2 edition of Modified fuzzy ARTMAP approaches bayes optimal classification rates found in the catalog.
Modified fuzzy ARTMAP approaches bayes optimal classification rates
Chee Peng Lim
by University of Sheffield, Dept. of Automatic Control and Systems Engineering in Sheffield
Written in English
|Statement||C.P. Lim and R.F. Harrison.|
|Series||Research report / University of Sheffield. Department of Automatic Control and Systems Engineering -- no.515, Research report (University of Sheffield. Department of Automatic Control and Systems Engineering) -- no.515.|
|Contributions||Harrison, R. F.|
1 Machine Learning /, Spring Naïve Bayes Classifier Eric Xing Lecture 3, Janu Reading: Chap. 4 CB and handouts Classification. Bayes classifiers for functional data pose a challenge. One difficulty is that probability density functions do not exist for functional data, so the classical Bayes classifier using density quotients needs to be modified. We propose to use density ratios of projections onto a sequence of eigenfunctions that are common to the groups to be Cited by:
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The Bayes optimal classification rate for the data set is 95%. The effects of the modifications proposed in this paper become evident with discrete-valued patterns. Since the four patterns may belong to either c 1 or c 2, FAM is not able to resolve the by: Modified Fuzzy ARTMAP Approaches Bayes Optimal Classification Rates: An Empirical Demonstration C.
Lim and R.F. Harrison Department of Automatic Control and Systems Engineering University of Sheffield P.O. BoxMappin Street Sheffield 4DU, UK ftesearch Report No May File Size: 9MB. Fuzzy Artmap Modifications for Intersecting Class Distributions.
Authors; Authors and affiliations C.P., and Harrison, R.F. (), “Modified fuzzy ARTMAP approaches Bayes optimal classification rates: an empirical Van Blerkom D.A. () Fuzzy Artmap Modifications for Intersecting Class Distributions. In: Jain L.C., Lazzerini B Cited by: 6. Modified Fuzzy ARTMAP Approaches Bayes Optimal Classification Rates: An Empirical Demonstration By Chee Peng Lim and Robert F.
Harrison No Author: Chee Peng Lim and Robert F. Harrison. Modified Fuzzy ARTMAP Approaches Bayes Optimal Classification Rates: An Empirical Demonstration Lim, Chee Peng and Harrison, Robert F.
Modified Fuzzy ARTMAP Approaches Bayes Optimal Classification Rates: An Empirical Demonstration, Neural networks, vol. 10, no. 4, pp.doi: /S(96) Advanced Developments and Applications of the Fuzzy ARTMAP Neural Network in Pattern Classification Modified fuzzy ARTMAP approaches Bayes optimal classification rates: An empirical demonstration.
() Advanced Developments and Applications of the Fuzzy ARTMAP Neural Network in Pattern Classification. In: Jain L.C., Sato-Ilic M Cited by: Chen PL, Harrison RF () Modified fuzzy ARTMAP approaches Bayes’ optimal classification rates: an empirical demonstration.
Neural Networks 10(4)– ArticleCited by: 3. Simulation results consistently demonstrate that modified FAM is able to approach the Bayes optimal classification rates on-line, and thereby justify the rationale behind the modifications.
This paper presents a hybrid model consisting of fuzzy ARTMAP (FAM) and reinforcement learning (RL) for tackling data classification problems. RL is used as a feedback mechanism to reward the prototype nodes of data samples established by FAM.
Specifically, Q-learning is adopted to develop the hybrid model known as QFAM. A Q-value is assigned to each prototype Cited by: 7. 2 Fuzzy ARTMAP and Modified Fuzzy ARTMAP Fuzzy ARTMAP (Carpenter et al., ) was selected for the application since it is claimed to possess a number of capabilities that are particularly suited to this domain.
First, fuzzy ARTMAP does not perform optimization of an objective function and is not therefore prone to the problem of local minima. Various configurations of the task have been investigated by varying the source (mean) separation, prior probabilities and variances of the two Gaussian sources.
The results illustrate the limitations of fuzzy ARTMAP in this content. This in turn leads to a modificatin to the algorithm of fuzzy ARTMAP. Together with a proposed category selection scheme, fuzzy ARTMAP is better able to approach the Bayes optimal classification rates Author: C.P.
Lim and R.F. Harrison. propose a hybrid utilisation of Fuzzy ARTMAP (FAM) (Carpenter et al (5)), a supervised ART network, with the PNN for on-line learning and classification tasks, and compare the results with the Bayes optimal rates.
where wa_ and is fuzzy "and" as: (IA Y), (1) is the weight vector of the jth Fu node; the choice parameter of ART. (5). The. The integrated probabilistic simplified fuzzy ARTMAP (IPSFAM) neural network is described. The primary objectives were to develop a network which determines the class of a test vector as that class which possesses the highest estimated Bayes posterior probability, can be trained with one iteration of training data, offers extendable training without retraining (i.e.
incremental training), is Cited by: 5. The inability of fuzzy ARTMAP in implementing a one-to-many mapping is explained. Thus, we propose a modification and a frequency measure scheme which tend to minimise the misclassification rates.
The performance of the modified network is assessed with noisy pattern sets in both stationary and non-stationary : Chee Peng Lim, Robert F. Harrison. C.P. Lim, R.F. HarrisonModified fuzzy ARTMAP approaches bayes optimal classification rates: An empirical demonstration Neural Networks, 10 (4) (), pp.
Google ScholarCited by: 8. demonsFate that modified fuzzy ARTMAP is capable of learning in a changing environment and, at the same time, of producing classification results which asymptotically approach the Bayes optimal limits.
FAMR (Fuzzy ARTMAP with Relevance factor) is a FAM (Fuzzy ARTMAP) neural network used for classification, probability es- timation (3), (2), and function approximation (4).
C.P. Lim, R.F. HarrisonModified fuzzy ARTMAP approaches bayes optimal classification rates: an empirical demonstration Neural Networks, 10 (4) (), pp. Google ScholarCited by: The ARTMAP networks such as Fuzzy ARTMAP , Polytope ARTMAP , Gaussian ARTMAP , Bayesian ARTMAP  are important in solving pattern classification problems.
We present an algorithmic variant of the simplified fuzzy ARTMAP (SFAM) network, whose structure resembles those of feed-forward networks. Marriott, S. and Harrison, R. F.: A modified fuzzy ARTMAP architecture for the approximation of noisy mappings, Neural Modified fuzzy ARTMAP approaches bayes optimal classification rates: An Author: Vakil-BaghmishehMohammad-Taghi, PavešićNikola.
Optimal Bayes Classifiers for Functional Data and Density Ratios Short title: Functional Bayes Classi ers Xiongtao Dai1 Department of Statistics University of California, Davis Davis, CA U.S.A. Email: [email protected] Hans-Georg Muller 2 Department of Statistics University of California, Davis Davis, CA U.S.A.The performance of PFAM is able to approach a value near to the Bayes optimal classification rate as the prototype samples increase.
This property is in accordance with the Parzen-windows theorem where the estimated probability function would more precisely converge to the actual underlying function when a larger sample size is by: This work presents a neural network based on the ART architecture (adaptive resonance theory), named fuzzy ART&ARTMAP neural network, applied to the electric load-forecasting problem.
The neural ne.