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Fractal dimension (D) is widely utilized in various fields to quantify the complexity of signals and other features. However, the fractal nature is limited to a certain scope of concerned scales, i.e., scaling region, even for a theoretically fractal ...
Feng Feng +5 more
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Vector-Valued Nonuniform Multiresolution Associated with Linear Canonical Transform [PDF]
A multiresolution analysis associated with linear canonical transform was defined by Shah and Waseem for which the translation set is a discrete set which is not a group.
Dar Aamir H.
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Sampled-Data Consensus for Networked Euler-Lagrange Systems With Differentiable Scaling Functions
This paper is concerned with the sampled-data consensus of networked Euler-Lagrange systems. The Euler-Lagrange system has enormous advantages in analyzing and designing dynamical systems.
Yilin Wang +3 more
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Numerical Methods for Solving Linear Time Varying Quadratic Optimal Control Problems
In this article, we discussed linear time varying optimal control problems with quadratic performance index, and approximated control variable, state variable and performance index. There are many different numerical processes for approximating of linear
Adane Akate Ayalew
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Unitary extension principle on zero-dimensional locally compact groups [PDF]
In this article, we obtain methods for constructing step tight frames on an arbitrary locally compact zero-dimensional group. To do this, we use the principle of unitary extension.
Lukomskii, Sergei Feodorovich +1 more
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Preserving neural function under extreme scaling. [PDF]
Important brain functions need to be conserved throughout organisms of extremely varying sizes. Here we study the scaling properties of an essential component of computation in the brain: the single neuron. We compare morphology and signal propagation of
Hermann Cuntz +5 more
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Information filtering via a scaling-based function. [PDF]
Finding a universal description of the algorithm optimization is one of the key challenges in personalized recommendation. In this article, for the first time, we introduce a scaling-based algorithm (SCL) independent of recommendation list length based ...
Tian Qiu, Zi-Ke Zhang, Guang Chen
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Non-Separable Meyer-like Wavelet Frames
In the theory of wavelet frames, the known Daubechies wavelet bases have been generalized to compactly supported (Daubechies-like) wavelet frames, while the known bandlimited Meyer wavelet bases have not been generalized to date.
Zhihua Zhang
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Construction of Meyer Wavelet Using Fully Smooth Sigmiod Function
In order to obtain better smooth effect in signal or image reconstruction, the regularity or continuous differentiability of wavelet must be increased as much as possible.
SHAO Yun-hong, DENG Cai-xia, HE Peng
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Scaling laws in natural conversations among elderly people.
Language is a result of brain function; thus, impairment in cognitive function can result in language disorders. Understanding the aging of brain functions in terms of language processing is crucial for modern aging societies. Previous studies have shown
Masato S Abe, Mihoko Otake-Matsuura
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