Neural Network Classification [Roya Asadi*, Haitham Sabah Hasan, Sameem Abdul Kareem]
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Growing Neural Gas with Correntropy Induced Metric
Growing Neural Gas with Correntropy Induced Metric Naoki Masuyama Chu Kiong Loo Faculty of Computer Science and Information Technology, Faculty of Computer Science and Information Technology, University of Malaya, University of Malaya, 50603 Kuala Lumpur, MALAYSIA 50603 Kuala Lumpur, MALAYSIA Email: [email protected] Email: [email protected] Abstract—This paper discusses the Correntropy Induced Met- of arbitrary shapes without any assumptions on the number ric (CIM) based Growing Neural Gas (GNG) architecture. CIM is of clusters. Boonmee et al. [13] introduced a hybrid GNG a kernel method based similarity measurement from the informa- by considering not only the distance between the clusters, tion theoretic learning perspective, which quantifies the similarity between probability distributions of input and reference vectors. but also the centroids of the each cluster to obtain more We apply CIM to find a maximum error region and node insert practical topology structure. Mohebi and Bagirov [14] applied criterion, instead of euclidean distance based function in original an algorithm based on split and merge of clusters to initialize GNG. Furthermore, we introduce the two types of Gaussian neurons. The initialization algorithm speeds up the learning kernel bandwidth adaptation methods for CIM. The simulation process in large high-dimensional data sets. Palomo et al. experiments in terms of the affect of kernel bandwidth σ in CIM, the self-organizing ability, and the quantitative comparison show [15] combined GNG and tree structure to represent a network that proposed model has the superior abilities than original GNG. topology, which is called Growing Neural Forest (GNF). Index Terms—Growing Neural Gas; Correntropy Induced GNF learns a set of trees so that each tree represents a Metric; Kernel Method; Clustering; connected cluster of data. -
Probabilistic Graphical Model Based on Growing Neural Gas for Long Time Series Classification
Modern Applied Science; Vol. 9, No. 2; 2015 ISSN 1913-1844 E-ISSN 1913-1852 Published by Canadian Center of Science and Education Probabilistic Graphical Model Based on Growing Neural Gas for Long Time Series Classification Irina N. Palamar1 & Sergey S. Yulin1 1 Soloviev Rybinsk State Aviation Technical University, Rybinsk, Russia Correspondence: Sergey S. Yulin, Soloviev Rybinsk State Aviation Technical University, Rybinsk, Russia. Received: September 10, 2014 Accepted: October 16, 2014 Online Published: December 11, 2014 doi:10.5539/mas.v9n2p108 URL: http://dx.doi.org/10.5539/mas.v9n2p108 Abstract This article proposes a generative probabilistic graphical model with hidden states (Neural Gas Graphical Model (NGGM)) based on data approximation with a grid of "neural gas" nodes aimed at solving the problem of long time series classification. Such time series include information about changes in economic, weather and health values, as well as information about changes in values of operation sensors of technical objects during a quite long period. The most difficult task of classification of such long time series using probabilistic graphical models with hidden states is the selection of the optimum number of hidden states. This work proposes a method for automatic selection of the optimum number of hidden states of the model in the course of the model learning. The model proposed in the article and the methods of its learning are based on a combination of elements used in the metric and Bayesian approaches to classification. The basic NGGM purpose is to match hidden states of a graphical model and nodes (neurons) of the approximating grid. -
222826308.Pdf
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Aston Publications Explorer Published in: Neural Computation 18, 446-469 (2006) Magnification Control in Self-Organizing Maps and Neural Gas Thomas Villmann Clinic for Psychotherapy, University of Leipzig, 04107 Leipzig, Germany Jens Christian Claussen Institute of Theoretical Physics and Astrophysics, Christian-Albrecht University Kiel, 24098 Kiel, Germany We consider different ways to control the magnification in self-organizing maps (SOM) and neural gas (NG). Starting from early approaches of magnification control in vector quantization, we then concentrate on different approaches for SOM and NG. We show that three structurally similar approaches can be applied to both algorithms: localized learning, concave-convex learning, and winner relaxing learning. Thereby, the approach of concave-convex learning in SOM is extended to a more general description, whereas the concave-convex learning for NG is new. In general, the control mechanisms generate only slightly different behavior comparing both neural algorithms. However, we emphasize that the NG results are valid for any data dimension, whereas in the SOM case the results hold only for the one-dimensional case. 1 Introduction Vector quantization is an important task in data processing, pattern recog- nition and control (Fritzke, 1993; Haykin, 1994; Linde, Buzo, & Gray, 1980; Ripley, 1996). A large number of different types have been dis- cussed, (for an overview, refer to Haykin, 1994; Kohonen, 1995; Duda & Hart, 1973). Neural maps are a popular type of neural vector quan- tizers that are commonly used in, for example, data visualization, feature extraction, principle component analysis, image processing, classification tasks, and acceleration of common vector quantization (de Bodt, Cot- trell, Letremy, & Verleysen, 2004). -
Batch and Median Neural Gas Marie Cottrell, Barbara Hammer, Alexander Hasenfuss, Thomas Villmann
Batch and median neural gas Marie Cottrell, Barbara Hammer, Alexander Hasenfuss, Thomas Villmann To cite this version: Marie Cottrell, Barbara Hammer, Alexander Hasenfuss, Thomas Villmann. Batch and median neural gas. Neural Networks, Elsevier, 2006, 19, pp.762-771. 10.1016/j.neunet.2006.05.018. hal-00107462 HAL Id: hal-00107462 https://hal.archives-ouvertes.fr/hal-00107462 Submitted on 18 Oct 2006 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Batch and median neural gas Marie Cottrell SAMOS-MATISSE, Universite´ Paris I, Paris, France Barbara Hammer 1 Institute of Computer Science, Clausthal University of Technology, Clausthal-Zellerfeld, Germany Alexander Hasenfuß Institute of Computer Science, Clausthal University of Technology, Clausthal-Zellerfeld, Germany Thomas Villmann Clinic for Psychotherapy, Universitat¨ Leipzig, Leipzig, Germany ccsd-00107462, version 1 - 18 Oct 2006 1 corresponding author: Barbara Hammer, Institute of Computer Science, Clausthal University of Technology, Julius-Albert-Str. 4, D-38678 Clausthal-Zellerfeld, Germany, [email protected] Preprint submitted to Elsevier Science 18 October 2006 Abstract Neural Gas (NG) constitutes a very robust clustering algorithm given euclidian data which does not suffer from the problem of local minima like simple vector quantization, or topo- logical restrictions like the self-organizing map. -
Arxiv:1509.07093V1 [Cs.LG] 23 Sep 2015
Noname manuscript No. (will be inserted by the editor) A Review of Learning Vector Quantization Classifiers David Nova · Pablo A. Estévez the date of receipt and acceptance should be inserted later Abstract In this work we present a review of the state of the art of Learning Vector Quantization (LVQ) classifiers. A taxonomy is proposed which inte- grates the most relevant LVQ approaches to date. The main concepts associ- ated with modern LVQ approaches are defined. A comparison is made among eleven LVQ classifiers using one real-world and two artificial datasets. Keywords Learning Vector Quantization · Supervised Learning · Neural Networks · Margin Maximization · Likelihood Ratio Maximization 1 Introduction Learning Vector Quantization (LVQ) is a family of algorithms for statistical pattern classification, which aims at learning prototypes (codebook vectors) representing class regions. The class regions are defined by hyperplanes be- tween prototypes, yielding Voronoi partitions. In the late 80’s Teuvo Kohonen introduced the algorithm LVQ1 [36, 38], and over the years produced several variants. Since their inception LVQ algorithms have been researched by a small but active community. A search on the ISI Web of Science in November, 2013, found 665 journal articles with the keywords “Learning Vector Quantization” or “LVQ” in their titles or abstracts. This paper is a review of the progress made in the field during the last 25 years. D. Nova Department of Electrical Engineering, Faculty of Physical and Mathematical Sciences, Uni- versity of Chile, Santiago, Chile E-mail: [email protected] P. A. Estévez arXiv:1509.07093v1 [cs.LG] 23 Sep 2015 Department of Electrical Engineering and Advanced Mining Technology Center, Faculty of Physical and Mathematical Sciences, University of Chile, Santiago, Chile E-mail: [email protected] 2 David Nova, Pablo A. -
A New Self-Organizing Neural Gas Model Based on Bregman Divergences
A New Self-Organizing Neural Gas Model based on Bregman Divergences Esteban J. Palomo∗, Miguel A. Molina-Cabello∗, Ezequiel Lopez-Rubio´ ∗ and Rafael Marcos Luque-Baena∗ ∗Department of Computer Languages and Computer Science University of Malaga,´ Bulevar Louis Pasteur, 35, 29071 Malaga,´ Spain Emails: fejpalomo,miguelangel,ezeqlr,[email protected] Abstract—In this paper, a new self-organizing neural gas by using Bregman divergences the most suitable divergence model that we call Growing Hierarchical Bregman Neural according to input data can be specified. In this paper, a new Gas (GHBNG) has been proposed. Our proposal is based self-organizing neural network called the Growing Hierar- on the Growing Hierarchical Neural Gas (GHNG) in which chical Bregman Neural Gas (GHBNG) is proposed, which Bregman divergences are incorporated in order to compute is grounded in the GHNG model and in which Bregman the winning neuron. This model has been applied to anomaly divergences have been considered. detection in video sequences together with a Faster R-CNN On the other hand, the proliferation in recent years of as an object detector module. Experimental results not only a huge amount of visual information in the form of data confirm the effectiveness of the GHBNG for the detection sequences has led to a growth in the field of intelligent video of anomalous object in video sequences but also its self- surveillance. In particular, one of the most important tasks organization capabilities. to consider is to automatically detect moving objects that are not very frequent in a scene and can be considered as anomalies. In recent years, the appearance of deep learning 1. -
1 Introduction
Controversial Empirical Results on Batch versus One Pass Online Algorithms CONTROVERSIAL EMPIRICAL RESULTS ON BATCH VERSUS ONE PASS ONLINE ALGORITHMS A. I. González, M. Graña1 Grupo de Inteligencia Computacional Facultad de Informática, UPV/EHU Apdo. 649, 20080 San Sebastián, España [email protected] Abstract – We present controversial empirical results about the relative convergence of batch and online neural network vector quantization (VQ) learning algorithms. It is the commonplace belief that online algorithms have a very slow convergence, while batch versions are faster and give better results. However we propose an online realization of the Self-Organizing Map (SOM) and the Neural Gas algorithm, with learning parameters tuned to perform the training in a one-pass over the sample, that are faster than their batch counterparts and that improve them on some benchmark data sets. Although these results are too limited to claim any kind of superiority of the One Pass algorithms over their batch counterparts, they nevertheless must be taken into account as existence proofs contradicting the claim that the batch realizations are faster and more accurate than online algorithms. Keywords – SOM, Neural Gas, Batch, One pass online 1 Introduction Vector Quantization [9, 10, 12] is a technique that maps a set of input vectors into a finite collection of predetermined codevectors. The set of all codevectors is called the codebook. In designing a vector quantizer, the goal is to construct a codebook for which the expected distortion of approximating any input vector by a codevector is minimized. This task has been tackled by with Competitive Neural Networks (CNN) [1]. -
Self-Organizing Neural Networks for Sequence Processing
University of OsnabruckÄ Institute of Computer Science Department of Mathematics and Computer Science Self-Organizing Neural Networks for Sequence Processing Thesis by Marc Strickert In partial ful¯llment of the requirements for the degree of Doctor of Computer Science (Dr. rer. nat.) Osnabruck,Ä Germany June 7, 2004 Referees: Prof. Dr. Barbara Hammer, Research Group `Learning with Neural Methods on Structured Data' (LNM), Technical University of Clausthal, Germany. Prof. Dr. Helge Ritter, Faculty of Technology, Neuroinformatics Group, University of Bielefeld, Germany. Self-Organizing Neural Networks for Sequence Processing Arbeitsgruppe LNM Institut furÄ Informatik am Fachbereich furÄ Mathematik, Informatik und Angewandte Systemwissenschaft UniversitÄat OsnabruckÄ D-49069 Osnabruck,Ä Germany Arbeitsgruppenleiterin: Dr. Barbara Hammer Institutsdirektor: Prof. Dr. Oliver Vornberger Autor: Dipl.-Systemwiss. Marc Strickert Osnabruck,Ä Juni 2004 Abstract This work investigates the self-organizing representation of temporal data in prototype- based neural networks. Extensions of the supervised learning vector quantization (LVQ) and the unsupervised self-organizing map (SOM) are considered in detail. The principle of Hebbian learning through prototypes yields compact data models that can be easily interpreted by similarity reasoning. In order to obtain a robust prototype dynamic, LVQ is extended by neighborhood cooperation between neurons to prevent a strong dependence on the initial prototype locations. Additionally, implementations of more general, adap- tive metrics are studied with a particular focus on the built-in detection of data attributes involved for a given classi¯cation task. For unsupervised sequence processing, two modi¯- cations of SOM are pursued: the SOM for structured data (SOMSD) realizing an e±cient back-reference to the previous best matching neuron in a triangular low-dimensional neural lattice, and the merge SOM (MSOM) expressing the temporal context as a fractal combi- nation of the previously most active neuron and its context.