· Xiaojing Yang · Statistics
Linear Regression as a Statistical Model
Linear regression is more than a line: it is a model of signal, noise, assumptions, and explanation.
Blog
Foundations and research notes on mathematics, statistics, machine learning, NLP, LLMs, model evaluation, and applied AI systems.
- · Xiaojing Yang · NLP and LLMs
LLM Evaluation and Failure Modes
A practical map of LLM evaluation risks: hallucination, prompt sensitivity, bias, contamination, and brittle benchmarks.
- · Xiaojing Yang · Statistics
MAP Estimation and Bayesian Thinking
MAP estimation shows how prior beliefs and observed evidence combine.
- · Xiaojing Yang · Statistics
Maximum Likelihood Estimation: Why Models Learn Parameters
Maximum likelihood connects probability models to parameter learning.
- · Xiaojing Yang · Machine Learning
Metrics Beyond Accuracy
Accuracy is easy to understand, but often wrong for imbalanced, ranked, or cost-sensitive tasks.
- · Xiaojing Yang · Machine Learning
Model Selection: A Practical Guide
Model selection is the disciplined process of choosing among models without fooling yourself.