Neural networks for conditional probability estimation : forecasting beyond point predictions / Dirk Husmeier / Perspectives in neural computing

Husmeier, Dirk:

ISBN 10: 1852330953 / ISBN 13: 9781852330958

Published by London ; Berlin ; Tokyo ; Heidelberg ; New York ; Barcelona ; Hong Kong ; Milan ; Paris ; Santa Clara ; Singapore : Springer, 1999

About this Item

XXIII, 275 S. : graph. Darst. ; 24 cm Like new. Unread book. --- Neuwertiger Zustand. Ungelesenes Buch. 9781852330958 Sprache: Deutsch Gewicht in Gramm: 467 Softcover reprint of the original 1st ed. 1999.

Seller Inventory # 200027

Bibliographic Details

• Title: Neural networks for conditional probability estimation : forecasting beyond point predictions / Dirk Husmeier / Perspectives in neural computing
• Publisher: London ; Berlin ; Tokyo ; Heidelberg ; New York ; Barcelona ; Hong Kong ; Milan ; Paris ; Santa Clara ; Singapore : Springer
• Publication Date: 1999
• Language: English
• ISBN 10: 1852330953
• ISBN 13: 9781852330958
• Binding: Softcover
• Seller catalogs:
  • Computer & Internet

About this title

Synopsis

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.