AI Principles

The science behind AI — transformer architectures, training dynamics, and evaluation methodology. MONA explains how AI actually works, with precision over hype.

Geometric visualization of distance convergence in high-dimensional vector space with collapsing nearest neighbor boundaries
MONA explainer 11 min

Curse of Dimensionality, Recall vs. Speed, and the Hard Limits of Approximate Nearest Neighbor Search

High-dimensional similarity search faces hard mathematical limits. Explore the curse of dimensionality, recall-speed …

Abstract geometric visualization of query key and value vectors converging through a scaled dot-product attention matrix
MONA explainer 10 min

Attention Mechanism Explained: How Queries, Keys, and Values Power Modern AI

Attention mechanisms let neural networks weigh input relevance dynamically. Learn how queries, keys, and values compute …

Geometric visualization of attention matrices expanding quadratically as sequence length grows
MONA explainer 10 min

Why Transformers Hit a Wall: Quadratic Scaling and the Memory Bottleneck

Transformer self-attention scales quadratically with sequence length. Understand the O(n²) memory wall, KV cache costs, …

Geometric matrix grid expanding quadratically with heat-map intensity fading at the edges to visualize attention cost scaling
MONA explainer 9 min

Why Standard Attention Breaks at Long Contexts: The O(n²) Bottleneck and Attention Sinks

Standard attention scales quadratically with sequence length. Learn why O(n²) breaks at long contexts, what attention …

Geometric attention matrix with query-key vectors converging across a sequence of tokens
MONA explainer 10 min

What Is the Transformer Architecture and How Self-Attention Really Works

The transformer architecture powers every major LLM. Learn how self-attention computes token relationships, why …

Geometric visualization of vector spaces and matrix operations underlying transformer attention mechanisms
MONA explainer 10 min

Prerequisites for Understanding Transformers: From Embeddings to Matrix Multiplication

Master the math behind transformers: embeddings, matrix multiplication, positional encoding, and multi-head attention …

Geometric visualization of vector spaces converging through dot product alignment into attention weight distributions
MONA explainer 9 min

From Embeddings to Attention: The Math You Need Before Studying Transformers

Master the math behind attention mechanisms — dot products, softmax, QKV matrices, and multi-head projections — before …

Abstract geometric visualization of weighted token connections flowing through a neural attention grid
MONA explainer 9 min

Attention Mechanism: Scaled Dot-Product, Self vs Cross

Transformers use weighted averaging, not human-like focus: scaled dot-product, self-attention vs cross-attention, and …