Journal ArticleDOI
Orthogonal transforms for digital signal processing
G.R. Redinbo
- Vol. 66, Iss: 1, pp 107-107
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The article was published on 1978-01-01. It has received 31 citations till now. The article focuses on the topics: Discrete cosine transform & Discrete sine transform.read more
Citations
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Journal ArticleDOI
Auto-association by multilayer perceptrons and singular value decomposition
Hervé Bourlard,Y. Kamp +1 more
TL;DR: It is shown that, for auto-association, the nonlinearities of the hidden units are useless and that the optimal parameter values can be derived directly by purely linear techniques relying on singular value decomposition and low rank matrix approximation, similar in spirit to the well-known Karhunen-Loève transform.
Journal ArticleDOI
Eigenvectors and functions of the discrete Fourier transform
TL;DR: A method is presented for computing an orthonormal set of eigenvectors for the discrete Fourier transform (DFT) based on a detailed analysis of the eigenstructure of a special matrix which commutes with the DFT.
Journal ArticleDOI
Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps.
TL;DR: Nonlinear independent component analysis is combined with diffusion-map data analysis techniques to detect good observables in high-dimensional dynamic data using eigenvectors of a Markov matrix describing anisotropic diffusion in stochastic chemical reaction network simulations.
Journal ArticleDOI
The system-resonance approach in modeling genetic structures.
TL;DR: A new approach for modeling genetically inherited structures and processes in living organisms using mathematical tools of the theory of resonances is devoted, which reveals hidden relationships in a number of genetic phenomena and gives rise to a new class of bio-mathematical models, which contribute to a convergence of biology with physics and informatics.
References
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Journal ArticleDOI
Auto-association by multilayer perceptrons and singular value decomposition
Hervé Bourlard,Y. Kamp +1 more
TL;DR: It is shown that, for auto-association, the nonlinearities of the hidden units are useless and that the optimal parameter values can be derived directly by purely linear techniques relying on singular value decomposition and low rank matrix approximation, similar in spirit to the well-known Karhunen-Loève transform.
Journal ArticleDOI
Eigenvectors and functions of the discrete Fourier transform
TL;DR: A method is presented for computing an orthonormal set of eigenvectors for the discrete Fourier transform (DFT) based on a detailed analysis of the eigenstructure of a special matrix which commutes with the DFT.
Low-dimensional procedure for the characterization of human face.
TL;DR: A method is presented for the representation of faces that results in the characterization of a face, to within an error bound, by a relatively low-dimensional vector.
Journal ArticleDOI
Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps.
TL;DR: Nonlinear independent component analysis is combined with diffusion-map data analysis techniques to detect good observables in high-dimensional dynamic data using eigenvectors of a Markov matrix describing anisotropic diffusion in stochastic chemical reaction network simulations.