From bd726e891523586b34db2e602832ab7ee8080cc5 Mon Sep 17 00:00:00 2001 From: Liz Munch Date: Fri, 20 Mar 2026 11:42:25 -0400 Subject: [PATCH 1/2] Fixing the degenerate edge problem --- cereeberus/cereeberus/compute/computereeb.py | 191 ++++++++++++------- doc_source/notebooks/compute_reeb.ipynb | 86 +++++++-- pyproject.toml | 2 +- tests/test_lowerstar_class.py | 32 ++++ 4 files changed, 226 insertions(+), 85 deletions(-) diff --git a/cereeberus/cereeberus/compute/computereeb.py b/cereeberus/cereeberus/compute/computereeb.py index 7cd14cd..04b19bb 100644 --- a/cereeberus/cereeberus/compute/computereeb.py +++ b/cereeberus/cereeberus/compute/computereeb.py @@ -1,7 +1,10 @@ -from .unionfind import UnionFind -from ..reeb.lowerstar import LowerStar +from itertools import groupby as _groupby + import numpy as np +from ..reeb.lowerstar import LowerStar +from .unionfind import UnionFind + def is_face(sigma, tau): """ @@ -72,120 +75,164 @@ def computeReeb(K: LowerStar, verbose=False): funcVals = [(i, K.filtration([i])) for i in K.iter_vertices()] funcVals.sort(key=lambda x: x[1]) # Sort by filtration value + # Group vertices that share the same filtration value into batches. + # A horizontal edge (both endpoints at the same height) must be processed + # within one batch so it properly merges its endpoints into a single Reeb node. + grouped = [ + (filt, list(grp)) + for filt, grp in _groupby(funcVals, key=lambda x: x[1]) + ] R = ReebGraph() - currentLevelSet = [] - components = {} half_edge_index = 0 - - # This will keep track of the components represented by every vertex in the graph so far. - # It will be vertName: connected_component (given as a list of lists) represented by that vertex vert_to_component = {} - edges_at_prev_level = [] - for i, (vert, filt) in enumerate(funcVals): - if verbose: - print(f"\n---\n Processing {vert} at func val {filt:.2f}") + def _dedup(lst): + seen = set() + out = [] + for s in lst: + key = tuple(sorted(s)) + if key not in seen: + seen.add(key) + out.append(s) + return out + + for group_idx, (filt, group_verts) in enumerate(grouped): now_min = filt - now_max = funcVals[i + 1][1] if i + 1 < len(funcVals) else np.inf - star = K.get_star([vert]) - lower_star = [s[0] for s in star if s[1] <= filt and len(s[0]) > 1] - upper_star = [s[0] for s in star if s[1] > filt and len(s[0]) > 1] + now_max = ( + grouped[group_idx + 1][0] if group_idx + 1 < len(grouped) else np.inf + ) + vert_names = [v for v, _ in group_verts] if verbose: - print(f" Lower star simplices: {lower_star}") - print(f" Upper star simplices: {upper_star}") + print(f"\n---\n Processing group at func val {filt:.2f}: {vert_names}") + + # Classify all simplex stars for this batch into three groups: + # + # lower_nonhoriz: s_filt == filt AND at least one vertex strictly below filt. + # These were added to currentLevelSet by an earlier vertex; remove them now. + # + # horizontal: s_filt == filt AND ALL vertices are at filt. + # These connect same-height vertices in the same batch. + # Add them temporarily so they link the endpoints into one component. + # + # upper: s_filt > filt. + # Add persistently; they carry the level set upward to the next critical point. + # + # Note: because filt(simplex) = max(vertex filtrations) >= filt for any simplex + # in the star of a vertex at height filt, s_filt < filt is impossible here. + all_lower_nonhoriz = [] + all_upper = [] + all_horizontal = [] + + for vert in vert_names: + for s in K.get_star([vert]): + simplex, s_filt = s[0], s[1] + if len(simplex) <= 1: + continue + if s_filt > filt: + all_upper.append(simplex) + elif all(K.filtration([u]) == filt for u in simplex): + all_horizontal.append(simplex) + else: + all_lower_nonhoriz.append(simplex) + + all_lower_nonhoriz = _dedup(all_lower_nonhoriz) + all_upper = _dedup(all_upper) + all_horizontal = _dedup(all_horizontal) - # ---- - # Update the levelset list - # ---- + if verbose: + print(f" Lower (non-horiz) simplices: {all_lower_nonhoriz}") + print(f" Horizontal simplices: {all_horizontal}") + print(f" Upper simplices: {all_upper}") - for s in lower_star: - # Remove from current level set + # Step 1: Remove the lower non-horizontal simplices from the active level set. + for s in all_lower_nonhoriz: if s in currentLevelSet: currentLevelSet.remove(s) - currentLevelSet.append([vert]) # Add the vertex itself to the level set - components_at_vertex = get_levelset_components(currentLevelSet) + # Step 2: Add this batch's vertices and its horizontal simplices to the level set. + for vert in vert_names: + currentLevelSet.append([vert]) + for s in all_horizontal: + if s not in currentLevelSet: + currentLevelSet.append(s) + + if verbose: + print(f" Current level set: {currentLevelSet}") + + # Step 3: Compute connected components; create one Reeb node per component. + components_at_level = get_levelset_components(currentLevelSet) if verbose: - print(f" Current level set simplices: {currentLevelSet}") - print(f" Level set components at vertex {vert} (func val {filt:.2f}):") - for comp in components_at_vertex.values(): - print(f" Component: {comp}") + print(f" Level set components:") + for comp in components_at_level.values(): + print(f" {comp}") verts_at_level = [] - for rep, comp in components_at_vertex.items(): - # Add a vertex for each component in this levelset + for rep, comp in components_at_level.items(): nextNodeName = R.get_next_vert_name() R.add_node(nextNodeName, now_min) - vert_to_component[nextNodeName] = ( - comp # Store the component represented by this vertex - ) + vert_to_component[nextNodeName] = comp verts_at_level.append(nextNodeName) - # Check if any simplex in vertex component is a subset of any of simplices in a previous edge's component + # Connect incoming half-edge sentinels whose component contains a face + # of a simplex in this component. for e in edges_at_prev_level: prev_comp = vert_to_component[e] if any( - [ - is_face(prev_simp, simp) - for simp in comp - for prev_simp in prev_comp - ] + is_face(prev_simp, simp) + for simp in comp + for prev_simp in prev_comp ): R.add_edge(e, nextNodeName) - # ---- - # Add the edge vertices for after the vertex is passed - # ---- - - # Remove the vertex from the level set - if [vert] in currentLevelSet: - currentLevelSet.remove([vert]) + # Step 4: Remove vertices and horizontal simplices – they live only at this exact height. + for vert in vert_names: + if [vert] in currentLevelSet: + currentLevelSet.remove([vert]) + for s in all_horizontal: + if s in currentLevelSet: + currentLevelSet.remove(s) - # Add the upper star to the current level set - for s in upper_star: + # Step 5: Add upper-star simplices to carry the level set forward. + for s in all_upper: if s not in currentLevelSet: currentLevelSet.append(s) - components = get_levelset_components(currentLevelSet) if verbose: - print(f"\n Updated current level set simplices: {currentLevelSet}") - print(f" Level set components after vertex {vert} (func val {filt:.2f}):") - for comp in components.values(): - print(f" Component: {comp}") - # ---- - # Set up a vertex in the Reeb graph for each connected component - # These will represent edges - # These are at height (now_min + now_max)/2 - # ---- + print(f"\n Updated level set: {currentLevelSet}") + + # Step 6: Compute components above this level; create half-edge sentinel nodes + # at height (now_min + now_max) / 2 and connect them downward to the Reeb nodes + # created in Step 3. + components_above = get_levelset_components(currentLevelSet) + + if verbose: + print(f" Level set components above:") + for comp in components_above.values(): + print(f" {comp}") + edges_at_prev_level = [] - for comp in components.values(): - # Create a new vertex in the Reeb graph + for comp in components_above.values(): e_name = "e_" + str(half_edge_index) R.add_node(e_name, (now_min + now_max) / 2) - vert_to_component[e_name] = ( - comp # Store the component represented by this half edge top - ) + vert_to_component[e_name] = comp half_edge_index += 1 edges_at_prev_level.append(e_name) - # Now connect to the vertices at this level + # Connect downward to Reeb nodes at this level. for v in verts_at_level: - - # Get the component represented by vertex v prev_comp = vert_to_component[v] - if any( - [ - is_face(simp, prev_simp) - for simp in comp - for prev_simp in prev_comp - ] + is_face(simp, prev_simp) + for simp in comp + for prev_simp in prev_comp ): R.add_edge(v, e_name) return R + + return R diff --git a/doc_source/notebooks/compute_reeb.ipynb b/doc_source/notebooks/compute_reeb.ipynb index 9405f81..33bf61c 100644 --- a/doc_source/notebooks/compute_reeb.ipynb +++ b/doc_source/notebooks/compute_reeb.ipynb @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "id": "6c24918c", "metadata": {}, "outputs": [], @@ -25,6 +25,7 @@ "id": "2f86d2ed", "metadata": {}, "source": [ + "## Simple example\n", "Consider the following simplicial complex with height function. \n", "\n", "\"Small\n", @@ -34,7 +35,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "id": "4f7a5c9e", "metadata": {}, "outputs": [], @@ -61,13 +62,13 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "id": "4c3e5cf0", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -86,12 +87,14 @@ "id": "ef111214", "metadata": {}, "source": [ + "## Torus example \n", + "\n", "For a slightly more complex example, we have the following Torus example generator. " ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "id": "73b9c65e", "metadata": {}, "outputs": [], @@ -101,13 +104,13 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "id": "86d760fa", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -125,7 +128,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "id": "d1e98698", "metadata": {}, "outputs": [], @@ -136,13 +139,13 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "id": "b1da0cef", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -154,11 +157,70 @@ "source": [ "R.draw(cpx = 2)" ] + }, + { + "cell_type": "markdown", + "id": "09bfeea2", + "metadata": {}, + "source": [ + "## Degenerate (horizontal) edges\n", + "\n", + "Here we check an example where there might be a horizontal edge in the input filtered simplicial complex which should end up being collapsed in the resulting Reeb graph. " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "b8c5f251", + "metadata": {}, + "outputs": [], + "source": [ + "K = LowerStar()\n", + "K.insert([0,1])\n", + "K.insert([0,2])\n", + "K.insert([1,2])\n", + "K.insert([1,3])\n", + "K.insert([2,3])\n", + "K.assign_filtration([0], 5.0)\n", + "K.assign_filtration([1], 6.0)\n", + "K.assign_filtration([2], 6.0)\n", + "K.assign_filtration([3], 7)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "0664ba4d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "R = computeReeb(K)\n", + "R.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1b6f082f", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "cereeberus", "language": "python", "name": "python3" }, @@ -172,7 +234,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.12" + "version": "3.12.13" } }, "nbformat": 4, diff --git a/pyproject.toml b/pyproject.toml index bad1f87..46b4f66 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -4,7 +4,7 @@ build-backend = "setuptools.build_meta" [project] name = "cereeberus" -version = "0.1.11" +version = "0.1.12" authors = [ { name="Liz Munch", email="muncheli@msu.edu" }, ] diff --git a/tests/test_lowerstar_class.py b/tests/test_lowerstar_class.py index 2b9aad1..8d66f3d 100644 --- a/tests/test_lowerstar_class.py +++ b/tests/test_lowerstar_class.py @@ -57,6 +57,38 @@ def test_computeReeb(self): self.assertGreater(len(R.nodes), 0) self.assertGreater(len(R.edges), 0) + def test_computeReeb_horizontal_edge(self): + # Regression test: when two vertices share the same filtration value and + # are connected by an edge (a "horizontal" edge), the level-set connected + # component is that entire edge, so the Reeb graph must collapse them to + # a single node. Previously this raised ValueError. + # + # Complex: triangle with vertices 0,1,2 and edges [0,1],[0,2],[1,2]. + # Filtration (x-coordinate): f(0)=0, f(1)=1, f(2)=0. + # Edge [0,2] is horizontal. The Reeb graph should have exactly 1 node at + # height 0 (not 2 separate nodes) and 2 edges leading up to vertex 1. + K = LowerStar() + K.insert([0, 1]) + K.insert([0, 2]) + K.insert([1, 2]) + + K.assign_filtration(0, 0.0) + K.assign_filtration(1, 1.0) + K.assign_filtration(2, 0.0) + + R = computeReeb(K) + + self.assertIsInstance(R, ReebGraph) + + # Exactly one node at height 0 (the collapsed horizontal component) + nodes_at_zero = [v for v in R.nodes if R.f[v] == 0.0] + self.assertEqual(len(nodes_at_zero), 1, + "Horizontal edge should collapse to a single Reeb node") + + # The graph should be connected + import networkx as nx + self.assertTrue(nx.is_weakly_connected(R)) + def test_torus_example_class(self): # Test the torus example from the documentation. T = Torus() From e3672e58e07a5ad88726bec52002c358d6c048e2 Mon Sep 17 00:00:00 2001 From: Elizabeth Munch Date: Fri, 20 Mar 2026 12:00:00 -0400 Subject: [PATCH 2/2] Update cereeberus/cereeberus/compute/computereeb.py Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com> --- cereeberus/cereeberus/compute/computereeb.py | 1 - 1 file changed, 1 deletion(-) diff --git a/cereeberus/cereeberus/compute/computereeb.py b/cereeberus/cereeberus/compute/computereeb.py index 04b19bb..5d1a79f 100644 --- a/cereeberus/cereeberus/compute/computereeb.py +++ b/cereeberus/cereeberus/compute/computereeb.py @@ -235,4 +235,3 @@ def _dedup(lst): return R - return R