PhD

PhD Candidate, Computer Engineering, Santa Clara University

Stephen’s PhD thesis research is focused on streaming OLAP.  Traditional data base schemas used for data warehousing are centered on the Star Schema, which cannot keep up with high ingest rates required for data streaming.  He has thus created a new type of database schema called the Stream Star Schema which is optimized for high input rates.

In addition, OLAP hypercubes are focused on data aggregates.  This is too limiting for security applications.  He has created a new type of hypercube called the Data Value Cube which links data values to data aggregates.

Master’s Degree

MS in Computer Science, Aurora University

Stephen’s master’s thesis focused on the area of machine learning.  He compared various polynomial learning techniques.  He applied hisresearch to the game of ScoreFour which is a three-dimensional tic-tac-toe that is four in a row.

Bachelor’s of Science Degree

BS in Mathematics, Pacific Lutheran University

Stephen’s Bachelor’s thesis was on Pafnuty Chebyshev’s approximate to polynomials. Chebyshev’s work is an extension of the quadratic equation which gives a formula for solving a polynomial of degree two.  Mathematicians have been unable to discover a similar equation for polynomials of higher degree.  Thus Chebyshev created an approximation theorem.