A resampling approach to estimate the stability of one-dimensional or multidimensional independent components

IEEE Transactions on Biomedical Engineering

Volumn 49, Issue 12 I, 2002, Pages 1514-1525

  Meinecke, Frank ^a,b   Ziehe, Andreas ^b   Kawanabe, Motoaki ^b   Müller, Klaus Robert ^a,b  

^a UNIVERSITY OF POTSDAM   (Germany)

^b FRAUNHOFER FIRST   (Germany)

Author keywords

Blind source separation; Bootstrap; Electrocardiography (ECG); Independent component analysis; Magnetoencephalography (MEG); Multidimensional independent component analysis (ICA); Reliability; Resampling; Stability; Unsupervised learning

Indexed keywords

BLIND SOURCE SEPARATION; DATA REDUCTION; DATA STRUCTURES; ELECTROCARDIOGRAPHY;

INDEPENDENT COMPONENTS;

BIOMEDICAL ENGINEERING;

ANALYTIC METHOD; ARTICLE; BIOMEDICINE; ELECTROCARDIOGRAPHY; LEARNING; MAGNETOENCEPHALOGRAPHY; MODEL; PERFORMANCE; PHYSICAL PARAMETERS; RELIABILITY;

ALGORITHMS; ARTIFACTS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; ELECTROCARDIOGRAPHY; EVOKED POTENTIALS, AUDITORY; FEEDBACK; FEMALE; FETAL MONITORING; HEART RATE, FETAL; HUMANS; MAGNETOENCEPHALOGRAPHY; MODELS, BIOLOGICAL; MODELS, STATISTICAL; PREGNANCY; PRINCIPAL COMPONENT ANALYSIS; QUALITY CONTROL; REPRODUCIBILITY OF RESULTS; SAMPLE SIZE; SENSITIVITY AND SPECIFICITY;

EID: 0036928393     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/TBME.2002.805480     Document Type: Article

References (48)

1. F. Meinecke, A. Ziehe, M. Kawanabe, and K.-R. Müller, "Assessing reliability of ICA projections - A resampling approach," presented at the 3rd Int. Conf. Independent Component Analysis Signal Separation, T.-W. Lee, Ed., San Diego, CA, 2001, pp. 74-79.
2. -, "Estimating the reliability of ICA projections," in Advances in Neural Information Processing Systems 14, S. Becker, T. G. Dietterich, and Z. Ghahramani, Eds. Cambridge, MA: MIT Press, 2002.
3. B. Efron and R. J. Tibshirani, An Introduction to the Bootstrap, 1st Ed. London, U.K.: Chapman and Hall, 1993.
4. J. Shao and D. Tu, The Jackknife and Bootstrap. New York: Springer-Verlag, 1995.
5. A. Hyvarinen, J. Karhunen, and E. Oja, Independent Component Analysis. New York: Wiley, 2001.
6. B. Schölkopf, A. Smola, and K.-R. Müller, "Nonlinear component analysis as a kernel eigenvalue problem," Neural Computation, vol. 10, pp. 1299-1319, 1998.
7. R. O. Duda, P. E. Hart, and D. G. Stork, Pattern Classification, 2nd Ed. New York: Wiley, 2001.
8. Ch. Jutten and J. Herault, "Blind separation of sources, part I: An adaptive algorithm based on neuromimetic architecture," Signal Processing, vol. 24, pp. 1-10, 1991.
9. P. Comon, "Independent component analysis, a new concept?," Signal Processing, vol. 36, no. 3, pp. 287-314, 1994.
10. G. Deco and D. Obradovic, An Information-Theoretic Approach to Neural Computing. New York: Springer-Verlag, 1996.
11. S. Amari, A. Cichocki, and H. H. Yang, "A new learning algorithm for blind signal separation," in Advances in Neural Information Processing Systems (NIPS 95), D. S. Touretzky, M. C. Mozer, and M. E. Hasselmo, Eds. Cambridge, MA: MIT Press, 1996, vol. 8, pp. 882-893.
12. A. J. Bell and T. J. Sejnowski, "An information maximization approach to blind separation and blind deconvolution," Neural Comput., vol. 7, pp. 1129-1159, 1995.
13. J.-F. Cardoso and A. Souloumiac, "Blind beamforming for non Gaussian signals," Proc. IEEE, vol. 140, pp. 362-370, June 1993.
14. A. Ziehe and K.-R. Müller, "TDSEP - An efficient algorithm for blind separation using time structure," in Proc. Int. Conf. Artificial Neural Networks, L. Niklasson, M. Bodén, and T. Ziemke, Eds., Skövde, Sweden, 1998, pp. 675-680.
15. S. Roberts and R. Everson, Eds., Independent Component Analysis: Principles and Practice. Cambridge, U.K.: Cambridge Univ. Press, 2001.
16. L. Parra and C. Spence, "Convolutive blind source separation of non-stationary sources," IEEE Trans. Speech Audio Processing, vol. 8, pp. 320-327, May 2000.
17. T.-W. Lee, A. Ziehe, R. Orglmeister, and T. J. Sejnowski, "Combining time-delayed decorrelation and ICA: Toward solving the cocktail party problem," in Proc. ICASSP'98, vol. 2, Seattle, WA, 1998, pp. 1249-1252.
18. N. Murata, S. Ikeda, and A. Ziehe, "An approach to blind source separation based on temporal structure of speech signals," Neurocomput., vol. 41, no. 14, pp. 1-24, 2001.
19. L. Parra,C. D. Spence, P. Sajda, A. Ziehe. and K.-R. Müller, "Unmixing hyperspectral data," in Advances in Neural Information Processing Systems 12, S. A. Solla, T. K. Leen, and K.-R. Müller, Eds. Cambridge, MA: MIT Press, 2000, pp. 942-948.
20. S. Makeig, T.-P. Jung, D. Ghahremani, A. J. Bell, and T. J. Sejnowski, "Blind separation of event-related brain responses into independent components," in Proc. National Academy Science, vol. 94, 1997, pp. 10979-10984.
21. R. Vigário, V. Jousmäki, M. Hämäläinen, R. Hari. and E. Oja, "Independent component analysis for identification of artifacts in magnetoencephalographic recordings," in Advances in Neural Information Processing Systems, M. I. Jordan, M. J. Kearns, and S. A. Solla, Eds. Cambridge, MA: MIT Press, 1998, vol. 10, pp. 229-235.
22. A. Ziehe, K.-R. Müller, G. Nolte, B.-M. Mackert, and G. Curio, "Artifact reduction in magnetoneurography based on time-delayed second order correlations," IEEE Trans. Biomed. Eng., vol. 47, pp. 75-87, Jan. 2000.
23. J. F. Cardoso, "Multidimensional independent component analysis," presented at the ICASSP'98, Seattle, WA, 1998.
24. E. Oja, Subspace Methods of Pattern Recognition. Hertfordshire, U.K.: Research Studies Press, 1983.
25. G. H. Golub and C. F. van Loan, Matrix Computation. Baltimore, MD: Johns Hopkins Univ. Press, 1989.
26. C. G. J. Jacobi, "Über ein leichtes Verfahren, die in der Theorie der Säcularstörungen vorkommenden Gleichungen numerisch aufzulösen," Crelle J. Reine Angew. Mathematik, vol. 30, pp. 51-94, 1846.
27. J.-F. Cardoso and A. Souloumiac, "Jacobi angles for simultaneous diagonalization," SIAM J. Mater. Anal. Applicat., vol. 17, no. 1, p. 161 ff., 1996.
28. Y. Weiss, "Segmentation using eigenvectors: A unifying view," in Proc. IEEE Int. Conf. Computer Vision (2). 1999, pp. 975-982.
29. M. Meila and J. Shi, "Learning segmentation by random walks," in Advances in Neural Information Processing Systems, T. K. Leen, T. G. Dietterich, and V. Tresp, Eds. Cambridge, MA: MIT Press, 2001, vol. 13.
30. C. J. Alpert, A. B. Kahng, and S. Z. Yao, "Spectral partitioning with multiple eigenvectors," Discrete Appl. Math., vol. 90, pp. 3-26, 1999.
31. S. Makeig, S. Enghoff, T.-P. Jung, and T. Sejnowski, "Moving-window ICA decomposition of EEG data reveals event-related changes in oscillatory brain activity," in Proc. 2nd Int. Workshop Independent Component Analysis Blind Source Separation, Helsinki, Finland, 2000, pp. 627-632.
32. (1997) Daisy: Database for the Identification of Systems [Online] http://www.esat.kuleuven.ac.be/sista/daisy
33. L. D. Lathauwer, B. D. Moor, and J. Vandewalle, "Fetal electrocardiogram extraction by source subspace separation," in Proc. IEEE SP Athos Workshop Higher Order Statistics, Aiguabla, Spain, 1995, pp. 138-138.
34. A. Ziehe, G. Nolte, T. Sander, K.-R. Müller, and G. Curio, "A comparison of ICA-based artifact reduction methods for MEG," in Proc. 12th Int. Conf. Biomagnetism, J. Nenonen, Ed. Espoo, Finland: Helsinki Univ. Technol., 2001, pp. 895-898.
35. G. Nolte and G. Curio, "The effect of artifact rejection by signal-space projection on source localization accuracy in MEG measurements." IEEE Trans. Biomed. Eng., vol. 46, pp. 400-408, Apr. 1999.
36. O. Ganslandt, D. Ulbricht, H. Kober, J. Vieth, C. Strauss, and R. Fahlbusch, "SEF-MEG localization of somatosensory cortex as a method for presurgical assessment of functional brain area," Electroencephalogr. Clin. Neurophysiol. Suppl., vol. 46, pp. 209-213, 1996.
37. M. A. Uusitalo and R. J. Ilmoniemi, "The signal-space projection (SSP) method for separating MEG or EEG into components," Med. Biol. Eng. Comput., vol. 35, pp. 135-140. 1997.
38. A. Hyvärinen, J. Särelä, and R. Vigário, "Spikes and bumps: Artefacts generated by independent component analysis with insufficient sample size," in Proc. Int. Workshop Independent Component Analysis Blind Source Separation (ICA'99), Aussois, France, Jan. 11-15, 1999, pp. 425-429.
39. G. Wübbeler, B.-M. Mackert, F. Armbrust, M. Burghoff. P. Marx, G. Curio, and L. Trahms, "Measuring para-dc biomagnetic fields of the head using a horizontal modulated patient cot" (in German), Biomed. Tech. (Berl.), vol. 43, pp. 232-233, 1999.
40. B.-M. Mackert, J. Mackert, G. Wübbeler, F. Armbrust, K.-D. Wolff, M. Burghoff, L. Trahms, and G. Curio, "Magnetometry of injury currents from human nerve and muscle specimens using superconducting quantum interferences devices," Neurosci. Lett., vol. 262, no. 3, pp. 163-166, Mar. 1999.
41. G. Curio, S. M. Erné, M. Burghoff, K.-D. Wolff, and A. Pilz, "Non-invasive neuromagnetic monitoring of nerve and muscle injury currents," Electroencephalography Clinical Neurophys., vol. 89, no. 3, pp. 154-160, 1993.
42. G. Wübbeler, A. Ziehe, B.-M. Mackert, K-R. Müller, L. Trahms, and G. Curio, "Independent component analysis of noninvasively recorded cortical magnetic dc-fields in humans," IEEE Trans. Biomed. Eng., vol. 47, pp. 594-599, May 2000.
43. B.-M. Mackert, G. Wübbeler, P. Marx, L. Trahms, and G. Curio, "Non-invasive long-term recordings of cortical 'direct current' (dc-) activity in humans using magnetoencephalography," Neurosci. Lett., vol. 273, no. 3, pp. 159-162, Oct. 1999.
44. A. Hyvärinen and E. Oja, "A fast fixed-point algorithm for independent component analysis," Neural Comput., vol. 9, no. 7, pp. 1483-1492, 1997.
45. V. Roth, T. Lange, M. Braun, and J. Buhmann, A Resampling Based Approach to Cluster Validation, to be published.
46. H. Attias, "Independent factor analysis," Neural Comput., vol. 11, no. 4, pp, 803-851, 1999.
47. H. Valpola, "Bayesian ensemble learning for nonlinear factor analysis," in Acta Polytechnica Scandinavica, Mathematics and Computing Series. Espoo, Finland: Finnish Acad. Technol., 2000, vol. 108.
48. N. Murata, S. Ikeda, and A. Ziehe, "An approach to blind source separation based on temporal structure of speech signals," BSIS, Tech. Rep. 98-2.