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Algebraic Topology is the classical mathematical tool for the global analysis of nonlinear spaces and functions, within which homology is perhaps the most computable subset. In particular, it provides a well understood framework through which the information hidden in large datasets can be reduced to compact algebraic expressions that provide insight into underlying geometric structures and properties. Supported in part by grants from AFOSR. Website designed by Kate Mischaikow.

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Algebraic Topology is the classical mathematical tool for the global analysis of nonlinear spaces and functions, within which homology is perhaps the most computable subset. In particular, it provides a well understood framework through which the information hidden in large datasets can be reduced to compact algebraic expressions that provide insight into underlying geometric structures and properties. Supported in part by grants from AFOSR. Website designed by Kate Mischaikow.
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CHomP | chomp.rutgers.edu Reviews

https://chomp.rutgers.edu

Algebraic Topology is the classical mathematical tool for the global analysis of nonlinear spaces and functions, within which homology is perhaps the most computable subset. In particular, it provides a well understood framework through which the information hidden in large datasets can be reduced to compact algebraic expressions that provide insight into underlying geometric structures and properties. Supported in part by grants from AFOSR. Website designed by Kate Mischaikow.

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chomp.rutgers.edu chomp.rutgers.edu
1

CHomP Software

http://chomp.rutgers.edu/Software.html

This code is central to most of the activities and research projects associated with CHomP. Given a complex, it computes the associated homology. Given and multivalued map on top cells in the complex, it computes the induced map on homology. Here one can find code to convert data into complexes, compute persistence diagrams from filtrations, and work with collections of persistence diagrams.

2

CHomP Links

http://chomp.rutgers.edu/Links.html

CAPD - Computer Assisted Proofs in Dynamics Group. At the Jagiellonian University, Kraków, Poland. At the University of Pennsylvania. TMSCSC - Topological Methods in Scientific Computing, Statistics and Computer Science. GAIO - software for Global Analysis of Invariant Objects. At the Paderborn Institute for Scientific Computation. Rigorously Verified Computing for Infinite Dimensional Nonlinear Dynamics. Banff International Research Station. September 21-26, 2014. American Institute of Mathematics.

3

CHomP

http://chomp.rutgers.edu/index.html

Algebraic Topology is the classical mathematical tool for the global analysis of nonlinear spaces and functions, within which homology is perhaps the most computable subset. In particular, it provides a well understood framework through which the information hidden in large datasets can be reduced to compact algebraic expressions that provide insight into underlying geometric structures and properties. Supported in part by grants from AFOSR. Website designed by Kate Mischaikow.

4

CHomP People

http://chomp.rutgers.edu/People.html

Meet the rest of the team. University of São Paulo at São Carlos.

5

CHomP Projects

http://chomp.rutgers.edu/Project.html

The application of algebraic topology to large data sets from experimental data or generated by numerical computations requires efficient algorithms and software capable of computing Betti numbers, homology groups, persistent homology and induced maps on homology. The development of these tools is central to the Computational Homology Project. Databases for the Global Dynamics of Multiparameter Systems. Dynamic Signatures for Genetic Regulatory Networks.

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Research in Scientific Computing in Undergraduate Education

https://compmath.wordpress.com/about/∞-courses/mth499s13

Skip to search - Accesskey = s. Research in Scientific Computing in Undergraduate Education. MTH499 – EAS 621. I am happy that you sign up for my MTH499/EAS621 Spring 2013 CSUMS. Class This class is going to be different than regular class in the sense that you choose a topic, learn it as deep as you can, and present what you have learned to other students. You are expected to :. Do some numerical experiments with problem solving environment such as MATLAB, Mathematica, Maple, or other open source tools.

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Research in Scientific Computing in Undergraduate Education

https://compmath.wordpress.com/about/∞-courses/mth499f12

Skip to search - Accesskey = s. Research in Scientific Computing in Undergraduate Education. MTH499 – EAS 621. MTH499 – EAS 621 Fall 2012 Syllabus. I am happy that you sign up for my MTH499/EAS621 Fall 2012 CSUMS. Class This class is going to be different than regular class in the sense that you choose a topic, learn it as deep as you can, and present what you have learned to other students. You are expected to :. Read references to learn about history, interesting phenomena, and numerical techniques.

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Research in Scientific Computing in Undergraduate Education

https://compmath.wordpress.com/about/∞-courses/courses-fall-2010/mth499f10

Skip to search - Accesskey = s. Research in Scientific Computing in Undergraduate Education. MTH499 COMPUTATIONAL MATHEMATICS SEMINAR. I am happy that you sign up for my MTH499 Fall 2010 CSUMS. Class This class is going to be different than regular class in the sense that you choose a topic, learn it as deep as you can, and present what you have learned to other students. You are expected to :. Read references to learn about history, interesting phenomena, and numerical techniques. Make report in LaTeX.

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Research in Scientific Computing in Undergraduate Education

https://compmath.wordpress.com/about/∞-courses/courses-spring-2011/mth499s11

Skip to search - Accesskey = s. Research in Scientific Computing in Undergraduate Education. MTH499 COMPUTATIONAL MATHEMATICS SEMINAR. I am happy that you sign up for my MTH499 Spring 2011 CSUMS. Class In this class, you are expected to :. Do some numerical experiments with problem solving environment such as MATLAB, Mathematica, Maple, or other open source tools. Read references to learn about history, interesting phenomena, and numerical techniques. Write your research diary in your blog. Our CSUMS&#82...

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Research in Scientific Computing in Undergraduate Education

https://compmath.wordpress.com/about/∞-courses/mth499f09

Skip to search - Accesskey = s. Research in Scientific Computing in Undergraduate Education. MTH499 (02) COMPUTATIONAL MATHEMATICS SEMINAR. Instructor: Dr. Alfa Heryudono. I am happy that you sign up for my MTH499 Fall 2009 CSUMS. Class This class is going to be different than regular class in the sense that you choose a topic, learn it as deep as you can, and present what you have learned to other students. You are expected to :. Write your research diary in your blog. Make report in LaTeX. Deadline for...

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Research in Scientific Computing in Undergraduate Education

https://compmath.wordpress.com/about/∞-courses/workshopsm09

Skip to search - Accesskey = s. Research in Scientific Computing in Undergraduate Education. CSUMS SUMMER 2009 WORKSHOP. From July 15 to August 7 2009. Adam Hausknecht (Guest lecturer). Michael Ryan ( final report. Teaching Assistant: Daniel Higgs. Pictures: Workshop in Room 218 and SIAM Annual Meeting 2009 in Denver. Interdisciplinary Program in High Performance Computing (UMBC). Adventures in Academic Year Undergraduate Research – Kathryn Leonard. Centre for Experimental and Constructive Mathematics.

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Research in Scientific Computing in Undergraduate Education

https://compmath.wordpress.com/about/∞-courses/mth49902s09

Skip to search - Accesskey = s. Research in Scientific Computing in Undergraduate Education. MTH499 (02) COMPUTATIONAL MATHEMATICS SEMINAR. Instructor: Dr. Alfa Heryudono. I am happy that you sign up for my MTH499 Spring 2009 CSUMS. Class This class is going to be different than regular class in the sense that you choose a topic, learn it as deep as you can, and present what you have learned to other students. You are expected to :. Write your research diary in your blog. Make report in LaTeX. I strongly...

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Research in Scientific Computing in Undergraduate Education

https://compmath.wordpress.com/about/∞-courses/workshopsm11

Skip to search - Accesskey = s. Research in Scientific Computing in Undergraduate Education. CSUMS SUMMER 2011 WORKSHOP. Starting date: Monday June 13 2011. Class time: Monday – Thursday (12:00 – 5:00 pm), Group I Room 218. Saeja Kim and Yanlai Chen (June 13 – 16). Steve Leon and Yanlai Chen (June 20 – 23). Cheng Wang (June 27 – 30). Yanlai Chen (July 5 – 7). Yanlai Chen (July 11 – 14). Saeja Kim (July 18 – 21). Gary Davis (July 25 – 28). Gary Davis (August 1 – 4). Sumi Oldman ( final report. Computation...

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Research in Scientific Computing in Undergraduate Education

https://compmath.wordpress.com/about/∞-courses/mth499f11

Skip to search - Accesskey = s. Research in Scientific Computing in Undergraduate Education. MTH499 COMPUTATIONAL MATHEMATICS SEMINAR. I am happy that you sign up for my MTH499 Fall 2011 CSUMS. Class This class is going to be different than regular class in the sense that you choose a topic, learn it as deep as you can, and present what you have learned to other students. You are expected to :. Read references to learn about history, interesting phenomena, and numerical techniques. Make report in LaTeX.

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CHomP

Algebraic Topology is the classical mathematical tool for the global analysis of nonlinear spaces and functions, within which homology is perhaps the most computable subset. In particular, it provides a well understood framework through which the information hidden in large datasets can be reduced to compact algebraic expressions that provide insight into underlying geometric structures and properties. Supported in part by grants from AFOSR. Website designed by Kate Mischaikow.

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