Hierarchical coherence: forecast reconciliation (OLS, WLS, MinTrace), conformal prediction, community detection (Leiden, Louvain).
Project description
cohera
Hierarchical forecast reconciliation (OLS, WLS, MinTrace), conformal prediction intervals, community detection (Leiden, Louvain, Label Propagation), and clustering evaluation metrics. Backed by a Rust implementation.
Python bindings for the sheaf Rust crate.
Install
pip install cohera
Quick start
import cohera
# Reconcile incoherent forecasts to satisfy a hierarchy
s = cohera.simple_star_matrix(3) # 1 root + 3 leaves
base = [12.0, 3.0, 4.0, 5.0]
reconciled = cohera.reconcile(s, base, method="ols")
# reconciled[0] == reconciled[1] + reconciled[2] + reconciled[3]
# Community detection on a weighted graph
edges = [(0, 1, 1.0), (1, 2, 1.0), (0, 2, 1.0)]
communities = cohera.leiden(edges, n_nodes=3, resolution=1.0)
# Dendrogram: build from merge history, cut to k clusters
merges = [(0, 1, 0.5, 2), (2, 3, 0.7, 2), (4, 5, 1.0, 4)]
dendro = cohera.Dendrogram(merges, n_items=4)
labels = dendro.cut_to_k(k=2) # array([0, 0, 1, 1])
# kNN graph from embeddings -> community detection
import numpy as np
embeddings = np.random.randn(100, 64).astype(np.float32)
embeddings /= np.linalg.norm(embeddings, axis=1, keepdims=True)
edges = cohera.knn_graph(embeddings, k=10)
communities = cohera.leiden(edges, n_nodes=100)
# Clustering evaluation
nmi_score = cohera.nmi([0, 0, 1, 1], [0, 0, 1, 1]) # 1.0
ari_score = cohera.ari([0, 0, 1, 1], [0, 0, 1, 1]) # 1.0
API
| Name | Description |
|---|---|
reconcile |
Reconcile base forecasts via OLS, WLS, or MinTrace |
simple_star_matrix |
Build summing matrix for a 2-level hierarchy |
summing_matrix_from_tree |
Build summing matrix from dendrogram merge history |
Dendrogram |
Hierarchical clustering dendrogram with cut operations |
Dendrogram.cut_at_distance |
Cut dendrogram at a distance threshold |
Dendrogram.cut_to_k |
Cut dendrogram to exactly k clusters |
knn_graph |
Build k-nearest-neighbor graph from embeddings (HNSW) |
HierarchicalConformal |
Conformal predictor with hierarchical reconciliation |
HierarchicalConformal.calibrate |
Calibrate intervals from held-out data |
HierarchicalConformal.predict |
Produce reconciled (lower, upper) prediction intervals |
leiden |
Leiden community detection |
louvain |
Louvain community detection |
label_propagation |
Label propagation community detection |
nmi |
Normalized Mutual Information |
ari |
Adjusted Rand Index |
v_measure |
V-Measure (harmonic mean of homogeneity and completeness) |
purity |
Clustering purity |
homogeneity |
Each cluster contains only one class |
completeness |
All members of a class are in the same cluster |
fowlkes_mallows |
Fowlkes-Mallows Index |
numpy support
All functions accept numpy arrays or Python lists. Reconciled forecasts and community labels are returned as numpy arrays.
License
MIT OR Apache-2.0
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