Forecasting of curves using a Kohonen classification
✍ Scribed by Marie Cottrell; Bernard Girard; Patrick Rousset
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 193 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0277-6693
No coin nor oath required. For personal study only.
✦ Synopsis
This paper addresses an extensively studied problem, which is a particular case of long-term forecasting. In many practical situations, one has to predict a complete curve, i.e. the set of the 24 hourly values for the next day, of all the daily values for the next month or for the next year. For example, it is the case if the matter is to forecast the daily half-hour electricity consumption. Many methods have been developed, standard linear methods (e.g. ARIMA) as well as neural ones. In this paper we present a very simple method that we call the K-method. We assume the forecasting problem can be split up into three subproblems: the forecast of the mean (level of the values), of the standard deviation (scattering) and of the normalized pro®le (which essentially represents the shape). The pro®les are classi®ed using a Kohonen map with the neighbourhood preservation property and the mean and variance are ®tted using any convenient shortterm forecasting method. Then, for some future curve, a strategy is de®ned in order to compute its expected normalized pro®le, the mean and the variance are forecast and the expected curve is computed. This method is low computation time consuming and is easy to develop. Two applications are presented: an example using arti®cial data and the prediction of the daily half-hour electrical power curves in France.
📜 SIMILAR VOLUMES
A method based on analysis of the region of movement and the functioning of the acto-myosin cytoskeleton has been elaborated to quantify and classify patterns of organelle movement in tobacco pollen tubes. The trajectory was dilated to the region of movement, which was then reduced to give a one-pix
## ABSTRACT This paper compares various ways of extracting macroeconomic information from a data‐rich environment for forecasting the yield curve using the Nelson–Siegel model. Five issues in extracting factors from a large panel of macro variables are addressed; namely, selection of a subset of th
We propose a new method of classifying vector bundles on projective curves, especially singular ones, according to their "representation type." In particular, we prove that the classification problem of vector bundles, respectively of torsion-free sheaves, on projective curves is always finite, tame