Information Decomposition of Target Effects from Multi-Source Interactions
Using Shannon information theory to analyse the contributions from two source variables to a target, for example, we can measure the information held by one source about the target, the information held by the other source about the target, and the information held by those sources together about th...
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Truy cập trực tuyến: | 27535 |
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| _version_ | 1869524202086727680 |
|---|---|
| author | Michael Wibral (Ed.) Joseph Lizier (Ed.) Nils Bertschinger (Ed.) Juergen Jost (Ed.) |
| author_browse | Joseph Lizier (Ed.) Juergen Jost (Ed.) Michael Wibral (Ed.) Nils Bertschinger (Ed.) |
| author_facet | Michael Wibral (Ed.) Joseph Lizier (Ed.) Nils Bertschinger (Ed.) Juergen Jost (Ed.) |
| author_sort | Michael Wibral (Ed.) |
| collection | Directory of Open Access Books |
| description | Using Shannon information theory to analyse the contributions from two source variables to a target, for example, we can measure the information held by one source about the target, the information held by the other source about the target, and the information held by those sources together about the target. Intuitively, however, there is strong desire to measure further notions of how this directed information interaction may be decomposed, e.g., how much information the two source variables hold redundantly about the target, how much each source variable holds uniquely, and how much information can only be discerned by synergistically examining the two sources together. The absence of measures for such decompositions into redundant, unique and synergistic information is arguably the most fundamental missing piece in classical information theory. Triggered by the formulation of the Partial Information Decomposition framework by Williams and Beer in 2010, the past few years have witnessed a concentration of work by the community in proposing, contrasting, and investigating new measures to capture these notions of information decomposition. This Special Issue seeks to bring together these efforts, to capture a snapshot of the current research, as well as to provide impetus for and focused scrutiny on newer work, present progress to the wider community and attract further research. Our contributions present: several new approaches for measures of such decompotions; commentary on properties, interpretations and limitations of such approaches; and applications to empirical data (in particular to neural data). |
| format | Online |
| id | doab-20.500.12854ir-50217 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-502172023-12-20T18:40:40Z Information Decomposition of Target Effects from Multi-Source Interactions Michael Wibral (Ed.) Joseph Lizier (Ed.) Nils Bertschinger (Ed.) Juergen Jost (Ed.) QA1-939 QC1-999 Shannon information synergy shared information transfer entropy information theory mutual information redundancy information decomposition bic Book Industry Communication::P Mathematics & science Using Shannon information theory to analyse the contributions from two source variables to a target, for example, we can measure the information held by one source about the target, the information held by the other source about the target, and the information held by those sources together about the target. Intuitively, however, there is strong desire to measure further notions of how this directed information interaction may be decomposed, e.g., how much information the two source variables hold redundantly about the target, how much each source variable holds uniquely, and how much information can only be discerned by synergistically examining the two sources together. The absence of measures for such decompositions into redundant, unique and synergistic information is arguably the most fundamental missing piece in classical information theory. Triggered by the formulation of the Partial Information Decomposition framework by Williams and Beer in 2010, the past few years have witnessed a concentration of work by the community in proposing, contrasting, and investigating new measures to capture these notions of information decomposition. This Special Issue seeks to bring together these efforts, to capture a snapshot of the current research, as well as to provide impetus for and focused scrutiny on newer work, present progress to the wider community and attract further research. Our contributions present: several new approaches for measures of such decompotions; commentary on properties, interpretations and limitations of such approaches; and applications to empirical data (in particular to neural data). 2021-02-11T16:13:43Z 2021-02-11T16:13:43Z 2018-09-04 13:22:10 2018 book 27535 9783038970156 9783038970163 https://directory.doabooks.org/handle/20.500.12854/50217 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://www.mdpi.com/books/pdfview/book/735 https://play.google.com/books/publish/a/14935057684283403269#details/ISBN:9783038970156 https://www.mdpi.com/books/pdfview/book/735 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03897-016-3 10.3390/books978-3-03897-016-3 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783038970156 9783038970163 336 open access |
| spellingShingle | QA1-939 QC1-999 Shannon information synergy shared information transfer entropy information theory mutual information redundancy information decomposition bic Book Industry Communication::P Mathematics & science Michael Wibral (Ed.) Joseph Lizier (Ed.) Nils Bertschinger (Ed.) Juergen Jost (Ed.) Information Decomposition of Target Effects from Multi-Source Interactions |
| title | Information Decomposition of Target Effects from Multi-Source Interactions |
| title_full | Information Decomposition of Target Effects from Multi-Source Interactions |
| title_fullStr | Information Decomposition of Target Effects from Multi-Source Interactions |
| title_full_unstemmed | Information Decomposition of Target Effects from Multi-Source Interactions |
| title_short | Information Decomposition of Target Effects from Multi-Source Interactions |
| title_sort | information decomposition of target effects from multi source interactions |
| topic | QA1-939 QC1-999 Shannon information synergy shared information transfer entropy information theory mutual information redundancy information decomposition bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 QC1-999 Shannon information synergy shared information transfer entropy information theory mutual information redundancy information decomposition bic Book Industry Communication::P Mathematics & science |
| url | 27535 |
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