Principal Curves
September 28, 2020
This post is mainly based on Hastie, T., & Stuetzle, W. (1989). Principal Curves. Journal of the American Statistical Association.
Particle Tracking as Linear Assignment Problem
September 24, 2020 (Update: )
Global Tracking via the Viterbi Algorithm
August 27, 2020
An objective comparison of cell-tracking algorithms
August 21, 2020
Noise Adaptive Group Testing
July 30, 2020
This note is for Cuturi, M., Teboul, O., Berthet, Q., Doucet, A., & Vert, J.-P. (2020). Noisy Adaptive Group Testing using Bayesian Sequential Experimental Design.
Eleven Challengs in Single Cell Data Science
June 08, 2020 (Update: )
Survey on Time Series Change Points
May 31, 2020
This note is based on the survey paper, Aminikhanghahi, S., & Cook, D. J. (2017). A Survey of Methods for Time Series Change Point Detection. Knowledge and Information Systems, 51(2), 339–367.
Internal migration and transmission dynamics of tuberculosis
April 30, 2020
CFPCA for Human Movement Data
April 26, 2020 (Update: )
Robust Forecasting by Functional Principal Component Analysis
April 25, 2020
This post is based on Hyndman, R. J., & Shahid Ullah, Md. (2007). Robust forecasting of mortality and fertility rates: A functional data approach. Computational Statistics & Data Analysis, 51(10), 4942–4956.
Survey on Functional Principal Component Analysis
April 25, 2020
This post is based on Shang, H. L. (2014). A survey of functional principal component analysis. AStA Advances in Statistical Analysis, 98(2), 121–142.
Bootstrap Sampling Distribution
March 05, 2020
This note is based on Lehmann, E. L., & Romano, J. P. (2005). Testing statistical hypotheses (3rd ed). Springer.
Common Functional Principal Components
February 29, 2020 (Update: )
This post is based on Benko, M., Härdle, W., & Kneip, A. (2009). Common functional principal components. The Annals of Statistics, 37(1), 1–34.
Common Principal Components
February 28, 2020
This post is based on Flury (1984).
Bernstein-von Mises Theorem
February 24, 2020
I came across the Bernstein-von Mises theorem in Yuling Yao’s blog, and I also found a quick definition in the blog hosted by Prof. Andrew Gelman, although this one is not by Gelman. By coincidence, the former is the PhD student of the latter!
Equicorrelation Matrix
February 22, 2020 (Update: )
kjytay’s blog summarizes some properties of equicorrelation matix, which has the following form,
Multiple Isotonic Regression
February 20, 2020
The first two sections are based on a good tutorial on the isotonic regression, and the third section consists of the slides for the talk given by Prof. Cun-Hui Zhang at the 11th ICSA International Conference on Dec. 21st, 2019.
Statistical Inference with Unnormalized Models
February 10, 2020 (Update: )
This post is based on the talk given by T. Kanamori at the 11th ICSA International Conference on Dec. 22nd, 2019.
Registration Problem in Functional Data Analysis
January 21, 2020 (Update: )
This post is based on the seminar, Data Acquisition, Registration and Modelling for Multi-dimensional Functional Data, given by Prof. Shi.
Generalized Matrix Decomposition
January 17, 2020 (Update: )
This post is based on the talk given by Dr. Yue Wang at the Department of Statistics and Data Science, Southern University of Science and Technology on Jan. 04, 2020.
Rademacher Complexity
January 16, 2020 (Update: )
This post is based on the material of the second lecture of STAT 6050 instructed by Prof. Wicker, and mainly refer some more formally description from the book, Mehryar Mohri, Afshin Rostamizadeh, Ameet Talwalkar - Foundations of Machine Learning-The MIT Press (2012).
Classification with Imperfect Training Labels
January 15, 2020
This post is based on the talk, given by Timothy I. Cannings at the 11th ICSA International Conference on Dec. 22th, 2019, the corresponding paper is Cannings, T. I., Fan, Y., & Samworth, R. J. (2019). Classification with imperfect training labels. ArXiv:1805.11505 [Math, Stat]
NGS for NGS
January 11, 2020 (Update: )
This post is based on the talk, Next-Generation Statistical Methods for Association Analysis of Now-Generation Sequencing Studies, given by Dr. Xiang Zhan at the Department of Statistics and Data Science, Southern University of Science and Technology on Jan. 05, 2020.
Concentration Inequality for Machine Learning
January 09, 2020
This post is based on the material of the first lecture of STAT6050 instructed by Prof. Wicker.
Gradient-based Sparse Principal Component Analysis
January 05, 2020 (Update: )
This post is based on the talk, Gradient-based Sparse Principal Component Analysis, given by Dr. Yixuan Qiu at the Department of Statistics and Data Science, Southern University of Science and Technology on Jan. 05, 2020.
DNA copy number profiling: from bulk tissue to single cells
January 02, 2020
This post is based on the talk given by Yuchao Jiang at the 11th ICSA International Conference on Dec. 20th, 2019.
Quantitative Genetics
December 21, 2019 (Update: )
This post is based on the Pao-Lu Hsu Award Lecture given by Prof. Hongyu Zhao at the 11th ICSA International Conference on Dec. 21th, 2019.
CEASE
December 20, 2019 (Update: )
This post is based on the Peter Hall Lecture given by Prof. Jianqing Fan at the 11th ICSA International Conference on Dec. 20th, 2019.
Group Inference in High Dimensions
December 17, 2019 (Update: )
This post is based on the slides for the talk given by Zijian Guo at The International Statistical Conference In Memory of Professor Sik-Yum Lee
Lagrange Multiplier Test
December 17, 2019
This post is based on Peter BENTLER’s talk, S.-Y. Lee’s Lagrange Multiplier Test in Structural Modeling: Still Useful? in the International Statistical Conference in Memory of Professor Sik-Yum Lee.