Numerical Mathematics and Advanced Applications 2011
Proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011
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Chapter and Conference Paper
Machine Learning and Sustainability Metrics: Optimising Risk Assessment and Default Prediction
The financial industry is increasingly acknowledging the importance of sustainability, integrating environmental, social, and governance (ESG) factors into risk assessment models. In this study, we have explor...
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Chapter and Conference Paper
GaussianProductAttributes: Density-Based Distributed Representations for Products
Multivariate Gaussian probability distributions have been used as distributed representations for text. In comparison with traditional vector representations, these density-based representations are able to m...
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Article
What can the randomness of missing values tell you about clinical practice in large data sets of children’s vital signs?
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Chapter
Discussion
These results are important as they examine the question of the relationship between drug use and personality comprehensively and engage in the challenge of untangling correlated personality traits (the FFM, i...
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Chapter and Conference Paper
Convergence of Multilevel Stationary Gaussian Convolution
In this paper we give a short note showing convergence rates for periodic approximation of smooth functions by multilevel Gaussian convolution. We will use the Gaussian scaling in the convolution at the finest...
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Chapter
Introduction
Each set of data can tell us a story. Our mission is to extract this story from the data and translate it into more readily accessible human language. There are a number of tools for such a translation. To pre...
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Chapter
Summary
What have all of these data tables told us? We have asked whether or not a psychological predisposition to drug consumption exists. Now, we can formulate the answer in brief.
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Chapter
Drug Use and Personality Profiles
Drug use disorder is characterised by several terms: addiction, dependence, and abuse. We discuss the notion of psychoactive substance and relations between the existing definitions. The personality traits whi...
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Chapter
Results of Data Analysis
This chapter includes results of data analysis. The relationship between personality profiles and drug consumption is described and the individual drug consumption risks for different drugs is evaluated. Signi...
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Chapter
Methods of Data Analysis
In this chapter, we give a brief outline of the methods of data analysis used, from elementary T-scores to nonlinear principal component analysis (PCA), including data normalisation, quantification of categori...
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Article
Multilevel quasi-interpolation on a sparse grid with the Gaussian
Motivated by the recent multilevel sparse kernel-based interpolation (MuSIK) algorithm proposed in Georgoulis et al. (SIAM J. Sci. Comput. 35, 815–832, 2013), we introduce the new quasi-multilevel sparse interpol...
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Chapter and Conference Paper
Fast Numerical Evaluation of Periodic Solutions for a Class of Nonlinear Systems and Its Applications for Parameter Estimation Problems
Fast numerical evaluation of forward models is central for a broad range of inverse problems. Here we propose a method for deriving computationally efficient representations of periodic solutions of parameteri...
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Article
Pseudo-outcrop Visualization of Borehole Images and Core Scans
A pseudo-outcrop visualization is demonstrated for borehole and full-diameter rock core images to augment the ubiquitous unwrapped cylinder view and thereby assist nonspecialist interpreters. The pseudo-outcro...
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Article
Open AccessAdaptive radial basis function interpolation using an error indicator
In some approximation problems, sampling from the target function can be both expensive and time-consuming. It would be convenient to have a method for indicating where approximation quality is poor, so that g...
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Book and Conference Proceedings
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Book and Conference Proceedings
Approximation Algorithms for Complex Systems
Proceedings of the 6th International Conference on Algorithms for Approximation, Ambleside, UK, 31st August - 4th September 2009
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Chapter and Conference Paper
Stabilizing Lattice Boltzmann Simulation of Fluid Flow past a Circular Cylinder with Ehrenfests’ Limiter
In this study, two-dimensional fluid flow around a circular cylinder for different laminar and turbulent regimes has been analyzed. We will show that introduction of Ehrenfests’ coarse-graining idea in lattice...
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Chapter and Conference Paper
Fast and Stable Interpolation of Well Data Using the Norm Function
We present an iterative algorithm for computing an approximation to data in wells using the norm function in three dimensions augmented with a tensor product of two dimensional Lagrange functions with one dime...
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Chapter and Conference Paper
Approximating Probability Measures on Manifolds via Radial Basis Functions
Approximating a given probability measure by a sequence of normal- ized counting measures is an interesting problem and has broad applications in many areas of mathematics and engineering. If the target measur...
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Chapter and Conference Paper
Time Step Expansions and the Invariant Manifold Approach to Lattice Boltzmann Models
The classical method for deriving the macroscopic dynamics of alattice Boltzmann system is to use a combination of different approximations and expansions. Usually aChapman–Enskog analysis is performed, either...
