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Gradient Descent & Optimizers

Theses are some of my over Qiang Liu’s course, Machine Learning II. Gradient Descent: Gradient Descent is a fundamental, first-order iterative optimization algorithm designed for minimizing a function. The primary objective of Gradient Descent is to find …

Language Modeling: Word Embedings & Architectures

These are a few of my notes from Eunsol Choi’s NLP class at UT Austin. Word Embeddings: Word embeddings are a type of word representation that captures the semantic meaning of words in a continuous vector space. Unlike one-hot encoding, where each word is …

Neural Networks: RNNs, Seq2Seq, & CNNs

These are a few of my notes from Eunsol Choi’s NLP class at UT Austin. Recurrent Neural Networks (RNNs): Recurrent Neural Networks (RNNs) are a class of artificial neural networks specifically designed to tackle sequence-based problems. Unlike traditional …

Classifiers: Generative & Discriminative Models

These are a few of my notes from Eunsol Choi’s NLP class at UT Austin. Generative Models vs. Discriminative Models: When it comes to classification, models are broadly categorized into Generative Models and Discriminative Models. Generative Models: In …

Probability

My notes over Mark Maxwell’s course, Probability I, and his textbook, Probability & Statistics with Applications, Second Edition. Combinatorial Probability: The fundamental theorem of counting is also known as the multiplication principle. Given that …

Linear Algebra

These are my notes over my review of Linear Algebra, going through Gilbert Strang’s Introduction To Linear Algebra. Introduction to Vectors: The core of linear algebra is vector addition and scalar multiplication. Combining these two operations gives us a …

Rust Front-End Development with Dioxus

October 14th, 2025: This post is old and is most likely outdated if you’re reading this! Dioxus has possibly changed a substantial amount, thus do not read this as a how-to-guide. Why Rust for Front-End Development: I’ve been using React and Next.js for …

Basic Calculus

A small review over Calculus 1, 2, and 3, based on the textbook, Calculus: Early Transcendentals (Eight Edition). Differentiation Rules: Product Rule: If $f$ and $g$ are both differentiable, then $$\frac{d}{dx}[f(x)g(x)]=f(x)g^\prime(x)+g(x)f^\prime(x)$$ …

This Mountain We Climb

This is a poem that I wrote my senior year of high school in AP Literature. Here we all are, this mountain we climb, the sure ascent, that lasts a lifetime, at the golden summit, a goal we all seek the meaning of life, at its Godly peak. Up we should go, …