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10 posts tagged with "math"

Elo vs Bradley-Terry: Which is Better for Comparing the Performance of LLMs?

March 17, 2024  |  4 min read

Chatbot Arena updated its LLM ranking method from Elo to Bradley-Terry. What changed? Let's dig into the differences.


On Optimal Threshold for Maximizing F1 Score

May 15, 2021  |  9 min read

This post attempts to take a deeper look at F1 score. Do you know that, for calibrated classifiers, the optimal threshold is half the max F1? How come? Here it's explained.


Stats with Python: Multiple Linear Regression

March 31, 2021  |  3 min read

This post steps forward to multiple linear regression. The method of least squares is revisited --with linear algebra.


Stats with Python: Simple Linear Regression

March 22, 2021  |  5 min read

This post summarizes the basics of simple linear regression --method of least squares and coefficient of determination.


Stats with Python: Sample Correlation Coefficient is Biased

February 24, 2021  |  6 min read

Is the sample correlation coefficient an unbiased estimator? No! This post visualizes how large its bias is and shows how to fix it.


Stats with Python: Rank Correlation

February 06, 2021  |  8 min read

The correlation coefficient is a familiar statistic, but there are several variations whose differences should be noted. This post recaps the definitions of these common measures.


A Deeper Look at ROC-AUC

November 15, 2020  |  4 min read

How come ROC-AUC is equal to the probability of a positive sample ranked higher than negative ones? This post provides an answer with a fun example.


From Direct Method to Doubly Robust

July 29, 2020  |  3 min read

Causal inference is becoming a hot topic in ML community. This post formulates one of its important concepts called doubly robust estimator with simple notations.



July 19, 2020  |  21 min read



PageRank Explained: Theory, Algorithm, and Some Experiments

March 12, 2020  |  9 min read

How does Google's PageRank work? Its theory and algorithm are explained, followed by numerical experiments.

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