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training: move nCC metric/loss to .metrics and rename…
- `num_connected_components_regression` → `connected_components_loss` - move from training.train to training.metrics
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2 changed files with 88 additions and 87 deletions
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@ -5,6 +5,7 @@ import tensorflow as tf
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from tensorflow.keras import backend as K
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from tensorflow.keras.metrics import Metric, MeanMetricWrapper, get
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from tensorflow.keras.initializers import Zeros
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from tensorflow_addons.image import connected_components
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import numpy as np
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@ -439,3 +440,87 @@ class ConfusionMatrix(Metric):
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def get_config(self):
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return dict(nlabels=self._nlabels,
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**super().get_config())
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def connected_components_loss(artificial=0):
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"""
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metric/loss function capturing the separability of segmentation maps
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For both sides (true and predicted, resp.), computes
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1. the argmax() of class-wise softmax input (i.e. the segmentation map)
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2. the connected components (i.e. the instance label map)
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3. the max() (i.e. the highest label = nr of components)
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The original idea was to then calculate a regression formula
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between those two targets. But it is insufficient to just
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approximate the same number of components, for they might be
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completely different (true components being merged, predicted
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components splitting others). We really want to capture the
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correspondence between those labels, which is localised.
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For that we now calculate the label pairs and their counts.
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Looking at the M,N incidence matrix, we want those counts
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to be distributed orthogonally (ideally). So we compute a
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singular value decomposition and compare the sum total of
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singular values to the sum total of all label counts. The
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rate of the two determines a measure of congruence.
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Moreover, for the case of artificial boundary segments around
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regions, optionally introduced by the training extractor to
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represent segment identity in the loss (and removed at runtime):
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Reduce this class to background as well.
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"""
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def metric(y_true, y_pred):
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if artificial:
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# convert artificial border class to background
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y_true = y_true[:, :, :, :artificial]
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y_pred = y_pred[:, :, :, :artificial]
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# [B, H, W, C]
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l_true = tf.math.argmax(y_true, axis=-1)
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l_pred = tf.math.argmax(y_pred, axis=-1)
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# [B, H, W]
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c_true = tf.cast(connected_components(l_true), tf.int64)
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c_pred = tf.cast(connected_components(l_pred), tf.int64)
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# [B, H, W]
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n_batch = y_true.shape[0]
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C_true = tf.math.reduce_max(c_true, (1, 2)) + 1
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C_pred = tf.math.reduce_max(c_pred, (1, 2)) + 1
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MODULUS = tf.constant(2**22, tf.int64)
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tf.debugging.assert_less(C_true, MODULUS,
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message="cannot compare segments: too many connected components in GT")
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tf.debugging.assert_less(C_pred, MODULUS,
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message="cannot compare segments: too many connected components in prediction")
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c_comb = MODULUS * c_pred + c_true
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tf.debugging.assert_greater_equal(c_comb, tf.constant(0, tf.int64),
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message="overflow pairing components")
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# [B, H, W]
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# tf.unique does not support batch dim, so...
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results = []
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for c_comb, C_true, C_pred in zip(
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tf.unstack(c_comb, num=n_batch),
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tf.unstack(C_true, num=n_batch),
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tf.unstack(C_pred, num=n_batch),
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):
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prod, _, count = tf.unique_with_counts(tf.reshape(c_comb, (-1,)))
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# [L]
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#corr = tf.zeros([C_pred, C_true], tf.int32)
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#corr[prod // 2**24, prod % 2**24] = count
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corr = tf.scatter_nd(tf.stack([prod // MODULUS, prod % MODULUS], axis=1),
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count, (C_pred, C_true))
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corr = tf.cast(corr, tf.float32)
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# [Cpred, Ctrue]
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sgv = tf.linalg.svd(corr, compute_uv=False)
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results.append(tf.reduce_sum(sgv) / tf.reduce_sum(corr))
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return 1.0 - tf.reduce_mean(tf.stack(results), 0)
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# c_true = tf.reshape(c_true, (n_batch, -1))
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# c_pred = tf.reshape(c_pred, (n_batch, -1))
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# # [B, H*W]
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# n_true = tf.math.reduce_max(c_true, axis=1)
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# n_pred = tf.math.reduce_max(c_pred, axis=1)
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# # [B]
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# diff = tf.cast(n_true - n_pred, tf.float32)
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# return tf.reduce_mean(tf.math.abs(diff) + alpha * diff, axis=-1)
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metric.__name__ = 'nCC'
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metric._direction = 'down'
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return metric
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@ -16,7 +16,6 @@ from tensorflow.keras.callbacks import ModelCheckpoint, TensorBoard, EarlyStoppi
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from tensorflow.keras.layers import StringLookup
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from tensorflow.keras.utils import image_dataset_from_directory
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from tensorflow.keras.backend import one_hot
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from tensorflow_addons.image import connected_components
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from sacred import Experiment
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from sacred.config import create_captured_function
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@ -30,6 +29,7 @@ from .metrics import (
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get as get_metric,
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metrics_superposition,
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ConfusionMatrix,
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connected_components_loss,
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)
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from .models import (
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PatchEncoder,
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@ -83,90 +83,6 @@ def configuration():
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except:
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print("no GPU device available", file=sys.stderr)
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def num_connected_components_regression(artificial=0):
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"""
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metric/loss function capturing the separability of segmentation maps
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For both sides (true and predicted, resp.), computes
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1. the argmax() of class-wise softmax input (i.e. the segmentation map)
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2. the connected components (i.e. the instance label map)
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3. the max() (i.e. the highest label = nr of components)
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The original idea was to then calculate a regression formula
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between those two targets. But it is insufficient to just
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approximate the same number of components, for they might be
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completely different (true components being merged, predicted
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components splitting others). We really want to capture the
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correspondence between those labels, which is localised.
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For that we now calculate the label pairs and their counts.
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Looking at the M,N incidence matrix, we want those counts
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to be distributed orthogonally (ideally). So we compute a
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singular value decomposition and compare the sum total of
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singular values to the sum total of all label counts. The
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rate of the two determines a measure of congruence.
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Moreover, for the case of artificial boundary segments around
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regions, optionally introduced by the training extractor to
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represent segment identity in the loss (and removed at runtime):
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Reduce this class to background as well.
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"""
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def metric(y_true, y_pred):
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if artificial:
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# convert artificial border class to background
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y_true = y_true[:, :, :, :artificial]
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y_pred = y_pred[:, :, :, :artificial]
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# [B, H, W, C]
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l_true = tf.math.argmax(y_true, axis=-1)
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l_pred = tf.math.argmax(y_pred, axis=-1)
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# [B, H, W]
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c_true = tf.cast(connected_components(l_true), tf.int64)
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c_pred = tf.cast(connected_components(l_pred), tf.int64)
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# [B, H, W]
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#n_batch = tf.shape(y_true)[0]
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n_batch = y_true.shape[0]
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C_true = tf.math.reduce_max(c_true, (1, 2)) + 1
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C_pred = tf.math.reduce_max(c_pred, (1, 2)) + 1
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MODULUS = tf.constant(2**22, tf.int64)
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tf.debugging.assert_less(C_true, MODULUS,
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message="cannot compare segments: too many connected components in GT")
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tf.debugging.assert_less(C_pred, MODULUS,
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message="cannot compare segments: too many connected components in prediction")
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c_comb = MODULUS * c_pred + c_true
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tf.debugging.assert_greater_equal(c_comb, tf.constant(0, tf.int64),
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message="overflow pairing components")
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# [B, H, W]
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# tf.unique does not support batch dim, so...
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results = []
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for c_comb, C_true, C_pred in zip(
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tf.unstack(c_comb, num=n_batch),
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tf.unstack(C_true, num=n_batch),
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tf.unstack(C_pred, num=n_batch),
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):
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prod, _, count = tf.unique_with_counts(tf.reshape(c_comb, (-1,)))
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#tf.print(n_batch, tf.shape(prod), C_true, C_true)
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# [L]
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#corr = tf.zeros([C_pred, C_true], tf.int32)
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#corr[prod // 2**24, prod % 2**24] = count
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corr = tf.scatter_nd(tf.stack([prod // MODULUS, prod % MODULUS], axis=1),
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count, (C_pred, C_true))
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corr = tf.cast(corr, tf.float32)
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# [Cpred, Ctrue]
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sgv = tf.linalg.svd(corr, compute_uv=False)
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results.append(tf.reduce_sum(sgv) / tf.reduce_sum(corr))
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return 1.0 - tf.reduce_mean(tf.stack(results), 0)
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# c_true = tf.reshape(c_true, (n_batch, -1))
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# c_pred = tf.reshape(c_pred, (n_batch, -1))
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# # [B, H*W]
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# n_true = tf.math.reduce_max(c_true, axis=1)
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# n_pred = tf.math.reduce_max(c_pred, axis=1)
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# # [B]
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# diff = tf.cast(n_true - n_pred, tf.float32)
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# return tf.reduce_mean(tf.math.abs(diff) + alpha * diff, axis=-1)
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metric.__name__ = 'nCC'
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return metric
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def plot_layout_tf(in_: tf.Tensor, out:tf.Tensor) -> tf.Tensor:
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"""
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Implements training.inference.SBBPredict.visualize_model_output for TF
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@ -659,9 +575,9 @@ def run(_config,
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else:
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loss = get_metric('categorical_crossentropy')
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if add_ncc_loss:
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loss = metrics_superposition(loss, num_connected_components_regression(n_classes - 1),
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loss = metrics_superposition(loss, connected_components_loss(n_classes - 1),
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weights=[1 - add_ncc_loss, add_ncc_loss])
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metrics.append(num_connected_components_regression(n_classes - 1))
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metrics.append(connected_components_loss(n_classes - 1))
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metrics.append(MeanIoU(n_classes,
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name='iou',
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ignore_class=0,
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