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| − | + | Welcome to the [[STRUCTURES]] wiki. | |
| + | |||
| + | This wiki is currently centered around the [[exploratory project]] '''[[Mathematics and Data| EP Mathematics and Data]]''' and is meant to provide a platform for collaborative work on data analysis across the fields of pure mathematics and natural sciences. | ||
| + | |||
| + | # Purpose | ||
| + | |||
| + | The purpose of this wiki is to provide a public platform where people can learn about recent approaches to data analysis via topological and geometrical techniques. We see two main vantage points on the subject: | ||
| + | |||
| + | ## The foundations of topology and geometry are well known to most mathematicians, but less so to researchers in the natural sciences, who are the ones that might benefit from this new and exciting toolbox. To remedy this we provide introductory articles and collect the most important results of the underlying theory. | ||
| + | |||
| + | ## For applications of the mathematical formalism to real-life data, an implementation on computers is paramount. We collect information on existing software and give short introductions. | ||
| + | |||
| + | We hope that, in establishing this wiki from these two perspectives, researchers from both mathematics and natural sciences can approach each other more easily, laying ground for fruitful collaborations. | ||
| + | |||
| + | # Disclaimer | ||
| + | |||
| + | One goal of thi wiki is to help make information widely available and usefully related to other information. In this users and contributors are expected to follow traditional academic practice. | ||
| + | |||
| + | However, this Wiki is meant neither to be complete nor original. Whenever useful, respective references and pointers to the literature are given, providing further information to the reader. | ||
| + | |||
| + | # Structure of this wiki | ||
| + | |||
| + | In this Wiki a brief introduction to computational topological methods shall be given, be- | ||
| + | ginning with an example analysis. A primer on computational topology theory follows, in- | ||
| + | cluding the most important theorems of the topological constructions undertaken, leading | ||
| + | over to a few recent research examples, in which these methods are applied. Subsequently, | ||
| + | several numerical examples are given, which might serve as points of entry for individual | ||
| + | first steps with computational topology methods. | ||
| + | |||
| + | # Contributing to this wiki | ||
| + | |||
| + | Everyone is invited to contribute to this wiki. If your interested, simply create an account. | ||
Revision as of 14:10, 1 May 2019
Welcome to the STRUCTURES wiki.
This wiki is currently centered around the exploratory project EP Mathematics and Data and is meant to provide a platform for collaborative work on data analysis across the fields of pure mathematics and natural sciences.
- Purpose
The purpose of this wiki is to provide a public platform where people can learn about recent approaches to data analysis via topological and geometrical techniques. We see two main vantage points on the subject:
- The foundations of topology and geometry are well known to most mathematicians, but less so to researchers in the natural sciences, who are the ones that might benefit from this new and exciting toolbox. To remedy this we provide introductory articles and collect the most important results of the underlying theory.
- For applications of the mathematical formalism to real-life data, an implementation on computers is paramount. We collect information on existing software and give short introductions.
We hope that, in establishing this wiki from these two perspectives, researchers from both mathematics and natural sciences can approach each other more easily, laying ground for fruitful collaborations.
- Disclaimer
One goal of thi wiki is to help make information widely available and usefully related to other information. In this users and contributors are expected to follow traditional academic practice.
However, this Wiki is meant neither to be complete nor original. Whenever useful, respective references and pointers to the literature are given, providing further information to the reader.
- Structure of this wiki
In this Wiki a brief introduction to computational topological methods shall be given, be- ginning with an example analysis. A primer on computational topology theory follows, in- cluding the most important theorems of the topological constructions undertaken, leading over to a few recent research examples, in which these methods are applied. Subsequently, several numerical examples are given, which might serve as points of entry for individual first steps with computational topology methods.
- Contributing to this wiki
Everyone is invited to contribute to this wiki. If your interested, simply create an account.