Difference between revisions of "User:Dakota.Sullivan"
From REU@MU
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* Continued to work on research paper | * Continued to work on research paper | ||
− | ==== Friday, July | + | ==== Friday, July 31 ==== |
* Worked on presentation | * Worked on presentation | ||
* Worked on research paper | * Worked on research paper | ||
+ | * Tested MCMC algorithm | ||
+ | |||
+ | === Week 10 === | ||
+ | |||
+ | ==== Monday, August 3 ==== | ||
+ | * Met with Dr. Spiller | ||
+ | * Worked on presentation | ||
+ | * Tested MCMC algorithm |
Revision as of 20:29, 4 August 2015
Contents
Personal Info
Dakota Sullivan is a Computational Mathematics and Social Welfare and Justice double major at Marquette University.
Research Topic
Using statistical surrogates to estimate the behavior of storm surge during a hurricane or tropical storm. See here for more details.
Milestones
Weekly milestones can be found on our main project page, located here.
Daily Log
Week 1 (6/1 - 6/5)
Monday, June 1
- Attended introductory session; learned about REU program
- Met with Dr. Spiller and research group members
- Attended Systems lab orientation with Dr. Dennis Brylow
- Took pre-REU NSF survey
- Began introductory reading on Gaussian Stochastic Process
Tuesday, June 2
- Toured campus
- Filed paperwork with HR
- Attended library resources orientation with Heather James
- Met with Dr. Spiller
Wednesday, June 3
- Installed Python
- Met with Dr. Spiller to review Gaussian Stochastic Process
- Met with Dr. Brylow to learn about Marquette email and time keeping
- Tested optimization routines in Python
Thursday, June 4
- Determined routine for plotting in Python
- Attended talk by Dr. Factor
- Met with Dr. Spiller
- Determined research goals and project timeline
- Continued developing optimization routine and plotting algorithms
Friday, June 5
- Met with research group to finalize optimization algorithm
- Reviewed objectives of project
- Documented Goals and Milestones
- Downloaded LaTex
Week 2 (6/5 - 6/12)
Monday, June 8
- Met with Dr. Spiller
- Created methods to begin modeling maximum likelihood equation
- Developed a plot of our approximation in Python
Tuesday, June 9
- Created maximum likelihood function
- Worked through difficulties with singularity in our matrices
- Plotted approximation of theta optimization
Wednesday, June 10
- Corrected errors in the maximum likelihood function
- Determined optimal theta value
- Modified maximum likelihood equation to optimize multiple variables
Thursday, June 11
- Developed variance function
- Listened to sample presentation by Dr. Factor
- Met with Dr. Spiller, updated her on our progress and discussed paper by Westerink et al.
Friday, June 12
- Modified code to account for all approximated variables
- Tested our approximation methods for other functions
- Began reading Westerink et al.
Week 3
Monday, June 15
- Read through research paper (Westerink et al.)
Tuesday, June 16
- Met with Dr. Spiller
- Introduced to additional notes on GaSP
- Attended talk by Dr. Brylow
Wednesday, June 17
- Compared previous and new maximum likelihood equations
- Began developing a least squares model for our approximation
- Met with Dr. Spiller to discuss new maximum likelihood equation
Thursday, June 18
- Completed Responsible Conduct of Research (RCR) training
- Began implementing new maximum likelihood equation
- Integrated least squares model into maximum into approximation
Friday, June 19
- Finalized implementation of least squares model
- Tested approximation with multiple functions and inputs
- Added reference prior to maximum likelihood equation
- Met with Dr. Spiller
- Watched RCR training videos
Week 4
Monday, June 22
- Modified approximation function to allow multiple dimensions
- Developed algorithm to import test data
- Updated personal wiki page
Tuesday, June 23
- Tested import algorithm
- Met with Dr. Spiller
- Searched for errors in code
- Modified m(x) and v(x)
Wednesday, June 24
- Began optimizing theta for multiple dimensions
- Created algorithm for n-1 linear regressions
Thursday, June 25
- Met with Dr. Spiller
- Attended talk by Dr. Spiller
- Modified Linear Regression
- Plotted new approximation
Friday, June 26
- Tested various functions with approximation
- Cleaned/commented code
- Began optimization for n dimensions
Week 5
Monday, June 29
- Tested n-dimensional case with three parameters
- Outlined presentation
Tuesday, June 30
- Met with Dr. Spiller
- Worked on presentation
Wednesday, July 1
- Worked on presentation
- Read “A Framework for Validation of Computer Models”
Thursday, July 2
- Finalized presentation
- Attended presentations
Week 6
Monday, July 6
- Met with Dr. Spiller
- Read through Step 5 of “A Framework for Validation of Computer Models”
- Identified unknowns in process
Tuesday, July 7
- Planned out MCMC example solution
- Programmed MCMC solution
Wednesday, July 8
- Worked on MCMC Weibull Example
- Read through “Posterior Models and MCMC”
- Worked on Beetle Mortality Example
Thursday, July 9
- Met with Dr. Spiller
- Work Lunch
- Altered Code for Weibull Example
- Plotted posterior function against MCMC histogram
Friday, July 10
- Attempted to use GaSP Approximation to determine bias function
- Obtained estimate for bias
- Finished Weibull Example
Week 7
Monday, July 13
- Updated Wiki
- Completed RCR quizzes
- Identified problems in current code
- Met with Dr. Spiller
- Attempted to remove noise from function approximation
Tuesday, July 14
- Completed thinning algorithm
- Verified accuracy of MCMC method
- Searched for errors within bias function
- Met with Dr. Spiller
Wednesday, July 15
- Searched for cause of high variance
- Adjusted minpoint method
- Printed all variance values
- Plotted optimization function
- Verified that problem exists within the maxprior function
Thursday, July 16
- Met with Dr. Spiller
- Plotted approximation without prior
- Tested x matrix as a vector of ones
- Work lunch and presentation
Friday, July 16
- Determined correct alpha values
Week 8
Monday, July 20
- Met with Dr. Spiller
- Tested alpha values for approximation and bias functions
- Started outline for poster
Tuesday, July 21
- Reviewed Bayari paper
- Worked on presentation
Wednesday, July 22
- Met with Dr. Spiller
- Fixed maximum likelihood equation
- Created MCMC algorithm
Thursday, July 23
- Worked on latin hypercube algorithm
- Work lunch and talk
- Modified MCMC algorithm to work with two dimensions
Friday, July 24
- Modified MCMC algorithm for n dimensions
- Worked on presentation
Week 9
Monday, July 27
- Worked on presentation
Tuesday, July 28
- Worked on presentation
- Outlined research paper
Wednesday, July 29
- Finalized presentation
- Worked on abstract
Thursday, July 30
- Worked on research paper
- Submitted abstract
- Met with Dr. Spiller
- Work lunch
- Continued to work on research paper
Friday, July 31
- Worked on presentation
- Worked on research paper
- Tested MCMC algorithm
Week 10
Monday, August 3
- Met with Dr. Spiller
- Worked on presentation
- Tested MCMC algorithm