Decomposition of Normal Form Games Based on Combinatorial Hodge Theory (Candogan et al., 2011)
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Oct 14, 2024 - Jupyter Notebook
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hodge-decomposition
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Python implementations of examples in Hodgerank, etc.
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Dec 25, 2025 - Jupyter Notebook
Topological clustering of directed graphs via Discrete Hodge Decomposition on asymmetric rank flows
python ranking network-analysis directed-graphs topological-data-analysis graph-clustering hodge-decomposition
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May 28, 2026 - Python
Operator-theoretic spatial biology framework for tumor–immune interface analysis using Hodge decomposition, antisymmetric commutator geometry, and graph operator dynamics. Validated across HCC, IMC, CABO/NIVO, and a pan-cancer Visium cohort (26 sections, 118k+ spots, 6 cancer types).
bioinformatics systems-biology hcc spatial-transcriptomics cancer-immunotherapy graph-laplacian visium hodge-decomposition computational-oncology tumor-immune-microenvironment operator-geometry
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May 21, 2026 - Python
Studying LLM latent space topology using persistent homology and Hodge decomposition. Discovers that Hodge gradient potential recovers the animacy hierarchy — a linguistic universal — without supervision.
computational-linguistics persistent-homology topological-data-analysis hodge-decomposition llm-interpretability
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Apr 4, 2026 - Python
Fourier, graph, Hodge, and signed-circulation probes for transformer hidden-state trajectories.
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Jul 17, 2026 - Python
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