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New criterion optimizes weight initialization for deep neural networks

Researchers have developed a new mathematical criterion for selecting the optimal variance of weight initialization in deep neural networks (DNNs). By analyzing stochastic gradient descent (SGD) through a continuous-time Fokker-Planck equation, they established a connection between the initial distribution and the expected cost function via Kullback-Leibler divergence. This method provides a concrete, non-heuristic way to determine initialization scale, leading to lower training loss and higher test accuracy compared to conventional He-normal initialization, as validated on MNIST and Fashion-MNIST datasets. AI

IMPACT Provides a mathematically grounded method to improve DNN training efficiency and performance.

RANK_REASON Academic paper detailing a new theoretical criterion for optimizing DNN initialization. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New criterion optimizes weight initialization for deep neural networks

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Academic paper detailing a new theoretical criterion for optimizing DNN initialization. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Hiroshi Horii (SU), Sothea Has (KHM) ·

    Optimal Condition for Initialization Variance in Deep Neural Networks: An SGD Dynamics Perspective

    arXiv:2508.12834v2 Announce Type: replace-cross Abstract: Stochastic gradient descent (SGD), one of the most fundamental optimization algorithms in machine learning (ML), can be recast through a continuous-time approximation as a Fokker-Planck equation for Langevin dynamics, a vi…