
Applications of Soft Computing
Description
Alles über E-Books | Antworten auf Fragen rund um E-Books, Kopierschutz und Dateiformate finden Sie in unserem Info- & Hilfebereich.
Soft Computing is a complex of methodologies that embraces approximate reasoning, imprecision, uncertainty and partial truth in order to mimic the remarkable human capability of making decisions in real-life, ambiguous environments. Soft Computing has therefore become popular in developing systems that encapsulate human expertise. Applications of Soft Computing: Recent Trends contains a collection of papers that were presented at the 10th Online World Conference on Soft Computing in Industrial Applications, held in September 2005. This carefully edited book provides a comprehensive overview of the recent advances in the industrial applications of soft computing and covers a wide range of application areas, including optimisation, data analysis and data mining, computer graphics and vision, prediction and diagnosis, design, intelligent control, and traffic and transportation systems. The book is aimed at researchers and professional engineers who are engaged in developing and applying intelligent systems. It is also suitable as wider reading for science and engineering postgraduate students.
More details
Other editions
Additional editions

Content
Summary. Multidimensional Scaling (MDS) is a well established technique for the projection of high-dimensional data in pattern recognition, data visualization and analysis, as well as scientific and industrial applications. In particular, Sammons Nonlinear Mapping (NLM) as a common MDS instance, computes distance preserving mapping based on gradient descent, which depends on initialization and just can reach the nearest local optimum. Improvement of mapping quality or reduction of mapping error is aspired and can be achieved by more powerful optimization techniques, e.g., stochastic search, successfully applied in our prior work. In this paper, evolutionary optimization adapted to the particular problem and the NLM has been investigated for the same aim, showing the feasibility of the approach and delivering competitive and encouraging results.
1 Introduction
Multidimensional Scaling (MDS) is a common dimensional reduction method and widely used in exploratory data analysis and design of pattern recognition and integrated sensor systems for extraction of essential information from multivariate data sets [1]. Extraction of essential information by dimensionality reduction is required for various reasons. For instance, it can avoid the curse of dimensionality and thus improve the ability of classification. The analysis of unknown data by projection and ensuing interactive visualization is another common and important application of dimensionality reduction [2, 3].
MDS represents data in a smaller number of dimensions preserving the similarity structure of the data as much as possible. One common MDS instance is Sammons nonlinear mapping (NLM) that will be emphasized and discussed in this paper. In this method, a criterion denoted stress (error) function is defined and optimization takes place by gradient descent techniques [4]. These optimizations have known drawbacks, which strongly depend on the initialization, can get more easily trapped in a less fortunate local minimum and saturate on an undesirable high error value.
Implications of this behavior can be data visualizations of low reliability, which incorporate twists and misleading neighborhoods. To overcome this problem, there are some methods that have been proposed, e.g., simulated annealing [5] or using neural network [6]. In similar cases and applications, stochastic search optimization in our prior work has been successfully applied to overcome such a problem [7]. In this paper, we investigated another stochastic method, that draws inspiration from the process of natural evolution, i.e., evolutionary computation. In several research activities, MDS has been applied to extract useful information and visualize the progress of evolutionary optimization [8].
Additionally, some recent publications have introduced the application of genetic algorithm for optimizing MDS itself [9, 10]. Similar to those, we have applied evolutionary optimization. However, we adopted from our work on stochastic search [7] the concept of the mutation operator, rather than employing gradient factor, since this approach pursued in [9] takes significant computational effort. Regarding to the goals of mapping improvement, i.e., the reliability (error reduction) and speed computation, we examine the feasibility and assessment of applicability or competitiveness of such approaches adapted to MDS."
System requirements
File format: PDF
Copy protection: Watermark-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Use the free software Adobe Reader, Adobe Digital Editions, or any other PDF viewer of your choice (see eBook Help).
- Tablet/Smartphone (Android; iOS): Install the free app Adobe Digital Editions or another reading app for eBooks, e.g., PocketBook (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (only limited: Kindle).
The file format PDF always displays a book page identically on any hardware. This makes PDF suitable for complex layouts such as those used in textbooks and reference books (images, tables, columns, footnotes). Unfortunately, on the small screens of e-readers or smartphones, PDFs are rather annoying, requiring too much scrolling.
This eBook uses Watermark-DRM, a „soft” copy protection. This means that there are no technical restrictions to prevent illegal distribution. However, there is a personalised watermark embedded in the eBook that can be used to identify the purchaser of the eBook in the event of misuse and to provide evidence for legal purposes.
For more information, see our eBook Help page.