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KENTECH

Academic institutioneurope · gb
Research library2linked papers
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Selected work

Representative Papers

FOAM: Frequency and Operator Error-Based Adaptive Damping Method for Reducing Staleness-Oriented Error for Shampoo

Jun 01, 2026

This work addresses the performance degradation and numerical instability of the Shampoo optimizer, which stem from its reliance on stale preconditioners due to the high computational cost of matrix inversion. The paper provides a theoretical analysis of how delayed preconditioner updates affect convergence and stability, and for the first time explicitly links the damping mechanism to the error induced by such delays. Building on this insight, the authors propose FOAM, an adaptive algorithm that dynamically adjusts both the damping factor and the frequency of eigendecompositions. FOAM further incorporates a delay-aware approximation of the update error, enabling robust convergence while substantially reducing runtime. The method thus achieves an effective balance between computational efficiency and numerical stability.

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Recent publications

Latest Papers

FOAM: Frequency and Operator Error-Based Adaptive Damping Method for Reducing Staleness-Oriented Error for Shampoo

Jun 01, 2026

This work addresses the performance degradation and numerical instability of the Shampoo optimizer, which stem from its reliance on stale preconditioners due to the high computational cost of matrix inversion. The paper provides a theoretical analysis of how delayed preconditioner updates affect convergence and stability, and for the first time explicitly links the damping mechanism to the error induced by such delays. Building on this insight, the authors propose FOAM, an adaptive algorithm that dynamically adjusts both the damping factor and the frequency of eigendecompositions. FOAM further incorporates a delay-aware approximation of the update error, enabling robust convergence while substantially reducing runtime. The method thus achieves an effective balance between computational efficiency and numerical stability.

0 citationsRead paper