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Notebooks

Notes, tutorials, and ML implementations from scratch.

Machine Learning

Eleven algorithms implemented from scratch in NumPy — each with math, diagrams, and a real dataset.

+ −
Linear Classifier & Perceptron
Breast Cancer
x y
Linear Regression & Ridge
Diabetes
RBF kernel
Kernel Perceptron
Banknote Auth
K = 3
K-Nearest Neighbors
Wine
u1 u2 u3 m1 m2 m3 m4 ★4 ★2 ★5 ★3 ★5 ★1 ★4 ? ? ? ? ?
Collaborative Filtering
Ratings Matrix
μ μ μ
K-Means Clustering
Seeds
⊙ = medoid (real point)
K-Medoids Clustering
Seeds
space hockey P shuttle orbit hockey goal
Naive Bayes
20 Newsgroups
setosa versic. virginica
Gaussian Generative
Iris
μ μ μ
GMM & EM Algorithm
Synthetic Mixture
S ✕ ✕ G
Q-Learning
Grid World

Statistics

Nine topics from MIT 18.6501x — convergence, MLE, hypothesis testing, and more.

Probability Foundations
Statistics 1
a.s. in prob. dist. convergence hierarchy
Convergence Theory
Statistics 2
θ* Θ
Statistical Models & Estimation
Statistics 3
TV / KL
Distance Measures
Statistics 4
θ̂ ℓ(θ)
Maximum Likelihood Estimation
Statistics 5
✗
Confidence Intervals & Delta Method
Statistics 6
Method of Moments & M-Estimation
Statistics 7
α H₀
Hypothesis Testing
Statistics 8
KS 1
Goodness of Fit & Empirical Processes
Statistics 9

Probability

MIT 6.431x — sample spaces, random variables, Bayesian inference, and Markov chains.

Ω A B ∩
Axioms & Counting
Probability 1
A₁ A₂ B P(A|B) = P(A∩B)/P(B)
Conditioning & Bayes' Rule
Probability 2
PMF: Binomial
Discrete Random Variables
Probability 3
PDF — area = probability
Continuous Random Variables
Probability 4
N(μ,σ²) Expo Standard families
Named Distributions
Probability 5
Cov, Corr, E[X|Y]
Covariance & Conditioning
Probability 6
prior posterior MAP · LMS · LLMS
Bayesian Inference
Probability 7
LLN · CLT · Delta Method
Limit Theorems
Probability 8
1 2 3 Transition · Stationary π
Markov Chains
Probability 9

Quantum Computing

Quantum information and algorithms — qubits, gates, cryptography, and Qiskit implementations.

|0⟩ |1⟩
Qubits & Quantum Gates
Quantum 1
Alice Bob BB84
QKD & Cryptography
Quantum 2
H H Uf H M
Deutsch–Jozsa Algorithm
Quantum 3 · Notebook
★ Grover's
Grover's Search Algorithm
Quantum 4 · Notebook
QFT H R₂ 15 = 3 × 5
Shor's Factoring Algorithm
Quantum 5 · Notebook

Python

Foundational Python — from basic operations to algorithms and data visualization.

>>> x = 42 >>> "hello" for i in range(n): print(i) 0 1 2 3 ...
Basic Operations & Loops
Python 1
f(x) x y .txt
Functions & Files
Python 2
list 1 2 3 tuple a b dict "age" 25 "name" "Al" "city" "NY"
Tuples, Lists & Dicts
Python 3
pass fail assert f(x) == y
Testing & Debugging
Python 4
try: risky_op() except: handle() finally: cleanup()
Exceptions & Assertions
Python 5
Animal Dog Cat inherits + overrides
Classes & Inheritance
Python 6
iter yield for lazy evaluation
Classes & Generators
Python 7
O(1) O(n) O(n²) input size n time
Computational Complexity
Python 8
unsorted sorted
Searching & Sorting
Python 9
Visualization of Data
Python 10

R

Introduction to R for data analysis.

R
R Basics
Intro to R