What is paper-to-intuition?

The Paper to Intuition skill transforms dense academic papers into accessible, multi-layered knowledge. It bridges the gap between complex research and genuine understanding by providing explanations tailored to different expertise levels—from ELI5 to professional researcher—complemented by interactive visual diagrams and critical analysis of technical components.

When should I use paper-to-intuition?

paper-to-intuition is useful in the following scenarios: • Accelerated Literature Review: Rapidly extract core insights and 'what breaks' analysis from arXiv papers to stay updated with the latest research without getting bogged down in jargon. • Technical Concept Mastery: Use the 'Explanation Ladder' to build a foundational understanding of complex ML architectures or mathematical theories starting from simple analogies and progressing to graduate-level depth. • Interactive Visual Learning: Generate self-contained HTML artifacts with SVG diagrams and parameter sliders to visualize how specific algorithms or systems function in real-time. • Equation Deconstruction: Translate complex LaTeX equations into plain English to understand the specific role, intuition, and necessity of every mathematical term within a paper.

name	paper-to-intuition
description	Transforms an academic paper into deep, multi-layered understanding. Use when asked to explain a paper, break down a research paper, understand an arXiv paper, or build intuition for a technical concept from a paper. Generates explanations at multiple levels plus visual intuition diagrams.

Paper to Intuition

Transform dense academic papers into genuine understanding through layered explanation and visual intuition.

Process

Get the paper - Ask for the arXiv link, PDF, or paper title
Extract the core - Identify the single key insight (one sentence)
Build the ladder - Create explanations at 4 levels
Visualize intuition - Generate interactive diagrams
Stress test understanding - "What breaks if we remove X?"

The Explanation Ladder

Generate explanations at each level, with each building on the last:

Level 1: ELI5 (1 paragraph)

No jargon, no equations
Use familiar analogies from everyday life
A curious 10-year-old should roughly get it

Level 2: Undergraduate (2-3 paragraphs)

Assume calculus, basic linear algebra, intro ML
Introduce key terms with definitions
Connect to textbook concepts they'd know

Level 3: Graduate (3-4 paragraphs)

Assume ML fundamentals, optimization, probability
Discuss relationship to prior work
Explain why naive approaches don't work
Cover the key equations with plain-English annotations

Level 4: Researcher (2-3 paragraphs)

Assume field expertise
Subtle technical contributions
Limitations and open questions
How this changes what's possible

Key Equations Breakdown

For each important equation:

[Equation in LaTeX]

In words: [Plain English translation]

Each term:
- [symbol]: [what it represents] [why it's there]

Intuition: [Why this mathematical form? What would change if we used a different form?]

Visual Intuition Artifact

Generate a self-contained HTML file with:

Architecture diagram - Boxes and arrows showing information flow
Interactive sliders - Manipulate key parameters, see effects
Before/after comparisons - What the method improves over baselines
Failure case visualization - When and why it breaks down

Use SVG for diagrams, vanilla JavaScript for interactivity. Dark theme, clean typography.

<!DOCTYPE html>
<html>
<head>
  <title>[Paper Name] - Visual Intuition</title>
  <style>
    :root { --bg: #1a1a2e; --text: #eee; --accent: #4f8cff; }
    /* Clean, research-aesthetic styling */
  </style>
</head>
<body>
  <h1>[Paper Title]</h1>
  <p class="tldr">[One-sentence insight]</p>

  <section id="architecture">
    <svg><!-- Information flow diagram --></svg>
  </section>

  <section id="interactive">
    <!-- Parameter sliders with live updates -->
  </section>

  <section id="comparisons">
    <!-- Before/after, ablations -->
  </section>
</body>
</html>

The "What Breaks?" Analysis

For each major component, explain:

What it does - The role this component plays
What breaks without it - Concrete failure mode
Why this solution - Alternatives considered, why this won
The tradeoff - What we pay for this choice (compute, complexity, assumptions)

Output Structure

Deliver as a structured document:

# [Paper Title]

**TL;DR:** [One sentence]

**Why it matters:** [One paragraph on significance]

## The Explanation Ladder

### ELI5
[...]

### Undergraduate Level
[...]

### Graduate Level
[...]

### Researcher Level
[...]

## Key Equations

### Equation 1: [Name]
[Breakdown as specified above]

## What Breaks If We Remove...

### [Component 1]
[Analysis]

### [Component 2]
[Analysis]

## Visual Intuition

[Link to or embed HTML artifact]

## Further Reading

- [Prerequisite paper 1]
- [Follow-up work 1]

Quality Standards

Every analogy must be accurate, not just catchy
Equations must be explained, not just translated
Visuals must reveal structure, not just decorate
The researcher-level section should contain insight, not just summary
Admit when something is genuinely confusing or poorly explained in the original paper

paper-to-intuition

When & Why to Use This Skill

Use Cases