# {py:mod}`evox.operators.crossover.differential_evolution`

```{py:module} evox.operators.crossover.differential_evolution
```

```{autodoc2-docstring} evox.operators.crossover.differential_evolution
:allowtitles:
```

## Module Contents

### Functions

````{list-table}
:class: autosummary longtable
:align: left

* - {py:obj}`DE_differential_sum <evox.operators.crossover.differential_evolution.DE_differential_sum>`
  - ```{autodoc2-docstring} evox.operators.crossover.differential_evolution.DE_differential_sum
    :summary:
    ```
* - {py:obj}`DE_binary_crossover <evox.operators.crossover.differential_evolution.DE_binary_crossover>`
  - ```{autodoc2-docstring} evox.operators.crossover.differential_evolution.DE_binary_crossover
    :summary:
    ```
* - {py:obj}`DE_exponential_crossover <evox.operators.crossover.differential_evolution.DE_exponential_crossover>`
  - ```{autodoc2-docstring} evox.operators.crossover.differential_evolution.DE_exponential_crossover
    :summary:
    ```
* - {py:obj}`DE_arithmetic_recombination <evox.operators.crossover.differential_evolution.DE_arithmetic_recombination>`
  - ```{autodoc2-docstring} evox.operators.crossover.differential_evolution.DE_arithmetic_recombination
    :summary:
    ```
````

### API

````{py:function} DE_differential_sum(diff_padding_num: int, num_diff_vectors: torch.Tensor, index: torch.Tensor, population: torch.Tensor) -> typing.Tuple[torch.Tensor, torch.Tensor]
:canonical: evox.operators.crossover.differential_evolution.DE_differential_sum

```{autodoc2-docstring} evox.operators.crossover.differential_evolution.DE_differential_sum
```
````

````{py:function} DE_binary_crossover(mutation_vector: torch.Tensor, current_vector: torch.Tensor, CR: torch.Tensor)
:canonical: evox.operators.crossover.differential_evolution.DE_binary_crossover

```{autodoc2-docstring} evox.operators.crossover.differential_evolution.DE_binary_crossover
```
````

````{py:function} DE_exponential_crossover(mutation_vector: torch.Tensor, current_vector: torch.Tensor, CR: torch.Tensor)
:canonical: evox.operators.crossover.differential_evolution.DE_exponential_crossover

```{autodoc2-docstring} evox.operators.crossover.differential_evolution.DE_exponential_crossover
```
````

````{py:function} DE_arithmetic_recombination(mutation_vector: torch.Tensor, current_vector: torch.Tensor, K: torch.Tensor)
:canonical: evox.operators.crossover.differential_evolution.DE_arithmetic_recombination

```{autodoc2-docstring} evox.operators.crossover.differential_evolution.DE_arithmetic_recombination
```
````