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A Stein variational Newton method

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abstract

Stein variational gradient descent (SVGD) was recently proposed as a general purpose nonparametric variational inference algorithm [Liu & Wang, NIPS 2016]: it minimizes the Kullback-Leibler divergence between the target distribution and its approximation by implementing a form of functional gradient descent on a reproducing kernel Hilbert space. In this paper, we accelerate and generalize the SVGD algorithm by including second-order information, thereby approximating a Newton-like iteration in function space. We also show how second-order information can lead to more effective choices of kernel. We observe significant computational gains over the original SVGD algorithm in multiple test cases.

fields

cs.LG 1

years

2026 1

verdicts

UNVERDICTED 1

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Stein Kernelized Molecular Dynamics for Active Learning of Interatomic Potentials

cs.LG · 2026-06-02 · unverdicted · novelty 6.0

SKMD adapts Stein variational gradient descent into molecular dynamics with asynchronous updates and global atomic descriptor kernels to acquire non-redundant training configurations while preserving the Boltzmann distribution, yielding higher MLIP accuracy with fewer samples than baselines.

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  • Stein Kernelized Molecular Dynamics for Active Learning of Interatomic Potentials cs.LG · 2026-06-02 · unverdicted · none · ref 43 · internal anchor

    SKMD adapts Stein variational gradient descent into molecular dynamics with asynchronous updates and global atomic descriptor kernels to acquire non-redundant training configurations while preserving the Boltzmann distribution, yielding higher MLIP accuracy with fewer samples than baselines.