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Learning Lab · 4 min read

What Large Language Models Actually Do (And Don’t)

Large language models predict one word at a time based on statistical patterns learned during training. Understanding how this works explains their strengths, limitations, and why they fail in specific ways—and helps you use them effectively.

What Is an LLM — How Large Language Models Work

You’ve heard “Large Language Model” thrown around everywhere. It sounds technical. It’s not really.

An LLM is a statistical pattern-matching machine. That’s it. Feed it text, it predicts the next word. Repeat that process thousands of times, and you get a coherent response.

The difference between understanding how they work and treating them like magic determines whether you’ll use them effectively or waste time waiting for outputs that never come.

The Simplest Explanation: Next-Word Prediction at Scale

Language models are trained on enormous amounts of text—billions of words from books, websites, code repositories, and documents. During training, they learn patterns: after “the quick brown” comes “fox” far more often than “elephant.”

That’s the entire foundation. Given a starting phrase, these models calculate probabilities for what word should come next. Then they use that word as input, calculate probabilities again, and repeat until they’ve generated a full response.

Claude, GPT-4o, Gemini, Llama—they all work on this same principle. The differences lie in training data, model size, and architectural tweaks. But the core mechanism is probability-based prediction.

Why This Matters: Understanding the Failure Modes

Once you know models are predicting tokens (small chunks of text) one at a time, several behaviors suddenly make sense.

Hallucinations aren’t bugs—they’re inevitable. If a model hasn’t seen a specific piece of information during training, it still has to produce output. So it generates plausible-sounding text based on patterns it knows. A made-up research paper citation isn’t lying; it’s following the statistical path for “how research citations usually look.”

Length increases error. Each token prediction compounds uncertainty. By the time a model generates a 2,000-word response, it’s made 2,000 prediction steps, each one slightly off. That’s why long outputs drift further from accuracy than short ones.

Temperature settings change behavior. Temperature controls randomness in token selection. High temperature (0.8–1.0) = the model picks from more possible next words, leading to creative but less reliable output. Low temperature (0.2–0.3) = it picks the statistically most likely word each time, leading to consistent but repetitive output. This isn’t a mystical setting—it directly controls how much variation you’re allowing in the prediction process.

Tokens: The Currency of LLMs

You’ll hear “tokens” constantly when working with models. A token isn’t a word.

The word “unbelievable” = 2 tokens. The word “I” = 1 token. The space before a word counts as part of the next token. This matters because you pay for API usage by tokens, not words.

Claude’s pricing (as of early 2025): $0.80 per million input tokens, $2.40 per million output tokens. If you send a 10,000-word document (roughly 13,000 tokens) and get a 1,000-word response (roughly 1,300 tokens), that’s about 11 cents.

A rough rule: 1 token ≈ 0.75 words. Useful for budgeting, useless for precision. Run your actual text through a tokenizer if you need exact counts.

Context Window: How Much the Model Can Actually Remember

Models don’t remember previous conversations. Each time you send input, the model receives your entire message as fresh context.

That’s why the context window matters—the maximum number of tokens a model can process in a single request. GPT-4o: 128,000 tokens. Claude 3.5 Sonnet: 200,000 tokens. Mistral 7B (running locally): 32,000 tokens.

This limit shapes what you can actually do. A 200,000-token context means you could paste in a 150,000-word book and still have room for your question and the model’s response. A 4,000-token context means you’re picking and choosing what matters.

Longer context windows don’t make models smarter, but they make certain workflows possible: analyzing entire documents, maintaining detailed memory within a single conversation, processing longer source material for RAG systems.

Training vs. Inference: Why Older Information Is Stale

Models are trained once. Then they run inference—the process of generating outputs from user input.

Claude 3.5 Sonnet’s training data has a cutoff date in April 2024. Anything after that date, it won’t know. This isn’t a flaw; it’s a structural reality. Models don’t browse the internet or update themselves. If you need current information, you have to feed it to them—which is why RAG (Retrieval-Augmented Generation) exists.

What This Means for You Tomorrow

Treat LLMs as expert summarizers and pattern-matchers, not as search engines or fact databases.

If you’re building with LLMs, start by testing on a small batch before scaling. Send 10 examples to Claude with your exact prompt. Watch what breaks. The failures you see aren’t random—they’re predictable patterns in how the model’s probability calculations fail. Fix the prompt, test again. This cycle is faster than iterating in production.

If you’re evaluating an LLM for a specific task, check its context window first, not its name. A smaller local model with 32K tokens might outperform a larger cloud model with 4K tokens on your actual workload. Test both before committing.

Batikan
· 4 min read
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