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Attention Mechanisms Explained Without the Linear Algebra

What attention actually computes, why it made transformers work, and why its cost scaling explains almost every practical limit you hit with long context.

Fundamentals9 min read
Fundamentals

Batch Size and Throughput: The Trade Behind Every Token Price

Batching is why per-token prices are low and why latency varies under load. How it works, where it stops helping, and what it means for your requests.

· 9 min read
Fundamentals

Beam Search vs Sampling: Why Chat Models Do Not Search

Beam search finds higher-probability text and worse text. Why sampling won for open-ended generation, and where search-like decoding still earns its place.

· 9 min read
Fundamentals

Byte-Pair Encoding Explained: How Tokenizers Are Built

BPE is a compression algorithm that became the standard way to split text for language models. How it is trained, what it produces, and why it behaves oddly.

· 9 min read
Fundamentals

Chain of Thought: Why Thinking Out Loud Actually Helps

Asking a model to reason step by step measurably improves accuracy on some tasks and wastes tokens on others. The mechanism, and when it is worth the cost.

· 8 min read
Fundamentals

Constitutional AI: Alignment From Written Rules, Not Labels

Instead of paying humans to rank thousands of responses, write the principles down and have the model apply them. How the method works and where it strains.

· 9 min read
Fundamentals

Context Length vs Effective Context: The Number You Can Use

A model advertising a one-million-token window does not reliably use one million tokens. The gap between the spec sheet and what actually works.

· 9 min read
Fundamentals

Continuous Batching: How Servers Keep GPUs Busy

Continuous batching lets finished requests leave a batch and new ones join mid-flight. It is why modern inference servers hold high load without stalling.

· 9 min read
Fundamentals

Data Contamination in Training: Why Scores Overstate Skill

How benchmark data leaks into training sets, why it is hard to prove, and what a contaminated score actually costs you when you pick a model for real work.

· 9 min read
Fundamentals

DPO vs RLHF: Two Routes From Preferences to Model Behaviour

Direct preference optimisation drops the reward model and the RL loop. What that simplification buys, what it costs, and why open-weight work leans on it.

· 9 min read
Fundamentals

Expert Routing in MoE: How a Token Picks Its Path

The router decides which experts see each token, and that one small network shapes quality, throughput and why identical prompts can behave differently.

· 9 min read
Fundamentals

Flash Attention Explained: Same Maths, Far Less Memory

Flash attention makes long context practical by never writing the score matrix to memory. What it changes, what it does not, and where you feel the difference.

· 9 min read
Fundamentals

GPU Memory for Inference: What Actually Fills the Card

Weights are only the first line of the memory budget. Where the rest goes, why concurrency runs out before compute does, and how to size a deployment.

· 9 min read

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