Neural Networks for Conditional Probability Estimation

Neural Networks for Conditional Probability Estimation PDF Author: Dirk Husmeier
Publisher: Springer Science & Business Media
ISBN: 1447108477
Category : Computers
Languages : en
Pages : 280

Get Book Here

Book Description
Conventional applications of neural networks usually predict a single value as a function of given inputs. In forecasting, for example, a standard objective is to predict the future value of some entity of interest on the basis of a time series of past measurements or observations. Typical training schemes aim to minimise the sum of squared deviations between predicted and actual values (the 'targets'), by which, ideally, the network learns the conditional mean of the target given the input. If the underlying conditional distribution is Gaus sian or at least unimodal, this may be a satisfactory approach. However, for a multimodal distribution, the conditional mean does not capture the relevant features of the system, and the prediction performance will, in general, be very poor. This calls for a more powerful and sophisticated model, which can learn the whole conditional probability distribution. Chapter 1 demonstrates that even for a deterministic system and 'be nign' Gaussian observational noise, the conditional distribution of a future observation, conditional on a set of past observations, can become strongly skewed and multimodal. In Chapter 2, a general neural network structure for modelling conditional probability densities is derived, and it is shown that a universal approximator for this extended task requires at least two hidden layers. A training scheme is developed from a maximum likelihood approach in Chapter 3, and the performance ofthis method is demonstrated on three stochastic time series in chapters 4 and 5.

Neural Networks for Conditional Probability Estimation

Neural Networks for Conditional Probability Estimation PDF Author: Dirk Husmeier
Publisher: Springer Science & Business Media
ISBN: 1447108477
Category : Computers
Languages : en
Pages : 280

Get Book Here

Book Description
Conventional applications of neural networks usually predict a single value as a function of given inputs. In forecasting, for example, a standard objective is to predict the future value of some entity of interest on the basis of a time series of past measurements or observations. Typical training schemes aim to minimise the sum of squared deviations between predicted and actual values (the 'targets'), by which, ideally, the network learns the conditional mean of the target given the input. If the underlying conditional distribution is Gaus sian or at least unimodal, this may be a satisfactory approach. However, for a multimodal distribution, the conditional mean does not capture the relevant features of the system, and the prediction performance will, in general, be very poor. This calls for a more powerful and sophisticated model, which can learn the whole conditional probability distribution. Chapter 1 demonstrates that even for a deterministic system and 'be nign' Gaussian observational noise, the conditional distribution of a future observation, conditional on a set of past observations, can become strongly skewed and multimodal. In Chapter 2, a general neural network structure for modelling conditional probability densities is derived, and it is shown that a universal approximator for this extended task requires at least two hidden layers. A training scheme is developed from a maximum likelihood approach in Chapter 3, and the performance ofthis method is demonstrated on three stochastic time series in chapters 4 and 5.

Neural Networks for Pattern Recognition

Neural Networks for Pattern Recognition PDF Author: Christopher M. Bishop
Publisher: Oxford University Press
ISBN: 0198538642
Category : Computers
Languages : en
Pages : 501

Get Book Here

Book Description
Statistical pattern recognition; Probability density estimation; Single-layer networks; The multi-layer perceptron; Radial basis functions; Error functions; Parameter optimization algorithms; Pre-processing and feature extraction; Learning and generalization; Bayesian techniques; Appendix; References; Index.

Artificial Intelligence and Soft Computing

Artificial Intelligence and Soft Computing PDF Author: Leszek Rutkowski
Publisher: Springer Nature
ISBN: 3030879860
Category : Computers
Languages : en
Pages : 536

Get Book Here

Book Description
The two-volume set LNAI 12854 and 12855 constitutes the refereed proceedings of the 20th International Conference on Artificial Intelligence and Soft Computing, ICAISC 2021, held in Zakopane, Poland, in June 2021. Due to COVID 19, the conference was held virtually. The 89 full papers presented were carefully reviewed and selected from 195 submissions. The papers included both traditional artificial intelligence methods and soft computing techniques as well as follows: · Neural Networks and Their Applications · Fuzzy Systems and Their Applications · Evolutionary Algorithms and Their Applications · Artificial Intelligence in Modeling and Simulation · Computer Vision, Image and Speech Analysis · Data Mining · Various Problems of Artificial Intelligence · Bioinformatics, Biometrics and Medical Applications

Probabilistic Modeling in Bioinformatics and Medical Informatics

Probabilistic Modeling in Bioinformatics and Medical Informatics PDF Author: Dirk Husmeier
Publisher: Springer Science & Business Media
ISBN: 1846281199
Category : Computers
Languages : en
Pages : 511

Get Book Here

Book Description
Probabilistic Modelling in Bioinformatics and Medical Informatics has been written for researchers and students in statistics, machine learning, and the biological sciences. The first part of this book provides a self-contained introduction to the methodology of Bayesian networks. The following parts demonstrate how these methods are applied in bioinformatics and medical informatics. All three fields - the methodology of probabilistic modeling, bioinformatics, and medical informatics - are evolving very quickly. The text should therefore be seen as an introduction, offering both elementary tutorials as well as more advanced applications and case studies.

Learning in Graphical Models

Learning in Graphical Models PDF Author: Michael Irwin Jordan
Publisher: MIT Press
ISBN: 9780262600323
Category : Computers
Languages : en
Pages : 652

Get Book Here

Book Description
Presents an exploration of issues related to learning within the graphical model formalism. This text covers topics such as: inference for Bayesian networks; Monte Carlo methods; variational methods; and learning with Bayesian networks.

Pattern Recognition

Pattern Recognition PDF Author: Cheng-Lin Liu
Publisher: Springer
ISBN: 3642335063
Category : Computers
Languages : en
Pages : 699

Get Book Here

Book Description
This book constitutes the refereed proceedings of the Chinese Conference on Pattern Recognition, CCPR 2012, held in Beijing, China, in September 2012. The 82 revised full papers presented were carefully reviewed and selected from 137 submissions. The papers are organized in topical sections on pattern recognition theory; computer vision; biometric recognition; medical imaging; image and video analysis; document analysis; speech processing; natural language processing and information retrieval.

Innovations, Algorithms, and Applications in Cognitive Informatics and Natural Intelligence

Innovations, Algorithms, and Applications in Cognitive Informatics and Natural Intelligence PDF Author: Chui, Kwok Tai
Publisher: IGI Global
ISBN: 1799830403
Category : Science
Languages : en
Pages : 403

Get Book Here

Book Description
While cognitive informatics and natural intelligence are receiving greater attention by researchers, multidisciplinary approaches still struggle with fundamental problems involving psychology and neurobiological processes of the brain. Examining the difficulties of certain approaches using the tools already available is vital for propelling knowledge forward and making further strides. Innovations, Algorithms, and Applications in Cognitive Informatics and Natural Intelligence is a collection of innovative research that examines the enhancement of human cognitive performance using emerging technologies. Featuring research on topics such as parallel computing, neuroscience, and signal processing, this book is ideally designed for engineers, computer scientists, programmers, academicians, researchers, and students.

Current Approaches in Applied Artificial Intelligence

Current Approaches in Applied Artificial Intelligence PDF Author: Moonis Ali
Publisher: Springer
ISBN: 3319190660
Category : Computers
Languages : en
Pages : 760

Get Book Here

Book Description
This book constitutes the refereed conference proceedings of the 28th International Conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems, IEA/AIE 2015, held in Seoul, South Korea, in June 2015. The 73 revised full papers presented were carefully reviewed and selected from 105 submissions. The papers cover a wide range of topics in applied artificial intelligence including reasoning, robotics, cognitive modeling, machine learning, pattern recognition, optimization, text mining, social network analysis, and evolutionary algorithms. They are organized in the following topical sections: theoretical AI, knowledge-based systems, optimization, Web and social networks, machine learning, classification, unsupervised learning, vision, image and text processing, and intelligent systems applications.

Uncertainty Analysis in Engineering and Sciences: Fuzzy Logic, Statistics, and Neural Network Approach

Uncertainty Analysis in Engineering and Sciences: Fuzzy Logic, Statistics, and Neural Network Approach PDF Author: Bilal M. Ayyub
Publisher: Springer Science & Business Media
ISBN: 146155473X
Category : Computers
Languages : en
Pages : 376

Get Book Here

Book Description
Uncertainty has been of concern to engineers, managers and . scientists for many centuries. In management sciences there have existed definitions of uncertainty in a rather narrow sense since the beginning of this century. In engineering and uncertainty has for a long time been considered as in sciences, however, synonymous with random, stochastic, statistic, or probabilistic. Only since the early sixties views on uncertainty have ~ecome more heterogeneous and more tools to model uncertainty than statistics have been proposed by several scientists. The problem of modeling uncertainty adequately has become more important the more complex systems have become, the faster the scientific and engineering world develops, and the more important, but also more difficult, forecasting of future states of systems have become. The first question one should probably ask is whether uncertainty is a phenomenon, a feature of real world systems, a state of mind or a label for a situation in which a human being wants to make statements about phenomena, i. e. , reality, models, and theories, respectively. One cart also ask whether uncertainty is an objective fact or just a subjective impression which is closely related to individual persons. Whether uncertainty is an objective feature of physical real systems seems to be a philosophical question. This shall not be answered in this volume.

Graphical Models for Machine Learning and Digital Communication

Graphical Models for Machine Learning and Digital Communication PDF Author: Brendan J. Frey
Publisher: MIT Press
ISBN: 9780262062022
Category : Computers
Languages : en
Pages : 230

Get Book Here

Book Description
Content Description. #Includes bibliographical references and index.