Write the reparameterization trick z = μ + σ⊙ε

How can you predict the weather without getting wet?

Imagine you're planning a picnic and want to know if it will rain. You don't want to check the forecast every minute because it takes time and you can't change your plans quickly.

Think of the weather like a roller coaster, where rain is a sudden drop. Normally, predicting rain is hard because it's random. But with the reparameterization trick, you can smoothly ride the roller coaster, making it easier to predict rain by adjusting your picnic plans slightly.

Example

If there's a 70% chance of rain, instead of checking the weather every hour, you adjust your plans a bit each time you check, making it easier to decide when to cancel the picnic.

Remember this

The reparameterization trick allows you to make small adjustments to your plans based on the latest weather forecast, making it easier to predict rain and avoid getting wet.

Text adapted from Wikipedia, licensed under CC BY-SA 4.0.

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