Estimating fractal intrinsic dimension from the neighborhood

Authors:
Qutang Cai;Changshui Zhang
Affiliations:
National Laboratory of Information Science and Technology, Department of Automation, Tsinghua University, Beijing, China;National Laboratory of Information Science and Technology, Department of Automation, Tsinghua University, Beijing, China
Venue:
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
Year:
2006

Citing 2
Cited 0

GTM: the generative topographic mapping

Neural Computation
Estimating the Intrinsic Dimension of Data with a Fractal-Based Method

IEEE Transactions on Pattern Analysis and Machine Intelligence

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper proposes a new method for fractal intrinsic dimension(ID) estimation. Local fractal features are extracted and combined to obtain the estimation. Compared with the contemporary methods for fractal ID estimation, the proposed method requires lower computation, can reach accurate results and can be flexibly extended. Both the theoretical analysis and experimental results show its validity.