tag:blogger.com,1999:blog-6555947.post1451378175113158040..comments2020-01-24T07:01:51.233-07:00Comments on The Geomblog: What is computational topology ?Suresh Venkatasubramanianhttp://www.blogger.com/profile/15898357513326041822noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-6555947.post-66234708828282605612009-12-02T10:07:43.028-07:002009-12-02T10:07:43.028-07:00Actually, it's more that I understood that wor...Actually, it's more that I understood that work at one point, and have since forgotten. It didn't seem particularly inaccessible to me when I read it the first time: maybe I'll do a post on it sometime.Sureshhttps://www.blogger.com/profile/15898357513326041822noreply@blogger.comtag:blogger.com,1999:blog-6555947.post-51361351605485667392009-12-02T10:01:00.425-07:002009-12-02T10:01:00.425-07:00Your remark on the work of Herlihy et al. was inte...Your remark on the work of Herlihy et al. was interesting: I've never understood it either, but I have no background in topology. I have seen no writeups of this work by anyone other than the authors of the original papers (though there has been followup work by others), and I wonder whether <em>anyone</em> actually understands it.<br /><br />Did you not understand the Herlihy work because you didn't try, or did you make the effort and still not succeed? Just curious...Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6555947.post-43918533622561978382009-11-10T04:28:17.143-07:002009-11-10T04:28:17.143-07:00What about Algebraic Geometry? It has considerably...What about Algebraic Geometry? It has considerably more algorithms that Algebraic Topology and can also be seen as more fundamental.<br /><br />We of course all know now a days about Mulmuley. But is Algebraigc Geometry also useful for mining for patterns in data? For example Algebraic Statistics started by Sturmfels and Diaconis (who also participates in Computational Topology group at Stanford) tries to reason about graphical models observing they are sort of algebraic varieties and applying vast algorithmic machinery that comes with these.<br /><br />Has anything came out of this?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6555947.post-18748338903762526012009-11-02T07:58:49.073-07:002009-11-02T07:58:49.073-07:00ghrist also has a large program on applied topolog...ghrist also has a large program on applied topology in wireless sensor networks, and his 'euler calculus'<br /><br />http://www.math.uiuc.edu/~ghrist/Anonymousnoreply@blogger.com