Search results for "Certainty"

Clustering-based robust three-dimensional phase unwrapping algorithm

2010

Relatively recent techniques that produce phase volumes have motivated the study of three-dimensional (3D) unwrapping algorithms that inherently incorporate the third dimension into the process. We propose a novel 3D unwrapping algorithm that can be considered to be a generalization of the minimum spanning tree (MST) approach. The technique combines characteristics of some of the most robust existing methods: it uses a quality map to guide the unwrapping process, a region growing mechanism to progressively unwrap the signal, and also cut surfaces to avoid error propagation. The approach has been evaluated in the context of noncontact measurement of dynamic objects, suggesting a better perfo…

Error Estimates of Theoretical Models: a Guide

2014

This guide offers suggestions/insights on uncertainty quantification of nuclear structure models. We discuss a simple approach to statistical error estimates, strategies to assess systematic errors, and show how to uncover inter-dependencies by correlation analysis. The basic concepts are illustrated through simple examples. By providing theoretical error bars on predicted quantities and using statistical methods to study correlations between observables, theory can significantly enhance the feedback between experiment and nuclear modeling.

How to Deal with Systematic Uncertainties

2013

Robustness of PET Radiomics Features: Impact of Co-Registration with MRI

2021

Radiomics holds great promise in the field of cancer management. However, the clinical application of radiomics has been hampered by uncertainty about the robustness of the features extracted from the images. Previous studies have reported that radiomics features are sensitive to changes in voxel size resampling and interpolation, image perturbation, or slice thickness. This study aims to observe the variability of positron emission tomography (PET) radiomics features under the impact of co-registration with magnetic resonance imaging (MRI) using the difference percentage coefficient, and the Spearman’s correlation coefficient for three groups of images: (i) original PET, (ii) PET after co-…

Collaborative Musical Creativity between Students and Adults: The Sonorous Paella

2021

While creativity is a key element of contemporary curriculum frameworks around the world, it is still insufficiently fostered in formal education settings. This study analyzes a project for collaborative musical creativity, entitled The Sonorous Paella. Participants (N = 12) were eight Year 4 secondary students, two professional musicians, an artist-in-residence, and a music teacher. Drawing on a graphic musical score, the participants worked together for 1.5 months to produce a group composition and performance. They were provided with various sound producers (instruments, everyday objects, technological devices) and were encouraged to flexibly utilize the physical space to maximize collab…

A Logic of Discovery

1998

A logic of discovery is introduced. In this logic, true sentences are discovered over time based on arriving data. A notion of expectation is introduced to reflect the growing certainty that a universally quantified sentence is true as more true instances are observed. The logic is shown to be consistent and complete. Monadic predicates are considered as a special case

Introspection and equilibrium selection in 2 � 2 matrix games

1994

Game theory lacks an explanation of how players' beliefs are formed and why they are in equilibrium. This is the reason why it has failed to make significant advances with the problem of equilibrium selection even for quite siniple games, as 2x2 games with two strict Nash equilibria. Our paper models the introspection process by which the selected equilibrium is achieved in this class of games. Players begin their analysis with imprecise priors, obtained under weak restrictions formulated as Axioms. For a large class of reasoning dynamics we obtain as the solution the risk dominant Nash equilibrium.

An overview of semi-infinite programming theory and related topics through a generalization of the alternative theorems

1984

We propose new alternative theorems for convex infinite systems which constitute the generalization of the corresponding toGale, Farkas, Gordan andMotzkin. By means of these powerful results we establish new approaches to the Theory of Infinite Linear Inequality Systems, Perfect Duality, Semi-infinite Games and Optimality Theory for non-differentiable convex Semi-Infinite Programming Problem.

Pricing of digital services as an effectual co-creative process

2022

Entrepreneurs have to price their innovations under the unpredictability of customers’ reactions. While predictive pricing methods are prevalent in business-to-business pricing literature, we argue for the critical importance of control-oriented pricing strategies for digital services. By applying effectuation theory, our study investigates how entrepreneurs co-create their pricing strategies for their digital services as a co-evolutionary, iterative process with their customers. We found that pricing is the co-evolutionary process where entrepreneurs learn from their interactions with customers and use this knowledge to develop and improve their pricing practices further. The findings cont…

Testing experimental designs in liquid chromatography (II): Influence of the design geometry on the prediction performance of retention models.

2021

Abstract In liquid chromatography, the reliability of predictions carried out with retention models depends critically on the quality of the training experimental design. The search of the best design is more complex when gradient runs are used instead of isocratic experiments. In Part I of this work (JCA 1624 (2020) 461180), a general methodology based on the error propagation theory was developed and validated for assessing the quality of training designs involving gradients. The treatment relates the mathematical properties of a retention model with the geometry of the training designs and their subsequent predictions. In that work, only five usual designs were considered. Part II invest…