Difference between revisions of "Main Page"

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Welcome to the [[STRUCTURES]] wiki.
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<div style="font-size:162%; padding:.1em;">WELCOME TO [[STRUCTURES| STRUCTURES | EP Mathematics and Data]]</div>
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<div style="font-size:95%;"> a collaboration at the intersection of mathematics and data analysis based at Heidelberg University.</div>
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This wiki is centered around the [[STRUCTURES#Organization|exploratory project (EP)]] '''Mathematics and Data''' within [[STRUCTURES]] and is meant to provide a platform for information on data analysis across the fields of pure mathematics and natural sciences.
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If you want to find out more about these topics you can follow one of the links below
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* [[What is Topological Data Analysis? - A Primer]]
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* [[Introductory reading|Introductory Literature]]
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* [[Mathematical Background]]
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* [[List of Software]] and respective [[tutorials]]
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* [[Case Studies]]
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* [[Activities|Lectures, Talks and Seminars]]
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NEWS</h2>
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{{NextTalk}}
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To receive talk announcements and related information subscribe to our [https://lists.mathi.uni-heidelberg.de/cgi-bin/mailman/listinfo/structures-mathdata mailing list]
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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.
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</div>
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Current and Upcoming Activities</h2>
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{{Current and Upcoming Activities}}
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About</h2>
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Purpose
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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. To achieve this we follow two complementary approaches:
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* The foundations of topology and geometry are well known to most mathematicians, but less so to researchers in the natural sciences, who we believe might benefit greatly from incorporating related techniques into their toolbox. To remedy this we collect the most important elements of the underlying theory and provide introductory articles to the relevant subjects.
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* Analysing and handling real-life data is an art well-developed in the natural sciences, but may at times seem enigmatic to mathematicians, who usually are not exposed to large sets of data on a daily basis. It is apparent that an implementation of the theoretical ideas on computers is paramount for applications, so we provide a list of existing software and offer a number of short tutorials. We furthermore present case studies of real-life applications.
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We hope that in establishing this wiki from these two perspectives, researchers from both mathematics and natural sciences are provided with the relevant background to easily approach each other, laying ground for fruitful collaborations.
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Disclaimer</h3>
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One goal of this 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. Whenever useful, references for further reading are given, providing additional information to the reader.  
  
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== Purpose ==
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Nonetheless, this wiki is meant neither to be complete nor original.
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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
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</div>
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* 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
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* 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.
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<h3 style="margin:0.5em; font-family:inherit; font-size:110%; font-weight:bold; padding:0.2em 0.4em;">
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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.
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Contributing to this wiki</h3>
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Everyone is invited to contribute to this wiki. If you are interested, get in touch with us via mail:
  
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== Structure of this wiki ==
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[mailto:structures-hiwi@mathi.uni-heidelberg.de structures-hiwi@mathi.uni-heidelberg.de]
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In this Wiki a brief introduction to computational topological methods shall be given, beginning with an example analysis. A primer on computational topology theory follows, including 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.
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== Contributing to this wiki ==
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Everyone is invited to contribute to this wiki. If your interested, simply create an account.
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__NOTOC__
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== Disclaimer ==
 
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One goal of this 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.
 
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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.
 

Latest revision as of 12:59, 23 May 2020

a collaboration at the intersection of mathematics and data analysis based at Heidelberg University.
Retrieved from "https://wiki.structures.mathi.uni-heidelberg.de/index.php?title=Main_Page&oldid=472"