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With reference to a baseline parametrization, we explore highly efficient fractional factorial designs for inference on the main effects and, perhaps, some interactions. Our tools include approximate theory together with certain carefully…

Statistics Theory · Mathematics 2014-05-14 Rahul Mukerjee , S. Huda

In this paper, we present two methods to provide explanations for reasoning with belief functions in the valuation-based systems. One approach, inspired by Strat's method, is based on sensitivity analysis, but its computation is simpler…

Artificial Intelligence · Computer Science 2013-02-21 Hong Xu , Philippe Smets

Copula modelling has in the past decade become a standard tool in many areas of applied statistics. However, a largely neglected aspect concerns the design of related experiments. Particularly the issue of whether the estimation of copula…

Methodology · Statistics 2014-06-12 Elisa Perrone , Werner G. Müller

We argue that robustness of explanations---i.e., that similar inputs should give rise to similar explanations---is a key desideratum for interpretability. We introduce metrics to quantify robustness and demonstrate that current methods do…

Machine Learning · Computer Science 2018-06-22 David Alvarez-Melis , Tommi S. Jaakkola

Real-world fact verification task aims to verify the factuality of a claim by retrieving evidence from the source document. The quality of the retrieved evidence plays an important role in claim verification. Ideally, the retrieved evidence…

Computation and Language · Computer Science 2023-05-08 Xuming Hu , Zhaochen Hong , Zhijiang Guo , Lijie Wen , Philip S. Yu

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

Computation · Statistics 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

We are concerned with the problem of introducing credibility type information into reasoning systems. The concept of credibility allows us to discount information provided by agents. An important characteristic of this kind of procedure is…

Artificial Intelligence · Computer Science 2013-04-05 Ronald R. Yager

While concepts and tools from Theoretical Computer Science are regularly applied to, and significantly support, software development for discrete problems, Numerical Engineering largely employs recipes and methods whose correctness and…

Computational Complexity · Computer Science 2018-01-23 Akitoshi Kawamura , Martin Ziegler

Physical experiments in the national security domain are often expensive and time-consuming. Test engineers must certify the compatibility of aircraft and their weapon systems before they can be deployed in the field, but the testing…

Methodology · Statistics 2023-10-02 Daniel Ries , Victoria R. C. Sieck , Philip Jones , Julie Shaffer

Building a safety case is a common approach to make expert judgement explicit about safety of a system. The issue of confidence in such argumentation is still an open research field. Providing quantitative estimation of confidence is an…

Artificial Intelligence · Computer Science 2015-12-15 Jérémie Guiochet , Quynh Anh Do Hoang , Mohamed Kaaniche

Bayesian optimal experimental design provides a principled framework for selecting experimental settings that maximize obtained information. In this work, we focus on estimating the expected information gain in the setting where the…

Machine Learning · Statistics 2025-10-02 Chuntao Chen , Tapio Helin , Nuutti Hyvönen , Yuya Suzuki

Many scientifically well-motivated statistical models in natural, engineering, and environmental sciences are specified through a generative process. However, in some cases, it may not be possible to write down the likelihood for these…

Methodology · Statistics 2020-11-17 Sanjay Chaudhuri , Subhroshekhar Ghosh , David J. Nott , Kim Cuc Pham

This paper tackles challenges in pricing and revenue projections due to consumer uncertainty. We propose a novel data-based approach for firms facing unknown consumer type distributions. Unlike existing methods, we assume firms only observe…

Theoretical Economics · Economics 2024-05-28 Duarte Gonçalves , Bruno A. Furtado

Confidence is central to safety and assurance cases: how much confidence a decision requires and how much the argument actually provides are both important questions. We present a new method for assessing probabilistic confidence in…

Software Engineering · Computer Science 2026-04-02 Robin Bloomfield , John Rushby

This paper addresses a significant gap in explainable AI: the necessity of interpreting epistemic uncertainty in model explanations. Although current methods mainly focus on explaining predictions, with some including uncertainty, they fail…

Artificial Intelligence · Computer Science 2024-10-10 Helena Löfström , Tuwe Löfström , Johan Hallberg Szabadvary

This paper introduces a methodology designed to augment the inverse design optimization process in scenarios constrained by limited compute, through the strategic synergy of multi-fidelity evaluations, machine learning models, and…

Computational Engineering, Finance, and Science · Computer Science 2024-06-04 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

Standard value function approaches to finding policies for Partially Observable Markov Decision Processes (POMDPs) are generally considered to be intractable for large models. The intractability of these algorithms is to a large extent a…

Artificial Intelligence · Computer Science 2011-10-05 N. Roy , G. Gordon , S. Thrun

Approximate Bayesian computation (ABC) is one of the most popular "likelihood-free" methods. These methods have been applied in a wide range of fields by providing solutions to intractable likelihood problems in which exact Bayesian…

Methodology · Statistics 2025-04-08 Chaya Weerasinghe , David T. Frazier , Ruben Loaiza-Maya , Christopher Drovandi

We study procurement design when the buyer is uncertain about both the value of the good and the seller's cost. The buyer has a conjectured model but does not fully trust it. She first identifies mechanisms that maximize her worst-case…

Theoretical Economics · Economics 2025-12-10 Debasis Mishra , Sanket Patil , Alessandro Pavan

Robust optimization provides a principled and unified framework to model many problems in modern operations research and computer science applications, such as risk measures minimization and adversarially robust machine learning. To use a…

Optimization and Control · Mathematics 2024-10-04 Hao Hao , Peter Zhang
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