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New gradient descent scheme improves MMD estimation

Researchers have introduced a new preconditioned gradient descent (PGD) scheme to address the poorly understood optimization problem in Minimum Maximum Mean Discrepancy (MMD) estimation. This novel approach establishes global convergence under specific gradient-dominance and projection-residual conditions, drawing inspiration from MMD gradient flows. Empirical results demonstrate that the PGD scheme surpasses standard gradient descent in various parameter estimation and hypothesis testing tasks. AI

IMPACT This research offers a more robust and theoretically grounded method for parameter estimation in machine learning contexts.

RANK_REASON The cluster contains an academic paper detailing a new method for statistical estimation.

Read on arXiv stat.ML →

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

New gradient descent scheme improves MMD estimation

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The cluster contains an academic paper detailing a new method for statistical estimation.
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COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Sophia Seulkee Kang, Louis Sharrock, Xiaoyuan Cheng, Fran\c{c}ois-Xavier Briol, Zonghao Chen ·

    A Gradient Flow Perspective on Minimum MMD Estimation

    arXiv:2607.03871v1 Announce Type: cross Abstract: Minimum maximum mean discrepancy (MMD) estimation has emerged as a robust and likelihood-free alternative to maximum likelihood estimation for parameter estimation. Yet, despite its practical success, the associated optimization p…

  2. arXiv stat.ML TIER_1 English(EN) · Zonghao Chen ·

    A Gradient Flow Perspective on Minimum MMD Estimation

    Minimum maximum mean discrepancy (MMD) estimation has emerged as a robust and likelihood-free alternative to maximum likelihood estimation for parameter estimation. Yet, despite its practical success, the associated optimization problem remains poorly understood, with theoretical…