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What would be an appropriate model for predicting a binary target variable, given a weighted sequence?

Sequences will be reasonably short, typically between ~ 1 and 5 elements.

**Illustrated example**

Say I have the following categories: `A`

, `B`

, `C`

, `D`

.

Each category can have a weight between zero and one.

Example sequences:

`A (0.33)`

,`B (0.71)`

,`C (0.0)`

,`D (0.95)`

=> 1`C (0.21)`

,`A (0.67)`

=> 0`B (0)`

,`D (1)`

=> 1