[Term Entry] PyTorch Tensor Operations: .erfinv()

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Author: AtulDeshpande09

content/pytorch/concepts/tensor-operations/terms/erfinv/erfinv.md

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+---
+Title: '.erfinv()'
+Description: 'Computes the inverse error function of input.'
+Subjects:
+  - 'Computer Science'
+  - 'Machine Learning'
+Tags:
+  - 'Functions'
+  - 'Machine Learning'
+  - 'Python'
+  - 'Tensor'
+CatalogContent:
+  - 'intro-to-py-torch-and-neural-networks'
+  - 'paths/computer-science'
+---
+
+In PyTorch, the **`.erfinv()`** function returns the inverse error function of each element in the input [tensor](https://www.codecademy.com/resources/docs/pytorch/tensors). The inverse error function in the range (−1,1) is: $$erfinv(erf(x))=x$$.
+
+## Syntax
+
+```pseudo
+torch.erfinv(input, *, out=None) → Tensor
+```
+
+Or,
+
+```pseudo
+torch.special.erfinv(input, *, out=None) → Tensor
+```
+
+**Parameters:**
+
+- `input`: A tensor containing values in the range (-1, 1).
+- `out` (Optional): A tensor to store the output. If provided, the result is written to this tensor.
+
+**Return value:**
+
+It returns a new tensor of the same shape as the input, containing the computed inverse error function values for each corresponding element.
+
+## Example
+
+In this example, the inverse error function values of each tensor is computed using `.erfinv()`:
+
+```py
+import torch
+
+# Define a tensor
+x = torch.tensor([0, 0.5, -1.])
+
+result = torch.erfinv(torch.tensor(x))
+
+print(result)
+```
+
+Here is the output:
+
+```shell
+tensor([ 0.0000,  0.4769,    -inf])
+```