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- Factorial_code abstract "Most real world data sets consist of data vectors whose individual components are not statistically independent, that is, they are redundant in the statistical sense. Then it is desirable to create a factorial code of the data, i. e., a new vector-valued representation of each data vector such that it gets uniquely encoded by the resulting code vector (loss-free coding), but the code components are statistically independent.Later supervised learning usually works much better when the raw input data is first translated into such a factorial code. For example, suppose the final goal is to classify images with highly redundant pixels. A naive Bayes classifier will assume the pixels are statistically independent random variables and therefore fail to produce good results. If the data are first encoded in a factorial way, however, then the naive Bayes classifier will achieve its optimal performance (compare Schmidhuber et al. 1996).To create factorial codes, Horace Barlow and co-workers suggested to minimize the sum of the bit entropies of the code components of binary codes (1989). Jürgen Schmidhuber (1992) re-formulated the problem in terms of predictors and binary feature detectors, each receiving the raw data as an input. For each detector there is a predictor that sees the other detectors and learns to predict the output of its own detector in response to the various input vectors or images. But each detector uses a machine learning algorithm to become as unpredictable as possible. The global optimum of this objective function corresponds to a factorial code represented in a distributed fashion across the outputs of the feature detectors.".
- Factorial_code wikiPageID "11612350".
- Factorial_code wikiPageLength "2668".
- Factorial_code wikiPageOutDegree "28".
- Factorial_code wikiPageRevisionID "666077335".
- Factorial_code wikiPageWikiLink Binary_number.
- Factorial_code wikiPageWikiLink Bit.
- Factorial_code wikiPageWikiLink Blind_signal_separation.
- Factorial_code wikiPageWikiLink Category:Multivariate_statistics.
- Factorial_code wikiPageWikiLink Category:Signal_processing.
- Factorial_code wikiPageWikiLink Factor_analysis.
- Factorial_code wikiPageWikiLink Feature_(machine_learning).
- Factorial_code wikiPageWikiLink Horace_Barlow.
- Factorial_code wikiPageWikiLink Image_processing.
- Factorial_code wikiPageWikiLink Independence_(probability_theory).
- Factorial_code wikiPageWikiLink Jürgen_Schmidhuber.
- Factorial_code wikiPageWikiLink Loss_function.
- Factorial_code wikiPageWikiLink Machine_learning.
- Factorial_code wikiPageWikiLink Maxima_and_minima.
- Factorial_code wikiPageWikiLink Naive_Bayes_classifier.
- Factorial_code wikiPageWikiLink Principal_component_analysis.
- Factorial_code wikiPageWikiLink Random_variable.
- Factorial_code wikiPageWikiLink Representation_(mathematics).
- Factorial_code wikiPageWikiLink Sensor.
- Factorial_code wikiPageWikiLink Signal_processing.
- Factorial_code wikiPageWikiLink Statistics.
- Factorial_code wikiPageWikiLink Supervised_learning.
- Factorial_code wikiPageWikiLink Unsupervised_learning.
- Factorial_code wikiPageWikiLink Wikt:redundant.
- Factorial_code wikiPageWikiLinkText "Factorial code".
- Factorial_code wikiPageWikiLinkText "factorial code".
- Factorial_code date "February 2012".
- Factorial_code reason "what sense is this?".
- Factorial_code wikiPageUsesTemplate Template:Clarify.
- Factorial_code subject Category:Multivariate_statistics.
- Factorial_code subject Category:Signal_processing.
- Factorial_code type Type.
- Factorial_code type Field.
- Factorial_code type Type.
- Factorial_code comment "Most real world data sets consist of data vectors whose individual components are not statistically independent, that is, they are redundant in the statistical sense. Then it is desirable to create a factorial code of the data, i.".
- Factorial_code label "Factorial code".
- Factorial_code sameAs Q5428736.
- Factorial_code sameAs m.02rlk63.
- Factorial_code sameAs Q5428736.
- Factorial_code wasDerivedFrom Factorial_code?oldid=666077335.
- Factorial_code isPrimaryTopicOf Factorial_code.