Network Validation using the Spatial Coherence Framework.
Project description
Network Spatial Coherence
What's the quality of your spatial network?
This package quantifies the spatial coherence of a network by measuring if network distances align with physical (Euclidean) distances. It helps you answer questions like: Do shortest-path network distances make spatial sense? Where, and by how much, does the network deviate from the geometric reality?
Additionally, it can reconstruct the network's original positions in space using the STRND algorithm. Networks can be simulated (if you don't have any) or imported, and weighted and bipartite networks are supported. For details, see Spatial Coherence and STRND papers.
Features
- Analyze the spatial coherence of a network
- Reconstruct images from purely network information - like drawing a country by only knowing which train stations are connected
- Efficient graph loading and processing (sparse matrices)
- Handles simulated graphs, custom graphs, unweighted graphs, weighted graphs, bipartite graphs
Install
Python 3.11 is reccomended, although older versions should work. See requirements.txt for dependencies.
pip install network_spatial_coherence
Example Results
| OG Image | SP Constant | Net Dim | Gram Mat | REC Image | |
|---|---|---|---|---|---|
| Coherent Network | |||||
| Incoherent Network |
Intro (important to read)
Detailed information
Interactive Network Viz
Citation
If you use this method or refer to its concepts in your research, please cite:
Bonet, D. F., Blumenthal, J. I., Lang, S., Dahlberg, S. K., & Hoffecker, I. T. (2025). Spatial coherence in DNA barcode networks. Patterns, 6(12), 101428. Full text
Bonet, D. F., & Hoffecker, I. T. (2023). Image recovery from unknown network mechanisms for DNA sequencing-based microscopy. Nanoscale, 15(18), 8153–8157. Full text
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