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@ -84,50 +84,108 @@ async def get_community_clusters(
def label_propagation(projection: dict[str, list[Neighbor]]) -> list[list[str]]:
# Implement the label propagation community detection algorithm.
# 1. Start with each node being assigned its own community
# 2. Each node will take on the community of the plurality of its neighbors
# 3. Ties are broken by going to the largest community
# 4. Continue until no communities change during propagation
"""
Implement the label propagation community detection algorithm.
Algorithm:
1. Start with each node being assigned its own community
2. Each node will take on the community of the plurality of its neighbors
3. Ties are broken by going to the largest community
4. Continue until no communities change during propagation
Oscillation prevention:
- Uses asynchronous updates (randomized node order)
- Maximum iteration limit to prevent infinite loops
- Early stopping if oscillation is detected
"""
import random
MAX_ITERATIONS = 100
OSCILLATION_CHECK_WINDOW = 5
community_map = {uuid: i for i, uuid in enumerate(projection.keys())}
node_uuids = list(projection.keys())
while True:
no_change = True
new_community_map: dict[str, int] = {}
# Track history to detect oscillations
history: list[dict[str, int]] = []
for uuid, neighbors in projection.items():
for iteration in range(MAX_ITERATIONS):
# Asynchronous update: randomize node processing order to prevent oscillation
random.shuffle(node_uuids)
changed_count = 0
for uuid in node_uuids:
neighbors = projection[uuid]
curr_community = community_map[uuid]
# Count votes from neighbors
community_candidates: dict[int, int] = defaultdict(int)
for neighbor in neighbors:
community_candidates[community_map[neighbor.node_uuid]] += neighbor.edge_count
if not community_candidates:
continue
# Sort by count (descending), then by community ID for deterministic tie-breaking
community_lst = [
(count, community) for community, count in community_candidates.items()
]
community_lst.sort(key=lambda x: (-x[0], x[1]))
community_lst.sort(reverse=True)
candidate_rank, community_candidate = community_lst[0] if community_lst else (0, -1)
if community_candidate != -1 and candidate_rank > 1:
candidate_rank, community_candidate = community_lst[0]
# Determine new community:
# - If strong signal (edge count > 1), adopt the neighbor's community
# - Otherwise, prefer the larger community ID (original behavior)
if candidate_rank > 1:
new_community = community_candidate
else:
new_community = max(community_candidate, curr_community)
new_community_map[uuid] = new_community
if new_community != curr_community:
no_change = False
community_map[uuid] = new_community
changed_count += 1
if no_change:
# Check for convergence
if changed_count == 0:
logger.debug(f'Label propagation converged after {iteration + 1} iterations')
break
community_map = new_community_map
# Check for oscillation by comparing with recent history
current_state = community_map.copy()
history.append(current_state)
community_cluster_map = defaultdict(list)
# Keep only recent history
if len(history) > OSCILLATION_CHECK_WINDOW:
history.pop(0)
# Detect oscillation: if current state matches any recent state
if len(history) >= 2:
for past_state in history[:-1]:
if past_state == current_state:
logger.warning(
f'Label propagation oscillation detected at iteration {iteration + 1}, '
'stopping early'
)
# Break out of the for loop
break
else:
# No oscillation detected, continue to next iteration
continue
# Oscillation detected, break out of the main loop
break
else:
logger.warning(
f'Label propagation reached maximum iterations ({MAX_ITERATIONS}) without converging'
)
# Group nodes by community
community_cluster_map: dict[int, list[str]] = defaultdict(list)
for uuid, community in community_map.items():
community_cluster_map[community].append(uuid)
clusters = [cluster for cluster in community_cluster_map.values()]
clusters = list(community_cluster_map.values())
return clusters