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This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

Chaotic Dynamics · Physics 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko

The identification of states and parameters from noisy measurements of a dynamical system is of great practical significance and has received a lot of attention. Classically, this problem is expressed as optimization over a class of models.…

Continual learning is a key feature of biological neural systems, but artificial neural networks often suffer from catastrophic forgetting. Instead of backpropagation, biologically plausible learning algorithms may enable stable continual…

Neural and Evolutionary Computing · Computer Science 2025-08-19 Denis Larionov , Nikolay Bazenkov , Mikhail Kiselev

A novel and efficient end-to-end learning model for automatic modulation classification is proposed for wireless spectrum monitoring applications, which automatically learns from the time domain in-phase and quadrature data without…

Signal Processing · Electrical Eng. & Systems 2021-01-21 Kaisheng Liao , Yaodong Zhao , Jie Gu , Yaping Zhang , Yi Zhong

This paper aims to compare different regularization strategies to address a common phenomenon, severe overfitting, in embedding-based neural networks for NLP. We chose two widely studied neural models and tasks as our testbed. We tried…

Computation and Language · Computer Science 2015-08-18 Hao Peng , Lili Mou , Ge Li , Yunchuan Chen , Yangyang Lu , Zhi Jin

The rapid advancement of models based on artificial intelligence demands innovative monitoring techniques which can operate in real time with low computational costs. In machine learning, especially if we consider artificial neural networks…

Methodology · Statistics 2023-11-10 Anna Malinovskaya , Pavlo Mozharovskyi , Philipp Otto

In recent years, new regularization methods based on (deep) neural networks have shown very promising empirical performance for the numerical solution of ill-posed problems, e.g., in medical imaging and imaging science. Due to the…

Numerical Analysis · Mathematics 2024-06-07 Tim Jahn , Bangti Jin

Animals rely on different decision strategies when faced with ambiguous or uncertain cues. Depending on the context, decisions may be biased towards events that were most frequently experienced in the past, or be more explorative. A…

Neurons and Cognition · Quantitative Biology 2023-05-10 Younes Bouhadjar , Dirk J. Wouters , Markus Diesmann , Tom Tetzlaff

Feedforward Neural Network (FNN)-based language models estimate the probability of the next word based on the history of the last N words, whereas Recurrent Neural Networks (RNN) perform the same task based only on the last word and some…

Computation and Language · Computer Science 2017-03-24 Youssef Oualil , Clayton Greenberg , Mittul Singh , Dietrich Klakow

Classical Hopfield networks are limited to static patterns due to symmetric weights, whereas asymmetric networks can encode temporal sequences via limit-cycle attractors. Achieving high-capacity storage of long sequences in classical…

Machine Learning · Computer Science 2026-05-26 Aakash Kumar , Anatoly Khina , Frederik Mallmann-Trenn , Emanuele Natale

We discuss prototype formation in the Hopfield network. Typically, Hebbian learning with highly correlated states leads to degraded memory performance. We show this type of learning can lead to prototype formation, where unlearned states…

Neural and Evolutionary Computing · Computer Science 2024-07-08 Hayden McAlister , Anthony Robins , Lech Szymanski

In this work we solve the dynamics of pattern diluted associative networks, evolving via sequential Glauber update. We derive dynamical equations for the order parameters, that quantify the simultaneous pattern recall of the system, and…

Disordered Systems and Neural Networks · Physics 2015-06-19 Silvia Bartolucci , Alessia Annibale

A recurrent neural net is described that learns a set of patterns in the presence of noise. The learning rule is of Hebbian type, and, if noise would be absent during the learning process, the resulting final values of the weights would…

Disordered Systems and Neural Networks · Physics 2009-11-07 W A van Leeuwen , B Wemmenhove

Nonstationarity is ubiquitous in practical classification settings, leading deployed models to perform poorly even when they generalize well to holdout sets available at training time. We address this by reframing nonstationary…

Machine Learning · Computer Science 2026-04-09 Jimmy Gammell , Bishal Thapaliya , Yoon Jung , Riyasat Ohib , Bilel Fehri , Deepayan Chakrabarti

Recent work has shown that recurrent neural networks (RNNs) can implicitly capture and exploit hierarchical information when trained to solve common natural language processing tasks such as language modeling (Linzen et al., 2016) and…

Computation and Language · Computer Science 2018-08-29 Ke Tran , Arianna Bisazza , Christof Monz

The categorization ability of fully connected neural network models, with either discrete or continuous Q-state units, is studied in this work in replica symmetric mean-field theory. Hierarchically correlated multi-state patterns in a two…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Erichsen , W. K. Theumann , D. R. C. Dominguez

Stochastic reaction-diffusion models can be analytically studied on complex networks using the linear noise approximation. This is illustrated through the use of a specific stochastic model, which displays traveling waves in its…

Statistical Mechanics · Physics 2015-06-16 Malbor Asllani , Tommaso Biancalani , Duccio Fanelli , Alan J. McKane

We study the long-time behavior of stochastic models with an absorbing state, conditioned on survival. For a large class of processes, in which saturation prevents unlimited growth, statistical properties of the surviving sample attain…

Statistical Mechanics · Physics 2009-11-07 Ronald Dickman , Ronaldo Vidigal

Network representation learning has exploded recently. However, existing studies usually reconstruct networks as sequences or matrices, which may cause information bias or sparsity problem during model training. Inspired by a cognitive…

Machine Learning · Computer Science 2019-10-01 Jie Bai , Linjing Li , Daniel Zeng

Systems of dynamical interactions between competing species can be used to model many complex systems, and can be mathematically described by {\em random} networks. Understanding how patterns of activity arise in such systems is important…

Adaptation and Self-Organizing Systems · Physics 2016-01-21 Nick McCullen , Thomas Wagenknecht
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