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deep kernel shaping
Deep kernel shaping is a neural network design and initialization methodology that adjusts the properties of a network at initialization to ensure stable signal propagation and enable fast, reliable optimization. By applying calibrated transformations to activation functions, setting precise weight initializations, and introducing minor structural adjustments, the method regulates how correlations and variances evolve across successive layers. This control prevents signal propagation pathologies, such as exploding or vanishing gradients and rank collapse, while preserving the original functional capacity of the model. As a result, deep kernel shaping allows very deep architectures to train efficiently and maintain plasticity throughout learning, even in feedforward networks that lack conventional stabilizing components such as normalization layers or skip connections.
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