WeiYa's Work Yard

A dog, who fell into the ocean of statistics, tries to write down his ideas and notes to save himself.

The Kalman Filter and Extended Kalman Filter

January 21, 2019

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Sequential Monte Carlo Methods

January 19, 2019

This note is for Section 3 of Doucet, A., & Johansen, A. M. (2009). A tutorial on particle filtering and smoothing: Fifteen years later. Handbook of Nonlinear Filtering, 12(656–704), 3., and it is the complement of my previous post.

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Particle Filtering and Smoothing

January 18, 2019 0 Comments

This note is for Doucet, A., & Johansen, A. M. (2009). A tutorial on particle filtering and smoothing: Fifteen years later. Handbook of Nonlinear Filtering, 12(656–704), 3. For the sake of clarity, I split the general SMC methods (section 3) into my next post.

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PLS in High-Dimensional Regression

January 15, 2019

This note is based on Cook, R. D., & Forzani, L. (2019). Partial least squares prediction in high-dimensional regression. The Annals of Statistics, 47(2), 884–908.

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Approximate $\ell_0$-penalized piecewise-constant estimate of graphs

January 13, 2019

This note is for Fan, Z., & Guan, L. (2018). Approximate $\ell_{0}$-penalized estimation of piecewise-constant signals on graphs. The Annals of Statistics, 46(6B), 3217–3245.

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Reversible jump Markov chain Monte Carlo

January 10, 2019

The note is for Green, P.J. (1995). “Reversible Jump Markov Chain Monte Carlo Computation and Bayesian Model Determination”. Biometrika. 82 (4): 711–732.

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Reconstruct Gaussian DAG

January 09, 2019

This note is based on Yuan, Y., Shen, X., Pan, W., & Wang, Z. (n.d.). Constrained likelihood for reconstructing a directed acyclic Gaussian graph. Biometrika.

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Link-free v.s. Semiparametric

January 08, 2019

This note is based on Li (1991) and Ma and Zhu (2012).

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Jackknife and Mutual Information

January 07, 2019

The jackknife is based on Wasserman (2006) and Efron and Hastie (2016), while the Jackknife estimation of Mutual Information is based on Zeng et al. (2018).

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Counting Process Based Dimension Reduction Methods for Censored Data

January 06, 2019

The note is for Sun, Q., Zhu, R., Wang, T., & Zeng, D. (2017). Counting Process Based Dimension Reduction Methods for Censored Outcomes. ArXiv:1704.05046 [Stat].

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SIR and Its Implementation

January 05, 2019 0 Comments

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Small World inside Large Metabolic Networks

January 02, 2019

The note is for Wagner, A., & Fell, D. A. (2001). The small world inside large metabolic networks. Proceedings of the Royal Society of London B: Biological Sciences, 268(1478), 1803-1810..

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Metabolic Network and Their Evolution

December 31, 2018

The note is for Chapter 2 of Soyer, Orkun S., ed. 2012 Evolutionary Systems Biology. Advances in Experimental Medicine and Biology, 751. New York: Springer.

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Evolutionary Systems Biology

December 30, 2018

The note is for Chapter 1 of Soyer, Orkun S., ed. 2012 Evolutionary Systems Biology. Advances in Experimental Medicine and Biology, 751. New York: Springer.

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Gibbs in genetics

August 24, 2018

The note is for Gilks, W. R., Richardson, S., & Spiegelhalter, D. (Eds.). (1995). Markov chain Monte Carlo in practice. CRC press..

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ECOC

August 18, 2018

The note is for Dietterich, T. and Bakiri, G. (1995). Solving multiclass learning problems via error-correcting output codes, Journal of Artificial Intelligence Research 2: 263–286..

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Metabolic Network

August 08, 2018

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Power Analysis

December 27, 2017 0 Comments

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Model-Free Scoring System for Risk Prediction

October 17, 2017 0 Comments

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Essentials of Survival Time Analysis

October 11, 2017 0 Comments

This post aims to clarify the relationship between rates and probabilities.

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Stochastic Epidemic Models

October 11, 2017 0 Comments

Discuss three different methods for formulating stochastic epidemic models.

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An R Package: Fit Repeated Linear Regressions

September 26, 2017 0 Comments

Repeated Linear Regressions refer to a set of linear regressions in which there are several same variables.

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A Faster Algorithm for Repeated Linear Regression

September 21, 2017 0 Comments

Repeated Linear Regression means that repeat the fitting of linear regression for many times, and there are some common parts among these regressions.

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Persistence of species in the face of environmental stochasticity

September 18, 2017 0 Comments

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Chain-Structured Models

September 08, 2017 0 Comments

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Basic Principles of Monte Carlo

September 07, 2017 0 Comments

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The Applications of Monte Carlo

September 07, 2017 0 Comments

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Dynamics of Helicobacter pylori Infection

September 02, 2017 0 Comments

This post is the notes of this paper.

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Healthy Human Microbiome

September 02, 2017 0 Comments

This post is the notes of this paper.

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Dynamics of Helicobacter pylori colonization

September 01, 2017 0 Comments

This post is the notes of this paper.

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