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The Geometry of Grokking: Norm Minimization on the Zero-Loss Manifold

arXiv:2511.01938v1 Announce Type: new Abstract: Grokking is a puzzling phenomenon in neural networks where full generalization occurs only after a substantial delay following the complete memorization of the training data. Previous research has linked this delayed generalization to representation learning…

Hybrid Quantum-Classical Recurrent Neural Networks

arXiv:2510.25557v2 Announce Type: replace Abstract: We present a hybrid quantum-classical recurrent neural network (QRNN) architecture in which the recurrent core is realized as a parametrized quantum circuit (PQC) controlled by a classical feedforward network. The hidden state is the quantum…

Inducing Riesz and orthonormal bases in $L^2$ via composition operators

arXiv:2406.18613v3 Announce Type: replace-cross Abstract: Let $C_h$ be a composition operator mapping $L^2(Omega_1)$ into $L^2(Omega_2)$ for some open sets $Omega_1, Omega_2 subseteq mathbb{R}^n$. We characterize the mappings $h$ that transform Riesz bases of $L^2(Omega_1)$ into Riesz bases of $L^2(Omega_2)$. Restricting…

EchoLSTM: A Self-Reflective Recurrent Network for Stabilizing Long-Range Memory

arXiv:2511.01950v1 Announce Type: new Abstract: Standard Recurrent Neural Networks, including LSTMs, struggle to model long-range dependencies, particularly in sequences containing noisy or misleading information. We propose a new architectural principle, Output-Conditioned Gating, which enables a model to perform self-reflection by…

The Coralscapes Dataset: Semantic Scene Understanding in Coral Reefs

arXiv:2503.20000v2 Announce Type: replace-cross Abstract: Coral reefs are declining worldwide due to climate change and local stressors. To inform effective conservation or restoration, monitoring at the highest possible spatial and temporal resolution is necessary. Conventional coral reef surveying methods are…