Mathematica tools for uncertainty analysis

Data Analysis Tools for Uncertainty Quantification of Inverse Problems

We present exploratory data analysis methods to assess inversion estimates using examples based on �2and �1-regularization. These methods can be used to reveal the presence of systematic errors such as bias and discretization effects, or to validate assumptions made on the statistical model used in the analysis. The methods include: bounds on the performance of randomized estimators of a large ...

Quaternions: A Mathematica Package for Quaternionic Analysis

This paper describes new issues of the Mathematica standard package Quaternions for implementing Hamilton’s Quaternion Algebra. This work attempts to endow the original package with the ability to perform operations on symbolic expressions involving quaternion-valued functions. A collection of new functions is introduced in order to provide basic mathematical tools necessary for dealing with re...

Software Tools for the Analysis of Functional Magnetic Resonance Imaging

Functional magnetic resonance imaging (fMRI) has become the most popular method for imaging of brain functions. Currently, there is a large variety of software packages for the analysis of fMRI data, each providing many features for users. Since there is no single package that can provide all the necessary analyses for the fMRI data, it is helpful to know the features of each software package. ...

LCA of waste management systems: Development of tools for modelling and uncertainty analysis LCA of waste management systems: Development of tools for modelling and uncertainty analysis

Conceptual Uncertainty and Reasoning Tools

Problems of conceptual uncertainty have been dealt with in theories of formal logic. Such theories try to accommodate vagueness in two main ways. One is fuzzy logic that introduces degrees of truth. The other way of accommodating formal logic to vagueness is super valuations and its descendants. This paper studies a more inclusive class of reasoning support than formal logic. In the present app...