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Base¤

The Base class is the foundational object of Zodiax and is what allows for a path-based pytree interface. Classes that inherit from Base will gain methods that allow for operations and functions to be applied to leaves specified by their paths. Here is a summary of the methods:

Getter Methods

value = pytree.get(paths)

Setter Methods

pytree = pytree.set(paths, values)

Arithmetic Methods

pytree = pytree.add(paths, values)
pytree = pytree.multiply(paths, values)
pytree = pytree.divide(paths, values)
pytree = pytree.power(paths, values)
pytree = pytree.min(paths, values)
pytree = pytree.max(paths, values)

Full API

Bases: Module

Extend the Equninox.Module class to give a user-friendly 'param based' API for working with pytrees by adding a series of methods used to interface with the leaves of the pytree using parameters.

Source code in zodiax/base.py 
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class Base(Module):
    """
    Extend the Equninox.Module class to give a user-friendly 'param based' API
    for working with pytrees by adding a series of methods used to interface
    with the leaves of the pytree using parameters.
    """
    def get(self : Base, parameters : Params) -> Any:
        """
        Get the leaf specified by param.

        Parameters
        ----------
        parameters : Params
            A list/tuple of nested parameters to unwrap.

        Returns
        -------
        leaf, leaves : Any, list
            The leaf or list of leaves specified by parameters.
        """
        new_parameters = _format(parameters)
        values = _get_leaves(self, new_parameters)
        return values[0] if len(new_parameters) == 1 else values


    def set(self       : Base,
            parameters : Params,
            values     : Union[List[Any], Any]) -> Base:
        """
        Set the leaves specified by parameters with values.

        Parameters
        ----------
        parameters : Params
            A param or list of parameters or list of nested parameters.
        values : Union[List[Any], Any]
            The list of values to set at the leaves specified by parameters.

        Returns
        -------
        pytree : Base
            The pytree with leaves specified by parameters updated with values.
        """
        # Allow None inputs
        if values is None:
            values = [None]
            if isinstance(parameters, str):
                parameters = [parameters]
        new_parameters, new_values = _format(parameters, values)

        # Define 'where' function and update pytree
        leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
        return tree_at(leaves_fn, self, new_values,
                      is_leaf = lambda leaf: leaf is None)


    def add(self       : Base,
            parameters : Params,
            values     : Union[List[Any], Any]) -> Base:
        """
        Add to the the leaves specified by parameters with values.

        Parameters
        ----------
        parameters : Params
            A param or list of parameters or list of nested parameters.
        values : Union[List[Any], Any]
            The list of values to add to the leaves specified by parameters.

        Returns
        -------
        pytree : Base
            The pytree with values added to leaves specified by parameters.
        """
        new_parameters, new_values = _format(parameters, values)
        new_values = [leaf + value for value, leaf in zip(new_values, \
                                    _get_leaves(self, new_parameters))]

        # Define 'where' function and update pytree
        leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
        return tree_at(leaves_fn, self, new_values,
                      is_leaf = lambda leaf: leaf is None)


    def multiply(self       : Base,
                 parameters : Params,
                 values     : Union[List[Any], Any]) -> Base:
        """
        Multiplies the the leaves specified by parameters with values.

        Parameters
        ----------
        parameters : Params
            A param or list of parameters or list of nested parameters.
        values : Union[List[Any], Any]
            The list of values to multiply the leaves specified by parameters.

        Returns
        -------
        pytree : Base
            The pytree with values multiplied by leaves specified by parameters.
        """
        new_parameters, new_values = _format(parameters, values)
        new_values = [leaf * value for value, leaf in zip(new_values, \
                                    _get_leaves(self, new_parameters))]

        # Define 'where' function and update pytree
        leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
        return tree_at(leaves_fn, self, new_values,
                      is_leaf = lambda leaf: leaf is None)


    def divide(self       : Base,
               parameters : Params,
               values     : Union[List[Any], Any]) -> Base:
        """
        Divides the the leaves specified by parameters with values.

        Parameters
        ----------
        parameters : Params
            A param or list of parameters or list of nested parameters.
        values : Union[List[Any], Any]
            The list of values to divide the leaves specified by parameters.

        Returns
        -------
        pytree : Base
            The pytree with values divided by leaves specified by parameters.
        """
        new_parameters, new_values = _format(parameters, values)
        new_values = [leaf / value for value, leaf in zip(new_values, \
                                    _get_leaves(self, new_parameters))]

        # Define 'where' function and update pytree
        leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
        return tree_at(leaves_fn, self, new_values,
                      is_leaf = lambda leaf: leaf is None)


    def power(self       : Base,
              parameters : Params,
              values     : Union[List[Any], Any]) -> Base:
        """
        Raises th leaves specified by parameters to the power of values.

        Parameters
        ----------
        parameters : Params
            A param or list of parameters or list of nested parameters.
        values : Union[List[Any], Any]
            The list of values to take the leaves specified by parameters to the
            power of.

        Returns
        -------
        pytree : Base
            The pytree with the leaves specified by parameters raised to the power
            of values.
        """
        new_parameters, new_values = _format(parameters, values)
        new_values = [leaf ** value for value, leaf in zip(new_values, \
                                    _get_leaves(self, new_parameters))]

        # Define 'where' function and update pytree
        leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
        return tree_at(leaves_fn, self, new_values,
                      is_leaf = lambda leaf: leaf is None)


    def min(self       : Base,
            parameters : Params,
            values     : Union[List[Any], Any]) -> Base:
        """
        Updates the leaves specified by parameters with the minimum value of the
        leaves and values.

        Parameters
        ----------
        parameters : Params
            A param or list of parameters or list of nested parameters.
        values : Union[List[Any], Any]
            The list of values to take the minimum of and the leaf.

        Returns
        -------
        pytree : Base
            The pytree with the leaves specified by parameters updated with the
            minimum value of the leaf and values.
        """
        new_parameters, new_values = _format(parameters, values)
        new_values = [np.minimum(leaf, value) for value, leaf in \
                    zip(new_values, _get_leaves(self, new_parameters))]

        # Define 'where' function and update pytree
        leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
        return tree_at(leaves_fn, self, new_values,
                      is_leaf = lambda leaf: leaf is None)


    def max(self       : Base,
            parameters : Params,
            values     : Union[List[Any], Any]) -> Base:
        """
        Updates the leaves specified by parameters with the maximum value of the
        leaves and values.


        Parameters
        ----------
        parameters : Params
            A param or list of parameters or list of nested parameters.
        values : Union[List[Any], Any]
            The list of values to take the maximum of and the leaf.

        Returns
        -------
        pytree : Base
            The pytree with the leaves specified by parameters updated with the
            maximum value of the leaf and values.
        """
        new_parameters, new_values = _format(parameters, values)
        new_values = [np.maximum(leaf, value) for value, leaf in \
                    zip(new_values, _get_leaves(self, new_parameters))]

        # Define 'where' function and update pytree
        leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
        return tree_at(leaves_fn, self, new_values,
                      is_leaf = lambda leaf: leaf is None)

add(parameters, values) ¤

Add to the the leaves specified by parameters with values.

Parameters:

Name Type Description Default
parameters Params

A param or list of parameters or list of nested parameters.

 required
values Union[List[Any], Any]

The list of values to add to the leaves specified by parameters.

 required

Returns:

Name Type Description
pytree Base

The pytree with values added to leaves specified by parameters.
Source code in zodiax/base.py 
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def add(self       : Base,
        parameters : Params,
        values     : Union[List[Any], Any]) -> Base:
    """
    Add to the the leaves specified by parameters with values.

    Parameters
    ----------
    parameters : Params
        A param or list of parameters or list of nested parameters.
    values : Union[List[Any], Any]
        The list of values to add to the leaves specified by parameters.

    Returns
    -------
    pytree : Base
        The pytree with values added to leaves specified by parameters.
    """
    new_parameters, new_values = _format(parameters, values)
    new_values = [leaf + value for value, leaf in zip(new_values, \
                                _get_leaves(self, new_parameters))]

    # Define 'where' function and update pytree
    leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
    return tree_at(leaves_fn, self, new_values,
                  is_leaf = lambda leaf: leaf is None)

divide(parameters, values) ¤

Divides the the leaves specified by parameters with values.

Parameters:

Name Type Description Default
parameters Params

A param or list of parameters or list of nested parameters.

 required
values Union[List[Any], Any]

The list of values to divide the leaves specified by parameters.

 required

Returns:

Name Type Description
pytree Base

The pytree with values divided by leaves specified by parameters.
Source code in zodiax/base.py 
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def divide(self       : Base,
           parameters : Params,
           values     : Union[List[Any], Any]) -> Base:
    """
    Divides the the leaves specified by parameters with values.

    Parameters
    ----------
    parameters : Params
        A param or list of parameters or list of nested parameters.
    values : Union[List[Any], Any]
        The list of values to divide the leaves specified by parameters.

    Returns
    -------
    pytree : Base
        The pytree with values divided by leaves specified by parameters.
    """
    new_parameters, new_values = _format(parameters, values)
    new_values = [leaf / value for value, leaf in zip(new_values, \
                                _get_leaves(self, new_parameters))]

    # Define 'where' function and update pytree
    leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
    return tree_at(leaves_fn, self, new_values,
                  is_leaf = lambda leaf: leaf is None)

get(parameters) ¤

Get the leaf specified by param.

Parameters:

Name Type Description Default
parameters Params

A list/tuple of nested parameters to unwrap.

 required

Returns:

Type Description
leaf, leaves

The leaf or list of leaves specified by parameters.
Source code in zodiax/base.py 
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def get(self : Base, parameters : Params) -> Any:
    """
    Get the leaf specified by param.

    Parameters
    ----------
    parameters : Params
        A list/tuple of nested parameters to unwrap.

    Returns
    -------
    leaf, leaves : Any, list
        The leaf or list of leaves specified by parameters.
    """
    new_parameters = _format(parameters)
    values = _get_leaves(self, new_parameters)
    return values[0] if len(new_parameters) == 1 else values

max(parameters, values) ¤

Updates the leaves specified by parameters with the maximum value of the leaves and values.

Parameters:

Name Type Description Default
parameters Params

A param or list of parameters or list of nested parameters.

 required
values Union[List[Any], Any]

The list of values to take the maximum of and the leaf.

 required

Returns:

Name Type Description
pytree Base

The pytree with the leaves specified by parameters updated with the maximum value of the leaf and values.
Source code in zodiax/base.py 
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def max(self       : Base,
        parameters : Params,
        values     : Union[List[Any], Any]) -> Base:
    """
    Updates the leaves specified by parameters with the maximum value of the
    leaves and values.


    Parameters
    ----------
    parameters : Params
        A param or list of parameters or list of nested parameters.
    values : Union[List[Any], Any]
        The list of values to take the maximum of and the leaf.

    Returns
    -------
    pytree : Base
        The pytree with the leaves specified by parameters updated with the
        maximum value of the leaf and values.
    """
    new_parameters, new_values = _format(parameters, values)
    new_values = [np.maximum(leaf, value) for value, leaf in \
                zip(new_values, _get_leaves(self, new_parameters))]

    # Define 'where' function and update pytree
    leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
    return tree_at(leaves_fn, self, new_values,
                  is_leaf = lambda leaf: leaf is None)

min(parameters, values) ¤

Updates the leaves specified by parameters with the minimum value of the leaves and values.

Parameters:

Name Type Description Default
parameters Params

A param or list of parameters or list of nested parameters.

 required
values Union[List[Any], Any]

The list of values to take the minimum of and the leaf.

 required

Returns:

Name Type Description
pytree Base

The pytree with the leaves specified by parameters updated with the minimum value of the leaf and values.
Source code in zodiax/base.py 
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def min(self       : Base,
        parameters : Params,
        values     : Union[List[Any], Any]) -> Base:
    """
    Updates the leaves specified by parameters with the minimum value of the
    leaves and values.

    Parameters
    ----------
    parameters : Params
        A param or list of parameters or list of nested parameters.
    values : Union[List[Any], Any]
        The list of values to take the minimum of and the leaf.

    Returns
    -------
    pytree : Base
        The pytree with the leaves specified by parameters updated with the
        minimum value of the leaf and values.
    """
    new_parameters, new_values = _format(parameters, values)
    new_values = [np.minimum(leaf, value) for value, leaf in \
                zip(new_values, _get_leaves(self, new_parameters))]

    # Define 'where' function and update pytree
    leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
    return tree_at(leaves_fn, self, new_values,
                  is_leaf = lambda leaf: leaf is None)

multiply(parameters, values) ¤

Multiplies the the leaves specified by parameters with values.

Parameters:

Name Type Description Default
parameters Params

A param or list of parameters or list of nested parameters.

 required
values Union[List[Any], Any]

The list of values to multiply the leaves specified by parameters.

 required

Returns:

Name Type Description
pytree Base

The pytree with values multiplied by leaves specified by parameters.
Source code in zodiax/base.py 
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def multiply(self       : Base,
             parameters : Params,
             values     : Union[List[Any], Any]) -> Base:
    """
    Multiplies the the leaves specified by parameters with values.

    Parameters
    ----------
    parameters : Params
        A param or list of parameters or list of nested parameters.
    values : Union[List[Any], Any]
        The list of values to multiply the leaves specified by parameters.

    Returns
    -------
    pytree : Base
        The pytree with values multiplied by leaves specified by parameters.
    """
    new_parameters, new_values = _format(parameters, values)
    new_values = [leaf * value for value, leaf in zip(new_values, \
                                _get_leaves(self, new_parameters))]

    # Define 'where' function and update pytree
    leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
    return tree_at(leaves_fn, self, new_values,
                  is_leaf = lambda leaf: leaf is None)

power(parameters, values) ¤

Raises th leaves specified by parameters to the power of values.

Parameters:

Name Type Description Default
parameters Params

A param or list of parameters or list of nested parameters.

 required
values Union[List[Any], Any]

The list of values to take the leaves specified by parameters to the power of.

 required

Returns:

Name Type Description
pytree Base

The pytree with the leaves specified by parameters raised to the power of values.
Source code in zodiax/base.py 
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def power(self       : Base,
          parameters : Params,
          values     : Union[List[Any], Any]) -> Base:
    """
    Raises th leaves specified by parameters to the power of values.

    Parameters
    ----------
    parameters : Params
        A param or list of parameters or list of nested parameters.
    values : Union[List[Any], Any]
        The list of values to take the leaves specified by parameters to the
        power of.

    Returns
    -------
    pytree : Base
        The pytree with the leaves specified by parameters raised to the power
        of values.
    """
    new_parameters, new_values = _format(parameters, values)
    new_values = [leaf ** value for value, leaf in zip(new_values, \
                                _get_leaves(self, new_parameters))]

    # Define 'where' function and update pytree
    leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
    return tree_at(leaves_fn, self, new_values,
                  is_leaf = lambda leaf: leaf is None)

set(parameters, values) ¤

Set the leaves specified by parameters with values.

Parameters:

Name Type Description Default
parameters Params

A param or list of parameters or list of nested parameters.

 required
values Union[List[Any], Any]

The list of values to set at the leaves specified by parameters.

 required

Returns:

Name Type Description
pytree Base

The pytree with leaves specified by parameters updated with values.
Source code in zodiax/base.py 
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def set(self       : Base,
        parameters : Params,
        values     : Union[List[Any], Any]) -> Base:
    """
    Set the leaves specified by parameters with values.

    Parameters
    ----------
    parameters : Params
        A param or list of parameters or list of nested parameters.
    values : Union[List[Any], Any]
        The list of values to set at the leaves specified by parameters.

    Returns
    -------
    pytree : Base
        The pytree with leaves specified by parameters updated with values.
    """
    # Allow None inputs
    if values is None:
        values = [None]
        if isinstance(parameters, str):
            parameters = [parameters]
    new_parameters, new_values = _format(parameters, values)

    # Define 'where' function and update pytree
    leaves_fn = lambda pytree: _get_leaves(pytree, new_parameters)
    return tree_at(leaves_fn, self, new_values,
                  is_leaf = lambda leaf: leaf is None)

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