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| from collections.abc import Sequence |
| from typing import Any, List, Optional, Union |
|
|
| import torch |
| from torch import Tensor |
| from torch.nn import Module |
|
|
| from torchmetrics.image.fid import NoTrainInceptionV3 |
| from torchmetrics.metric import Metric |
| from torchmetrics.utilities import rank_zero_warn |
| from torchmetrics.utilities.data import dim_zero_cat |
| from torchmetrics.utilities.imports import _MATPLOTLIB_AVAILABLE, _TORCH_FIDELITY_AVAILABLE |
| from torchmetrics.utilities.plot import _AX_TYPE, _PLOT_OUT_TYPE |
|
|
| if not _MATPLOTLIB_AVAILABLE: |
| __doctest_skip__ = ["KernelInceptionDistance.plot"] |
|
|
| __doctest_requires__ = {("KernelInceptionDistance", "KernelInceptionDistance.plot"): ["torch_fidelity"]} |
|
|
|
|
| def maximum_mean_discrepancy(k_xx: Tensor, k_xy: Tensor, k_yy: Tensor) -> Tensor: |
| """Adapted from `KID Score`_.""" |
| m = k_xx.shape[0] |
|
|
| diag_x = torch.diag(k_xx) |
| diag_y = torch.diag(k_yy) |
|
|
| kt_xx_sums = k_xx.sum(dim=-1) - diag_x |
| kt_yy_sums = k_yy.sum(dim=-1) - diag_y |
| k_xy_sums = k_xy.sum(dim=0) |
|
|
| kt_xx_sum = kt_xx_sums.sum() |
| kt_yy_sum = kt_yy_sums.sum() |
| k_xy_sum = k_xy_sums.sum() |
|
|
| value = (kt_xx_sum + kt_yy_sum) / (m * (m - 1)) |
| value -= 2 * k_xy_sum / (m**2) |
| return value |
|
|
|
|
| def poly_kernel(f1: Tensor, f2: Tensor, degree: int = 3, gamma: Optional[float] = None, coef: float = 1.0) -> Tensor: |
| """Adapted from `KID Score`_.""" |
| if gamma is None: |
| gamma = 1.0 / f1.shape[1] |
| return (f1 @ f2.T * gamma + coef) ** degree |
|
|
|
|
| def poly_mmd( |
| f_real: Tensor, f_fake: Tensor, degree: int = 3, gamma: Optional[float] = None, coef: float = 1.0 |
| ) -> Tensor: |
| """Adapted from `KID Score`_.""" |
| k_11 = poly_kernel(f_real, f_real, degree, gamma, coef) |
| k_22 = poly_kernel(f_fake, f_fake, degree, gamma, coef) |
| k_12 = poly_kernel(f_real, f_fake, degree, gamma, coef) |
| return maximum_mean_discrepancy(k_11, k_12, k_22) |
|
|
|
|
| class KernelInceptionDistance(Metric): |
| r"""Calculate Kernel Inception Distance (KID) which is used to access the quality of generated images. |
| |
| .. math:: |
| KID = MMD(f_{real}, f_{fake})^2 |
| |
| where :math:`MMD` is the maximum mean discrepancy and :math:`I_{real}, I_{fake}` are extracted features |
| from real and fake images, see `kid ref1`_ for more details. In particular, calculating the MMD requires the |
| evaluation of a polynomial kernel function :math:`k` |
| |
| .. math:: |
| k(x,y) = (\gamma * x^T y + coef)^{degree} |
| |
| which controls the distance between two features. In practise the MMD is calculated over a number of |
| subsets to be able to both get the mean and standard deviation of KID. |
| |
| Using the default feature extraction (Inception v3 using the original weights from `kid ref2`_), the input is |
| expected to be mini-batches of 3-channel RGB images of shape ``(3xHxW)``. If argument ``normalize`` |
| is ``True`` images are expected to be dtype ``float`` and have values in the ``[0,1]`` range, else if |
| ``normalize`` is set to ``False`` images are expected to have dtype ``uint8`` and take values in the ``[0, 255]`` |
| range. All images will be resized to 299 x 299 which is the size of the original training data. The boolian |
| flag ``real`` determines if the images should update the statistics of the real distribution or the |
| fake distribution. |
| |
| Using custom feature extractor is also possible. One can give a torch.nn.Module as `feature` argument. This |
| custom feature extractor is expected to have output shape of ``(1, num_features)`` This would change the |
| used feature extractor from default (Inception v3) to the given network. ``normalize`` argument won't have any |
| effect and update method expects to have the tensor given to `imgs` argument to be in the correct shape and |
| type that is compatible to the custom feature extractor. |
| |
| .. hint:: |
| Using this metric with the default feature extractor requires that ``torch-fidelity`` |
| is installed. Either install as ``pip install torchmetrics[image]`` or |
| ``pip install torch-fidelity`` |
| |
| As input to ``forward`` and ``update`` the metric accepts the following input |
| |
| - ``imgs`` (:class:`~torch.Tensor`): tensor with images feed to the feature extractor of shape ``(N,C,H,W)`` |
| - ``real`` (`bool`): bool indicating if ``imgs`` belong to the real or the fake distribution |
| |
| As output of `forward` and `compute` the metric returns the following output |
| |
| - ``kid_mean`` (:class:`~torch.Tensor`): float scalar tensor with mean value over subsets |
| - ``kid_std`` (:class:`~torch.Tensor`): float scalar tensor with standard deviation value over subsets |
| |
| Args: |
| feature: Either an str, integer or ``nn.Module``: |
| |
| - an str or integer will indicate the inceptionv3 feature layer to choose. Can be one of the following: |
| 'logits_unbiased', 64, 192, 768, 2048 |
| - an ``nn.Module`` for using a custom feature extractor. Expects that its forward method returns |
| an ``(N,d)`` matrix where ``N`` is the batch size and ``d`` is the feature size. |
| |
| subsets: Number of subsets to calculate the mean and standard deviation scores over |
| subset_size: Number of randomly picked samples in each subset |
| degree: Degree of the polynomial kernel function |
| gamma: Scale-length of polynomial kernel. If set to ``None`` will be automatically set to the feature size |
| coef: Bias term in the polynomial kernel. |
| reset_real_features: Whether to also reset the real features. Since in many cases the real dataset does not |
| change, the features can cached them to avoid recomputing them which is costly. Set this to ``False`` if |
| your dataset does not change. |
| kwargs: Additional keyword arguments, see :ref:`Metric kwargs` for more info. |
| |
| Raises: |
| ValueError: |
| If ``feature`` is set to an ``int`` (default settings) and ``torch-fidelity`` is not installed |
| ValueError: |
| If ``feature`` is set to an ``int`` not in ``(64, 192, 768, 2048)`` |
| ValueError: |
| If ``subsets`` is not an integer larger than 0 |
| ValueError: |
| If ``subset_size`` is not an integer larger than 0 |
| ValueError: |
| If ``degree`` is not an integer larger than 0 |
| ValueError: |
| If ``gamma`` is neither ``None`` or a float larger than 0 |
| ValueError: |
| If ``coef`` is not an float larger than 0 |
| ValueError: |
| If ``reset_real_features`` is not an ``bool`` |
| |
| Example: |
| >>> from torch import randint |
| >>> from torchmetrics.image.kid import KernelInceptionDistance |
| >>> kid = KernelInceptionDistance(subset_size=50) |
| >>> # generate two slightly overlapping image intensity distributions |
| >>> imgs_dist1 = randint(0, 200, (100, 3, 299, 299), dtype=torch.uint8) |
| >>> imgs_dist2 = randint(100, 255, (100, 3, 299, 299), dtype=torch.uint8) |
| >>> kid.update(imgs_dist1, real=True) |
| >>> kid.update(imgs_dist2, real=False) |
| >>> kid.compute() |
| (tensor(0.0312), tensor(0.0025)) |
| |
| """ |
|
|
| higher_is_better: bool = False |
| is_differentiable: bool = False |
| full_state_update: bool = False |
| plot_lower_bound: float = 0.0 |
| plot_upper_bound: float = 1.0 |
|
|
| real_features: List[Tensor] |
| fake_features: List[Tensor] |
| inception: Module |
| feature_network: str = "inception" |
|
|
| def __init__( |
| self, |
| feature: Union[str, int, Module] = 2048, |
| subsets: int = 100, |
| subset_size: int = 1000, |
| degree: int = 3, |
| gamma: Optional[float] = None, |
| coef: float = 1.0, |
| reset_real_features: bool = True, |
| normalize: bool = False, |
| **kwargs: Any, |
| ) -> None: |
| super().__init__(**kwargs) |
|
|
| rank_zero_warn( |
| "Metric `Kernel Inception Distance` will save all extracted features in buffer." |
| " For large datasets this may lead to large memory footprint.", |
| UserWarning, |
| ) |
|
|
| self.used_custom_model = False |
|
|
| if isinstance(feature, (str, int)): |
| if not _TORCH_FIDELITY_AVAILABLE: |
| raise ModuleNotFoundError( |
| "Kernel Inception Distance metric requires that `Torch-fidelity` is installed." |
| " Either install as `pip install torchmetrics[image]` or `pip install torch-fidelity`." |
| ) |
| valid_int_input = ("logits_unbiased", 64, 192, 768, 2048) |
| if feature not in valid_int_input: |
| raise ValueError( |
| f"Integer input to argument `feature` must be one of {valid_int_input}, but got {feature}." |
| ) |
|
|
| self.inception: Module = NoTrainInceptionV3(name="inception-v3-compat", features_list=[str(feature)]) |
| elif isinstance(feature, Module): |
| self.inception = feature |
| self.used_custom_model = True |
| else: |
| raise TypeError("Got unknown input to argument `feature`") |
|
|
| if not (isinstance(subsets, int) and subsets > 0): |
| raise ValueError("Argument `subsets` expected to be integer larger than 0") |
| self.subsets = subsets |
|
|
| if not (isinstance(subset_size, int) and subset_size > 0): |
| raise ValueError("Argument `subset_size` expected to be integer larger than 0") |
| self.subset_size = subset_size |
|
|
| if not (isinstance(degree, int) and degree > 0): |
| raise ValueError("Argument `degree` expected to be integer larger than 0") |
| self.degree = degree |
|
|
| if gamma is not None and not (isinstance(gamma, float) and gamma > 0): |
| raise ValueError("Argument `gamma` expected to be `None` or float larger than 0") |
| self.gamma = gamma |
|
|
| if not (isinstance(coef, float) and coef > 0): |
| raise ValueError("Argument `coef` expected to be float larger than 0") |
| self.coef = coef |
|
|
| if not isinstance(reset_real_features, bool): |
| raise ValueError("Argument `reset_real_features` expected to be a bool") |
| self.reset_real_features = reset_real_features |
|
|
| if not isinstance(normalize, bool): |
| raise ValueError("Argument `normalize` expected to be a bool") |
| self.normalize = normalize |
|
|
| |
| self.add_state("real_features", [], dist_reduce_fx=None) |
| self.add_state("fake_features", [], dist_reduce_fx=None) |
|
|
| def update(self, imgs: Tensor, real: bool) -> None: |
| """Update the state with extracted features. |
| |
| Args: |
| imgs: Input img tensors to evaluate. If used custom feature extractor please |
| make sure dtype and size is correct for the model. |
| real: Whether given image is real or fake. |
| |
| """ |
| imgs = (imgs * 255).byte() if self.normalize and (not self.used_custom_model) else imgs |
| features = self.inception(imgs) |
|
|
| if real: |
| self.real_features.append(features) |
| else: |
| self.fake_features.append(features) |
|
|
| def compute(self) -> tuple[Tensor, Tensor]: |
| """Calculate KID score based on accumulated extracted features from the two distributions. |
| |
| Implementation inspired by `Fid Score`_ |
| |
| Returns: |
| kid_mean (:class:`~torch.Tensor`): float scalar tensor with mean value over subsets |
| kid_std (:class:`~torch.Tensor`): float scalar tensor with standard deviation value over subsets |
| |
| """ |
| real_features = dim_zero_cat(self.real_features) |
| fake_features = dim_zero_cat(self.fake_features) |
|
|
| n_samples_real = real_features.shape[0] |
| if n_samples_real < self.subset_size: |
| raise ValueError("Argument `subset_size` should be smaller than the number of samples") |
| n_samples_fake = fake_features.shape[0] |
| if n_samples_fake < self.subset_size: |
| raise ValueError("Argument `subset_size` should be smaller than the number of samples") |
|
|
| kid_scores_ = [] |
| for _ in range(self.subsets): |
| perm = torch.randperm(n_samples_real) |
| f_real = real_features[perm[: self.subset_size]] |
| perm = torch.randperm(n_samples_fake) |
| f_fake = fake_features[perm[: self.subset_size]] |
|
|
| o = poly_mmd(f_real, f_fake, self.degree, self.gamma, self.coef) |
| kid_scores_.append(o) |
| kid_scores = torch.stack(kid_scores_) |
| return kid_scores.mean(), kid_scores.std(unbiased=False) |
|
|
| def reset(self) -> None: |
| """Reset metric states.""" |
| if not self.reset_real_features: |
| |
| value = self._defaults.pop("real_features") |
| super().reset() |
| self._defaults["real_features"] = value |
| else: |
| super().reset() |
|
|
| def plot( |
| self, val: Optional[Union[Tensor, Sequence[Tensor]]] = None, ax: Optional[_AX_TYPE] = None |
| ) -> _PLOT_OUT_TYPE: |
| """Plot a single or multiple values from the metric. |
| |
| Args: |
| val: Either a single result from calling `metric.forward` or `metric.compute` or a list of these results. |
| If no value is provided, will automatically call `metric.compute` and plot that result. |
| ax: An matplotlib axis object. If provided will add plot to that axis |
| |
| Returns: |
| Figure and Axes object |
| |
| Raises: |
| ModuleNotFoundError: |
| If `matplotlib` is not installed |
| |
| .. plot:: |
| :scale: 75 |
| |
| >>> # Example plotting a single value |
| >>> import torch |
| >>> from torchmetrics.image.kid import KernelInceptionDistance |
| >>> imgs_dist1 = torch.randint(0, 200, (30, 3, 299, 299), dtype=torch.uint8) |
| >>> imgs_dist2 = torch.randint(100, 255, (30, 3, 299, 299), dtype=torch.uint8) |
| >>> metric = KernelInceptionDistance(subsets=3, subset_size=20) |
| >>> metric.update(imgs_dist1, real=True) |
| >>> metric.update(imgs_dist2, real=False) |
| >>> fig_, ax_ = metric.plot() |
| |
| .. plot:: |
| :scale: 75 |
| |
| >>> # Example plotting multiple values |
| >>> import torch |
| >>> from torchmetrics.image.kid import KernelInceptionDistance |
| >>> imgs_dist1 = lambda: torch.randint(0, 200, (30, 3, 299, 299), dtype=torch.uint8) |
| >>> imgs_dist2 = lambda: torch.randint(100, 255, (30, 3, 299, 299), dtype=torch.uint8) |
| >>> metric = KernelInceptionDistance(subsets=3, subset_size=20) |
| >>> values = [ ] |
| >>> for _ in range(3): |
| ... metric.update(imgs_dist1(), real=True) |
| ... metric.update(imgs_dist2(), real=False) |
| ... values.append(metric.compute()[0]) |
| ... metric.reset() |
| >>> fig_, ax_ = metric.plot(values) |
| |
| """ |
| val = val or self.compute()[0] |
| return self._plot(val, ax) |
|
|