SCOPUS 정보 검색 플랫폼

Neural Processing Letters

Volumn 14, Issue 1, 2001, Pages 27-34

Intrinsic dimension estimation of data: An approach based on Grassberger-Procaccia's algorithm

(2) Camastra, Francesco a,c Vinciarelli, Alessandro b

a Elsag Datamat (Italy)

b IDIAP RESEARCH INSTITUTE (Switzerland)

c UNIVERSITY OF GENOA (Italy)

Author keywords

Correlation dimension; Dimensionality estimation conjecture; Grassberger Procaccia's algorithm; Intrinsic dimension estimation; Multi Layer perception; Topology representing network

Indexed keywords

ALGORITHMS; CORRELATION METHODS; ESTIMATION; PRINCIPAL COMPONENT ANALYSIS; TOPOLOGY;

DIMENSIONALITY ESTIMATION CONJECTURE; GRASSBERGER-PROCACCIA ALGORITHM; INTRINSIC DIMENSION ESTIMATION; TOPOLOGY REPRESENTING NETWORK;

MULTILAYER NEURAL NETWORKS;

EID: 0035425712 PISSN: 13704621 EISSN: None Source Type: Journal
DOI: 10.1023/A:1011326007550 Document Type: Article

Times cited : (38)

References (23)

1
- 0003487601
- Cambridge University Press
- (1995) Neural Networks for Pattern Recognition
- Bishop, C.¹

2
- 0032070312
- Intrinsic dimensionality estimation with optimally topology preserving maps
- (1998) IEEE Trans. on Patt. Anal. and Mach. Intell. (PAMI) , vol.20 , Issue.5 , pp. 572-575
- Bruske, J.¹ Sommer, G.²

3
- 0004459287
- Isolated cursive character recognition based on neural nets
- special issue on handwriting, R. Rojas (ed.)
- (1999) Kuenstliche Intelligenz , vol.2 , pp. 17-19
- Camastra, F.¹ Vinciarelli, A.²

4
- 0003316180
- Sphere packings, lattices and groups
- Springer-Verlag, New York
- (1988) Grundlehren der Mathematischen Wissenschaften 290
- Conway, J.H.¹ Sloane, N.J.A.²

5
- 35949018382
- Ergodic theory of chaos and strange attractors
- (1985) Rev. Mod. Phys. , vol.57 , pp. 617-659
- Eckmann, J.P.¹ Ruelle, D.²

6
- 44049117207
- Fundamental limitations for estimating dimensions and Lyapounov exponents in dynamical systems
- (1992) Physica , vol.56 D , pp. 185-187
- Eckmann, J.P.¹ Ruelle, D.²

7
- 0016102310
- A projection pursuit algorithm for exploratory data analysis
- (1974) IEEE Trans on Computer , vol.23 , pp. 881-889
- Friedman, J.K.¹ Tukey, J.W.²

8
- 0004519053
- Application of topological-representing networks to the estimation of the intrinsic dimensionality of data
- Proceedings of ICANN'95, October 9-13, Paris, France, 1995
- Frisone, F.¹ Firenze, F.² Morasso, P.³ Ricciardiello, L.⁴

9
- 0004494388
- Intrinsic dimensionality extraction
- In: P. R. Krishnaiah and L. N. Kanal (eds.), Classification, Pattern Recognition and Reduction of Dimensionality; Amsterdam, North Holland
- (1982) Handbook of Statistics , vol.2 , pp. 347-360
- Fukunaga, K.¹

10
- 40749093037
- Measuring the strangeness of strange attractors
- (1983) Physica , vol.9 D , pp. 189-208
- Grassberger, P.¹ Procaccia, I.²

11
- 0028428774
- A database for handwritten text recognition research
- (1994) IEEE Trans. on Pattern Analysis and Machine Intelligence , vol.16 , Issue.5 , pp. 550-554
- Hull, J.J.¹

12
- 0001974770
- Statistical aspects of chaos: A review
- In: O. E. Barndorff-Nielsen, J. L. Jensen and W. S. Kendall (Eds.); Chapman Hall, London
- (1993) Networks and Chaos-Statistical and Probabilistic Aspects , pp. 124-200
- Isham, V.¹

13
- 0028272776
- Representations and separation of signals using nonlinear PCA type learning
- (1994) Neural Networks , vol.7 , Issue.1 , pp. 113-127
- Karhunen, J.¹ Joutsensalo, J.²

14
- 0004485784
- Limitations of nonlinear PCA as performed with generic neural networks
- Proceedings of NIPS'97 Workshop on Advances in Autoencoders/Autoassociators Based Computations, December 5, 1997
- Malthouse, E.C.¹

15
- 0003666299
- Freeman, San Francisco
- (1977) Fractals: Form, Chance and Dimension
- Mandelbrot, B.¹

16
- 0028204732
- Topology representing networks
- (1994) Neural Networks , vol.3 , pp. 507-522
- Martinetz, T.¹ Schulten, K.²

17
- 0003582543
- Cambridge University Press
- (1993) Chaos in Dynamical Systems
- Ott, E.¹

18
- 0000120766
- Estimating the dimension of a model
- (1978) Ann. Stat. , vol.6 , pp. 497-511
- Schwartz, G.¹

19
- 0000201862
- Intrinsic limits on dimension calculations
- (1988) Phys. Lett. , vol.133 A , pp. 283-288
- Smith, L.A.¹

20
- 0001226331
- Optimal estimation of fractal dimension
- In: M. Casdagli and S. Eubank (eds.); Addison-Wesley
- (1992) Nonlinear Modeling and Forecasting, SFI Studies in the Science of Complexity , vol.12 , pp. 115-135
- Smith, R.L.¹

21
- 0002405786
- On the numerical determination of the dimension of an attractor
- In: B. Braaksma, H. Broer and F. Takens (eds.), Dynamical Systems and Bifurcations, Proceedings Groningen 1984; Springer-Verlag, Berlin
- (1985) Lecture Notes in Mathematics , Issue.1125 , pp. 99-106
- Takens, F.¹

22
- 0000419983
- Lacunarity in a best estimator of fractal dimension
- (1988) Phys. Lett. , vol.133 A , pp. 195-200
- Theiler, J.¹

23
- 0000478578
- Statistical precision of dimension estimators
- (1990) Phys. Rev. , vol.41 A , pp. 3038-3051
- Theiler, J.¹

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