Portfolio

• Select Projects
• My Code Repositories

---

Select Projects

Please click on a project’s title above its thumbnail for a detailed report/demonstration.

Data-Adaptive, Time-Local Methodology for Numerical Modeling of Nonlinear Nonstationary Dynamical Systems

• Developed a bootstrapping procedure for Bayesian model selection in design of bandwidth-adaptive FIR filters to predict the unknown external input of dynamical systems from their response time-series

• As an application to fluid-dynamic systems, utilized time-frequency analysis and trend filtering on the estimated external forces acting on cylinders in flow-induced oscillations

• Extracted nonlinear, nonstationary patterns of driving processes pertinent to higher harmonics of fluid-structure interaction that are excluded in conventional linear theory

---

Structure Discovery And Pattern Recognition Using Gaussian Process Regression

• Developed Gaussian Process Regression algorithms in MATLAB for automated structure discovery in time-series through compositional kernel search

• The search procedure automatically recognizes a space of composite kernel structures which captures underlying patterns in data and enables long-range extrapolation, while optimally deciding proper model complexity using Bayesian Information Criterion

• Fully functional with Gaussian Processes for Machine Learning Toolbox, currently under development for pattern recognition in financial time-series

---

Data Handling Tutorial in MATLAB

35-minute tutorial ( video and code report ) on Data Handling Basics in MATLAB for ENG101: INTRODUCTION TO COMPUTERS AND PROGRAMMING class offered at the University of Michigan. The following topics are demonstrated:

• Loading and displaying data from a space-delimited file
• Plotting data
• Pre-processing, cleaning and estimating values for unclean data
• Vectorized vs. looped code writing

During the demonstration of the topics above, core programming concepts covered are: Array Manipulation, Random Number Generation, Linear & Logical Indexing, Code Vectorization.

---

My Code Repositories

Please click on a title above the blockquotes to access the related GitHub repository

• Bayes Factors for Model Selection in Multivariate Regression

  Null-based Bayes Factor computation for evidence quantification and model selection through Bayesian hypothesis testing in Multivariate Regression designs

• LPSD Algorithm

  Improved spectrum and spectral density estimation by Fourier transforms at log-scaled frequencies

• simRes: Event Driven Simulation

  An event-driven restaurant simulator with randomized customer arrival and service times drawn from probability distributions. Utilizes personally developed Sorted Doubly Linked List and Queue templated classes.

  Statistical accumulations such as the longest line, average service and waiting times, as well as the percentages of server busy time, customers served and customers waited in line are computed and reported.

  Sample simulation output and report for memory leak check

• Networked Battleship Game

  Networked Battleship Game written by using socket programming principles. The game can be played between two remote players using client-server communication or against the PC as a single player.

  Project presentation and the algorithm flow

---

---