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The singularity spectrum is a function used in multifractal analysis to describe the fractal dimension of a subset of points of a function belonging to a group of points that have the same Hölder exponent. Intuitively, the singularity spectrum gives a value for how "fractal" a set of points are in a function.
More formally, the singularity spectrum of a function, , is defined as:
Where is the function describing the Hölder exponent, of at the point . is the Hausdorff dimension of a point set.
and 25 Related for: Singularity spectrum information
The singularityspectrum is a function used in multifractal analysis to describe the fractal dimension of a subset of points of a function belonging to...
In time series analysis, singularspectrum analysis (SSA) is a nonparametric spectral estimation method. It combines elements of classical time series...
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describe its dynamics; instead, a continuous spectrum of exponents (the so-called singularityspectrum) is needed. Multifractal systems are common in...
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cycles from data include the Christiano–Fitzgerald, Hodrick–Prescott, singularspectrum, and Harvey-Trimbur filters. The first systematic exposition of economic...
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; Jensen, R. V. (1989). "Direct determination of the f( alpha ) singularityspectrum". Physical Review Letters. 62 (12): 1327–1330. Bibcode:1989PhRvL...
service Stochastic Simulation Algorithm Serial Storage Architecture SingularSpectrum Analysis Software Security Assurance Solid State Array, in flash data...
showed that the singularity disappeared after a change of coordinates. In 1933, Georges Lemaître realized that this meant the singularity at the Schwarzschild...
spectra include singular homology with coefficients in a ring, complex cobordism, K-theory, and Morava K-theory. Highly structured ring spectrum Adams, J. Frank...
variance of the spectral density estimate Singularspectrum analysis is a nonparametric method that uses a singular value decomposition of the covariance...
In mathematics, the spectrum of a matrix is the set of its eigenvalues. More generally, if T : V → V {\displaystyle T\colon V\to V} is a linear operator...
analysis of chaotic geophysical time series, and most prominently the singular-spectrum analysis technique (SSA). In the 2000s, he extended his studies of...
University, equivalent to a master of social work Multi-channel/-variate Singularspectrum analysis, an extension of the SSA technique This disambiguation page...
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