# This code is part of a Qiskit project.
#
# (C) Copyright IBM 2020, 2023.
#
# This code is licensed under the Apache License, Version 2.0. You may
# obtain a copy of this license in the LICENSE.txt file in the root directory
# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
#
# Any modifications or derivative works of this code must retain this
# copyright notice, and modified files need to carry a notice indicating
# that they have been altered from the originals.
"""A Neural Network abstract class for all (quantum) neural networks within Qiskit
Machine Learning module."""
from __future__ import annotations
from abc import ABC, abstractmethod
import numpy as np
import qiskit_machine_learning.optionals as _optionals
from ..exceptions import QiskitMachineLearningError
if _optionals.HAS_SPARSE:
# pylint: disable=import-error
from sparse import SparseArray
else:
class SparseArray: # type: ignore
"""Empty SparseArray class
Replacement if sparse.SparseArray is not present.
"""
pass
[문서]class NeuralNetwork(ABC):
"""Abstract Neural Network class providing forward and backward pass and handling
batched inputs. This is to be implemented by other (quantum) neural networks.
"""
def __init__(
self,
num_inputs: int,
num_weights: int,
sparse: bool,
output_shape: int | tuple[int, ...],
input_gradients: bool = False,
) -> None:
"""
Args:
num_inputs: The number of input features.
num_weights: The number of trainable weights.
sparse: Determines whether the output is a sparse array or not.
output_shape: The shape of the output.
input_gradients: Determines whether to compute gradients with respect to input data.
Raises:
QiskitMachineLearningError: Invalid parameter values.
"""
if num_inputs < 0:
raise QiskitMachineLearningError(f"Number of inputs cannot be negative: {num_inputs}!")
self._num_inputs = num_inputs
if num_weights < 0:
raise QiskitMachineLearningError(
f"Number of weights cannot be negative: {num_weights}!"
)
self._num_weights = num_weights
self._sparse = sparse
# output shape may be derived later, so check it only if it is not None
if output_shape is not None:
self._output_shape = self._validate_output_shape(output_shape)
self._input_gradients = input_gradients
@property
def num_inputs(self) -> int:
"""Returns the number of input features."""
return self._num_inputs
@property
def num_weights(self) -> int:
"""Returns the number of trainable weights."""
return self._num_weights
@property
def sparse(self) -> bool:
"""Returns whether the output is sparse or not."""
return self._sparse
@property
def output_shape(self) -> tuple[int, ...]:
"""Returns the output shape."""
return self._output_shape
@property
def input_gradients(self) -> bool:
"""Returns whether gradients with respect to input data are computed by this neural network
in the ``backward`` method or not. By default such gradients are not computed."""
return self._input_gradients
@input_gradients.setter
def input_gradients(self, input_gradients: bool) -> None:
"""Turn on/off computation of gradients with respect to input data."""
self._input_gradients = input_gradients
def _validate_output_shape(self, output_shape):
if isinstance(output_shape, int):
output_shape = (output_shape,)
if not np.all([s > 0 for s in output_shape]):
raise QiskitMachineLearningError(
f"Invalid output shape, all components must be > 0, but got: {output_shape}."
)
return output_shape
def _validate_input(
self, input_data: float | list[float] | np.ndarray | None
) -> tuple[np.ndarray | None, tuple[int, ...] | None]:
if input_data is None:
return None, None
input_ = np.array(input_data)
shape = input_.shape
if len(shape) == 0:
# there's a single value in the input.
input_ = input_.reshape((1, 1))
return input_, shape
if shape[-1] != self._num_inputs:
raise QiskitMachineLearningError(
f"Input data has incorrect shape, last dimension "
f"is not equal to the number of inputs: "
f"{self._num_inputs}, but got: {shape[-1]}."
)
if len(shape) == 1:
# add an empty dimension for samples (batch dimension)
input_ = input_.reshape((1, -1))
elif len(shape) > 2:
# flatten lower dimensions, keep num_inputs as a last dimension
input_ = input_.reshape((np.prod(input_.shape[:-1]), -1))
return input_, shape
def _preprocess_forward(
self,
input_data: np.ndarray | None,
weights: np.ndarray | None,
) -> tuple[np.ndarray | None, int | None]:
"""
Pre-processing during forward pass of the network for the primitive-based networks.
"""
if input_data is not None:
num_samples = input_data.shape[0]
if weights is not None:
weights = np.broadcast_to(weights, (num_samples, len(weights)))
parameters = np.concatenate((input_data, weights), axis=1)
else:
parameters = input_data
else:
if weights is not None:
num_samples = 1
parameters = np.broadcast_to(weights, (num_samples, len(weights)))
else:
# no input, no weights, just execute circuit once
num_samples = 1
parameters = np.asarray([])
return parameters, num_samples
def _validate_weights(
self, weights: float | list[float] | np.ndarray | None
) -> np.ndarray | None:
if weights is None:
return None
weights_ = np.array(weights)
return weights_.reshape(self._num_weights)
def _validate_forward_output(
self, output_data: np.ndarray, original_shape: tuple[int, ...]
) -> np.ndarray:
if original_shape and len(original_shape) >= 2:
output_data = output_data.reshape((*original_shape[:-1], *self._output_shape))
return output_data
def _validate_backward_output(
self,
input_grad: np.ndarray,
weight_grad: np.ndarray,
original_shape: tuple[int, ...],
) -> tuple[np.ndarray | SparseArray, np.ndarray | SparseArray]:
if input_grad is not None and np.prod(input_grad.shape) == 0:
input_grad = None
if input_grad is not None and original_shape and len(original_shape) >= 2:
input_grad = input_grad.reshape(
(*original_shape[:-1], *self._output_shape, self._num_inputs)
)
if weight_grad is not None and np.prod(weight_grad.shape) == 0:
weight_grad = None
if weight_grad is not None and original_shape and len(original_shape) >= 2:
weight_grad = weight_grad.reshape(
(*original_shape[:-1], *self._output_shape, self._num_weights)
)
return input_grad, weight_grad
[문서] def forward(
self,
input_data: float | list[float] | np.ndarray | None,
weights: float | list[float] | np.ndarray | None,
) -> np.ndarray | SparseArray:
"""Forward pass of the network.
Args:
input_data: input data of the shape (num_inputs). In case of a single scalar input it is
directly cast to and interpreted like a one-element array.
weights: trainable weights of the shape (num_weights). In case of a single scalar weight
it is directly cast to and interpreted like a one-element array.
Returns:
The result of the neural network of the shape (output_shape).
"""
input_, shape = self._validate_input(input_data)
weights_ = self._validate_weights(weights)
output_data = self._forward(input_, weights_)
return self._validate_forward_output(output_data, shape)
@abstractmethod
def _forward(
self, input_data: np.ndarray | None, weights: np.ndarray | None
) -> np.ndarray | SparseArray:
raise NotImplementedError
[문서] def backward(
self,
input_data: float | list[float] | np.ndarray | None,
weights: float | list[float] | np.ndarray | None,
) -> tuple[np.ndarray | SparseArray | None, np.ndarray | SparseArray | None]:
"""Backward pass of the network.
Args:
input_data: input data of the shape (num_inputs). In case of a
single scalar input it is directly cast to and interpreted like a one-element array.
weights: trainable weights of the shape (num_weights). In case of a single scalar weight
it is directly cast to and interpreted like a one-element array.
Returns:
The result of the neural network of the backward pass, i.e., a tuple with the gradients
for input and weights of shape (output_shape, num_input) and
(output_shape, num_weights), respectively.
"""
input_, shape = self._validate_input(input_data)
weights_ = self._validate_weights(weights)
input_grad, weight_grad = self._backward(input_, weights_)
input_grad_reshaped, weight_grad_reshaped = self._validate_backward_output(
input_grad, weight_grad, shape
)
return input_grad_reshaped, weight_grad_reshaped
@abstractmethod
def _backward(
self, input_data: np.ndarray | None, weights: np.ndarray | None
) -> tuple[np.ndarray | SparseArray | None, np.ndarray | SparseArray | None]:
raise NotImplementedError