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New gauge-invariant regularization improves potential recovery on directed graphs

Researchers have developed a new regularization technique for recovering latent potentials from directed graphs, addressing the ill-posed nature of the problem. Traditional ridge regularization can collapse and reverse the recovered ordering, but the proposed gauge-invariant graph Dirichlet energy method offers parameter-insensitivity and stability across a wide range of parameters. This new approach retains significant dynamic range on clickstream data and has implications for graph neural networks by preventing oversmoothing in deep directed GCNs. AI

IMPACT This research could lead to more robust graph neural networks by addressing oversmoothing issues.

RANK_REASON The cluster contains a research paper published on arXiv detailing a novel technical approach.

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New gauge-invariant regularization improves potential recovery on directed graphs

COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Mohammad Forouhesh ·

    Gauge-Invariant, Parameter-Insensitive Regularization for Potential Recovery from Flow on Directed Graphs

    arXiv:2607.13609v1 Announce Type: cross Abstract: Recovering a latent potential from observed flow on a directed graph (a discrete Poisson problem with Dirichlet boundaries) is ill-posed, and the standard fix backfires: ridge regularization shrinks toward a gauge-meaningless orig…

  2. arXiv stat.ML TIER_1 English(EN) · Mohammad Forouhesh ·

    Gauge-Invariant, Parameter-Insensitive Regularization for Potential Recovery from Flow on Directed Graphs

    Recovering a latent potential from observed flow on a directed graph (a discrete Poisson problem with Dirichlet boundaries) is ill-posed, and the standard fix backfires: ridge regularization shrinks toward a gauge-meaningless origin, collapsing and reversing the recovered orderin…