Average Time Complexity Of Decision Trees

Author : Igor Chikalov
Publisher : Springer Science & Business Media
Page : 108 pages
File Size : 45,5 Mb
Release : 2011-08-04
Category : Technology & Engineering
ISBN : 9783642226618

Get Book

Average Time Complexity of Decision Trees by Igor Chikalov Pdf

Decision tree is a widely used form of representing algorithms and knowledge. Compact data models and fast algorithms require optimization of tree complexity. This book is a research monograph on average time complexity of decision trees. It generalizes several known results and considers a number of new problems. The book contains exact and approximate algorithms for decision tree optimization, and bounds on minimum average time complexity of decision trees. Methods of combinatorics, probability theory and complexity theory are used in the proofs as well as concepts from various branches of discrete mathematics and computer science. The considered applications include the study of average depth of decision trees for Boolean functions from closed classes, the comparison of results of the performance of greedy heuristics for average depth minimization with optimal decision trees constructed by dynamic programming algorithm, and optimization of decision trees for the corner point recognition problem from computer vision. The book can be interesting for researchers working on time complexity of algorithms and specialists in test theory, rough set theory, logical analysis of data and machine learning.

Author : Susmita Bandyopadhyay
Publisher : CRC Press
Page : 395 pages
File Size : 52,8 Mb
Release : 2023-03-13
Category : Business & Economics
ISBN : 9781000845709

Get Book

Decision Support System by Susmita Bandyopadhyay Pdf

Discusses all the major tools and techniques for Decision Support System supported by examples Techniques are explained considering their deterministic and stochastic aspects Covers network tools including GERT and Q-GERT Explains application of both probability and fuzzy orientation in the pertinent techniques Includes a number of relevant case studies along with a dedicated chapter on software

Author : Mikhail Moshkov,Beata Zielosko
Publisher : Springer
Page : 182 pages
File Size : 50,7 Mb
Release : 2011-06-29
Category : Technology & Engineering
ISBN : 9783642209956

Get Book

Combinatorial Machine Learning by Mikhail Moshkov,Beata Zielosko Pdf

Decision trees and decision rule systems are widely used in different applications as algorithms for problem solving, as predictors, and as a way for knowledge representation. Reducts play key role in the problem of attribute (feature) selection. The aims of this book are (i) the consideration of the sets of decision trees, rules and reducts; (ii) study of relationships among these objects; (iii) design of algorithms for construction of trees, rules and reducts; and (iv) obtaining bounds on their complexity. Applications for supervised machine learning, discrete optimization, analysis of acyclic programs, fault diagnosis, and pattern recognition are considered also. This is a mixture of research monograph and lecture notes. It contains many unpublished results. However, proofs are carefully selected to be understandable for students. The results considered in this book can be useful for researchers in machine learning, data mining and knowledge discovery, especially for those who are working in rough set theory, test theory and logical analysis of data. The book can be used in the creation of courses for graduate students.

Author : Hassan AbouEisha,Talha Amin,Igor Chikalov,Shahid Hussain,Mikhail Moshkov
Publisher : Springer
Page : 280 pages
File Size : 49,9 Mb
Release : 2018-05-22
Category : Technology & Engineering
ISBN : 9783319918396

Get Book

Extensions of Dynamic Programming for Combinatorial Optimization and Data Mining by Hassan AbouEisha,Talha Amin,Igor Chikalov,Shahid Hussain,Mikhail Moshkov Pdf

Dynamic programming is an efficient technique for solving optimization problems. It is based on breaking the initial problem down into simpler ones and solving these sub-problems, beginning with the simplest ones. A conventional dynamic programming algorithm returns an optimal object from a given set of objects. This book develops extensions of dynamic programming, enabling us to (i) describe the set of objects under consideration; (ii) perform a multi-stage optimization of objects relative to different criteria; (iii) count the number of optimal objects; (iv) find the set of Pareto optimal points for bi-criteria optimization problems; and (v) to study relationships between two criteria. It considers various applications, including optimization of decision trees and decision rule systems as algorithms for problem solving, as ways for knowledge representation, and as classifiers; optimization of element partition trees for rectangular meshes, which are used in finite element methods for solving PDEs; and multi-stage optimization for such classic combinatorial optimization problems as matrix chain multiplication, binary search trees, global sequence alignment, and shortest paths. The results presented are useful for researchers in combinatorial optimization, data mining, knowledge discovery, machine learning, and finite element methods, especially those working in rough set theory, test theory, logical analysis of data, and PDE solvers. This book can be used as the basis for graduate courses.

Author : Sanjeev Arora,Boaz Barak
Publisher : Cambridge University Press
Page : 519 pages
File Size : 45,8 Mb
Release : 2009-04-20
Category : Computers
ISBN : 9781139477369

Get Book

Computational Complexity by Sanjeev Arora,Boaz Barak Pdf

This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set. The book starts with a broad introduction to the field and progresses to advanced results. Contents include: definition of Turing machines and basic time and space complexity classes, probabilistic algorithms, interactive proofs, cryptography, quantum computation, lower bounds for concrete computational models (decision trees, communication complexity, constant depth, algebraic and monotone circuits, proof complexity), average-case complexity and hardness amplification, derandomization and pseudorandom constructions, and the PCP theorem.

Author : Anonim
Publisher : PediaPress
Page : 523 pages
File Size : 51,7 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

Get Book

Computer Science by Anonim Pdf

Author : Ding-Zhu Du,Ker-I Ko
Publisher : John Wiley & Sons
Page : 517 pages
File Size : 50,6 Mb
Release : 2014-06-30
Category : Mathematics
ISBN : 9781118306086

Get Book

Theory of Computational Complexity by Ding-Zhu Du,Ker-I Ko Pdf

Praise for the First Edition "... complete, up-to-date coverage of computational complexity theory...the book promises to become the standard reference on computational complexity." —Zentralblatt MATH A thorough revision based on advances in the field of computational complexity and readers’ feedback, the Second Edition of Theory of Computational Complexity presents updates to the principles and applications essential to understanding modern computational complexity theory. The new edition continues to serve as a comprehensive resource on the use of software and computational approaches for solving algorithmic problems and the related difficulties that can be encountered. Maintaining extensive and detailed coverage, Theory of Computational Complexity, Second Edition, examines the theory and methods behind complexity theory, such as computational models, decision tree complexity, circuit complexity, and probabilistic complexity. The Second Edition also features recent developments on areas such as NP-completeness theory, as well as: A new combinatorial proof of the PCP theorem based on the notion of expander graphs, a research area in the field of computer science Additional exercises at varying levels of difficulty to further test comprehension of the presented material End-of-chapter literature reviews that summarize each topic and offer additional sources for further study Theory of Computational Complexity, Second Edition, is an excellent textbook for courses on computational theory and complexity at the graduate level. The book is also a useful reference for practitioners in the fields of computer science, engineering, and mathematics who utilize state-of-the-art software and computational methods to conduct research.

Author : Yeliz Karaca,Carlo Cattani
Publisher : Walter de Gruyter GmbH & Co KG
Page : 395 pages
File Size : 53,6 Mb
Release : 2018-12-17
Category : Mathematics
ISBN : 9783110496369

Get Book

Computational Methods for Data Analysis by Yeliz Karaca,Carlo Cattani Pdf

This graduate text covers a variety of mathematical and statistical tools for the analysis of big data coming from biology, medicine and economics. Neural networks, Markov chains, tools from statistical physics and wavelet analysis are used to develop efficient computational algorithms, which are then used for the processing of real-life data using Matlab.

Author : James F. Peters,Andrzej Skowron
Publisher : Springer
Page : 461 pages
File Size : 50,6 Mb
Release : 2005-05-02
Category : Computers
ISBN : 9783540318507

Get Book

Transactions on Rough Sets III by James F. Peters,Andrzej Skowron Pdf

The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets and other approaches to uncertainty, vagueness, and incompleteness, such as fuzzy sets and theory of evidence. This third volume of the Transactions on Rough Sets presents 11 revised papers that have been through a careful peer reviewing process by the journal's Editorial Board. The research monograph "Time Complexity of Decision Trees" by Mikhail Ju. Moshkov is presented in the section on dissertation and monographs. Among the regular papers the one by Zdzislaw Pawlak entitled "Flow Graphs and Data Mining" deserves a special mention.

Author : Koichi Furukawa,Kōichi Furukawa,Donald Michie,Stephen Muggleton
Publisher : Oxford University Press
Page : 518 pages
File Size : 54,7 Mb
Release : 1999
Category : Business & Economics
ISBN : 0198538677

Get Book

Machine Intelligence 15 by Koichi Furukawa,Kōichi Furukawa,Donald Michie,Stephen Muggleton Pdf

The Machine Intelligence series was founded in 1965 by Donald Michie and has included many of the most important developments in the field over the past decades. This volume focuses on the theme of intelligent agents and features work by a number of eminent figures in artificial intelligence, including John McCarthy, Alan Robinson, Robert Kowalski, and Mike Genesereth. Topics include representations of consciousness, SoftBots, parallel implementations of logic, machine learning, machine vision, and machine-based scientific discovery in molecular biology.

Author : Yee Ling Boo,David Stirling,Lianhua Chi,Lin Liu,Kok-Leong Ong,Graham Williams
Publisher : Springer
Page : 277 pages
File Size : 50,8 Mb
Release : 2018-04-13
Category : Computers
ISBN : 9789811302923

Get Book

Data Mining by Yee Ling Boo,David Stirling,Lianhua Chi,Lin Liu,Kok-Leong Ong,Graham Williams Pdf

This book constitutes the refereed proceedings of the 15th Australasian Conference on Data Mining, AusDM 2017, held in Melbourne, VIC, Australia, in August 2017. The 17 revised full papers presented together with 11 research track papers and 6 application track papers were carefully reviewed and selected from 31 submissions. The papers are organized in topical sections on clustering and classification; big data; time series; outlier detection and applications; social media and applications.

Author : Igor Chikalov,Vadim Lozin,Irina Lozina,Mikhail Moshkov,Hung Son Nguyen,Andrzej Skowron,Beata Zielosko
Publisher : Springer Science & Business Media
Page : 209 pages
File Size : 50,8 Mb
Release : 2012-07-28
Category : Technology & Engineering
ISBN : 9783642286674

Get Book

Three Approaches to Data Analysis by Igor Chikalov,Vadim Lozin,Irina Lozina,Mikhail Moshkov,Hung Son Nguyen,Andrzej Skowron,Beata Zielosko Pdf

In this book, the following three approaches to data analysis are presented: - Test Theory, founded by Sergei V. Yablonskii (1924-1998); the first publications appeared in 1955 and 1958, - Rough Sets, founded by Zdzisław I. Pawlak (1926-2006); the first publications appeared in 1981 and 1982, - Logical Analysis of Data, founded by Peter L. Hammer (1936-2006); the first publications appeared in 1986 and 1988. These three approaches have much in common, but researchers active in one of these areas often have a limited knowledge about the results and methods developed in the other two. On the other hand, each of the approaches shows some originality and we believe that the exchange of knowledge can stimulate further development of each of them. This can lead to new theoretical results and real-life applications and, in particular, new results based on combination of these three data analysis approaches can be expected. - Logical Analysis of Data, founded by Peter L. Hammer (1936-2006); the first publications appeared in 1986 and 1988. These three approaches have much in common, but researchers active in one of these areas often have a limited knowledge about the results and methods developed in the other two. On the other hand, each of the approaches shows some originality and we believe that the exchange of knowledge can stimulate further development of each of them. This can lead to new theoretical results and real-life applications and, in particular, new results based on combination of these three data analysis approaches can be expected. These three approaches have much in common, but researchers active in one of these areas often have a limited knowledge about the results and methods developed in the other two. On the other hand, each of the approaches shows some originality and we believe that the exchange of knowledge can stimulate further development of each of them. This can lead to new theoretical results and real-life applications and, in particular, new results based on combination of these three data analysis approaches can be expected.

Author : DR. B. SHADAKSHARAPPA
Publisher : Book Rivers
Page : 358 pages
File Size : 44,8 Mb
Release : 2021-11-24
Category : Antiques & Collectibles
ISBN : 9789355150813

Get Book

DESIGN AND ANALYSIS OF ALGORITHMS by DR. B. SHADAKSHARAPPA Pdf

Author : Jiawei Han,Jian Pei,Hanghang Tong
Publisher : Morgan Kaufmann
Page : 786 pages
File Size : 55,5 Mb
Release : 2022-07-02
Category : Computers
ISBN : 9780128117613

Get Book

Data Mining by Jiawei Han,Jian Pei,Hanghang Tong Pdf

Data Mining: Concepts and Techniques, Fourth Edition introduces concepts, principles, and methods for mining patterns, knowledge, and models from various kinds of data for diverse applications. Specifically, it delves into the processes for uncovering patterns and knowledge from massive collections of data, known as knowledge discovery from data, or KDD. It focuses on the feasibility, usefulness, effectiveness, and scalability of data mining techniques for large data sets. After an introduction to the concept of data mining, the authors explain the methods for preprocessing, characterizing, and warehousing data. They then partition the data mining methods into several major tasks, introducing concepts and methods for mining frequent patterns, associations, and correlations for large data sets; data classificcation and model construction; cluster analysis; and outlier detection. Concepts and methods for deep learning are systematically introduced as one chapter. Finally, the book covers the trends, applications, and research frontiers in data mining. Presents a comprehensive new chapter on deep learning, including improving training of deep learning models, convolutional neural networks, recurrent neural networks, and graph neural networks Addresses advanced topics in one dedicated chapter: data mining trends and research frontiers, including mining rich data types (text, spatiotemporal data, and graph/networks), data mining applications (such as sentiment analysis, truth discovery, and information propagattion), data mining methodologie and systems, and data mining and society Provides a comprehensive, practical look at the concepts and techniques needed to get the most out of your data

Author : Hee-Kap Ahn,Chan-Su Shin
Publisher : Springer
Page : 781 pages
File Size : 53,9 Mb
Release : 2014-11-07
Category : Computers
ISBN : 9783319130750

Get Book

Algorithms and Computation by Hee-Kap Ahn,Chan-Su Shin Pdf

This book constitutes the refereed proceedings of the 25th International Symposium on Algorithms and Computation, ISAAC 2014, held in Jeonju, Korea, in December 2014. The 60 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 171 submissions for inclusion in the book. The focus of the volume in on the following topics: computational geometry, combinatorial optimization, graph algorithms: enumeration, matching and assignment, data structures and algorithms, fixed-parameter tractable algorithms, scheduling algorithms, computational complexity, computational complexity, approximation algorithms, graph theory and algorithms, online and approximation algorithms, and network and scheduling algorithms.