The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Singular-value decomposition and the Grassberger-Procaccia algorithm
Abstract
A singular-value decomposition leads to a set of statistically independent variables which are used in the Grassberger-Procaccia algorithm to calculate the correlation dimension of an attractor from a scalar time series. This combination alleviates some of the difficulties associated with each technique when used alone, and can significantly reduce the computational cost of estimating correlation dimensions from a time series.
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Citations
Cites
Golub, G. (2012) · doi:10.56021/9781421407944 · Cited by 34,505
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
Singular value decomposition and least squares solutions
Golub, G. H., & Reinsch, C. (1970) · Numerische Mathematik · doi:10.1007/bf02163027 · Cited by 2,929
Cited by
Sauer, T., Yorke, J. A., & Casdagli, M. (1991) · Journal of Statistical Physics · doi:10.1007/bf01053745 · Cited by 2,045
Schiff, S. J., So, P., Chang, T., Burke, R. E., & Sauer, T. (1996) · Physical Review E · doi:10.1103/physreve.54.6708 · Cited by 422
Determination of the noise level of chaotic time series
Schreiber, T. (1993) · Physical Review E · doi:10.1103/physreve.48.r13 · Cited by 311
Noise reduction in chaotic time-series data: A survey of common methods
Kostelich, E. J., & Schreiber, T. (1993) · Physical Review E · doi:10.1103/physreve.48.1752 · Cited by 290
DISCRETE- vs. CONTINUOUS-TIME NONLINEAR SIGNAL PROCESSING OF Cu ELECTRODISSOLUTION DATA
RICO-MARTÍNEZ, R., KRISCHER, K., KEVREKIDIS, I. G., KUBE, M. C., & HUDSON, J. L. (1992) · Chemical Engineering Communications · doi:10.1080/00986449208936084 · Cited by 144
Metadata
- Authors
- Albano, A. M., Muench, J., Schwartz, C., Mees, A. I., & Rapp, P. E.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1988-09-01
- Volume
- 38
- Issue
- 6
- Pages
- 3017-3026
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2033410765
- Cited by
- 460
- References
- 3
- FWCI
- 17.72
- Type
- journal article
- Language
- en
- Open access
- closed
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- The paper
- Albano, A. M., Muench, J., Schwartz, C., Mees, A. I., & Rapp, P. E. (1988). Singular-value decomposition and the Grassberger-Procaccia algorithm. Physical Review A. https://doi.org/10.1103/physreva.38.3017
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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