Is taking natural log superior to not? - Using a characteristics oriented fuzzy Hopfield neural network to identify probability density functions

Authors:
Eva C. Yen
Affiliations:
Department of Business Administration, National Central University, No. 300, Jhongda Road, Jhongli City, Taoyuan County 320, Taiwan
Venue:
Expert Systems with Applications: An International Journal
Year:
2009

Citing 12
Cited 1

Decision Combination in Multiple Classifier Systems

IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust maximum likelihood training of heteroscedastic probabilistic neural networks

Neural Networks
A two-level Hamming network for high performance associative memory

Neural Networks
2005 Special Issue: On the relationship between deterministic and probabilistic directed Graphical models: From Bayesian networks to recursive neural networks

Neural Networks - Special issue on neural networks and kernel methods for structured domains
Modelling small-business credit scoring by using logistic regression, neural networks and decision trees: Research Articles

International Journal of Intelligent Systems in Accounting and Finance Management
Hybrid approaches for classification under information acquisition cost constraint

Decision Support Systems
Towards probabilistic footy tipping: a hybrid approach utilising genetically defined neural networks and linear programming

Computers and Operations Research
Implementing wavelet/probabilistic neural networks for Doppler ultrasound blood flow signals

Expert Systems with Applications: An International Journal
Electrocardiogram beat classification based on wavelet transformation and probabilistic neural network

Pattern Recognition Letters
Conception of complex probabilistic neural network system for classification of partial discharge patterns using multifarious inputs

Expert Systems with Applications: An International Journal
The capacity of the Kanerva associative memory

IEEE Transactions on Information Theory
Probabilistic neural networks and the polynomial Adaline as complementary techniques for classification

IEEE Transactions on Neural Networks

Integrating data transformation techniques with Hopfield neural networks for solving travelling salesman problem

Expert Systems with Applications: An International Journal

Quantified Score

Hi-index	12.05

Visualization

Abstract

Lognormal processes are important from a theoretical perspective. We reexamine the problem of whether it is better to take natural log or not? If not, how to identify the probability density function is still an important problem. The assertion that taking natural log is closer to normality is not supported by the simulation and empirical data. The probabilistic neural network contains the entire set of training cases, and is therefore space-consuming and slow to execute. In addition, there is an inverse problem in PNNs, i.e., we may obtain the same sum of square errors from different density functions. We therefore propose a screening mechanism based on characteristics oriented fuzzy rules in the Hopfield neural network to simplify the estimation process and avoid the inverse problem. From the characteristics oriented fuzzy HNN, we obtain that the best fitting of the data is the Weibull distribution.