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Learning Inverse Kinematics via Cross-Point Function Decomposition

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Artificial Neural Networks — ICANN 2002 (ICANN 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2415))

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Abstract

The main drawback of using neural networks to approximate the inverse kinematics (IK) of robot arms is the high number of training samples (i.e., robot movements) required to attain an acceptable precision. We propose here a trick, valid for most industrial robots, that greatly reduces the number of movements needed to learn or relearn the IK to a given accuracy. This trick consists in expressing the IK as a composition of learnable functions, each having half the dimensionality of the original mapping. A training scheme to learn these component functions is also proposed. Experimental results obtained by using PSOMs, with and without the decomposition, show that the time savings granted by the proposed scheme grow polynomically with the precision required.

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References

  1. Fu K.S., González R.C. and Lee C.S.G., 1987: Robotics: Control, Sensing, Vision, and Intelligence, New York: McGraw-Hill.

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  2. Kröse B.J.A. and van der Smagt P.P., 1993: An Introduction to Neural Networks (5th edition), Chapter 7: “Robot Control”. University of Amsterdam.

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  3. Martinetz T.M., Ritter H.J. and Schulten K.J, 1990: Three-dimensional neural net for learning visuomotor coordination of a robot arm. IEEE Trans. on Neural Networks, 1(1): 131–136.

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  4. Ritter H., Martinetz T. and Schulten K.J., 1992: Neural Computation and Self-Organizing Maps. New York: Addison Wesley.

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  5. Ruiz de Angulo V. and Torras C., 1997: Self-calibration of a space robot. IEEE Trans. on Neural Networks, 8(4): 951–963.

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  6. Walter J.A. and Schulten K.J., 1993: Implementation of self-organizing neural networks for visuo-motor control of an industrial arm. IEEE Trans. on Neural Networks, 4(1).

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  7. Walter J. and Ritter H., 1996: Rapid learning with parametrized self-organizing maps. Neurocomputing, 12: 131–153.

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© 2002 Springer-Verlag Berlin Heidelberg

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Ruiz de Angulo, V., Torras, C. (2002). Learning Inverse Kinematics via Cross-Point Function Decomposition. In: Dorronsoro, J.R. (eds) Artificial Neural Networks — ICANN 2002. ICANN 2002. Lecture Notes in Computer Science, vol 2415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46084-5_139

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  • DOI: https://doi.org/10.1007/3-540-46084-5_139

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44074-1

  • Online ISBN: 978-3-540-46084-8

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