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This paper introduces a new probabilistic framework for supervised learning in neural systems. It is designed to model complex, uncertain systems whose random outputs are strongly non-Gaussian given deterministic inputs. The architecture…

Machine Learning · Statistics 2025-12-12 Christian Soize

Neural-network based predictions of event properties in astro-particle physics are getting more and more common. However, in many cases the result is just utilized as a point prediction. Statistical uncertainties, coverage, systematic…

Machine Learning · Computer Science 2024-03-14 Thorsten Glüsenkamp

$\textbf{Formal version available at}$ https://cell.com/patterns/fulltext/S2666-3899(23)00200-3 Networks of spiking neurons underpin the extraordinary information-processing capabilities of the brain and have become pillar models in…

Neural and Evolutionary Computing · Computer Science 2023-09-18 Gehua Ma , Rui Yan , Huajin Tang

We study distributed algorithms implemented in a simplified biologically inspired model for stochastic spiking neural networks. We focus on tradeoffs between computation time and network complexity, along with the role of randomness in…

Neural and Evolutionary Computing · Computer Science 2017-08-22 Nancy Lynch , Cameron Musco , Merav Parter

Much work has been done recently to make neural networks more interpretable, and one obvious approach is to arrange for the network to use only a subset of the available features. In linear models, Lasso (or $\ell_1$-regularized) regression…

Machine Learning · Statistics 2021-06-17 Ismael Lemhadri , Feng Ruan , Louis Abraham , Robert Tibshirani

Neural networks are increasingly employed to model, analyze and control non-linear dynamical systems ranging from physics to biology. Owing to their universal approximation capabilities, they regularly outperform state-of-the-art…

Dynamical Systems · Mathematics 2023-12-27 Alessandro Corbetta , Thomas Geert de Jong

This paper proposes a new family of algorithms for training neural networks (NNs). These are based on recent developments in the field of non-convex optimization, going under the general name of successive convex approximation (SCA)…

Machine Learning · Statistics 2017-06-16 Simone Scardapane , Paolo Di Lorenzo

From a fresh data science perspective, this thesis discusses the prediction of coronary artery disease based on genetic variations at the DNA base pair level, called Single-Nucleotide Polymorphisms (SNPs), collected from the Ontario Heart…

Machine Learning · Computer Science 2014-02-04 Hubert Haoyang Duan

Spatio-temporal graph neural networks (STGNNs) are widely used for short-term forecasting in dynamic physical systems such as traffic and weather. However, the prevailing evaluation practice uses real world benchmark data sets in a single…

Machine Learning · Computer Science 2026-05-12 Henok Tenaw Moges , Charalampos Skokos , Deshendran Moodley

We train an artificial neural network which distinguishes chaotic and regular dynamics of the two-dimensional Chirikov standard map. We use finite length trajectories and compare the performance with traditional numerical methods which need…

Machine Learning · Computer Science 2020-04-24 Woo Seok Lee , Sergej Flach

This study investigates how dynamical systems may be learned and modelled with a neuromorphic network which is itself a dynamical system. The neuromorphic network used in this study is based on a complex electrical circuit comprised of…

Disordered Systems and Neural Networks · Physics 2025-10-24 Yinhao Xu , Georg A. Gottwald , Zdenka Kuncic

We propose a neural network model with transient chaos, or a transiently chaotic neural network (TCNN) as an approximation method for combinatorial optimization problem, by introducing transiently chaotic dynamics into neural networks.…

chao-dyn · Physics 2008-02-03 Luonan Chen , Kazuyuki Aihara

Recently, a general data driven numerical framework has been developed for learning and modeling of unknown dynamical systems using fully- or partially-observed data. The method utilizes deep neural networks (DNNs) to construct a model for…

Machine Learning · Computer Science 2022-05-18 Victor Churchill , Dongbin Xiu

Chaos control techniques have been applied to a wide variety of experimental systems, including magneto-elastic ribbons, lasers, chemical reactions, arrhythmic cardiac tissue, and spontaneously bursting neuronal networks. An underlying…

chao-dyn · Physics 2008-02-03 David J. Christini , James J. Collins

We set up a signal-driven scheme of the chaotic neural network with the coupling constants corresponding to certain information, and investigate the stochastic resonance-like effects under its deterministic dynamics, comparing with the…

Chaotic Dynamics · Physics 2007-05-23 Haruhiko Nishimura , Naofumi Katada , Kazuyuki Aihara

Inspired by the brain's hierarchical processing and energy efficiency, this paper presents a Spiking Neural Network (SNN) architecture for lifelong Network Intrusion Detection System (NIDS). The proposed system first employs an efficient…

Machine Learning · Computer Science 2026-01-01 Md Zesun Ahmed Mia , Malyaban Bal , Sen Lu , George M. Nishibuchi , Suhas Chelian , Srini Vasan , Abhronil Sengupta

In the present paper, I describe a spiking neural network (SNN) architecture which, can be used in wide range of supervised learning classification tasks. It is assumed, that all participating signals (the classified object description,…

Neural and Evolutionary Computing · Computer Science 2025-03-13 Mikhail Kiselev

At its core, machine learning seeks to train models that reliably generalize beyond noisy observations; however, the theoretical vacuum in which state-of-the-art universal approximation theorems (UATs) operate isolates them from this goal,…

Machine Learning · Statistics 2025-09-03 Anastasis Kratsios , Tin Sum Cheng , Daniel Roy

Neural Architecture Search (NAS) methods are widely used in various industries to obtain high quality taskspecific solutions with minimal human intervention. Event Sequences find widespread use in various industrial applications including…

In essence, a neural network is an arbitrary differentiable, parametrized function. Choosing a neural network architecture for any task is as complex as searching the space of those functions. For the last few years, 'neural architecture…

Machine Learning · Computer Science 2021-06-01 George Philipp