arXiv AI

Oscillatory Phase Coding Emerges in Adaptive RNNs for Flexible Working Memory

arXiv AI
Sep 25

ELiSe: Efficient Learning of Sequences in Structured Recurrent Networks

The paper introduces ELiSe, a model that leverages cortical network scaffolds and dendritic compartments to learn complex non‑Markovian spatio‑temporal patterns using only local, always‑on, phase‑free synaptic plasticity. It demonstrates the model’s ability to acquire and replay intricate sequences, exemplified by a birdsong learning mock‑up, and shows robustness to external disturbances and flexibility in parameter settings.

By Laura Kriener, Kristin V\"olk, Ben von H\"unerbein, Federico Benitez, Walter Senn, Mihai A. Petrovici
arXiv Machine Learning
Jun 25

Kuramoto Oscillatory Phase Encoding: Neuro-inspired Synchronization for Improved Learning Efficiency

arXiv:2604. 07904v2 Announce Type: replace Abstract: Spatiotemporal neural dynamics and oscillatory synchronization are widely implicated in biological information processing and have been hypothesized to support flexible coordination such as feature binding.

By Mingqing Xiao, Yansen Wang, Dongqi Han, Caihua Shan, Dongsheng Li
arXiv Machine Learning
Oct 12

Understanding Mamba-3 Through Oscillatory Dynamics

Mamba-3 incorporates input‑dependent rotations into its recurrent state updates, which the authors interpret as underdamped second‑order dynamics. Experiments show that these oscillatory dynamics outperform non‑oscillatory regimes on state‑tracking tasks and improve long‑context prediction and length generalization in language‑model pretraining. Further interventions confirm that the learned phase is crucial, suggesting that rotation controls how retained information combines with new updates, thereby supporting long‑context processing.

By Shutian Liang, Yue Song
arXiv Machine Learning
Oct 9

Learning infinite context windows in recurrent architectures via spatial neural computing

The paper proposes a second‑order recurrent neural network that replaces traditional neuron‑to‑neuron communication with a spatially evolving field governed by discretized partial differential equations. This design creates a structured infinite‑order RNN where each state depends on its entire history, providing an unbounded receptive field while keeping the number of parameters fixed. The authors derive conditions for marginal stability that prevent vanishing or exploding gradients, and demonstrate that the architecture outperforms other recurrent models on long‑horizon benchmarks with fewer parameters.

By Aleix Salvador-Pomarol, Arthur N. Montanari, Earl K. Miller, Adilson E. Motter, Jorge Cort\'es
arXiv Machine Learning
Sep 29

Progressive Memory Transformer: Memory-Aware Attention for Time-Series

The paper introduces the Progressive Memory Transformer (PMT), a transformer variant that adds writable, window‑aligned memory to expose mid‑range representations alongside token and sequence‑level outputs. PMT is trained with a hierarchical learning framework that applies separate objectives at local, mid‑range, and global scales, encouraging the model to capture fine‑grained variation, window‑level motifs, and overall sequence agreement. Experiments on seven UCR/UEA/UCI classification datasets, a cue‑retention probe, and forecasting tasks show that PMT achieves strong low‑label classification performance, competitive multi‑horizon forecasting, and evidence that its memory states encode mid‑range motifs.

By Tord Sture Stangeland, Andreas K\"ohler, Steffen M{\ae}land, Ad\'in Ram\'ires Rivera