Frame from Cross-entropy in bars and language trees
Recreation briefby Reference

Adapt the color-linked equation-and-diagram approach to another abstract topic, such as risk or resource allocation. Assign each variable a stable accent color and reuse it in labels, bars, and formulas. Pair a concrete worked example with a side-by-side comparison before introducing the general expression.

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Cross-entropy in bars and language trees

A mathematical explainer connects compression and language prediction to cross-entropy, using color-coded probability bars, branching trees, equations, loss surfaces, and paired distribution diagrams.

How it was made

Reference shows a muted excerpt from 16:10 to 17:40. Watch the complete video at the original source.

Manim

Source and credit

YouTube · Jul 16, 2026 · 22k likes · 869k views · 969 comments

Authorship not stated by the source

Discovery collection

Look notesby Reference

A dark, technical explainer visualizes loss as a red surface over a gridded landscape, alongside formulas, neural-network diagrams, and training-data examples.

Color
Black backgrounds with coral red and orange surfaces, teal grid lines and accents, and white or pale-gray text.
Type
Serif headings and body text paired with italic mathematical notation and symbols.
Framing
The red loss surface and its vertical loss marker sit above perspective grids; formulas and small diagrams appear beside or near the visualizations, with text examples presented in separate sections.
Structure
Connected educational graphics progress from loss-surface illustrations and notation to gradient descent, backpropagation, training data, and the statement “Loss = Information.”

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