Skewers, the Carnegie Classification, and the Hybrid Bootstrap
| dc.contributor.advisor | Scott, David W | |
| dc.creator | Kosar, Robert | |
| dc.date.accessioned | 2019-05-16T20:53:17Z | |
| dc.date.available | 2019-05-16T20:53:17Z | |
| dc.date.created | 2017-12 | |
| dc.date.issued | 2017-11-30 | |
| dc.date.submitted | December 2017 | |
| dc.date.updated | 2019-05-16T20:53:17Z | |
| dc.description.abstract | Principal component analysis is an important statistical technique for dimension reduction and exploratory data analysis. However, it is not robust to outliers and may obfuscate important data structure such as clustering. We propose a version of principal component analysis based on the robust L2E method. The technique seeks to find the principal components of potentially highly non-spherical distribution components of a Gaussian mixture model. The algorithm requires neither specification of the number of clusters nor estimation of a full covariance matrix in order to run. The Carnegie classification is a decades-old (updated approximately every five years) taxonomy for research universities. However, it is based on questionable statistical methodology and suffers from a number of issues. We present a criticism of the Carnegie methodology, and offer two alternatives that are designed to be consistent with Carnegie's goals but also more statistically sound. We also present a visualization application where users can explore both the Carnegie system and our proposed systems. Preventing overfitting is an important topic in the field of machine learning, where it is common or even mundane to fit models with millions of parameters. One of the most popular algorithms for preventing overfitting is dropout. We present a drop-in replacement for dropout that offers superior performance on standard benchmark datasets and is relatively insensitive to hyperparameter choice. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | Kosar, Robert. "Skewers, the Carnegie Classification, and the Hybrid Bootstrap." (2017) Diss., Rice University. <a href="https://hdl.handle.net/1911/105553">https://hdl.handle.net/1911/105553</a>. | |
| dc.identifier.uri | https://hdl.handle.net/1911/105553 | |
| dc.language.iso | eng | |
| dc.rights | Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder. | |
| dc.subject | Clustering | |
| dc.subject | Principal Component Analysis | |
| dc.subject | University Rankings | |
| dc.subject | Regularization | |
| dc.title | Skewers, the Carnegie Classification, and the Hybrid Bootstrap | |
| dc.type | Thesis | |
| dc.type.material | Text | |
| thesis.degree.department | Statistics | |
| thesis.degree.discipline | Engineering | |
| thesis.degree.grantor | Rice University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Doctor of Philosophy |
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