Abstract:
:Independent component analysis (ICA) finds a linear transformation to variables that are maximally statistically independent. We examine ICA and algorithms for finding the best transformation from the point of view of maximizing the likelihood of the data. In particular, we discuss the way in which scaling of the unmixing matrix permits a "static" nonlinearity to adapt to various marginal densities. We demonstrate a new algorithm that uses generalized exponential functions to model the marginal densities and is able to separate densities with light tails. We characterize the manifold of decorrelating matrices and show that it lies along the ridges of high-likelihood unmixing matrices in the space of all unmixing matrices. We show how to find the optimum ICA matrix on the manifold of decorrelating matrices, and as an example we use the algorithm to find independent component basis vectors for an ensemble of portraits.
journal_name
Neural Computjournal_title
Neural computationauthors
Everson R,Roberts Sdoi
10.1162/089976699300016043subject
Has Abstractpub_date
1999-11-15 00:00:00pages
1957-83issue
8eissn
0899-7667issn
1530-888Xjournal_volume
11pub_type
杂志文章abstract::A neuronal population is a computational unit that receives a multivariate, time-varying input signal and creates a related multivariate output. These neural signals are modeled as stochastic processes that transmit information in real time, subject to stochastic noise. In a stationary environment, where the input sig...
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journal_title:Neural computation
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journal_title:Neural computation
pub_type: 杂志文章,评审
doi:10.1162/089976699300016665
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journal_title:Neural computation
pub_type: 杂志文章
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journal_title:Neural computation
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journal_title:Neural computation
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journal_title:Neural computation
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journal_title:Neural computation
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journal_title:Neural computation
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journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/089976698300017728
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journal_title:Neural computation
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journal_title:Neural computation
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journal_title:Neural computation
pub_type: 杂志文章
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journal_title:Neural computation
pub_type: 杂志文章
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