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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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