The results provide a way to assess the trade-off between stability and representational flexibility directly from block primitives, before training, and improve out-of-distribution generalization in operator learning and accuracy in time-series forecasting.
Hyemin Gu, M. Tyrrell, T. Sahai et al.· 0 citations
We propose CVaR-penalized Generative Particle Algorithm (CVaR-GPA), a robust, tail-agnostic algorithm for fine-tuning generative models to learn heavy-tailed distributions and capture extreme events, requiring no prior knowledge or estimation of the target's tail characteristics. The method is the Wasserstein gradient...
T. Gamage, Hyemin Gu, Zhizhen Zhang et al.· 0 citations
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 threshold $q = 1$ is established via two independent arguments. Classica...
Hyemin Gu, Michael Tyrrell, T. Sahai et al.· arXiv.org· 0 citations
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