Skip to main content
Erschienen in: Machine Vision and Applications 6/2013

01.08.2013 | Original Paper

Mind reading with regularized multinomial logistic regression

verfasst von: Heikki Huttunen, Tapio Manninen, Jukka-Pekka Kauppi, Jussi Tohka

Erschienen in: Machine Vision and Applications | Ausgabe 6/2013

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this paper, we consider the problem of multinomial classification of magnetoencephalography (MEG) data. The proposed method participated in the MEG mind reading competition of ICANN’11 conference, where the goal was to train a classifier for predicting the movie the test person was shown. Our approach was the best among ten submissions, reaching accuracy of 68 % of correct classifications in this five category problem. The method is based on a regularized logistic regression model, whose efficient feature selection is critical for cases with more measurements than samples. Moreover, a special attention is paid to the estimation of the generalization error in order to avoid overfitting to the training data. Here, in addition to describing our competition entry in detail, we report selected additional experiments, which question the usefulness of complex feature extraction procedures and the basic frequency decomposition of MEG signal for this application.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Fußnoten
3
Note, that the challenge report [25] erroneously states the frequency features to be the envelopes of the frequency bands. However, the data consists of the plain frequency bands; see the erratum at http://​www.​cis.​hut.​fi/​icann2011/​meg/​megicann_​erratum.​pdf.
 
6
In the subsequent sections we refer to the first-day data as training data, the 25 training samples from the second day as validation data and the remaining 25 samples from the second day as test data. The 653 originally unlabeled test samples from the second day are called secret test data.
 
7
Note, that this is relevant although the stimuli were presented without audio: language processing is not limited to the processing of spoken language [33].
 
8
While short term clips from movie categories 1, 2 and 3 (see Sect. 2.1) were shown by the organizers in an intermingled fashion, the “storyline” movies (categories 4 and 5), have been presented in one continuous block, each at the end of the experiment [25]. Therefore, the acquired signals in categories 1, 2, and 3 might be different to the signals in categories 4 and 5 purely for ‘chronological’ reasons, e.g., decreasing vigilance.
 
9
The term filter (see Guyon and Elisseeff [11]) here refers to the application of a feature selection method that is independent of the classifier.
 
Literatur
1.
Zurück zum Zitat Anderson, J., Blair, V.: Penalized maximum likelihood estimation in logistic regression and discrimination. Biometrika 69, 123–136 (1982)MathSciNetCrossRefMATH Anderson, J., Blair, V.: Penalized maximum likelihood estimation in logistic regression and discrimination. Biometrika 69, 123–136 (1982)MathSciNetCrossRefMATH
2.
Zurück zum Zitat Besserve, M., Jerbi, K., Laurent, F., Baillet, S., Martinerie, J., Garnero, L.: Classification methods for ongoing EEG and MEG signals. Biol. Res. 40(4), 415–437 (2007) Besserve, M., Jerbi, K., Laurent, F., Baillet, S., Martinerie, J., Garnero, L.: Classification methods for ongoing EEG and MEG signals. Biol. Res. 40(4), 415–437 (2007)
3.
Zurück zum Zitat Blankertz, B., Müller, K.R., Krusienski, D.J., Schalk, G., Wolpaw, J.R., Schlögl, A., del Pfurtscheller, G., RMillán, J., Schröder, M., Birbaumer, N.: The BCI competition III: validating alternative approaches to actual BCI problems. IEEE Trans. Neural Syst. Rehabil. Eng. 14(2), 153–159 (2006)CrossRef Blankertz, B., Müller, K.R., Krusienski, D.J., Schalk, G., Wolpaw, J.R., Schlögl, A., del Pfurtscheller, G., RMillán, J., Schröder, M., Birbaumer, N.: The BCI competition III: validating alternative approaches to actual BCI problems. IEEE Trans. Neural Syst. Rehabil. Eng. 14(2), 153–159 (2006)CrossRef
4.
Zurück zum Zitat Blankertz, B., Tangermann, M., Vidaurre, C., Fazli, S., Sannelli, C., Haufe, S., Maeder, C., Ramsey, L., Sturm, I., Curio, G., Müller, K.R.: The Berlin brain-computer interface: non-medical uses of BCI technology. Front Neurosci. 4, 198 (2010)CrossRef Blankertz, B., Tangermann, M., Vidaurre, C., Fazli, S., Sannelli, C., Haufe, S., Maeder, C., Ramsey, L., Sturm, I., Curio, G., Müller, K.R.: The Berlin brain-computer interface: non-medical uses of BCI technology. Front Neurosci. 4, 198 (2010)CrossRef
5.
Zurück zum Zitat Carroll, M.K., Cecchi, G.A., Rish, I., Garg, R., Rao, A.R.: Prediction and interpretation of distributed neural activity with sparse models. Neuroimage 44(1), 112–122 (2009)CrossRef Carroll, M.K., Cecchi, G.A., Rish, I., Garg, R., Rao, A.R.: Prediction and interpretation of distributed neural activity with sparse models. Neuroimage 44(1), 112–122 (2009)CrossRef
6.
Zurück zum Zitat Chan, A.M., Halgren, E., Marinkovic, K., Cash, S.S.: Decoding word and category-specific spatiotemporal representations from MEG and EEG. Neuroimage 54(4), 3028–3039 (2011)CrossRef Chan, A.M., Halgren, E., Marinkovic, K., Cash, S.S.: Decoding word and category-specific spatiotemporal representations from MEG and EEG. Neuroimage 54(4), 3028–3039 (2011)CrossRef
7.
Zurück zum Zitat Debuse, J.C., Rayward-Smith, V.J.: Feature subset selection within a simulated annealing data mining algorithm. J. Intell. Inf. Syst. 9, 57–81 (1997) Debuse, J.C., Rayward-Smith, V.J.: Feature subset selection within a simulated annealing data mining algorithm. J. Intell. Inf. Syst. 9, 57–81 (1997)
8.
Zurück zum Zitat Dougherty, E.R., Sima, C., Hua, J., Hanczar, B., Braga-Neto, U.M.: Performance of error estimators for classification. Curr. Bioinf. 5(1), 53–67 (2010)CrossRef Dougherty, E.R., Sima, C., Hua, J., Hanczar, B., Braga-Neto, U.M.: Performance of error estimators for classification. Curr. Bioinf. 5(1), 53–67 (2010)CrossRef
9.
Zurück zum Zitat Friedman, J.H., Hastie, T., Tibshirani, R.: Regularization paths for generalized linear models via coordinate descent. J. Stat. Softw. 33(1), 1–22 (2010) Friedman, J.H., Hastie, T., Tibshirani, R.: Regularization paths for generalized linear models via coordinate descent. J. Stat. Softw. 33(1), 1–22 (2010)
10.
Zurück zum Zitat Grosenick, L., Greer, S., Knutson, B.: Interpretable classifiers for FMRI improve prediction of purchases. IEEE Trans. Neural Syst. Rehabil. Eng. 16(6), 539–548 (2008)CrossRef Grosenick, L., Greer, S., Knutson, B.: Interpretable classifiers for FMRI improve prediction of purchases. IEEE Trans. Neural Syst. Rehabil. Eng. 16(6), 539–548 (2008)CrossRef
11.
Zurück zum Zitat Guyon, I., Elisseeff, A.: An introduction to variable and feature seletion. J. Mach. Learn. Res. 3, 1157–1182 (2003)MATH Guyon, I., Elisseeff, A.: An introduction to variable and feature seletion. J. Mach. Learn. Res. 3, 1157–1182 (2003)MATH
13.
Zurück zum Zitat Hanke, M., Halchenko, Y.O., Sederberg, P.B., Olivetti, E., Fründ, I., Rieger, J.W., Herrmann, C.S., Haxby, J.V., Hanson, S.J., Pollmann, S.: PyMVPA: a unifying approach to the analysis of neuroscientific data. Front Neuroinf. 3, 3 (2009) Hanke, M., Halchenko, Y.O., Sederberg, P.B., Olivetti, E., Fründ, I., Rieger, J.W., Herrmann, C.S., Haxby, J.V., Hanson, S.J., Pollmann, S.: PyMVPA: a unifying approach to the analysis of neuroscientific data. Front Neuroinf. 3, 3 (2009)
14.
Zurück zum Zitat Hastie, T., Tibshirani, R., Friedman, J.: The Elements of Statistical Learning: Data Mining, Inference, and Prediction, 2ndedn. Springer Series in Statistics. Springer (2009) Hastie, T., Tibshirani, R., Friedman, J.: The Elements of Statistical Learning: Data Mining, Inference, and Prediction, 2ndedn. Springer Series in Statistics. Springer (2009)
15.
Zurück zum Zitat Haxby, J.V., Gobbini, M.I., Furey, M.L., Ishai, A., Schouten, J., Pietrini, P.: Distributed and overlapping representations of faces and objects in ventral temporal cortex. Science 293(5539), 2425–2430 (2001)CrossRef Haxby, J.V., Gobbini, M.I., Furey, M.L., Ishai, A., Schouten, J., Pietrini, P.: Distributed and overlapping representations of faces and objects in ventral temporal cortex. Science 293(5539), 2425–2430 (2001)CrossRef
16.
Zurück zum Zitat Haynes, J.D.: Multivariate decoding and brain reading: introduction to the special issue. NeuroImage 56(2), 385–386 (2011)CrossRef Haynes, J.D.: Multivariate decoding and brain reading: introduction to the special issue. NeuroImage 56(2), 385–386 (2011)CrossRef
17.
Zurück zum Zitat Haynes, J.D., Rees, G.: Predicting the orientation of invisible stimuli from activity inhuman primary visual cortex. Nat. Neurosci. 8(5), 686–691 (2005)CrossRef Haynes, J.D., Rees, G.: Predicting the orientation of invisible stimuli from activity inhuman primary visual cortex. Nat. Neurosci. 8(5), 686–691 (2005)CrossRef
22.
Zurück zum Zitat Kamitani, Y., Tong, F.: Decoding the visual and subjective contents of the human brain. Nat. Neurosci. 8(5), 679–685 (2005)CrossRef Kamitani, Y., Tong, F.: Decoding the visual and subjective contents of the human brain. Nat. Neurosci. 8(5), 679–685 (2005)CrossRef
23.
Zurück zum Zitat Kauppi, J.P., Huttunen, H., Korkala, H., Jääskeläinen, I.P., Sams, M., Tohka, J.: Face prediction from fMRI data during movie stimulus: strategies for feature selection. In: Proceedings of ICANN 2011. Lecture Notes in Computer Science, Vol. 6792, pp. 189–196. Springer (2011) Kauppi, J.P., Huttunen, H., Korkala, H., Jääskeläinen, I.P., Sams, M., Tohka, J.: Face prediction from fMRI data during movie stimulus: strategies for feature selection. In: Proceedings of ICANN 2011. Lecture Notes in Computer Science, Vol. 6792, pp. 189–196. Springer (2011)
24.
Zurück zum Zitat Kippenhan, J.S., Barker, W.W., Pascal, S., Nagel, J., Duara, R.: Evaluation of a neural-network classifier for pet scans of normal and alzheimer’s disease subjects. J. Nucl. Med. 33(8), 1459–1467 (1992) Kippenhan, J.S., Barker, W.W., Pascal, S., Nagel, J., Duara, R.: Evaluation of a neural-network classifier for pet scans of normal and alzheimer’s disease subjects. J. Nucl. Med. 33(8), 1459–1467 (1992)
26.
Zurück zum Zitat Kleinbaum, D., Klein, M.: Logistic Regression. Statistics for Biology and Health. Springer, New York (2010) Kleinbaum, D., Klein, M.: Logistic Regression. Statistics for Biology and Health. Springer, New York (2010)
27.
Zurück zum Zitat Lautrup, B., Hansen, L., Law, I., Mørch, N., Svarer, C., Strother, S.: Massive weight sharing: a cure for extremely ill-posed problems. In: Supercomputing in Brain Research: From Tomography to, Neural Networks, pp. 137–148 (1994) Lautrup, B., Hansen, L., Law, I., Mørch, N., Svarer, C., Strother, S.: Massive weight sharing: a cure for extremely ill-posed problems. In: Supercomputing in Brain Research: From Tomography to, Neural Networks, pp. 137–148 (1994)
28.
Zurück zum Zitat Lilliefors, H.W.: On the Kolmogorov–Smirnov test for normality with mean and variance unknown. J. Am. Stat. Assoc. 62(318), 399–402 (1967)CrossRef Lilliefors, H.W.: On the Kolmogorov–Smirnov test for normality with mean and variance unknown. J. Am. Stat. Assoc. 62(318), 399–402 (1967)CrossRef
29.
Zurück zum Zitat Lotte, F., Congedo, M., Lécuyer, A., Lamarche, F., Arnaldi, B.: A review of classification algorithms for EEG-based brain–computer interfaces. J. Neural Eng. 4(2), R1 (2007) Lotte, F., Congedo, M., Lécuyer, A., Lamarche, F., Arnaldi, B.: A review of classification algorithms for EEG-based brain–computer interfaces. J. Neural Eng. 4(2), R1 (2007)
30.
Zurück zum Zitat Mar, R.: The neuropsychology of narrative: story comprehension, story production and their interrelation. Neuropsychologia 42(10), 1414–1434 (2004)CrossRef Mar, R.: The neuropsychology of narrative: story comprehension, story production and their interrelation. Neuropsychologia 42(10), 1414–1434 (2004)CrossRef
31.
Zurück zum Zitat Mørch, N., Hansen, L.K., Strother, S.C., Svarer, C., Rottenberg, D.A., Lautrup, B., Savoy, R., Paulson, O.B.: Nonlinear versus linear models in functional neuroimaging: learning curves and generalization crossover. In: Proceedings of the 15th International Conference on Information Processing in Medical Imaging. Lecture Notes in Computer Science, vol. 1230, pp. 259–270 (1997) Mørch, N., Hansen, L.K., Strother, S.C., Svarer, C., Rottenberg, D.A., Lautrup, B., Savoy, R., Paulson, O.B.: Nonlinear versus linear models in functional neuroimaging: learning curves and generalization crossover. In: Proceedings of the 15th International Conference on Information Processing in Medical Imaging. Lecture Notes in Computer Science, vol. 1230, pp. 259–270 (1997)
32.
Zurück zum Zitat Naselaris, T., Kay, K.N., Nishimoto, S., Gallant, J.L.: Encoding and decoding in fMRI. NeuroImage 56(2), 400–410 (2011)CrossRef Naselaris, T., Kay, K.N., Nishimoto, S., Gallant, J.L.: Encoding and decoding in fMRI. NeuroImage 56(2), 400–410 (2011)CrossRef
33.
Zurück zum Zitat Nickels, L.: The hypothesis testing approach to the assesment of language. In: Stremmer, B., Whitaker, H. (eds.) The Handbook of Neuroscience of Language. Academic press (2008) Nickels, L.: The hypothesis testing approach to the assesment of language. In: Stremmer, B., Whitaker, H. (eds.) The Handbook of Neuroscience of Language. Academic press (2008)
34.
Zurück zum Zitat Olsson, C.J., Jonsson, B., Larsson, A., Nyberg, L.: Motor representations and practice affect brain systems underlying imagery: an fMRI study of internal imagery in novices and active high jumpers. Open Neuroimaging J. 2, 5–13 (2008)CrossRef Olsson, C.J., Jonsson, B., Larsson, A., Nyberg, L.: Motor representations and practice affect brain systems underlying imagery: an fMRI study of internal imagery in novices and active high jumpers. Open Neuroimaging J. 2, 5–13 (2008)CrossRef
35.
Zurück zum Zitat O’Toole, A.J., Jiang, F., Abdi, H., Pénard, N., Dunlop, J.P., Parent, M.A.: Theoretical, statistical, and practical perspectives on pattern-based classification approaches to the analysis of functional neuroimaging data. J. Cogn. Neurosci. 19(11), 1735–1752 (2007)CrossRef O’Toole, A.J., Jiang, F., Abdi, H., Pénard, N., Dunlop, J.P., Parent, M.A.: Theoretical, statistical, and practical perspectives on pattern-based classification approaches to the analysis of functional neuroimaging data. J. Cogn. Neurosci. 19(11), 1735–1752 (2007)CrossRef
37.
Zurück zum Zitat Pereira, F., Mitchell, T., Botvinick, M.: Machine learning classifiers and fMRI: a tutorial overview. NeuroImage 45(Suppl 1), S199–S209 (2009)CrossRef Pereira, F., Mitchell, T., Botvinick, M.: Machine learning classifiers and fMRI: a tutorial overview. NeuroImage 45(Suppl 1), S199–S209 (2009)CrossRef
38.
Zurück zum Zitat Pfurtscheller, G., Lopes da Silva, F.H.: Event-related EEG/MEG synchronization and desynchronization: basic principles. Clin. Neurophysiol. 110(11), 1842–1857 (1999)CrossRef Pfurtscheller, G., Lopes da Silva, F.H.: Event-related EEG/MEG synchronization and desynchronization: basic principles. Clin. Neurophysiol. 110(11), 1842–1857 (1999)CrossRef
39.
Zurück zum Zitat Poldrack, R.A., Halchenko, Y.O., Hanson, S.J.: Decoding the large-scale structure of brain function by classifying mental states across individuals. Psychol. Sci. 20(11), 1364–1372 (2009)CrossRef Poldrack, R.A., Halchenko, Y.O., Hanson, S.J.: Decoding the large-scale structure of brain function by classifying mental states across individuals. Psychol. Sci. 20(11), 1364–1372 (2009)CrossRef
40.
Zurück zum Zitat Pudil, P., Novovičová, J., Kittler, J.: Floating search methods in feature selection. Pattern Recogn. Lett. 15(11), 1119–1125 (1994)CrossRef Pudil, P., Novovičová, J., Kittler, J.: Floating search methods in feature selection. Pattern Recogn. Lett. 15(11), 1119–1125 (1994)CrossRef
41.
Zurück zum Zitat Rasmussen, P.M., Hansen, L.K., Madsen, K.H., Churchill, N.W., Strother, S.C.: Model sparsity and brain pattern interpretation of classification models in neuroimaging. Pattern Recognit. 45(6), 2085–2100 (2012)CrossRef Rasmussen, P.M., Hansen, L.K., Madsen, K.H., Churchill, N.W., Strother, S.C.: Model sparsity and brain pattern interpretation of classification models in neuroimaging. Pattern Recognit. 45(6), 2085–2100 (2012)CrossRef
42.
Zurück zum Zitat Rasmussen, P.M., Madsen, K.H., Lund, T.E., Hansen, L.K.: Visualization of nonlinear kernel models in neuroimaging by sensitivity maps. NeuroImage 55(3), 1120–1131 (2011)CrossRef Rasmussen, P.M., Madsen, K.H., Lund, T.E., Hansen, L.K.: Visualization of nonlinear kernel models in neuroimaging by sensitivity maps. NeuroImage 55(3), 1120–1131 (2011)CrossRef
43.
Zurück zum Zitat Rieger, J.W., Reichert, C., Gegenfurtner, K.R., Noesselt, T., Braun, C., Heinze, H.J., Kruse, R., Hinrichs, H.: Predicting the recognition of natural scenes from single trial MEG recordings of brain activity. Neuroimage 42(3), 1056–1068 (2008)CrossRef Rieger, J.W., Reichert, C., Gegenfurtner, K.R., Noesselt, T., Braun, C., Heinze, H.J., Kruse, R., Hinrichs, H.: Predicting the recognition of natural scenes from single trial MEG recordings of brain activity. Neuroimage 42(3), 1056–1068 (2008)CrossRef
45.
Zurück zum Zitat Stam, C.: Use of magnetoencephalography (MEG) to study functional brain networks in neurodegenerative disorders. J. Neurol. Sci. 289(1–2), 128–134 (2010)CrossRef Stam, C.: Use of magnetoencephalography (MEG) to study functional brain networks in neurodegenerative disorders. J. Neurol. Sci. 289(1–2), 128–134 (2010)CrossRef
46.
Zurück zum Zitat Tangermann, M., Müller, K.R., Aertsen, A., Birbaumer, N., Braun, C., Brunner, C., Leeb, R., Mehring, C., Miller, K.J., Mueller-Putz, G., Nolte, G., Pfurtscheller, G., Preissl, H., Schalk, G., Schlögl, A., Vidaurre, C., Waldert, S., Blankertz, B.: Review of the BCI competition IV. Front. Neurosci. 6(55), 1–31 (2012) Tangermann, M., Müller, K.R., Aertsen, A., Birbaumer, N., Braun, C., Brunner, C., Leeb, R., Mehring, C., Miller, K.J., Mueller-Putz, G., Nolte, G., Pfurtscheller, G., Preissl, H., Schalk, G., Schlögl, A., Vidaurre, C., Waldert, S., Blankertz, B.: Review of the BCI competition IV. Front. Neurosci. 6(55), 1–31 (2012)
47.
Zurück zum Zitat Tibshirani, R.: Regression shrinkage and selection via the Lasso. J. R. Stat. Soc. Ser. B 58, 267–288 (1994)MathSciNet Tibshirani, R.: Regression shrinkage and selection via the Lasso. J. R. Stat. Soc. Ser. B 58, 267–288 (1994)MathSciNet
48.
Zurück zum Zitat Tomioka, R., Müller, K.R.: A regularized discriminative framework for EEG analysis with application to brain-computer interface. NeuroImage 49(1), 415–432 (2010)CrossRef Tomioka, R., Müller, K.R.: A regularized discriminative framework for EEG analysis with application to brain-computer interface. NeuroImage 49(1), 415–432 (2010)CrossRef
49.
Zurück zum Zitat van De Ville, D., Lee, S.W.: Brain decoding: opportunities and challenges for pattern recognition. Pattern Recognit. Spec. Issue Brain Decod. 45(6), 2033–2034 (2012)CrossRefMATH van De Ville, D., Lee, S.W.: Brain decoding: opportunities and challenges for pattern recognition. Pattern Recognit. Spec. Issue Brain Decod. 45(6), 2033–2034 (2012)CrossRefMATH
50.
Zurück zum Zitat van Gerven, M., Hesse, C., Jensen, O., Heskes, T.: Interpreting single trial data using groupwise regularisation. Neuroimage 46, 665–676 (2009) van Gerven, M., Hesse, C., Jensen, O., Heskes, T.: Interpreting single trial data using groupwise regularisation. Neuroimage 46, 665–676 (2009)
51.
Zurück zum Zitat Waldert, S., Preissl, H., Demandt, E., Braun, C., Birbaumer, N., Aertsen, A., Mehring, C.: Hand movement direction decoded from MEG and EEG. J. Neurosci. 28(4), 1000–1008 (2008)CrossRef Waldert, S., Preissl, H., Demandt, E., Braun, C., Birbaumer, N., Aertsen, A., Mehring, C.: Hand movement direction decoded from MEG and EEG. J. Neurosci. 28(4), 1000–1008 (2008)CrossRef
52.
Zurück zum Zitat Webb, A.: Statistical Pattern Recognition, 2nd edn. John Wiley& Sons, Chichester, England (2002) Webb, A.: Statistical Pattern Recognition, 2nd edn. John Wiley& Sons, Chichester, England (2002)
53.
Zurück zum Zitat Zhdanov, A., Hendler, T., Ungerleider, L., Intrator, N.: Inferring functional brain states using temporal evolution of regularized classifiers. Comput. Intell. Neurosci. 2007 (2007) Zhdanov, A., Hendler, T., Ungerleider, L., Intrator, N.: Inferring functional brain states using temporal evolution of regularized classifiers. Comput. Intell. Neurosci. 2007 (2007)
54.
Zurück zum Zitat Zou, H., Hastie, T.: Regularization and variable selection via the elastic net. J. R. Stat. Soc. Ser. B (Stat. Methodol.) 67(2), 301–320 (2005)MathSciNetCrossRefMATH Zou, H., Hastie, T.: Regularization and variable selection via the elastic net. J. R. Stat. Soc. Ser. B (Stat. Methodol.) 67(2), 301–320 (2005)MathSciNetCrossRefMATH
Metadaten
Titel
Mind reading with regularized multinomial logistic regression
verfasst von
Heikki Huttunen
Tapio Manninen
Jukka-Pekka Kauppi
Jussi Tohka
Publikationsdatum
01.08.2013
Verlag
Springer Berlin Heidelberg
Erschienen in
Machine Vision and Applications / Ausgabe 6/2013
Print ISSN: 0932-8092
Elektronische ISSN: 1432-1769
DOI
https://doi.org/10.1007/s00138-012-0464-y

Weitere Artikel der Ausgabe 6/2013

Machine Vision and Applications 6/2013 Zur Ausgabe