Notes

My Research Notes

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  1. The Log-Sum-Exp Trick πŸ“•
  2. Hidden Markov Model and Driving Behavior Modeling: From HMMs to Factorial HMMs to FHMM–IDM β€” a three-part primer πŸ“™πŸ“˜πŸ“—
  3. Bayesian inference and conjugate priors To be updated
  4. Prior settings matter in Bayesian inference (variance) To be updated
  5. Heterogeneity and Hierarchical Models πŸ“™
  6. Random Effects and Hierarchical Models in Driving Behaviors Modeling πŸ“™πŸ“˜
  7. Proof: unbiasedness of ordinary least squares (OLS) πŸ“•
  8. From ordinary least squares (OLS) to generalized least squares (GLS) πŸ“•
  9. Modeling Autocorrelation: FFT vs Gaussian Processes πŸ“™πŸ“•
  10. Gaussian Processes (GP) for Time Series Forecasting πŸ“™
  11. A Detailed Introduction to Gaussian Velocity Fields (GVF) Based on Gaussian Processes πŸ“™πŸ“˜πŸ“—
  12. Introduction to Autoregressive (AR) Processes πŸ“•
  13. Bayesian calibration of car-following models To be updated
  14. Connections among AR processes, Cochrane-Orcutt correction, Ornstein-Uhlenbeck processes, and Gaussian Processes πŸ“™πŸ“•πŸ“˜
  15. Matrix derivative of Frobenius norm involving Hadamard product πŸ“•
  16. γ€Šη€ΎδΌšεž‹δΊ€δΊ’δΈŽθ‡ͺεŠ¨ι©Ύι©ΆοΌšη»ΌθΏ°γ€‹ - Enzoηš„ζ–‡η«  - ηŸ₯乎 πŸ“˜πŸ“—
  17. ε€šθΎ“ε‡Ίι«˜ζ–―θΏ‡η¨‹ (multiple output GP) - Enzoηš„ζ–‡η«  - ηŸ₯乎 πŸ“™

Collected Online Blogs and Books (by other researchers)

  1. Bayesian Data Analysis
  2. Bayesian Neural Networks
  3. Pattern Recognition and Machine Learning (PRML)
  4. Spatiotemporal Data Modeling
  5. Probabilistic Artificial Intelligence
  6. 如何εŠͺεŠ›ζˆδΈΊδΈ€δΈͺ Top Ph.D. Student
  7. Sharpen your scientific plotting with an artist’s eye β€” plottie.art
  8. Optimization Bootcamp
  9. Tensor Decompositions for Data Science
  10. Color palettes β€” Paul Tol’s notes