"I find this a nice introduction to the topic of data analysis using topological features of data: http://normaldeviate.wordpress.com/2012/07/01/topological-data-analysis/
Vanessa Robins (http://people.physics.anu.edu.au/~vbr110/) did lots of…"
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Topological Approach to Data Mining
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I am NOT an academic nor a graduate tudent somewhere. However, I read books on Topology out of personal interest. Does anyone here have any interesting links or white papers on using mathematical…Continue
Tags: Topology
Started this discussion. Last reply by kaustubh kaluskar Aug 13, 2012.
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Josh Roberts replied to Peter Chen's discussion Topological Approach to Data Mining
"Algebraic topology associates algebraic invariants (integers, groups, rings, etc) to topological spaces. The field of applied algebraic topology is relatively new and is relevant to this question, I think. The "Topology and Data" by Gunnar…"
Lance Olson replied to Peter Chen's discussion Topological Approach to Data Mining
"Peter,
Thanks for sharing. I wonder if the database is publicly available to review. Simplistically, I would like to see a world map with circles on it - the size of the circles would represent the number of bombs dropped. I got…"
Peter Chen replied to Peter Chen's discussion Topological Approach to Data Mining
"Lance,
Interesting article on some Air Force officer compiling (DE-CLASSIFIED hopefully) every record of bombs dropped since WW1.
http://news.yahoo.com/blogs/sideshow/air-force-officer-creates-database-every-u-bomb-190227673.html
This can…"
Peter Chen replied to Peter Chen's discussion Topological Approach to Data Mining
"Contrare, Lance. The example was fine. You just wet my appetite more so. The game theory thing is something worth exploring. I would love to borrow the Munkre book from soem college book store, as on Amazon it's over…"
Lance Olson replied to Peter Chen's discussion Topological Approach to Data Mining
"The application of topological spaces covers a very wide area of interests, including economics - my favorite. Topology, with respect to economics, is used in consumer preferences, utility and individual/society choice. The topology…"
Peter Chen replied to Peter Chen's discussion Topological Approach to Data Mining
"Thanks, Vince. The only BASIC understanding I got recently was in the Tan, Steinbach and Kumar book, "Introduction to Data Mining" (Pearson Education, 2006), Section 7.5.4 (Candidate Generation). The clustering problems must…"
Vincent Granville replied to Peter Chen's discussion Topological Approach to Data Mining
"Topology can be related to clustering problems through Voronoi diagrams and tessellations, in particular in the context of keyword taxonomy building in small dimensions. Jean-Yves Dexmier has developed business applications based on…"
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Topological Approach to Data Mining
I am NOT an academic nor a graduate tudent somewhere. However, I read books on Topology out of personal interest. Does anyone here have any interesting links or white papers on using mathematical topological (metric space, etc.) approaches to data mining. After wtaching some PBS series on mathematics, I am also interested in looking at Euler's formulas for data mining as well. See More
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