*Last updated: 2023-03-16.*
# tf_quant_finance.models.longstaff_schwartz.make_polynomial_basis
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Produces a callable from samples to polynomial basis for use in regression.
```python
tf_quant_finance.models.longstaff_schwartz.make_polynomial_basis(
degree
)
```
The output callable accepts a scalar `Tensor` `t` and a `Tensor` `X` of
shape `[num_samples, dim]`, computes a centered value
`Y = X - mean(X, axis=0)` and outputs a `Tensor` of shape
`[degree * dim, num_samples]`, where
```
Z[i*j, k] = X[k, j]**(degree - i) * X[k, j]**i, 0<=i`degree`: An `int32` scalar `Tensor`. The degree of the desired polynomial
basis.
#### Returns:
A callable from `Tensor`s of shape `[batch_size, num_samples, dim]` to
`Tensor`s of shape `[batch_size, (degree + 1)**dim, num_samples]`.