Topological Methods for Data Fusion
https://doi.org/10.21236/ADA608839Abstract
Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports (0704-0188), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number.
References (18)
- Adcock, A., Carlsson, E., and Carlsson, G., The ring of algebraic functions on persistence bar codes, arXiv 1304.0530, 2013.
- Bowman, Gregory R.,Huang, Xuhui, Yao, Yuan, Sun, Jian, Carlsson, Gunnar, Guibas, Leonidas J. and Pande, Vijay S., Structural Insight into RNA Hairpin Folding Intermediates, Journal of the American Chemical Society, vol. 130, 30, 9676-9678, 2008.
- Carlsson, Gunnar, Ishkhanov, Tigran, de Silva, Vin, and Zomorodian, Afra, On the Local Behavior of Spaces of Natural Images, International Journal of Computer Vision, vol. 76, 1, 1-12, 2008.
- Carlsson, Gunnar, Topology and data, Bull. Amer. Math. Soc. (N.S.) 46 (2009), no. 2, 255-308
- Carlsson, Gunnar and de Silva, Vin Zigzag persistence, Found. Comput. Math. 10 (2010), no. 4, 367-405.
- Carlsson, Gunnar, de Silva, Vin, and Morozov, Dmitriy. Zigzag persistent homology and real- valued functions, In Proceedings of the twenty-fifth annual symposium on Computational ge- ometry (SCG '09). ACM, New York, NY, USA, 247-256, (2009).
- Carlsson, Gunnar and Zomorodian, Afra The theory of multidimensional persistence, Discrete Comput. Geom. 42 (2009), no. 1, 71-93.
- Chan, Joseph Minhow, Carlsson, Gunnar, and Rabadan, Raul Topology of viral evolution, Proc. Natl. Acad. Sci. USA 110 (2013), no. 46, 18566-18571.
- Chazal, Frederic, Cohen-Steiner, David, Guibas, Leonidas J, Mmoli, Facundo and Oudot, Steve Y., Gromov-Hausdorff Stable Signatures for Shapes using Persistence, Computer Graphics Forum, vol. 28, 5, 2009.
- De Silva,Vin and Carlsson, Gunnar, Topological estimation using witness complexes. In Pro- ceedings of the First Eurographics conference on Point-Based Graphics (SPBG'04), Marc Alexa, Markus Gross, Hanspeter Pfister, and Szymon Rusinkiewicz (Eds.). Eurographics As- sociation, Aire-la-Ville, Switzerland, Switzerland, 157-166, (2004).
- Lum, P. Y., Singh, G., Lehman, A., Ishkanov, T., Vejdemo-Johansson, Alagappan, M., Carls- son, J., Carlsson, G., Extracting insights from the shape of complex data using topology, Scien- tific Reports. 2013/02/07/online
- Nicolau, M., A. Levine, and G. Carlsson, Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival, Proceedings of the National Academy of Sciences, (2011).
- Perea, Jose A., and Carlsson, Gunnar, A Klein-Bottle-Based Dictionary for Texture Represen- tation, Int. J. Comput. Vis. 107 (2014), no. 1, 75-97.
- Romano, David, Nicolau, Monica, Quintin, Eve-Marie, Mazaika, Paul K., Lightbody, Amy A., Cody Hazlett, Heather, Piven, Joseph, Carlsson, Gunnar, Reiss, Allan L.,Topological methods reveal high and low functioning neuro-phenotypes within fragile X syndrome, Human Brain Mapping, May, 2014.
- G. Singh, F. Memoli, and G. Carlsson, Topological methods for the analysis of high dimensional data sets and 3D object recognition, Point Based Graphics 2007, Prague, September 2007.
- G Singh, F Memoli, T Ishkhanov, G Sapiro, G Carlsson, DL Ringach, Topological analysis of population activity in visual cortex, Journal of vision 8 (8), 2008
- Tausz, A. and Carlsson, G., Applications of zigzag persistence to topological data analysis, arXiv 11.08.3545
- Zomorodian, Afra and Carlsson, Gunnar, Computing persistent homology, Discrete Comput. Geom. 33 (2005), no. 2, 249-274.