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Tag: fm

  • Implicit geometric regularization in flow matching via density weighted Stein operators

    Implicit geometric regularization in flow matching via density weighted Stein operators arXiv:2512.23956v1 Announce Type: new Abstract: Flow Matching (FM) has emerged as a powerful paradigm for continuous normalizing flows, yet standard FM implicitly performs an unweighted $L^2$ regression over the entire ambient space. In high dimensions, this leads to a fundamental inefficiency: the vast majority…

  • On The Hidden Biases of Flow Matching Samplers

    On The Hidden Biases of Flow Matching Samplers arXiv:2512.16768v1 Announce Type: new Abstract: We study the implicit bias of flow matching (FM) samplers via the lens of empirical flow matching. Although population FM may produce gradient-field velocities resembling optimal transport (OT), we show that the empirical FM minimizer is almost never a gradient field, even…