Applications · Statistics 2021-06-11 Farid Mohammadi

Previously, the author has developed a framework within which to quantify and compare the resources consumed during computational-especially unconventional computational-processes (adding to the familiar resources of run-time and memory…

Cryptography and Security · Computer Science 2013-04-17 Ed Blakey
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