Statistics: Data and Sampling Distributions

Today I learned about Sampling and their distributions. When There is huge dataset with unknown distribution, we do not have a good idea what to expect in the patterns in the data. We then take some samples(a subset of the dataset) and make inferences about the true dataset. The true dataset is called as Population and the sample of a population... Read more 03 Feb 2026 - 5 minute read

Statistics: Exploratory data analysis

I have started a new book this month that is named ‘Practical statistics for Data Scientists’. Todays topics are mostly from that book. The first chapter is Exploratoty data analysis. Although I know most of these concepts, I would still like to document the learnings for the sake of completness. The first steps for any project is analysi... Read more 01 Feb 2026 - 5 minute read

Vector calculus

Todays topics: Chain rule: Vector fields and Gradients: Directional derivatives: Jacobian and Hessian Matrices: Jacobian Matrix: Hessian Matrix: Chain rule: Composite functions: They are functions that are composed of another functions, for example: $F(x) = f(g(x))$. Chain rule can be used to derivate these ... Read more 23 Jan 2026 - 5 minute read

Calculus basics

It would be nice to revisit calculus while I’m at revisiting the math backgrounds. So, todays blog is related to calculus Todays topic include: Differentials: Geometric meaning: Partial fractions: Partial Differentiation: Integration: Calculus is made up of mostly two symbols: “d” meaning 'A little bit of', when someting says “dx... Read more 20 Jan 2026 - 7 minute read

Matrices

Todays topic include: Matrices Determinants: Gaussian Elimination: Rank: Matrices A matrix is a 2d array of elements. The hoizontal elements are combinedly called as rows. Similarly the vertical elements are combindly called as columns. Using these we can represent a matrix like: A matrix of dimension rows * column. The relation ... Read more 16 Jan 2026 - 9 minute read

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