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We give a status report on the determination of a set of parton distributions based on neural networks. In particular, we summarize the determination of the nonsinglet quark distribution up to NNLO, we compare it with results obtained using…

High Energy Physics - Phenomenology · Physics 2007-06-15 NNPDF Collaboration , J. Rojo , R. D. Ball , L. Del Debbio , S. Forte , A. Guffanti , J. I. Latorre , A. Piccione , M. Ubiali

The Self-Organizing Map (SOM) is a brain-inspired neural model that is very promising for unsupervised learning, especially in embedded applications. However, it is unable to learn efficient prototypes when dealing with complex datasets. We…

Neural and Evolutionary Computing · Computer Science 2020-09-07 Lyes Khacef , Laurent Rodriguez , Benoit Miramond

We introduce the neural network approach to the parametrization of parton distributions. After a general introduction, we present in detail our approach to parametrize experimental data, based on a combination of Monte Carlo methods and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Joan Rojo

Spiking neural networks (SNNs) with a lattice architecture are introduced in this work, combining several desirable properties of SNNs and self-organized maps (SOMs). Networks are trained with biologically motivated, unsupervised learning…

Neural and Evolutionary Computing · Computer Science 2019-06-28 Hananel Hazan , Daniel J. Saunders , Darpan T. Sanghavi , Hava Siegelmann , Robert Kozma

This paper defines a new learning architecture, Layered Self-Organizing Maps (LSOMs), that uses the SOM and supervised-SOM learning algorithms. The architecture is validated with the MNIST database of hand-written digit images. LSOMs are…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 David Friedlander

Many forms of programmable matter have been proposed for various tasks. We use an abstract model of self-organizing particle systems for programmable matter which could be used for a variety of applications, including smart paint and…

Emerging Technologies · Computer Science 2017-10-24 Alexandra Porter , Andréa W. Richa

In sufficiently complex tasks, it is expected that as a side effect of learning to solve a problem, a neural network will learn relevant abstractions of the representation of that problem. This has been confirmed in particular in machine…

Artificial Intelligence · Computer Science 2023-12-12 Mathieu d'Aquin

This paper presents SO-Net, a permutation invariant architecture for deep learning with orderless point clouds. The SO-Net models the spatial distribution of point cloud by building a Self-Organizing Map (SOM). Based on the SOM, SO-Net…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Jiaxin Li , Ben M. Chen , Gim Hee Lee

We have extended recently proposed model of parton distribution i nucleons to the case of nucleons in nuclei.

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Rozynek , G. Wilk

Inspired by biology's most sophisticated computer, the brain, neural networks constitute a profound reformulation of computational principles. Remarkably, analogous high-dimensional, highly-interconnected computational architectures also…

Disordered Systems and Neural Networks · Physics 2024-01-23 Constantine Glen Evans , Jackson O'Brien , Erik Winfree , Arvind Murugan

Large graphs are natural mathematical models for describing the structure of the data in a wide variety of fields, such as web mining, social networks, information retrieval, biological networks, etc. For all these applications, automatic…

Applications · Statistics 2008-01-08 Romain Boulet , Bertrand Jouve , Fabrice Rossi , Nathalie Villa

Neural networks have proved to be versatile and robust for particle separation in many experiments related to particle astrophysics. We apply these techniques to separate gamma rays from hadrons for the MAGIC Cerenkov Telescope. Two types…

Astrophysics · Physics 2015-06-24 P. Boinee , F. Barbarino , A. De Angelis , A. Saggion , M. Zacchello

Nuclei classification provides valuable information for histopathology image analysis. However, the large variations in the appearance of different nuclei types cause difficulties in identifying nuclei. Most neural network based methods are…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Wei Lou , Xiang Wan , Guanbin Li , Xiaoying Lou , Chenghang Li , Feng Gao , Haofeng Li

Parton distributions encode the momentum-space structure and, in their generalizations, the spatial tomography of quarks and gluons inside hadrons, the building blocks of visible matter. We present a unified neural-network approach that…

High Energy Physics - Lattice · Physics 2026-05-29 Min-Huan Chu , Krzysztof Cichy , Martha Constantinou , Paweł Sznajder , Jakub Wagner

Self-organizing networks such as Neural Gas, Growing Neural Gas and many others have been adopted in actual applications for both dimensionality reduction and manifold learning. Typically, in these applications, the structure of the adapted…

Neural and Evolutionary Computing · Computer Science 2015-03-23 Marco Piastra

This paper shows how a folded Markov chain network can be applied to the problem of processing data from multiple sensors, with an emphasis on the special case of 2 sensors. It is necessary to design the network so that it can transform a…

Neural and Evolutionary Computing · Computer Science 2010-12-21 S P Luttrell

Artificial neural networks which are inspired from the learning mechanism of brain have achieved great successes in many problems, especially those with deep layers. In this paper, we propose a nucleus neural network (NNN) and corresponding…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Jia Liu , Maoguo Gong , Haibo He

Self-organizing maps (SOMs) are a technique that has been used with high-dimensional data vectors to develop an archetypal set of states (nodes) that span, in some sense, the high-dimensional space. Noteworthy applications include weather…

Applications · Statistics 2009-01-23 Huiyan Sang , Alan E. Gelfand , Chris Lennard , Gabriele Hegerl , Bruce Hewitson

A new algorithm for extraction of asymmetries from polarized lepton-nucleon scattering data is proposed. The algorithm is stable to set-up acceptance and/or luminosity monitor acceptance variations. A statistical test for checking the data…

High Energy Physics - Experiment · Physics 2009-10-31 N. Gagunashvili

We construct a dynamical model for the parton distributions in a nucleus by perturbative evolution of input distributions from a low starting scale. These input distributions are obtained by modifications of the corresponding free nucleon…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Indumathi , Wei Zhu