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News/Sharp Stability Threshold and Certification for Designing Stable Residual Architectures
arxiv
PublishedJuly 18, 2026 at 4:00 AM
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Sharp Stability Threshold and Certification for Designing Stable Residual Architectures

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arXiv:2607.14576v1 Announce Type: new Abstract: We propose \emph{the sublinear-growth principle} for deep residual architectures -- a sharp stability threshold on the input-magnitude exponent of every residual block's velocity field: $$\|v(x, t)\| \leq c\,\|x\|^q + b, \qquad q \in [0, 1].$$ The thre

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