# variational

CEFR C2 · Adjective

Source: https://englishreference.com/word/variational
Updated: 2026-09-28

## Definition

relating to mathematical methods that find best solutions by testing small changes to functions.

For teachers: relating to the calculus of variations, specifically optimization techniques that approximate intractable probability distributions by minimizing divergence from a tractable family.

## Examples

- The physics student used a variational method to estimate the energy of the quantum system.
- Variational autoencoders learn compact representations by compressing images into probabilistic latent codes.
- In Bayesian deep learning, variational inference transforms an intractable posterior integration problem into a tractable continuous optimization task.

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