Population gradient flow is a common tool for reasoning about how neural networks adapt, including after pretraining. We show that it can mispredict finite-batch stochastic gradient descent (SGD) qualitatively, and we trace the discrepancy to a specific mechanism. In a two-unit ReLU regression, a source task drives the...
Ruo-Yu Zhao, Ming-Xuan Zhang, Jian-Bo Dai et al.
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Sep 2026
Spiking neural networks (SNNs) offer low-energy sequence modeling through sparse, event-driven computation. However, interactions among spike encoding, neuronal dynamics, and information propagation complicate architecture design. Existing SNN sequence models often adapt artificial neural network (ANN) architectures de...
Ruo-Yu Zhao, Jia-Qi Wu, Chen-Yu Zhu et al.
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This work proposes Neural Spectral Capacity (NSC), a closed-form scalar grounded in the singular-value spectrum of each weight matrix, which outperforms #Params, #FLOPs, and representative training-free proxies in ranking across seven Transformer and CNN families.
Chen-Yu Zhu, Ruo-Yu Zhao, Zhi-Chao Lu
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Aug 2026
Hierarchical Memory Mamba integrates a lightweight working memory that extracts slow paragraph-level semantics from the fast sensory memory embedded in the backbone's hidden states and endows HMM cross-task generalization through parametric learning, which is not observed in other long-context enhanced Mamba variants.
Qinwen Wang, Jieping Luo, Ao-Xiang Qin et al.
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