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I am an undergraduate student studying at School of Data Science, Fudan University. My research interests include statistical learning, non-parametric statistics and high-dimensional statistics. I plan to share some topics I have been learning on this website.
Notes
Sub-Gaussian variables and empirical processes
Energy distance, maximum mean discrepancy and f-divergence
A derivation of non-central chi-square density
Transportability and data fusion in causal inference
Selected topics of spatial statistics
General topology: technical notes
Fundementals of functional analysis
Further topics in Measure Theory
An elementary proof of minimax theorem
Posts
Kalman Filtering
Vector-Valued RKHS
Fano’s Method
F-divergences
Proper Scoring Rules
Support Points
Bayesian Optimization for Inverse Problems
Global-Local Gaussian Process
Contextual Bandits with Confounding Bias and Missing Observations
Concentration of Self-Normalized Processes
Pessimism in Offline RL
Reinforcement Learning: Multi-Armed Bandit Problem with Unobserved Confounders
Reinforcement Learning: Markov Decision Process with Prior Causal Knowledge
Combining Experimental and Observational Data (II)
Combining Experimental and Observational Data (I)
Causal Inference: General Transportability
Causal Inference: Negative Control
Causal Inference: Meta-Transportability
Structural Causal Models (II): Selection Bias and Transportability
Structural Causal Models (I): Formulation and Confounding Bias
Spatial Statistics (VII): Karhunen-Loève Expansion
Spatial Statistics (VI): Kernel Ridge Regression
Spatial Statistics (V): Reproducing Kernel Hilbert Space
Spatial Statistics (IV): Kriging
Spatial Statistics (III): Gaussian Process
Spatial Statistics (II): Kernel Functions
Spatial Statistics (I): Random Field
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