PPT-Homology, Orthology , and Trees

Benjamin J Liebeskind Postdoctoral Fellow UT Austin PIs Edward Marcotte Rick Aldrich How do we compare proteins across species Gravitropism defects Waardenburg syndrome Significantly . Multi-dimensional . Persistent Homology. Matthew L. Wright. Institute for Mathematics . and . its Applications. University of Minnesota. in collaboration with Michael . Lesnick. What is persistent homology?. a case study on transmembrane protein. Jia-Ming Chang. 2013-July-09. Chang, J-M, P Di Tommaso, J-. Fß. Taly, C Notredame. 2012. Accurate multiple sequence alignment of transmembrane proteins with PSI-Coffee. BMC Bioinformatics 13.. Yusu. . Wang. Ohio State University. AMS Short Course 2014. Introduction. Much recent developments in computational topology. Both in theory and in their applications. E.g. , the theory of persistence homology. Peter K. álnai. Autumn school.  . Department . of Algebra. Ústupky. , . 24th – 27th November 2016. Algebraic topology. “Don’t be afraid of these ideas – you see them for the first time. When you see them for the tenth time, you won’t be afraid any more. They will have been safely stored on the list of things that you simply don’t understand.” . Presenter: Ronen . Talmon. Topological Methods in Electrical Engineering and Networks. January 19, 2011. January 19, 2011. Manifold Learning via Homology. 2. Sources. P. . Niyogi. , S. . Smale. , and S. Weinberger, . Matthew L. Wright. Institute for Mathematics and its Applications. University of Minnesota. Preliminaries. Let . be a . simplicial. complex, and let . be the two-element field.. denotes the vector space generated by the . Sept 4, 2013. Clustering Via Persistent Homology. Creating a simplicial complex. Step 0.) Start by adding 0-dimensional vertices . (0-simplices). Creating a simplicial complex. 1. .) . A. dding . 1. AVL Trees 1 AVL Trees 6 3 8 4 v z AVL Trees 2 AVL Tree Definition Adelson- Velsky and Landis binary search tree balanced each internal node v the heights of the children of v can differ by at most 1 http://evolution.berkeley.edu/evolibrary/article/0_0_0/similarity_hs_01. Inherited Traits. People . look like one another for different reasons. Two sisters, for example, might look alike because they both inherited . Mark Ragan. Institute for Molecular Bioscience. and. . School of Information Technology & Electrical Engineering. The University of Queensland, Brisbane, Australia. IPAM Workshop on Multiple Sequence Alignment. Persistent Homology. Matthew L. Wright. Institute for Mathematics . and . its Applications. University of Minnesota. in collaboration with Michael . Lesnick. What is persistent homology?. e.g. components, holes, . Comparative study of . morphological and anatomical structures. of animals and plants also indicate that they are constructed on the same basic plan and they shows certain similarities.. Such similarities are observed in:. www.aaaai.org OAAC 522 v2017 Prove It!. Biogeography. Homologous and Analogous Structures. Fossil record. biogeography. The geographic distribution of plants and animals over the surface of the Earth. Pangaea. 270 million years ago all of the planet’s land mass was combined into one super continent.