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authorVincent Rouvreau <vincent.rouvreau@inria.fr>2022-08-05 10:18:19 +0200
committerVincent Rouvreau <vincent.rouvreau@inria.fr>2022-08-05 10:18:19 +0200
commit2b4bf47e209225a56687b2a7fa65b27ef4b00ab2 (patch)
treee876553cc2f8c18e0f504a33b26230d0e3e491ed /src/python/gudhi
parent3253e504a0564bc75ffd4b1351e800593ffefd0f (diff)
parent7fa45f4f0c7fb89abf64bc61b26a6201ace16a7a (diff)
Merge master and fix conflicts
Diffstat (limited to 'src/python/gudhi')
-rw-r--r--src/python/gudhi/simplex_tree.pyx6
-rw-r--r--src/python/gudhi/tensorflow/__init__.py5
-rw-r--r--src/python/gudhi/tensorflow/cubical_layer.py82
-rw-r--r--src/python/gudhi/tensorflow/lower_star_simplex_tree_layer.py87
-rw-r--r--src/python/gudhi/tensorflow/rips_layer.py93
5 files changed, 270 insertions, 3 deletions
diff --git a/src/python/gudhi/simplex_tree.pyx b/src/python/gudhi/simplex_tree.pyx
index 521a7763..05bfe22e 100644
--- a/src/python/gudhi/simplex_tree.pyx
+++ b/src/python/gudhi/simplex_tree.pyx
@@ -487,9 +487,9 @@ cdef class SimplexTree:
otherwise it is kept. The algorithm then proceeds with the next candidate.
.. warning::
- Several candidates of the same dimension may be inserted simultaneously before calling `block_simplex`, so
- if you examine the complex in `block_simplex`, you may hit a few simplices of the same dimension that have
- not been vetted by `block_simplex` yet, or have already been rejected but not yet removed.
+ Several candidates of the same dimension may be inserted simultaneously before calling `blocker_func`, so
+ if you examine the complex in `blocker_func`, you may hit a few simplices of the same dimension that have
+ not been vetted by `blocker_func` yet, or have already been rejected but not yet removed.
:param max_dim: Expansion maximal dimension value.
:type max_dim: int
diff --git a/src/python/gudhi/tensorflow/__init__.py b/src/python/gudhi/tensorflow/__init__.py
new file mode 100644
index 00000000..1599cf52
--- /dev/null
+++ b/src/python/gudhi/tensorflow/__init__.py
@@ -0,0 +1,5 @@
+from .cubical_layer import CubicalLayer
+from .lower_star_simplex_tree_layer import LowerStarSimplexTreeLayer
+from .rips_layer import RipsLayer
+
+__all__ = ["LowerStarSimplexTreeLayer", "RipsLayer", "CubicalLayer"]
diff --git a/src/python/gudhi/tensorflow/cubical_layer.py b/src/python/gudhi/tensorflow/cubical_layer.py
new file mode 100644
index 00000000..3304e719
--- /dev/null
+++ b/src/python/gudhi/tensorflow/cubical_layer.py
@@ -0,0 +1,82 @@
+import numpy as np
+import tensorflow as tf
+from ..cubical_complex import CubicalComplex
+
+######################
+# Cubical filtration #
+######################
+
+# The parameters of the model are the pixel values.
+
+def _Cubical(Xflat, Xdim, dimensions, homology_coeff_field):
+ # Parameters: Xflat (flattened image),
+ # Xdim (shape of non-flattened image)
+ # dimensions (homology dimensions)
+
+ # Compute the persistence pairs with Gudhi
+ # We reverse the dimensions because CubicalComplex uses Fortran ordering
+ cc = CubicalComplex(dimensions=Xdim[::-1], top_dimensional_cells=Xflat)
+ cc.compute_persistence(homology_coeff_field=homology_coeff_field)
+
+ # Retrieve and ouput image indices/pixels corresponding to positive and negative simplices
+ cof_pp = cc.cofaces_of_persistence_pairs()
+
+ L_cofs = []
+ for dim in dimensions:
+
+ try:
+ cof = cof_pp[0][dim]
+ except IndexError:
+ cof = np.array([])
+
+ L_cofs.append(np.array(cof, dtype=np.int32))
+
+ return L_cofs
+
+class CubicalLayer(tf.keras.layers.Layer):
+ """
+ TensorFlow layer for computing the persistent homology of a cubical complex
+ """
+ def __init__(self, homology_dimensions, min_persistence=None, homology_coeff_field=11, **kwargs):
+ """
+ Constructor for the CubicalLayer class
+
+ Parameters:
+ homology_dimensions (List[int]): list of homology dimensions
+ min_persistence (List[float]): minimum distance-to-diagonal of the points in the output persistence diagrams (default None, in which case 0. is used for all dimensions)
+ homology_coeff_field (int): homology field coefficient. Must be a prime number. Default value is 11. Max is 46337.
+ """
+ super().__init__(dynamic=True, **kwargs)
+ self.dimensions = homology_dimensions
+ self.min_persistence = min_persistence if min_persistence != None else [0.] * len(self.dimensions)
+ self.hcf = homology_coeff_field
+ assert len(self.min_persistence) == len(self.dimensions)
+
+ def call(self, X):
+ """
+ Compute persistence diagram associated to a cubical complex filtered by some pixel values
+
+ Parameters:
+ X (TensorFlow variable): pixel values of the cubical complex
+
+ Returns:
+ List[Tuple[tf.Tensor,tf.Tensor]]: List of cubical persistence diagrams. The length of this list is the same than that of dimensions, i.e., there is one persistence diagram per homology dimension provided in the input list dimensions. Moreover, the finite and essential parts of the persistence diagrams are provided separately: each element of this list is a tuple of size two that contains the finite and essential parts of the corresponding persistence diagram, of shapes [num_finite_points, 2] and [num_essential_points, 1] respectively. Note that the essential part is always empty in cubical persistence diagrams, except in homology dimension zero, where the essential part always contains a single point, with abscissa equal to the smallest value in the complex, and infinite ordinate
+ """
+ # Compute pixels associated to positive and negative simplices
+ # Don't compute gradient for this operation
+ Xflat = tf.reshape(X, [-1])
+ Xdim, Xflat_numpy = X.shape, Xflat.numpy()
+ indices_list = _Cubical(Xflat_numpy, Xdim, self.dimensions, self.hcf)
+ index_essential = np.argmin(Xflat_numpy) # index of minimum pixel value for essential persistence diagram
+ # Get persistence diagram by simply picking the corresponding entries in the image
+ self.dgms = []
+ for idx_dim, dimension in enumerate(self.dimensions):
+ finite_dgm = tf.reshape(tf.gather(Xflat, indices_list[idx_dim]), [-1,2])
+ essential_dgm = tf.reshape(tf.gather(Xflat, index_essential), [-1,1]) if dimension == 0 else tf.zeros([0, 1])
+ min_pers = self.min_persistence[idx_dim]
+ if min_pers >= 0:
+ persistent_indices = tf.where(tf.math.abs(finite_dgm[:,1]-finite_dgm[:,0]) > min_pers)
+ self.dgms.append((tf.reshape(tf.gather(finite_dgm, indices=persistent_indices), [-1,2]), essential_dgm))
+ else:
+ self.dgms.append((finite_dgm, essential_dgm))
+ return self.dgms
diff --git a/src/python/gudhi/tensorflow/lower_star_simplex_tree_layer.py b/src/python/gudhi/tensorflow/lower_star_simplex_tree_layer.py
new file mode 100644
index 00000000..5a8e5b75
--- /dev/null
+++ b/src/python/gudhi/tensorflow/lower_star_simplex_tree_layer.py
@@ -0,0 +1,87 @@
+import numpy as np
+import tensorflow as tf
+
+#########################################
+# Lower star filtration on simplex tree #
+#########################################
+
+# The parameters of the model are the vertex function values of the simplex tree.
+
+def _LowerStarSimplexTree(simplextree, filtration, dimensions, homology_coeff_field):
+ # Parameters: simplextree (simplex tree on which to compute persistence)
+ # filtration (function values on the vertices of st),
+ # dimensions (homology dimensions),
+ # homology_coeff_field (homology field coefficient)
+
+ simplextree.reset_filtration(-np.inf, 0)
+
+ # Assign new filtration values
+ for i in range(simplextree.num_vertices()):
+ simplextree.assign_filtration([i], filtration[i])
+ simplextree.make_filtration_non_decreasing()
+
+ # Compute persistence diagram
+ simplextree.compute_persistence(homology_coeff_field=homology_coeff_field)
+
+ # Get vertex pairs for optimization. First, get all simplex pairs
+ pairs = simplextree.lower_star_persistence_generators()
+
+ L_indices = []
+ for dimension in dimensions:
+
+ finite_pairs = pairs[0][dimension] if len(pairs[0]) >= dimension+1 else np.empty(shape=[0,2])
+ essential_pairs = pairs[1][dimension] if len(pairs[1]) >= dimension+1 else np.empty(shape=[0,1])
+
+ finite_indices = np.array(finite_pairs.flatten(), dtype=np.int32)
+ essential_indices = np.array(essential_pairs.flatten(), dtype=np.int32)
+
+ L_indices.append((finite_indices, essential_indices))
+
+ return L_indices
+
+class LowerStarSimplexTreeLayer(tf.keras.layers.Layer):
+ """
+ TensorFlow layer for computing lower-star persistence out of a simplex tree
+ """
+ def __init__(self, simplextree, homology_dimensions, min_persistence=None, homology_coeff_field=11, **kwargs):
+ """
+ Constructor for the LowerStarSimplexTreeLayer class
+
+ Parameters:
+ simplextree (gudhi.SimplexTree): underlying simplex tree. Its vertices MUST be named with integers from 0 to n-1, where n is its number of vertices. Note that its filtration values are modified in each call of the class.
+ homology_dimensions (List[int]): list of homology dimensions
+ min_persistence (List[float]): minimum distance-to-diagonal of the points in the output persistence diagrams (default None, in which case 0. is used for all dimensions)
+ homology_coeff_field (int): homology field coefficient. Must be a prime number. Default value is 11. Max is 46337.
+ """
+ super().__init__(dynamic=True, **kwargs)
+ self.dimensions = homology_dimensions
+ self.simplextree = simplextree
+ self.min_persistence = min_persistence if min_persistence != None else [0. for _ in range(len(self.dimensions))]
+ self.hcf = homology_coeff_field
+ assert len(self.min_persistence) == len(self.dimensions)
+
+ def call(self, filtration):
+ """
+ Compute lower-star persistence diagram associated to a function defined on the vertices of the simplex tree
+
+ Parameters:
+ F (TensorFlow variable): filter function values over the vertices of the simplex tree. The ith entry of F corresponds to vertex i in self.simplextree
+
+ Returns:
+ List[Tuple[tf.Tensor,tf.Tensor]]: List of lower-star persistence diagrams. The length of this list is the same than that of dimensions, i.e., there is one persistence diagram per homology dimension provided in the input list dimensions. Moreover, the finite and essential parts of the persistence diagrams are provided separately: each element of this list is a tuple of size two that contains the finite and essential parts of the corresponding persistence diagram, of shapes [num_finite_points, 2] and [num_essential_points, 1] respectively
+ """
+ # Don't try to compute gradients for the vertex pairs
+ indices = _LowerStarSimplexTree(self.simplextree, filtration.numpy(), self.dimensions, self.hcf)
+ # Get persistence diagrams
+ self.dgms = []
+ for idx_dim, dimension in enumerate(self.dimensions):
+ finite_dgm = tf.reshape(tf.gather(filtration, indices[idx_dim][0]), [-1,2])
+ essential_dgm = tf.reshape(tf.gather(filtration, indices[idx_dim][1]), [-1,1])
+ min_pers = self.min_persistence[idx_dim]
+ if min_pers >= 0:
+ persistent_indices = tf.where(tf.math.abs(finite_dgm[:,1]-finite_dgm[:,0]) > min_pers)
+ self.dgms.append((tf.reshape(tf.gather(finite_dgm, indices=persistent_indices),[-1,2]), essential_dgm))
+ else:
+ self.dgms.append((finite_dgm, essential_dgm))
+ return self.dgms
+
diff --git a/src/python/gudhi/tensorflow/rips_layer.py b/src/python/gudhi/tensorflow/rips_layer.py
new file mode 100644
index 00000000..2a73472c
--- /dev/null
+++ b/src/python/gudhi/tensorflow/rips_layer.py
@@ -0,0 +1,93 @@
+import numpy as np
+import tensorflow as tf
+from ..rips_complex import RipsComplex
+
+############################
+# Vietoris-Rips filtration #
+############################
+
+# The parameters of the model are the point coordinates.
+
+def _Rips(DX, max_edge, dimensions, homology_coeff_field):
+ # Parameters: DX (distance matrix),
+ # max_edge (maximum edge length for Rips filtration),
+ # dimensions (homology dimensions)
+
+ # Compute the persistence pairs with Gudhi
+ rc = RipsComplex(distance_matrix=DX, max_edge_length=max_edge)
+ st = rc.create_simplex_tree(max_dimension=max(dimensions)+1)
+ st.compute_persistence(homology_coeff_field=homology_coeff_field)
+ pairs = st.flag_persistence_generators()
+
+ L_indices = []
+ for dimension in dimensions:
+
+ if dimension == 0:
+ finite_pairs = pairs[0]
+ essential_pairs = pairs[2]
+ else:
+ finite_pairs = pairs[1][dimension-1] if len(pairs[1]) >= dimension else np.empty(shape=[0,4])
+ essential_pairs = pairs[3][dimension-1] if len(pairs[3]) >= dimension else np.empty(shape=[0,2])
+
+ finite_indices = np.array(finite_pairs.flatten(), dtype=np.int32)
+ essential_indices = np.array(essential_pairs.flatten(), dtype=np.int32)
+
+ L_indices.append((finite_indices, essential_indices))
+
+ return L_indices
+
+class RipsLayer(tf.keras.layers.Layer):
+ """
+ TensorFlow layer for computing Rips persistence out of a point cloud
+ """
+ def __init__(self, homology_dimensions, maximum_edge_length=np.inf, min_persistence=None, homology_coeff_field=11, **kwargs):
+ """
+ Constructor for the RipsLayer class
+
+ Parameters:
+ maximum_edge_length (float): maximum edge length for the Rips complex
+ homology_dimensions (List[int]): list of homology dimensions
+ min_persistence (List[float]): minimum distance-to-diagonal of the points in the output persistence diagrams (default None, in which case 0. is used for all dimensions)
+ homology_coeff_field (int): homology field coefficient. Must be a prime number. Default value is 11. Max is 46337.
+ """
+ super().__init__(dynamic=True, **kwargs)
+ self.max_edge = maximum_edge_length
+ self.dimensions = homology_dimensions
+ self.min_persistence = min_persistence if min_persistence != None else [0. for _ in range(len(self.dimensions))]
+ self.hcf = homology_coeff_field
+ assert len(self.min_persistence) == len(self.dimensions)
+
+ def call(self, X):
+ """
+ Compute Rips persistence diagram associated to a point cloud
+
+ Parameters:
+ X (TensorFlow variable): point cloud of shape [number of points, number of dimensions]
+
+ Returns:
+ List[Tuple[tf.Tensor,tf.Tensor]]: List of Rips persistence diagrams. The length of this list is the same than that of dimensions, i.e., there is one persistence diagram per homology dimension provided in the input list dimensions. Moreover, the finite and essential parts of the persistence diagrams are provided separately: each element of this list is a tuple of size two that contains the finite and essential parts of the corresponding persistence diagram, of shapes [num_finite_points, 2] and [num_essential_points, 1] respectively
+ """
+ # Compute distance matrix
+ DX = tf.norm(tf.expand_dims(X, 1)-tf.expand_dims(X, 0), axis=2)
+ # Compute vertices associated to positive and negative simplices
+ # Don't compute gradient for this operation
+ indices = _Rips(DX.numpy(), self.max_edge, self.dimensions, self.hcf)
+ # Get persistence diagrams by simply picking the corresponding entries in the distance matrix
+ self.dgms = []
+ for idx_dim, dimension in enumerate(self.dimensions):
+ cur_idx = indices[idx_dim]
+ if dimension > 0:
+ finite_dgm = tf.reshape(tf.gather_nd(DX, tf.reshape(cur_idx[0], [-1,2])), [-1,2])
+ essential_dgm = tf.reshape(tf.gather_nd(DX, tf.reshape(cur_idx[1], [-1,2])), [-1,1])
+ else:
+ reshaped_cur_idx = tf.reshape(cur_idx[0], [-1,3])
+ finite_dgm = tf.concat([tf.zeros([reshaped_cur_idx.shape[0],1]), tf.reshape(tf.gather_nd(DX, reshaped_cur_idx[:,1:]), [-1,1])], axis=1)
+ essential_dgm = tf.zeros([cur_idx[1].shape[0],1])
+ min_pers = self.min_persistence[idx_dim]
+ if min_pers >= 0:
+ persistent_indices = tf.where(tf.math.abs(finite_dgm[:,1]-finite_dgm[:,0]) > min_pers)
+ self.dgms.append((tf.reshape(tf.gather(finite_dgm, indices=persistent_indices),[-1,2]), essential_dgm))
+ else:
+ self.dgms.append((finite_dgm, essential_dgm))
+ return self.dgms
+