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Fundamentals

Needle-in-a-Haystack Tests: What They Prove and What They Miss

A perfect needle-in-a-haystack chart says a model can find one planted sentence. It says very little about whether it can reason over your documents.

· 9 min read
Fundamentals

Paged Attention: Virtual Memory for the KV Cache

Paged attention stores the KV cache in fixed-size blocks instead of one contiguous slab, which is what lets a server hold far more concurrent sessions.

· 9 min read
Fundamentals

Planning Storage for Self-Hosted Model Weights

How to size disk for open-weight models: what drives checkpoint size, why quantisations and versions multiply it, and why storage is rarely the real constraint.

· 9 min read
Fundamentals

Positional Encoding: How a Transformer Knows Token Order

Attention is order-blind by default. How position gets injected, why the method decides how far context can stretch, and what you see when it fails.

· 9 min read
Fundamentals

Pretraining vs Post-Training: Where a Model Gets Its Behaviour

Pretraining decides what a model knows. Post-training decides how it behaves. Knowing which stage owns a problem tells you whether prompting can fix it.

· 9 min read
Fundamentals

Repetition Penalties: Why They Break Code Generation

Frequency and presence penalties suppress loops by punishing tokens the model already used. On code that punishes syntax, and the loop was rarely the real bug.

· 9 min read
Fundamentals

Residual Connections: Why Deep Models Train at All

The one-line change that made hundred-layer networks possible, why the residual stream behaves like a shared bus, and what it explains about pruning.

· 8 min read
Fundamentals

RLHF Explained: Training on Comparisons Instead of Answers

Reinforcement learning from human feedback shapes the qualities nobody can write down. The three-stage pipeline, and the failure modes you see as a user.

· 9 min read
Fundamentals

Rotary Embeddings (RoPE) Explained With Clock Hands

RoPE encodes position by rotating vectors rather than adding to them. Why that gives relative distance for free, and how it made 1M context possible.

· 9 min read
Fundamentals

Scaling Laws Explained: What Predicts a Model Getting Better

Scaling laws describe how loss falls as compute, data and parameters grow. What they actually claim, where they stopped applying, and why it matters to you.

· 9 min read
Fundamentals

Self-Consistency Decoding: Ask Five Times, Take the Majority

Sampling several answers and voting beats a single answer on some tasks and is pure waste on others. The mechanism, the cost, and when to reach for it.

· 8 min read
Fundamentals

Sparse vs Dense Activation: What Runs on Every Token

Sparse activation means most of a model sits idle for any given token. That single fact explains model pricing, memory bills and misleading spec sheets.

· 9 min read

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