Noise reduction in images, also known as image smoothing, is an essential and rst step before further processings are done on the image. The key to image smoothing is to preserve important features while removing noise from the image. Gaussian function is widely used in image smoothing. Recently it has been reported that exponential functions (value of the exponent is not equal to 2) perform su...

In this paper, we reinterpret the most basic exponential smoothing equation as a model of social influence. Exponential smoothing has been used as a time-series forecasting and data filtering technique since the 1950s. The most basic exponential smoothing equation, S t+1 = (1−α)S +αX, is used to estimate the value of a series at time t+ 1, denoted by S , as a convex combination of the current e...

Adaptive exponential smoothing methods allow smoothing parameters to change over time, in order to adapt to changes in the characteristics of the time series. This paper presents a new adaptive method for predicting the volatility in financial returns. It enables the smoothing parameter to vary as a logistic function of user-specified variables. The approach is analogous to that used to model t...

This paper has a focus on non-stationary time series formed from small non-negative integer values which may contain many zeros and may be over-dispersed. It describes a study undertaken to compare various suitable adaptations of the simple exponential smoothing method of forecasting on a database of demand series for slow moving car parts. The methods considered include simple exponential smoo...