Abstract
In classification problems, the objective is to classify observations into a set of K discrete classes C∈{1…K}. To these ends, one often tries to estimate or approximate the posterior probabilities p(k|x) ≡ p(C = k|x). Given these, one could classify new observations x into the class C * for which we have
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Balaguer-Ballester, E., Lapish, C.C., Seamans, J.K., Daniel Durstewitz, D.: Attractor dynamics of cortical populations during memory-guided decision-making. PLoS Comput. Biol. 7, e1002057 (2011)
Berger, J.O.: Statistical Decision Theory and Bayesian Analysis, 2nd edn. Springer, New York (1985)
Bertschinger, N., Natschläger, T.: Real-time computation at the edge of chaos in recurrent neural networks. Neural Comput. 16, 1413–1436 (2004)
Bishop, C.M.: Pattern Recognition and Machine Learning. Springer, New York (2006)
Brown, E.N., Kass, R.E., Mitra, P.P.: Multiple neural spike train data analysis: state-of-the-art and future challenges. Nat. Neurosci. 7, 456–461 (2004)
Burges, C.J.C.: A tutorial on support vector machines for pattern recognition. Data Mining Knowl. Discov. 2, 121–167 (1998)
Churchland, M.M., Yu, B.M., Sahani, M., Shenoy, K.V.: Techniques for extracting single-trial activity patterns from large-scale neural recordings. Curr. Opin. Neurobiol. 17, 609–618 (2007)
Cox, D.R.: The regression analysis of binary sequences (with discussion). J. Roy. Stat. Soc. B. 20, 215–242 (1958)
Cruz, A.V., Mallet, N., Magill, P.J., Brown, P., Averbeck, B.B.: Effects of dopamine depletion on network entropy in the external globus pallidus. J. Neurophysiol. 102, 1092–1102 (2009)
Duda, R.O., Hart, P.E.: Pattern Classification and Scene Analysis. Wiley, New York (1973)
Durstewitz, D., Vittoz, N.M., Floresco, S.B., Seamans, J.K.: Abrupt transitions between prefrontal neural ensemble states accompany behavioral transitions during rule learning. Neuron. 66, 438–448 (2010)
Fahrmeir, L., Tutz, G.: Multivariate Statistical Modelling Based on Generalized Linear Models. Springer, New York (2010)
Hastie, T., Tibshirani, R., Friedman, J.: The Elements of Statistical Learning (Vol. 2, No. 1) Springer, New York (2009)
Hausfeld, L., Valente, G., Formisano, E.: Multiclass fMRI data decoding and visualization using supervised self-organizing maps. Neuroimage. 96, 54–66 (2014)
Haynes, J.D., Rees, G.: Decoding mental states from brain activity in humans. Nat. Rev. Neurosci. 7, 523–534 (2006)
Lapish, C.C., Durstewitz, D., Chandler, L.J., Seamans, J.K.: Successful choice behavior is associated with distinct and coherent network states in anterior cingulate cortex. Proc. Natl. Acad. Sci. U S A. 105, 11963–11968 (2008)
Lapish, C.C., Balaguer-Ballester, E., Seamans, J.K., Phillips, A.G., Durstewitz, D.: Amphetamine exerts dose-dependent changes in prefrontal cortex attractor dynamics during working memory. J. Neurosci. 35, 10172–10187 (2015)
Meyer-Lindenberg, A., Poline, J.B., Kohn, P.D., Holt, J.L., Egan, M.F., Weinberger, D.R., Berman, K.F.: Evidence for abnormal cortical functional connectivity during working memory in schizophrenia. Am. J. Psychiatry. 158, 1809–1817 (2001)
Nelder, J., Wedderburn, R.: Generalized linear models. J. Roy. Stat. Soc. Ser. A. 135, 370–384 (1972)
Quiroga, R.Q., Panzeri, S.: Extracting information from neuronal populations: information theory and decoding approaches. Nat. Rev. Neurosci. 10, 173–185 (2009)
Roweis, S.T., Saul, L.K.: Nonlinear dimensionality reduction by locally linear embedding. Science. 290, 2323–2326 (2000)
Schölkopf, B., Smola, A.J.: Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond (Adaptive Computation and Machine Learning). MIT Press, Cambridge, MA (2002)
Winer, B.J.: Statistical Principles in Experimental Design. McGraw-Hill, New York (1971)
Witten, D.M., Tibshirani, R.: Covariance-regularized regression and classification for high dimensional problems. J. R. Stat. Soc. Ser. B (Statistical Methodology). 71, 615–636 (2009)
Witten, D.M., Tibshirani, R.: Penalized classification using Fisher’s linear discriminant. J. R. Stat. Soc. Ser. B. 73, 753–772 (2011a)
Yourganov, G., Schmah, T., Churchill, N.W., Berman, M.G., Grady, C.L., Strother, S.C.: Pattern classification of fMRI data: applications for analysis of spatially distributed cortical networks. Neuroimage. 96, 117–132 (2014)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Durstewitz, D. (2017). Classification Problems. In: Advanced Data Analysis in Neuroscience. Bernstein Series in Computational Neuroscience. Springer, Cham. https://doi.org/10.1007/978-3-319-59976-2_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-59976-2_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-59974-8
Online ISBN: 978-3-319-59976-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)