keywords = "genetic algorithms, genetic programming, Long memory,
Time series forecasting, Multi-objective search, ARFIMA
models",
ISSN = "1389-2576",
DOI = "doi:10.1007/s10710-011-9140-7",
size = "28 pages",
abstract = "Real-world time series have certain properties, such
as stationarity, seasonality, linearity, among others,
which determine their underlying behaviour. There is a
particular class of time series called long-memory
processes, characterised by a persistent temporal
dependence between distant observations, that is, the
time series values depend not only on recent past
values but also on observations of much prior time
periods. The main purpose of this research is the
development, application, and evaluation of a
computational intelligence method specifically tailored
for long memory time series forecasting, with emphasis
on many-step-ahead prediction. The method proposed here
is a hybrid combining genetic programming and the
fractionally integrated (long-memory) component of
autoregressive fractionally integrated moving average
(ARFIMA) models. Another objective of this study is the
discovery of useful comprehensible novel knowledge,
represented as time series predictive models. In this
respect, a new evolutionary multi-objective search
method is proposed to limit complexity of evolved
solutions and to improve predictive quality. Using
these methods allows for obtaining lower complexity
(and possibly more comprehensible) models with high
predictive quality, keeping run time and memory
requirements low, and avoiding bloat and over-fitting.
The methods are assessed on five real-world long memory
time series and their performance is compared to that
of statistical models reported in the literature.
Experimental results show the proposed methods'
advantages in long memory time series forecasting.",
notes = "River Nile flow, Radial basis function, finance UK
inflation rate. FI-GP. Long-memory variables. RBF-GP.
fractional Gaussian Model