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Unsupervised Learning of a Kinematic Arm Model

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Artificial Neural Networks and Neural Information Processing — ICANN/ICONIP 2003 (ICANN 2003, ICONIP 2003)

Abstract

An abstract recurrent neural network trained by an unsupervised method is applied to the kinematic control of a robot arm. The network is a novel extension of the Neural Gas vector quantization method to local principal component analysis. It represents the manifold of the training data by a collection of local linear models. In the kinematic control task, the network learns the relationship between the 6 joint angles of a simulated robot arm, the corresponding 3 end-effector coordinates, and an additional collision variable. After training, the learned approximation of the 10-dimensional manifold of the training data can be used to compute both the forward and inverse kinematics of the arm. The inverse kinematic relationship can be recalled even though it is not a function, but a one-to-many mapping.

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References

  1. Hinton, G. E., Dayan, P., Revow, M.: Modeling the Manifolds of Images of Handwritten Digits. IEEE Transactions on Neural Networks 8 (1997) 65–74

    Article  Google Scholar 

  2. Hopfield, J. J.: Neural Networks and Physical Systems with Emergent Collective Computational Abilities. Proceedings of the National Academy of Sciences, USA 79 (1982) 2554–2558

    Article  MathSciNet  Google Scholar 

  3. Jordan, M. I., Rumelhart, D. E.: Forward Models: Supervised Learning with a Distal Teacher. Cognitive Science 16 (1992) 307–354

    Article  Google Scholar 

  4. Martinetz, T. M., Berkovich, S. G., Schulten, K. J.: “Neural-Gas” Network for Vector Quantization and its Application to Time-Series Prediction. IEEE Transactions on Neural Networks 4 (1993) 558–569

    Article  Google Scholar 

  5. Möller, R.: Interlocking of Learning and Orthonormalization in RRLSA. Neurocomputing 49 (2002) 429–433

    Article  MATH  Google Scholar 

  6. Ouyang, S., Bao, Z., Liao, G.-S.: Robust Recursive Least Squares Learning Algorithm for Principal Component Analysis. IEEE Transactions on Neural Networks 11 (2000) 215–221

    Article  Google Scholar 

  7. Riedmiller, M., Braun, H.: A Direct Adaptive Method for Faster Backpropagation Learning: The RPROP Algorithm. Proceedings of the IEEE International Conference on Neural Networks (1993) 586–591

    Google Scholar 

  8. Rubner, J., Tavan, P.: A Self-Organizing Network for Principal-Component Analysis. Europhys. Lett. 10 (1989) 693–698

    Article  Google Scholar 

  9. Sanger, T. D.: Optimal Unsupervised Learning in a Single-Layer Linear Feedforward Neural Network. Neural Networks 2 (1989) 459–473

    Article  Google Scholar 

  10. Steinkühler, U., Cruse, H.: A Holistic Model for an Internal Representation to Control the Movement of a Manipulator with Redundant Degrees of Freedom. Biological Cybernetics 79 (1998) 457–466

    Article  Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Hoffmann, H., Möller, R. (2003). Unsupervised Learning of a Kinematic Arm Model. In: Kaynak, O., Alpaydin, E., Oja, E., Xu, L. (eds) Artificial Neural Networks and Neural Information Processing — ICANN/ICONIP 2003. ICANN ICONIP 2003 2003. Lecture Notes in Computer Science, vol 2714. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44989-2_55

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  • DOI: https://doi.org/10.1007/3-540-44989-2_55

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40408-8

  • Online ISBN: 978-3-540-44989-8

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