(Enter summary)
Abstract: Observations from real-world problems are often highdimensional
vectors, i.e. made up of many variables. Learning
methods, including artificial neural networks, often have difficulties to
handle a relatively small number of high-dimensional data. In this
paper, we show how concepts gained from our intuition on 2- and 3dimensional
data can be misleading when used in high-dimensional
settings. When then show how the "curse of dimensionality" and the
"empty space phenomenon" can be taken... (Update)
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BibTeX entry: (Update)
Verleysen, M.: Learning high-dimensional data. Acc. for public. in Ablameyko, S., Goras, L., Gori, M., Piuri, V. (eds): Limitations and future trends in neural computation, IOS Press. http://citeseer.ist.psu.edu/554216.html More
@misc{ verleysen-learning,
author = "M. Verleysen",
title = "Learning high-dimensional data",
text = "Verleysen, M.: Learning high-dimensional data. Acc. for public. in Ablameyko,
S., Goras, L., Gori, M., Piuri, V. (eds): Limitations and future trends
in neural computation, IOS Press.",
url = "citeseer.ist.psu.edu/554216.html" }
Citations (may not include all citations):
512
Density estimation for statistics and data analysis (context) - Silverman - 1986
214
Universal Approximation Bounds for Superpositions of a Sigmo.. (context) - Barron - 1993
147
Springer Series in Information Sciences (context) - Kohonen, Maps - 1995
97
Measuring the strangeness of strange attractors (context) - Grassberger, Procaccia - 1983
78
Cognitive Neuroscience (context) - Turk, Pentland et al. - 1991
70
The analysis of proximities: Multidimensional scaling with a.. (context) - Shepard - 1962
33
Curvilinear Component Analysis: a self-organizing neural net..
- Demartines, Hrault - 1997
26
Neural networks in financial engineering: a study in methodo.. (context) - Refenes, Burgess et al. - 1997
13
Parametric representation of nonlinear data structures (context) - Shepard, Carroll - 1965
12
A nonlinear mapping algorithm for data structure analysis (context) - Sammon - 1969
7
Probability density estimation in higher dimensions (context) - Scott, Thompson - 1983
6
A robust nonlinear projection method
- Lee, Lendasse et al. - 2000
4
Analyse de donnes par rseaux de neurones auto-organiss (context) - Demartines - 1994
3
Estimation of performance bounds in supervised classificatio..
- Comon, Voz et al. - 1994
3
Nonlinear model identification and statistical significance .. (context) - Burgess - 1995
2
Adaptive Control Processes: A Guided Tour (context) - Bellmann - 1961
2
Unsupervised classification of high dimensional data by mean..
- Choppin - 1998
1
an Mathematical Society "Math Challenges of the 21st Century (context) - Donoho, Analysis et al. - 2000
1
Input data reduction for the prediction of financial time se..
- Lendasse, Lee et al. - 2001
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