Curiosity is the fundamental driving force of all my research. Based on empirical data, I am trying to understand the underlying mechanism of everything, from cosmos to humans. My research covers the following main topics and you can navigate to the details by clicking the hyperlinks. 

• Educational measurement

  • Item Response Theory, Classical Testing Theory, Test Design

  • Evidence Centered Design (design games/simulations for assessment purpose)

  • Data Mining and Analytics in Game/Simulation-Based Assessment

  • Assessment of Collaborative Problem Solving and Teamwork

  • Data Model Design for Log files from G/SBAs

  • Development of Tools for Assessment Analytics

  • Natural Language Processing

    • Automated scoring/annotation, Sequential annotation

    • Text mining, Sentiment Analysis

  • Keystroke analysis for essay writing

• Data mining/Statistical analysis/scientific computing

  • Measurement error corrected gaussian mixture model

  • Machine learning algorithms, cluster analysis, Mixture Model, Hidden Markov Model, State Space Model

  • Linear/Nonlinear regression, Logistic Regression, Generalized Linear Regression, Bayesian Regression

  • Sequential Data Analysis/Time Series, Dynamical Linear Modeling, Dynamical Bayesian Network

  • Stochastic Process, Random Field, Markov Chain Monte Carlo, Monte Carlo Simulation, Gaussian Process Regression

  • Statistical/Mathematical Modeling, Model estimation

• Digital image device & image analysis

  • CCD (charge coupling device) testing/calibration

  • Astronomical image segmentation, registration, pattern recognition

  • Image quality and point spread function measurement

  • Image based precision measurement

• Theoretical physics/Astrophysics/Cosmology

  • Cosmology, Dark energy dynamics

  • Galaxy cluster identification, cluster cosmology, galaxy alignment

  • Non-topological soliton

  • Quasi-normal mode of stringy black hole

  • Dynamical system and differential equations