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Faster and Efficient Density Decomposition via Proportional Response with Exponential Momentum

Summary: Density decomposition is cast as a Fisher market (edges as buyers, nodes as sellers) using proportional-response updates that converge to equilibrium. A novel exponential momentum (geometric interpolation) accelerates these gradient-like steps, yielding orders-of-magnitude speedups on large graphs for downstream graph-mining tasks. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
7293
Venue
SIGMOD
Year
2025
Pagerank
4.1945683e-05
Overall Rank
10,517 | 26.84%
DOI
10.1145/3725405

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