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Mandelbrot introduced the concept of fractals to describe the nonEuclidean shape of many aspects of the natural world. In the time series context he proposed the use of fractional Brownian motion (fBm) to model non-negligible temporal persistence, the “Joseph Effect”; and Lévy flights to quantify large discontinuities, the “Noah Effect”. In space physics, both effects are manifested in the inte...

Simulations of environmental processes are usually modelled by partial differential equations that are approximated with numerical methods, based on regular grids. An attractive alternative for simulating a fluid flow is the FreeLagrange Method (FLM). In this paper, I discuss the use of the FLM—based on the Voronoi diagram (VD)—for the modelling of fluid flow in three dimensions (e.g. the movem...

This paper presents a local pattern-based method for forecasting failures in a data stream context. It also details a successful application to complex vacuum pumping system prognosis. More precisely, using historical data, the behavior of a set of pumping systems is first modeled by extracting a given type of episode rules, namely the First Local Maximum episode rules (FLM-rules). Each rule co...

A fuzzy controller is suited to control Antilock Brake System (ABS) however time complexity of fuzzy controller is high order. Problem Solution Data Structure (PSDS) has been introduced as a data-oriented model of fuzzy controller to reduce the response time. Locally learning of PSDS controller has been left as an open issue. Fuzzy Learning Mechanism (FLM) has been introduced by using fuzzy inf...

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