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To model time-varying nonlinear temporal dynamics in sequential data, a recurrent network capable of varying and adjusting the recurrence depth between input intervals is examined. The recurrence depth is extended by several intermediate…

Machine Learning · Computer Science 2017-08-15 Hyunsin Park , Chang D. Yoo

Recent architectural developments have enabled recurrent neural networks (RNNs) to reach and even surpass the performance of Transformers on certain sequence modeling tasks. These modern RNNs feature a prominent design pattern: linear…

Seeking effective neural networks is a critical and practical field in deep learning. Besides designing the depth, type of convolution, normalization, and nonlinearities, the topological connectivity of neural networks is also important.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Kun Yuan , Quanquan Li , Jing Shao , Junjie Yan

Humans can make predictions on various time scales and hierarchical levels. Thereby, the learning of event encodings seems to play a crucial role. In this work we model the development of hierarchical predictions via autonomously learned…

Machine Learning · Computer Science 2022-08-30 Christian Gumbsch , Maurits Adam , Birgit Elsner , Georg Martius , Martin V. Butz

Neural forecasting of spatiotemporal time series drives both research and industrial innovation in several relevant application domains. Graph neural networks (GNNs) are often the core component of the forecasting architecture. However, in…

Machine Learning · Computer Science 2023-02-21 Andrea Cini , Ivan Marisca , Filippo Maria Bianchi , Cesare Alippi

The current paper proposes a novel variational Bayes predictive coding RNN model, which can learn to generate fluctuated temporal patterns from exemplars. The model learns to maximize the lower bound of the weighted sum of the…

Artificial Intelligence · Computer Science 2017-09-18 Ahmadreza Ahmadi , Jun Tani

Proper weight initialization prior to training has historically been one of the key factors that helped kick off the deep learning revolution. Initialization is even more crucial in "reservoir computing", where the weights of a readout…

Machine Learning · Computer Science 2026-05-12 Tommaso Fioratti , Riccardo Marcaccioli , Francesco Casola

In this work, we propose a novel recurrent neural network (RNN) architecture. The proposed RNN, gated-feedback RNN (GF-RNN), extends the existing approach of stacking multiple recurrent layers by allowing and controlling signals flowing…

Neural and Evolutionary Computing · Computer Science 2015-06-18 Junyoung Chung , Caglar Gulcehre , Kyunghyun Cho , Yoshua Bengio

In deep learning, a central issue is to understand how neural networks efficiently learn high-dimensional features. To this end, we explore the gradient descent learning of a general Gaussian Multi-index model…

Machine Learning · Statistics 2026-02-06 Bohan Zhang , Zihao Wang , Hengyu Fu , Jason D. Lee

Recurrent neural networks (RNN) are powerful tools to explain how attractors may emerge from noisy, high-dimensional dynamics. We study here how to learn the ~N^(2) pairwise interactions in a RNN with N neurons to embed L manifolds of…

Disordered Systems and Neural Networks · Physics 2020-02-05 Aldo Battista , Rémi Monasson

This study explores the learnability of memory-less and memory-augmented RNNs, which are theoretically equivalent to Pushdown Automata. Empirical results show that these models often fail to generalize on longer sequences, relying more on…

Computation and Language · Computer Science 2024-10-07 Shrabon Das , Ankur Mali

We study a reinforcement learning for temporal coding with neural network consisting of stochastic spiking neurons. In neural networks, information can be coded by characteristics of the timing of each neuronal firing, including the order…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Daichi Kimura , Yoshinori Hayakawa

We analyze the performance of graph neural network (GNN) architectures from the perspective of random graph theory. Our approach promises to complement existing lenses on GNN analysis, such as combinatorial expressive power and worst-case…

Machine Learning · Computer Science 2023-10-12 Drake Brown , Trevor Garrity , Kaden Parker , Jason Oliphant , Stone Carson , Cole Hanson , Zachary Boyd

We study associative memory neural networks based on the Hodgkin-Huxley type of spiking neurons. We introduce the spike-timing-dependent learning rule, in which the time window with the negative part as well as the positive part is used to…

Disordered Systems and Neural Networks · Physics 2009-11-07 Masahiko Yoshioka

This paper addresses the challenges of fault prediction and delayed response in distributed systems by proposing an intelligent prediction method based on temporal feature learning. The method takes multi-dimensional performance metric…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-28 Yang Wang , Wenxuan Zhu , Xuehui Quan , Heyi Wang , Chang Liu , Qiyuan Wu

Long-sequence modeling faces a fundamental trade-off between the efficiency of compressive fixed-size memory in RNN-like models and the fidelity of lossless growing memory in attention-based Transformers. Inspired by the Multi-Store Model…

Computation and Language · Computer Science 2025-12-18 Yunhao Fang , Weihao Yu , Shu Zhong , Qinghao Ye , Xuehan Xiong , Lai Wei

Large-scale recurrent networks have drawn increasing attention recently because of their capabilities in modeling a large variety of real-world phenomena and physical mechanisms. This paper studies how to identify all authentic connections…

Machine Learning · Statistics 2015-06-23 Yiyuan She , Yuejia He , Dapeng Wu

Experimental evidence indicates that intrinsic temporal dynamics operating across multiple time scales are closely associated with the emergence of periodic spatial activity of increasing complexity. However, how information encoded in…

Neural and Evolutionary Computing · Computer Science 2026-04-21 Yanlin Zhang , Yan Zhang , Muhua Zheng , Kesheng Xu

This work presents a novel means for understanding learning dynamics and scaling relations in neural networks. We show that certain measures on the spectrum of the empirical neural tangent kernel, specifically entropy and trace, yield…

Machine Learning · Computer Science 2024-10-11 Samuel Tovey , Sven Krippendorf , Michael Spannowsky , Konstantin Nikolaou , Christian Holm

We prove that for a broad class of permutation-equivariant learning rules (including SGD, Adam, and others), the training process induces a bi-Lipschitz mapping between neurons and strongly constrains the topology of the neuron distribution…

Machine Learning · Computer Science 2025-10-06 Yongyi Yang , Tomaso Poggio , Isaac Chuang , Liu Ziyin