Symbolic Data Analysis

Symbolic Data Analysis
Author: Lynne Billard
Publisher: John Wiley & Sons
Total Pages: 330
Release: 2012-05-14
Genre: Mathematics
ISBN: 0470090170

With the advent of computers, very large datasets have become routine. Standard statistical methods don’t have the power or flexibility to analyse these efficiently, and extract the required knowledge. An alternative approach is to summarize a large dataset in such a way that the resulting summary dataset is of a manageable size and yet retains as much of the knowledge in the original dataset as possible. One consequence of this is that the data may no longer be formatted as single values, but be represented by lists, intervals, distributions, etc. The summarized data have their own internal structure, which must be taken into account in any analysis. This text presents a unified account of symbolic data, how they arise, and how they are structured. The reader is introduced to symbolic analytic methods described in the consistent statistical framework required to carry out such a summary and subsequent analysis. Presents a detailed overview of the methods and applications of symbolic data analysis. Includes numerous real examples, taken from a variety of application areas, ranging from health and social sciences, to economics and computing. Features exercises at the end of each chapter, enabling the reader to develop their understanding of the theory. Provides a supplementary website featuring links to download the SODAS software developed exclusively for symbolic data analysis, data sets, and further material. Primarily aimed at statisticians and data analysts, Symbolic Data Analysis is also ideal for scientists working on problems involving large volumes of data from a range of disciplines, including computer science, health and the social sciences. There is also much of use to graduate students of statistical data analysis courses.

Theory and Novel Applications of Machine Learning

Theory and Novel Applications of Machine Learning
Author: Er Meng Joo
Publisher: BoD – Books on Demand
Total Pages: 390
Release: 2009-01-01
Genre: Computers
ISBN: 3902613556

Even since computers were invented, many researchers have been trying to understand how human beings learn and many interesting paradigms and approaches towards emulating human learning abilities have been proposed. The ability of learning is one of the central features of human intelligence, which makes it an important ingredient in both traditional Artificial Intelligence (AI) and emerging Cognitive Science. Machine Learning (ML) draws upon ideas from a diverse set of disciplines, including AI, Probability and Statistics, Computational Complexity, Information Theory, Psychology and Neurobiology, Control Theory and Philosophy. ML involves broad topics including Fuzzy Logic, Neural Networks (NNs), Evolutionary Algorithms (EAs), Probability and Statistics, Decision Trees, etc. Real-world applications of ML are widespread such as Pattern Recognition, Data Mining, Gaming, Bio-science, Telecommunications, Control and Robotics applications. This books reports the latest developments and futuristic trends in ML.

The Equilibrium Manifold

The Equilibrium Manifold
Author: Yves Balasko
Publisher: MIT Press
Total Pages: 245
Release: 2009-04-17
Genre: Business & Economics
ISBN: 0262262045

A leading scholar in the field presents post-1970s developments in the theory of general equilibrium, unified by the concept of equilibrium manifold. In The Equilibrium Manifold, noted economic scholar and major contributor to the theory of general equilibrium Yves Balasko argues that, contrary to what many textbooks want readers to believe, the study of the general equilibrium model did not end with the existence and welfare theorems of the 1950s. These developments, which characterize the modern phase of the theory of general equilibrium, led to what Balasko calls the postmodern phase, marked by the reintroduction of differentiability assumptions and the application of the methods of differential topology to the study of the equilibrium equation. Balasko's rigorous study demonstrates the central role played by the equilibrium manifold in understanding the properties of the Arrow-Debreu model and its extensions. Balasko argues that the tools of differential topology articulated around the concept of equilibrium manifold offer powerful methods for studying economically important issues, from existence and uniqueness to business cycles and economic fluctuations. After an examination of the theory of general equilibrium's evolution in the hundred years between Walras and Arrow-Debreu, Balasko discusses the properties of the equilibrium manifold and the natural projection. He highlights the important role of the set of no-trade equilibria, the structure of which is applied to the global structure of the equilibrium manifold. He also develops a geometric approach to the study of the equilibrium manifold. Applications include stability issues of adjustment dynamics for out-of-equilibrium prices, the introduction of price-dependent preferences, and aspects of time and uncertainty in extensions of the general equilibrium model that account for various forms of market frictions and imperfections. Special effort has been made at reducing the mathematical technicalities without compromising rigor. The Equilibrium Manifold makes clear the ways in which the postmodern” developments of the Arrow-Debreu model improve our understanding of modern market economies.

Parallel Processing and Parallel Algorithms

Parallel Processing and Parallel Algorithms
Author: Seyed H Roosta
Publisher: Springer Science & Business Media
Total Pages: 579
Release: 2012-12-06
Genre: Computers
ISBN: 1461212200

Motivation It is now possible to build powerful single-processor and multiprocessor systems and use them efficiently for data processing, which has seen an explosive ex pansion in many areas of computer science and engineering. One approach to meeting the performance requirements of the applications has been to utilize the most powerful single-processor system that is available. When such a system does not provide the performance requirements, pipelined and parallel process ing structures can be employed. The concept of parallel processing is a depar ture from sequential processing. In sequential computation one processor is in volved and performs one operation at a time. On the other hand, in parallel computation several processors cooperate to solve a problem, which reduces computing time because several operations can be carried out simultaneously. Using several processors that work together on a given computation illustrates a new paradigm in computer problem solving which is completely different from sequential processing. From the practical point of view, this provides sufficient justification to investigate the concept of parallel processing and related issues, such as parallel algorithms. Parallel processing involves utilizing several factors, such as parallel architectures, parallel algorithms, parallel programming lan guages and performance analysis, which are strongly interrelated. In general, four steps are involved in performing a computational problem in parallel. The first step is to understand the nature of computations in the specific application domain.

Therapeutic Landscapes

Therapeutic Landscapes
Author: Allison Williams
Publisher: Routledge
Total Pages: 399
Release: 2017-05-15
Genre: Science
ISBN: 1317010809

The therapeutic landscape concept, first introduced early in the 1990s, has been widely employed in health/medical geography and gaining momentum in various health-related disciplines. This is the first book published in several years, and provides an introduction to the concept and its applications. Written by health/medical geographers and anthropologists, it addresses contemporary applications in the natural and built environments; for special populations, such as substance abusers; and in health care sites, a new and evolving area - and provides an array of critiques or contestations of the concept and its various applications. The conclusion of the work provides a critical evaluation of the development and progress of the concept to date, signposting the likely avenues for future investigation.

The Nature and Growth of Modern Mathematics

The Nature and Growth of Modern Mathematics
Author: Edna Ernestine Kramer
Publisher: Princeton University Press
Total Pages: 790
Release: 1982
Genre: Mathematics
ISBN: 9780691023724

Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.

The Employment and Support Allowance Regulations 2013

The Employment and Support Allowance Regulations 2013
Author: Great Britain
Publisher:
Total Pages: 72
Release: 2012-12-10
Genre:
ISBN: 9780111531877

Enabling power: Welfare Reform Act 2007, ss. 2 (1) (a) (c) (4) (a) (c), 3 (1) (c) (2) (b) (d) (3), 8 (1) to (3) (4) (a) (b) (5) (6), 9 (1) to (3) (4) (a) (b), 11A (5), 11B (2) (3), 11D (2) (d), 11E (1), 11H (5) (6), 11J (3) (4) (8), 17 (1) (2) (3) (a) (b), 18 (1) (2) (4), 20 (2) to (7), 24 (1) (2) (b) (3), 25 (2) to (5), sch. 1, paras 1 (3) (4), 3 (2), 4 (1) (a) (c) (3) (4), sch. 2, paras 1 to 4A, 5, 6, 9, 10 & Social Security Administration Act 1992, ss. 5 (1A), 189 (4) to (6), 191 & Social Security Act 1998, s. 21 (1) (a) & Welfare Reform Act 2012, sch. 5, paras 2 (3), 3. Issued: 10.12.2012. Made: -. Laid: -. Coming into force: 29.04.2013. Effect: None. Territorial extent & classification: E/W/S. For approval by resolution of each House of Parliament