Mathematical Methods In Artificial Intelligence

Author : Edward A. Bender
Publisher : Wiley-IEEE Computer Society Press
Page : 0 pages
File Size : 46,6 Mb
Release : 1996-02-10
Category : Technology & Engineering
ISBN : 0818672005

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Mathematical Methods in Artificial Intelligence by Edward A. Bender Pdf

Mathematical Methods in Artificial Intelligence introduces the student to the important mathematical foundations and tools in AI and describes their applications to the design of AI algorithms. This useful text presents an introductory AI course based on the most important mathematics and its applications. It focuses on important topics that are proven useful in AI and involve the most broadly applicable mathematics. The book explores AI from three different viewpoints: goals, methods or tools, and achievements and failures. Its goals of reasoning, planning, learning, or language understanding and use are centered around the expert system idea. The tools of AI are presented in terms of what can be incorporated in the data structures. The book looks into the concepts and tools of limited structure, mathematical logic, logic-like representation, numerical information, and nonsymbolic structures. The text emphasizes the main mathematical tools for representing and manipulating knowledge symbolically. These are various forms of logic for qualitative knowledge, and probability and related concepts for quantitative knowledge. The main tools for manipulating knowledge nonsymbolically, as neural nets, are optimization methods and statistics. This material is covered in the text by topics such as trees and search, classical mathematical logic, and uncertainty and reasoning. A solutions diskette is available, please call for more information.

Author : Edward R. Dougherty,Charles R. Giardina
Publisher : Prentice Hall
Page : 446 pages
File Size : 52,5 Mb
Release : 1988-01-01
Category : Artificial intelligence
ISBN : 0135609216

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Mathematical Methods for Artificial Intelligence and Autonoumous Systems by Edward R. Dougherty,Charles R. Giardina Pdf

Author : T. Ananth Kumar,E. Golden Julie,Y. Harold Robinson,S. M. Jaisakthi
Publisher : John Wiley & Sons
Page : 370 pages
File Size : 44,9 Mb
Release : 2021-08-16
Category : Mathematics
ISBN : 9781119785507

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Simulation and Analysis of Mathematical Methods in Real-Time Engineering Applications by T. Ananth Kumar,E. Golden Julie,Y. Harold Robinson,S. M. Jaisakthi Pdf

SIMULATIONS AND ANALYSIS of Mathematical Methods Written and edited by a group of international experts in the field, this exciting new volume covers the state of the art of real-time applications of computer science using mathematics. This breakthrough edited volume highlights the security, privacy, artificial intelligence, and practical approaches needed by engineers and scientists in all fields of science and technology. It highlights the current research, which is intended to advance not only mathematics but all areas of science, research, and development, and where these disciplines intersect. As the book is focused on emerging concepts in machine learning and artificial intelligence algorithmic approaches and soft computing techniques, it is an invaluable tool for researchers, academicians, data scientists, and technology developers. The newest and most comprehensive volume in the area of mathematical methods for use in real-time engineering, this groundbreaking new work is a must-have for any engineer or scientist’s library. Also useful as a textbook for the student, it is a valuable contribution to the advancement of the science, both a working handbook for the new hire or student, and a reference for the veteran engineer.

Author : Marc Peter Deisenroth,A. Aldo Faisal,Cheng Soon Ong
Publisher : Cambridge University Press
Page : 391 pages
File Size : 51,8 Mb
Release : 2020-04-23
Category : Computers
ISBN : 9781108470049

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Mathematics for Machine Learning by Marc Peter Deisenroth,A. Aldo Faisal,Cheng Soon Ong Pdf

Distills key concepts from linear algebra, geometry, matrices, calculus, optimization, probability and statistics that are used in machine learning.

Author : Herb Kunze,Davide La Torre,Adam Riccoboni,Manuel Ruiz Galán
Publisher : CRC Press
Page : 530 pages
File Size : 45,7 Mb
Release : 2023-07-26
Category : Technology & Engineering
ISBN : 9781000907872

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Engineering Mathematics and Artificial Intelligence by Herb Kunze,Davide La Torre,Adam Riccoboni,Manuel Ruiz Galán Pdf

Explains the theory behind Machine Learning and highlights how Mathematics can be used in Artificial Intelligence Illustrates how to improve existing algorithms by using advanced mathematics and discusses how Machine Learning can support mathematical modeling Captures how to simulate data by means of artificial neural networks and offers cutting-edge Artificial Intelligence technologies Emphasizes the classification of algorithms, optimization methods, and statistical techniques Explores future integration between Machine Learning and complex mathematical techniques

Author : Frederick Hoffman,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 290 pages
File Size : 50,9 Mb
Release : 1998
Category : Artificial intelligence
ISBN : 9780821806111

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Mathematical Aspects of Artificial Intelligence by Frederick Hoffman,American Mathematical Society Pdf

There exists a history of great expectations and large investments involving artificial intelligence (AI). There are also notable shortfalls and memorable disappointments. One major controversy regarding AI is just how mathematical a field it is or should be. This text includes contributions that examine the connections between AI and mathematics, demonstrating the potential for mathematical applications and exposing some of the more mathematical areas within AI. The goal is to stimulate interest in people who can contribute to the field or use its results. Included in the work by M. Newborn on the famous Deep BLue chess match. He discusses highly mathematical techniques involving graph theory, combinatorics and probability and statistics. G. Shafer offers his development of probability through probability trees with some of the results appearing here for the first time. M. Golumbic treats temporal reasoning with ties to the famous Frame Problem. His contribution involves logic, combinatorics and graph theory and leads to two chapters with logical themes. H. Kirchner explains how ordering techniques in automated reasoning systems make deduction more efficient. Constraint logic programming is discussed by C. Lassez, who shows its intimate ties to linear programming with crucial theorems going back to Fourier. V. Nalwa's work provides a brief tour of computer vision, tying it to mathematics - from combinatorics, probability and geometry to partial differential equations. All authors are gifted expositors and are current contributors to the field. The wide scope of the volume includes research problems, research tools and good motivational material for teaching.

Author : Dirk P. Kroese,Zdravko Botev,Thomas Taimre,Radislav Vaisman
Publisher : CRC Press
Page : 538 pages
File Size : 54,8 Mb
Release : 2019-11-20
Category : Business & Economics
ISBN : 9781000730777

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Data Science and Machine Learning by Dirk P. Kroese,Zdravko Botev,Thomas Taimre,Radislav Vaisman Pdf

Focuses on mathematical understanding Presentation is self-contained, accessible, and comprehensive Full color throughout Extensive list of exercises and worked-out examples Many concrete algorithms with actual code

Author : National Research Council,Division on Engineering and Physical Sciences,Board on Manufacturing and Engineering Design,Commission on Engineering and Technical Systems,U.S. National Committee on Theoretical and Applied Mechanics
Publisher : National Academies Press
Page : 145 pages
File Size : 55,7 Mb
Release : 1991-02-01
Category : Technology & Engineering
ISBN : 9780309046480

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Research Directions in Computational Mechanics by National Research Council,Division on Engineering and Physical Sciences,Board on Manufacturing and Engineering Design,Commission on Engineering and Technical Systems,U.S. National Committee on Theoretical and Applied Mechanics Pdf

Computational mechanics is a scientific discipline that marries physics, computers, and mathematics to emulate natural physical phenomena. It is a technology that allows scientists to study and predict the performance of various productsâ€"important for research and development in the industrialized world. This book describes current trends and future research directions in computational mechanics in areas where gaps exist in current knowledge and where major advances are crucial to continued technological developments in the United States.

Author : Bruce R. Donald,Deepak Kapur,Joseph L. Mundy
Publisher : Unknown
Page : 392 pages
File Size : 44,8 Mb
Release : 1992
Category : Computers
ISBN : UOM:39015028453804

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Symbolic and Numerical Computation for Artificial Intelligence by Bruce R. Donald,Deepak Kapur,Joseph L. Mundy Pdf

Over the last decade, there has been considerable progress in investigating methods of symbolic mathematics in many application areas of computer science and artifical intelligence, such as engineering design, solid and geometric modelling, robotics and motion planning, and machine vision. This research has produced few applications within engineering and robotics because of the combinatorial cost of symbolic techniques. Therefore, it is essential to investigate approaches for systematic integration of symbolic with numerical techniques which are efficient for handling the huge amount of data that arises in practical applications, while at the same time maintain a logically consistent solution framework. Symbolic and Numerical Computation for Artificial Intelligence gives an overview of applications in machine vision, robotics and engineering design where there is a need for integrating symbolic and numerical methods. It also illustrates the case for an integrated symbolic and numerical environment to support the needs of these applications. This book will be essential reading for researchers in applied mathematics, symbolic and algebraic manipulation, and applied artificial intell

Author : Michael Griffiths,Carol Palissier
Publisher : Chapman & Hall
Page : 152 pages
File Size : 48,6 Mb
Release : 1987
Category : Computers
ISBN : UOM:39015011742957

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Algorithmic Methods for Artificial Intelligence by Michael Griffiths,Carol Palissier Pdf

This book provides students of computer studies and professional programmers with a practical introduction to artificial intelligence. It considers both algorithmic and programming methods, explains the theoretical concepts and includes numerous examples of the various techniques used. The text begins by reviewing the history and application of artificial intelligence, and the data structures and program structures involved, including trees, graphs and recursive programs. It then goes on to consider the resolution methods that must be applied to non-deterministic problems, introducing enumeration and theorem-proving. Chapter 4 looks at theorem proving more closely, and the use of basic mathematical methods are demonstrated in detail. The following two chapters are concerned with the practical application of these methods. Previously used examples illustrate the development of an expert system, and LISP and PROLOG are described in detail. The algorithmic language used is outlined in the first appendix, and the second appendix provides solutions to the exercises that appear throughout the book.

Author : George A. Anastassiou
Publisher : Springer Science & Business Media
Page : 802 pages
File Size : 51,8 Mb
Release : 2011-03-19
Category : Technology & Engineering
ISBN : 9783642170980

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Intelligent Mathematics: Computational Analysis by George A. Anastassiou Pdf

Knowledge can be modeled and computed using computational mathematical methods, then lead to real world conclusions. The strongly related to that Computational Analysis is a very large area with lots of applications. This monograph includes a great variety of topics of Computational Analysis. We present: probabilistic wavelet approximations, constrained abstract approximation theory, shape preserving weighted approximation, non positive approximations to definite integrals, discrete best approximation, approximation theory of general Picard singular operators including global smoothness preservation property, fractional singular operators. We also deal with non-isotropic general Picard singular multivariate operators and q-Gauss-Weierstrass singular q-integral operators. We talk about quantitative approximations by shift-invariant univariate and multivariate integral operators, nonlinear neural networks approximation, convergence with rates of positive linear operators, quantitative approximation by bounded linear operators, univariate and multivariate quantitative approximation by stochastic positive linear operators on univariate and multivariate stochastic processes. We further present right fractional calculus and give quantitative fractional Korovkin theory of positive linear operators. We also give analytical inequalities, fractional Opial inequalities, fractional identities and inequalities regarding fractional integrals. We further deal with semi group operator approximation, simultaneous Feller probabilistic approximation. We also present Fuzzy singular operator approximations. We give transfers from real to fuzzy approximation and talk about fuzzy wavelet and fuzzy neural networks approximations, fuzzy fractional calculus and fuzzy Ostrowski inequality. We talk about discrete fractional calculus, nabla discrete fractional calculus and inequalities. We study the q-inequalities, and q-fractional inequalities. We further study time scales: delta and nabla approaches, duality principle and inequalities. We introduce delta and nabla time scales fractional calculus and inequalities. We finally study convergence with rates of approximate solutions to exact solution of multivariate Dirichlet problem and multivariate heat equation, and discuss the uniqueness of solution of general evolution partial differential equation \ in multivariate time. The exposed results are expected to find applications to: applied and computational mathematics, stochastics, engineering, artificial intelligence, vision, complexity and machine learning. This monograph is suitable for graduate students and researchers.

Author : Jianping Gou,Weihua Ou,Shaoning Zeng
Publisher : Mdpi AG
Page : 0 pages
File Size : 45,5 Mb
Release : 2023-06-14
Category : Electronic
ISBN : 3036572627

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Advancement of Mathematical Methods in Feature Representation Learning for Artificial Intelligence, Data Mining and Robotics by Jianping Gou,Weihua Ou,Shaoning Zeng Pdf

The present reprint contains 33 articles accepted and published in the Special Issue entitled "Advancement of Mathematical Methods in Feature Representation Learning for Artificial Intelligence, Data Mining and Robotics, 2022" in the MDPI journal, Mathematics, which covers a wide range of topics connected to the theory and applications of feature representation learning for image processing, artificial intelligence, data mining and robotics. These topics include, among others, elements from image blurring, image aesthetic quality assessment, pedestrian detection, visual tracking, vehicle re-identification, face recognition, 3D reconstruction, the stability of switched systems, domain adaption, deep reinforcement, sentiment analysis, graph convolutional networks, knowledge graphs, geometric metric learning, etc. It is hoped that this reprint will be interesting and useful for those working in the area of image processing, computer vision, machine learning, natural language processing and robotics, as well as for those with backgrounds in machine learning who are willing to become familiar with recent advancements in artificial intelligence, which, today, is present in almost all aspects of human life and activities.

Author : Ezequiel López-Rubio,Esteban J Palomo,Enrique Domínguez
Publisher : Mdpi AG
Page : 0 pages
File Size : 43,5 Mb
Release : 2024-01-25
Category : Computers
ISBN : 3725800618

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Mathematical Methods and Applications for Artificial Intelligence and Computer Vision by Ezequiel López-Rubio,Esteban J Palomo,Enrique Domínguez Pdf

This Reprint comprises all of the accepted articles published as part of the Special Issue "Mathematical Methods and Applications for Artificial Intelligence and Computer Vision". The aim of this Special Issue was to publish recent theoretical and applied studies in computational intelligence and related fields, with a particular focus on computer vision. Our goal was to inspire researchers in this community to further their research in the field of artificial intelligence and computer vision while also encouraging the exploration of their valuable applications across various fields and disciplines. We hope that the included papers will stimulate further research and development in the domains of artificial intelligence and computer vision.

Author : Snehashish Chakraverty
Publisher : John Wiley & Sons
Page : 464 pages
File Size : 43,5 Mb
Release : 2020-07-15
Category : Mathematics
ISBN : 9781119585503

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Mathematical Methods in Interdisciplinary Sciences by Snehashish Chakraverty Pdf

Brings mathematics to bear on your real-world, scientific problems Mathematical Methods in Interdisciplinary Sciences provides a practical and usable framework for bringing a mathematical approach to modelling real-life scientific and technological problems. The collection of chapters Dr. Snehashish Chakraverty has provided describe in detail how to bring mathematics, statistics, and computational methods to the fore to solve even the most stubborn problems involving the intersection of multiple fields of study. Graduate students, postgraduate students, researchers, and professors will all benefit significantly from the author's clear approach to applied mathematics. The book covers a wide range of interdisciplinary topics in which mathematics can be brought to bear on challenging problems requiring creative solutions. Subjects include: Structural static and vibration problems Heat conduction and diffusion problems Fluid dynamics problems The book also covers topics as diverse as soft computing and machine intelligence. It concludes with examinations of various fields of application, like infectious diseases, autonomous car and monotone inclusion problems.

Author : Pedro Latorre Carmona,J. Salvador Sánchez,Ana L.N. Fred
Publisher : Springer Science & Business Media
Page : 200 pages
File Size : 45,8 Mb
Release : 2012-11-09
Category : Science
ISBN : 9781461450764

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Mathematical Methodologies in Pattern Recognition and Machine Learning by Pedro Latorre Carmona,J. Salvador Sánchez,Ana L.N. Fred Pdf

This volume features key contributions from the International Conference on Pattern Recognition Applications and Methods, (ICPRAM 2012,) held in Vilamoura, Algarve, Portugal from February 6th-8th, 2012. The conference provided a major point of collaboration between researchers, engineers and practitioners in the areas of Pattern Recognition, both from theoretical and applied perspectives, with a focus on mathematical methodologies. Contributions describe applications of pattern recognition techniques to real-world problems, interdisciplinary research, and experimental and theoretical studies which yield new insights that provide key advances in the field. This book will be suitable for scientists and researchers in optimization, numerical methods, computer science, statistics and for differential geometers and mathematical physicists.