Principal Curve Papers
- J. D. Banfield and
A. E. Raftery
"Ice floe identification in satellite images using mathematical morphology
and clustering about principal curves"
Journal of the American Statistical Association
vol. 87, no. 417, pp. 7-16, 1992.
- K. Chang and
J. Ghosh
"A unified model for probabilistic principal surfaces"
IEEE Transactions on Pattern Analysis and Machine Intelligence,
2001, vol. 23, no. 1, pp. 22-41,
gzipped PostScript.
- K. Chang and
J. Ghosh
"Three-dimensional model-based object recognition and pose estimation using probabilistic principal surfaces"
SPIE Applications of Artificial Neural Networks in Image Processing V
2000, vol. 3962, pp. 192-203,
gzipped PostScript.
- K. Chang and
J. Ghosh
"Probabilistic principal surfaces"
IEEE International Joint Conference on Neural Networks
1999,
gzipped PostScript.
- K. Chang and
J. Ghosh
"Principal curves for nonlinear feature extraction and classification"
SPIE Applications of Artificial Neural Networks in Image Processing III
1998, vol. 3307, pp. 120--129
gzipped PostScript.
- K. Chang and
J. Ghosh
"Principal curve classifier - a nonlinear approach to pattern classification"
IEEE International Joint Conference on Neural Networks
1998, pp. 695-700,
gzipped PostScript.
- G. De'ath
"Principal curves: a new technique for indirect and direct gradient analysis"
Ecology
1999, vol. 80, no. 7, pp. 2237-2253.
- P. Delicado
"Another look at principal curves and surfaces"
Journal of Multivariate Analysis
2001, vol. 77, no. 1, pp. 84-116, pdf.
- R.Der,
G. Balzuweit, and
M. Herrmann
"Constructing principal manifolds in sparse data sets by self-organizing maps with self-regulating
neighborhood width"
International Conference on Neural Networks
1996, pp. 480-483.
- R.Der,
U. Steinmetz,
G. Balzuweit, and
G. Schüürmann
"Nonlinear principal component analysis"
technical report at the
Institut für Informatik,
Universität Leipzig
1998,
PostScript (1.91M),
gzipped PostScript (533K).
- D. Dong and
T. J. McAvoy
"Nonlinear principal component analysis - based on principal curves and neural networks"
Computers Chem. Engineering
1995, vol. 20, no. 1, pp. 65-78.
- T. Duchamp and
W. Stuetzle
"Extremal properties of principal curves in the plane"
Annals of Statistics
1996, vol. 24, no. 4, pp. 1511-1520,
pdf.
- T. Duchamp and
W. Stuetzle
"Geometric properties of principal curves in the plane"
Robust statistics, data analysis, and computer intensive methods:
in honor of Peter Huber's 60th birthday
1996, vol. 109 of Lecture notes in statistics, pp. 135-152,
pdf.
- J. Einbeck,
G. Tutz,
and L. Evers
"Local Principal Curves"
Statistics and Computing
15 (4), 2005, to appear.
PDF,
software
- J. Einbeck,
G. Tutz,
and L. Evers
"Exploring Multivariate Data Structures with Local Principal Curves"
In: C. Weihs and W. Gaul (Eds.): Classification - The
Ubiquitous Challenge, Springer, Heidelberg
2005, pp. 256-263.
PDF
- T. Hastie
"Principal curves and surfaces"
PhD Thesis
Stanford University, 1984.
- T. Hastie
and
W. Stuetzle
"Principal curves"
Journal of the American Statistical Association
vol. 84, no. 406, pp. 502-516, 1989.
- T. Hermann,
P. Meinicke, and
H. Ritter
"Principal curve sonification"
International Conference on Auditory Display
2000, pp. 81-86,
gzipped PostScript.
- B. Kégl
"Principal curves: learning, design, and applications,"
Ph. D. Thesis,
Concordia University, Canada, 1999.
PDF,
PostScript,
gzipped PostScript
- B. Kégl and
A. Krzyzak
"Piecewise linear skeletonization using principal curves"
IEEE Transactions on Pattern Analysis and Machine Intelligence
vol. 24, no. 1, pp. 59-74, 2002.
PDF,
PostScript,
gzipped PostScript
Java implementation
- B. Kégl,
A. Krzyzak,
T. Linder,
and K. Zeger
"Learning and design of principal curves"
IEEE Transactions on Pattern Analysis and Machine Intelligence
vol. 22, no. 3, pp. 281-297, 2000.
PDF,
PostScript,
gzipped PostScript
Java implementation
- B. Kégl,
A. Krzyzak,
T. Linder,
and K. Zeger
"Principal curves: learning and convergence"
ISIT 98: IEEE International Symposium on Information Theory
Boston, MIT, August, 1998, p. 387.
PDF,
PostScript,
gzipped PostScript,
extended abstract
- B. Kégl,
A. Krzyzak,
T. Linder,
and K. Zeger
"A polygonal line algorithm for constructing principal curves"
NIPS 98: Neural Information Processing Systems
MIT Press, 1999, pp. 501-507.
PDF,
PostScript,
gzipped PostScript
Java implementation
- M. LeBlanc and
R. Tibshirani
"Adaptive principal surfaces"
Journal of the American Statistical Association
vol. 89, pp. 53-64, 1994.
- F. Mulier and
V. Cherkassky
"Self-organization as an iterative kernel smoothing process"
Neural Computation
1995, vol. 7, pp. 1165-1177.
- K. Reinhard and
M. Niranjan
"Parametric subspace modeling of speech transitions"
Speech Communication
1999, vol. 27, no. 1, pp. 19-42,
gzipped PostScript.
- K. Reinhard and
M. Niranjan
"Subspace models for speech transitions using principal curves"
Proceedings of Institute of Acoustics
1998, vol. 20, no. 6, pp. 53-60,
gzipped PostScript.
- S. Sandilya and
S. R. Kulkarni
"Principal curves with bounded turn"
IEEE International Symposium on Information Theory
2000, p. 321.
- A. J. Smola,
S. Mika, and
B. Schölkopf
"Quantization functionals and regularized principal manifolds"
NeuroCOLT2 Technical Report Series
NC2-TR-1998-028, 1998,
gzipped PostScript.
- A. J. Smola,
R. C. Williamson,
S. Mika, and
B. Schölkopf
"Generalization bounds and learning rates for regularized principal manifolds"
NeuroCOLT2 Technical Report Series
NC2-TR-1998-027, 1998,
gzipped PostScript.
- D. Stanford and
A. E. Raftery
"Principal curve clustering with noise"
IEEE Transactions on Pattern Analysis and Machine Intelligence
2001 (to appear) an earlier version in PostScript
.
- R. Tibshirani
"Principal curves revisited"
Statistics and Computation
vol. 2, pp. 183-190, 1992, PostScript
.
- J. J. Verbeek,
N. Vlassis, and
B. Kröse
"A k-segments algorithm for finding principal curves"
Pattern Recognition Letters
2000, submitted,
gzipped PostScript.
- J. J. Verbeek,
N. Vlassis, and
B. Kröse
"A soft k-segments algorithm for principal curves"
International Conference on Artificial Neural Networks
2001, submitted,
gzipped PostScript.
- D. J. H. Wilson,
G. W. Irwin, and
G. Lightbody
"RBF principal manifolds for process monitoring"
IEEE Transanctions of Neural Networks
1999, vol. 10, no. 6, pp. 1424-1434.