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Minerva

Computation: Solving Problems with Algorithms

  • Final Project: Quotient filter implementation in Python (Bender et al., 2012).

Contemporary Applied Mathematics

  • Final Project: Single and multivariable PCA analysis, global polynomial interpolation on a reduced data set, (Liang, Li, Zhang, Huang, & Chen, 2016).
  • Image Compression and Processing: Singular Value Decomposition applied to a symmetric versus an asymmetric image using Octave.

Knowledge: Information Based Decisions

  • Final Project: Replication and extension of results in R (Hainmueller, Hiscox, & Sequeira, 2015).

Modern Computational Statistics

Principles of Advanced Mathematics

  • Part of Final Project: Encode and decode messages using the RSA cryptosystem in Sage (Judson, 2009).

References

Bender, M. A., Zadok, E., Farach-Colton, M., Johnson, R., Kraner, R., Kuszmaul, B. C., . . . Spillane, R. P. (2012). Don't Thrash: How to Cache your Hash on Flash. Proceedings of the VLDB Endowment,5(11), 1627-1637. doi:10.14778/2350229.2350275

Judson, T. W. (2009). Abstract Algebra: Theory and Applications. Retrieved from http://abstract.ups.edu/aata/

Hainmueller, J., Hiscox, M., & Sequeira, S. (2015). Consumer Demand for Fair Trade: Evidence from a Multi-Store Field Experiment. The Review of Economics and Statistics, 97(2),242-256. DOI:10.1162/REST_a_00467

Liang, X., Li, S., Zhang, S., Huang, H., and Chen, S. X. (2016). PM2.5 data reliability, consistency, and air quality assessment in five Chinese cities. Journal of Geophysical Research: Atmospheres, 121(17). doi:10.1002/2016jd024877

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