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theoretical-foundations

This document explains the mathematical and statistical principles underlying scvi-tools.

  • Skills
  • Scientific
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What it does and how to use it

A skill that teaches Claude Code to do scientific tasks well. It is packaged knowledge the model uses whenever it is relevant.

  1. Install the skill (command above).
  2. In Claude Code, describe what you need - the skill turns on by itself when the context fits.
  3. No commands to memorize: you talk in plain language and the skill does the rest.

Install (Claude Code)

mkdir -p .claude/skills/theoretical-foundations && curl -fsSL https://doutorai.pt/data/lib/skills__theoretical-foundations.md -o .claude/skills/theoretical-foundations/SKILL.md

Paste this command into the terminal, in your project folder, and the component installs automatically.

Content

# Theoretical Foundations of scvi-tools

This document explains the mathematical and statistical principles underlying scvi-tools.

## Core Concepts

### Variational Inference

**What is it?**
Variational inference is a technique for approximating complex probability distributions. In single-cell analysis, we want to understand the posterior distribution p(z|x) - the probability of latent variables z given observed data x.

**Why use it?**
- Exact inference is computationally intractable for complex models
- Scales to large datasets (millions of cells)
- Provides uncertainty quantification
- E

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