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from .add_edges import add_edges | ||
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from .beliefs_propagation import beliefs_propagation | ||
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from .fill_categorical_state_node import fill_categorical_state_node | ||
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from .get_input_idxs import get_input_idxs | ||
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from .get_update_sequence import get_update_sequence | ||
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from .list_branches import list_branches | ||
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from .to_pandas import to_pandas | ||
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__all__ = [ | ||
"add_edges", | ||
"beliefs_propagation", | ||
"fill_categorical_state_node", | ||
"get_input_idxs", | ||
"get_update_sequence", | ||
"list_branches", | ||
"to_pandas", | ||
] |
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# Author: Nicolas Legrand <nicolas.legrand@cas.au.dk> | ||
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from functools import partial | ||
from typing import TYPE_CHECKING, Callable, Dict, List, Optional, Tuple, Union | ||
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import jax.numpy as jnp | ||
import numpy as np | ||
import pandas as pd | ||
from jax import jit | ||
from jax.tree_util import Partial | ||
from jax.typing import ArrayLike | ||
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from pyhgf.math import binary_surprise, gaussian_surprise | ||
from pyhgf.typing import AdjacencyLists, Attributes, Edges, Sequence, UpdateSequence | ||
from pyhgf.updates.observation import set_observation | ||
from pyhgf.updates.posterior.categorical import categorical_state_update | ||
from pyhgf.updates.posterior.continuous import ( | ||
continuous_node_posterior_update, | ||
continuous_node_posterior_update_ehgf, | ||
) | ||
from pyhgf.updates.prediction.binary import binary_state_node_prediction | ||
from pyhgf.updates.prediction.continuous import continuous_node_prediction | ||
from pyhgf.updates.prediction.dirichlet import dirichlet_node_prediction | ||
from pyhgf.updates.prediction_error.binary import binary_state_node_prediction_error | ||
from pyhgf.updates.prediction_error.categorical import ( | ||
categorical_state_prediction_error, | ||
) | ||
from pyhgf.updates.prediction_error.continuous import continuous_node_prediction_error | ||
from pyhgf.updates.prediction_error.dirichlet import dirichlet_node_prediction_error | ||
from pyhgf.updates.prediction_error.exponential import ( | ||
prediction_error_update_exponential_family, | ||
) | ||
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if TYPE_CHECKING: | ||
from pyhgf.model import Network | ||
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def add_edges( | ||
attributes: Dict, | ||
edges: Edges, | ||
kind="value", | ||
parent_idxs=Union[int, List[int]], | ||
children_idxs=Union[int, List[int]], | ||
coupling_strengths: Union[float, List[float], Tuple[float]] = 1.0, | ||
coupling_fn: Tuple[Optional[Callable], ...] = (None,), | ||
) -> Tuple: | ||
"""Add a value or volatility coupling link between a set of nodes. | ||
Parameters | ||
---------- | ||
attributes : | ||
Attributes of the neural network. | ||
edges : | ||
Edges of the neural network. | ||
kind : | ||
The kind of coupling can be `"value"` or `"volatility"`. | ||
parent_idxs : | ||
The index(es) of the parent node(s). | ||
children_idxs : | ||
The index(es) of the children node(s). | ||
coupling_strengths : | ||
The coupling strength between the parents and children. | ||
coupling_fn : | ||
Coupling function(s) between the current node and its value children. | ||
It has to be provided as a tuple. If multiple value children are specified, | ||
the coupling functions must be stated in the same order of the children. | ||
Note: if a node has multiple parents nodes with different coupling | ||
functions, a coupling function should be indicated for all the parent nodes. | ||
If no coupling function is stated, the relationship between nodes is assumed | ||
linear. | ||
""" | ||
if kind not in ["value", "volatility"]: | ||
raise ValueError( | ||
f"The kind of coupling should be value or volatility, got {kind}" | ||
) | ||
if isinstance(children_idxs, int): | ||
children_idxs = [children_idxs] | ||
assert isinstance(children_idxs, (list, tuple)) | ||
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if isinstance(parent_idxs, int): | ||
parent_idxs = [parent_idxs] | ||
assert isinstance(parent_idxs, (list, tuple)) | ||
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if isinstance(coupling_strengths, int): | ||
coupling_strengths = [float(coupling_strengths)] | ||
if isinstance(coupling_strengths, float): | ||
coupling_strengths = [coupling_strengths] | ||
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assert isinstance(coupling_strengths, (list, tuple)) | ||
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edges_as_list = list(edges) | ||
# update the parent nodes | ||
# ----------------------- | ||
for parent_idx in parent_idxs: | ||
# unpack the parent's edges | ||
( | ||
node_type, | ||
value_parents, | ||
volatility_parents, | ||
value_children, | ||
volatility_children, | ||
this_coupling_fn, | ||
) = edges_as_list[parent_idx] | ||
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if kind == "value": | ||
if value_children is None: | ||
value_children = tuple(children_idxs) | ||
attributes[parent_idx]["value_coupling_children"] = tuple( | ||
coupling_strengths | ||
) | ||
else: | ||
value_children = value_children + tuple(children_idxs) | ||
attributes[parent_idx]["value_coupling_children"] += tuple( | ||
coupling_strengths | ||
) | ||
this_coupling_fn = this_coupling_fn + coupling_fn | ||
elif kind == "volatility": | ||
if volatility_children is None: | ||
volatility_children = tuple(children_idxs) | ||
attributes[parent_idx]["volatility_coupling_children"] = tuple( | ||
coupling_strengths | ||
) | ||
else: | ||
volatility_children = volatility_children + tuple(children_idxs) | ||
attributes[parent_idx]["volatility_coupling_children"] += tuple( | ||
coupling_strengths | ||
) | ||
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# save the updated edges back | ||
edges_as_list[parent_idx] = AdjacencyLists( | ||
node_type, | ||
value_parents, | ||
volatility_parents, | ||
value_children, | ||
volatility_children, | ||
this_coupling_fn, | ||
) | ||
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# update the children nodes | ||
# ------------------------- | ||
for children_idx in children_idxs: | ||
# unpack this node's edges | ||
( | ||
node_type, | ||
value_parents, | ||
volatility_parents, | ||
value_children, | ||
volatility_children, | ||
coupling_fn, | ||
) = edges_as_list[children_idx] | ||
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if kind == "value": | ||
if value_parents is None: | ||
value_parents = tuple(parent_idxs) | ||
attributes[children_idx]["value_coupling_parents"] = tuple( | ||
coupling_strengths | ||
) | ||
else: | ||
value_parents = value_parents + tuple(parent_idxs) | ||
attributes[children_idx]["value_coupling_parents"] += tuple( | ||
coupling_strengths | ||
) | ||
elif kind == "volatility": | ||
if volatility_parents is None: | ||
volatility_parents = tuple(parent_idxs) | ||
attributes[children_idx]["volatility_coupling_parents"] = tuple( | ||
coupling_strengths | ||
) | ||
else: | ||
volatility_parents = volatility_parents + tuple(parent_idxs) | ||
attributes[children_idx]["volatility_coupling_parents"] += tuple( | ||
coupling_strengths | ||
) | ||
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# save the updated edges back | ||
edges_as_list[children_idx] = AdjacencyLists( | ||
node_type, | ||
value_parents, | ||
volatility_parents, | ||
value_children, | ||
volatility_children, | ||
coupling_fn, | ||
) | ||
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# convert the list back to a tuple | ||
edges = tuple(edges_as_list) | ||
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return attributes, edges | ||
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# Author: Nicolas Legrand <nicolas.legrand@cas.au.dk> | ||
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from functools import partial | ||
from typing import TYPE_CHECKING, Callable, Dict, List, Optional, Tuple, Union | ||
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import jax.numpy as jnp | ||
import numpy as np | ||
import pandas as pd | ||
from jax import jit | ||
from jax.tree_util import Partial | ||
from jax.typing import ArrayLike | ||
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from pyhgf.math import binary_surprise, gaussian_surprise | ||
from pyhgf.typing import AdjacencyLists, Attributes, Edges, Sequence, UpdateSequence | ||
from pyhgf.updates.observation import set_observation | ||
from pyhgf.updates.posterior.categorical import categorical_state_update | ||
from pyhgf.updates.posterior.continuous import ( | ||
continuous_node_posterior_update, | ||
continuous_node_posterior_update_ehgf, | ||
) | ||
from pyhgf.updates.prediction.binary import binary_state_node_prediction | ||
from pyhgf.updates.prediction.continuous import continuous_node_prediction | ||
from pyhgf.updates.prediction.dirichlet import dirichlet_node_prediction | ||
from pyhgf.updates.prediction_error.binary import binary_state_node_prediction_error | ||
from pyhgf.updates.prediction_error.categorical import ( | ||
categorical_state_prediction_error, | ||
) | ||
from pyhgf.updates.prediction_error.continuous import continuous_node_prediction_error | ||
from pyhgf.updates.prediction_error.dirichlet import dirichlet_node_prediction_error | ||
from pyhgf.updates.prediction_error.exponential import ( | ||
prediction_error_update_exponential_family, | ||
) | ||
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if TYPE_CHECKING: | ||
from pyhgf.model import Network | ||
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@partial(jit, static_argnames=("update_sequence", "edges", "input_idxs")) | ||
def beliefs_propagation( | ||
attributes: Attributes, | ||
inputs: Tuple[ArrayLike, ...], | ||
update_sequence: UpdateSequence, | ||
edges: Edges, | ||
input_idxs: Tuple[int], | ||
) -> Tuple[Dict, Dict]: | ||
"""Update the network's parameters after observing new data point(s). | ||
This function performs the beliefs propagation step. Belief propagation consists in: | ||
1. A prediction sequence, from the leaves of the graph to the roots. | ||
2. The assignation of new observations to target nodes (usually the roots of the | ||
network) | ||
3. An inference step alternating between prediction errors and posterior updates, | ||
starting from the roots of the network to the leaves. | ||
This function returns a tuple of two new `parameter_structure` (i.e. the carryover | ||
and the accumulated in the context of :py:func:`jax.lax.scan`). | ||
Parameters | ||
---------- | ||
attributes : | ||
The dictionaries of nodes' parameters. This variable is updated and returned | ||
after the beliefs propagation step. | ||
inputs : | ||
A tuple of n by time steps arrays containing the new observation(s), the time | ||
steps as well as a boolean mask for observed values. The new observations are a | ||
tuple of array, with length equal to the number of input nodes. Each input node | ||
can receive observations The time steps are the last | ||
column of the array, the default is unit incrementation. | ||
update_sequence : | ||
The sequence of updates that will be applied to the node structure. | ||
edges : | ||
Information on the network's edges. | ||
input_idxs : | ||
List input indexes. | ||
Returns | ||
------- | ||
attributes, attributes : | ||
A tuple of parameters structure (carryover and accumulated). | ||
""" | ||
prediction_steps, update_steps = update_sequence | ||
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# unpack input data - input_values is a tuple of n x time steps arrays | ||
(*input_data, time_step) = inputs | ||
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attributes[-1]["time_step"] = time_step | ||
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# Prediction sequence | ||
# ------------------- | ||
for step in prediction_steps: | ||
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node_idx, update_fn = step | ||
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attributes = update_fn( | ||
attributes=attributes, | ||
node_idx=node_idx, | ||
edges=edges, | ||
) | ||
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# Observations | ||
# ------------ | ||
for values, observed, node_idx in zip( | ||
input_data[::2], input_data[1::2], input_idxs | ||
): | ||
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attributes = set_observation( | ||
attributes=attributes, | ||
node_idx=node_idx, | ||
values=values, | ||
observed=observed, | ||
) | ||
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# Update sequence | ||
# --------------- | ||
for step in update_steps: | ||
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node_idx, update_fn = step | ||
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attributes = update_fn( | ||
attributes=attributes, | ||
node_idx=node_idx, | ||
edges=edges, | ||
) | ||
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return ( | ||
attributes, | ||
attributes, | ||
) # ("carryover", "accumulated") | ||
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