A Comparison of Partial Information Decompositions Using Data from Real and Simulated Layer 5b Pyramidal Cells
Partial information decomposition allows the joint mutual information between an output and a set of inputs to be divided into components that are synergistic or shared or unique to each input. We consider five different decompositions and compare their results using data from layer 5b pyramidal cel...
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MDPI AG
2022-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/8/1021 |
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| author | Jim W. Kay Jan M. Schulz William A. Phillips |
| author_facet | Jim W. Kay Jan M. Schulz William A. Phillips |
| author_sort | Jim W. Kay |
| collection | DOAJ |
| description | Partial information decomposition allows the joint mutual information between an output and a set of inputs to be divided into components that are synergistic or shared or unique to each input. We consider five different decompositions and compare their results using data from layer 5b pyramidal cells in two different studies. The first study was on the amplification of somatic action potential output by apical dendritic input and its regulation by dendritic inhibition. We find that two of the decompositions produce much larger estimates of synergy and shared information than the others, as well as large levels of unique misinformation. When within-neuron differences in the components are examined, the five methods produce more similar results for all but the shared information component, for which two methods produce a different statistical conclusion from the others. There are some differences in the expression of unique information asymmetry among the methods. It is significantly larger, on average, under dendritic inhibition. Three of the methods support a previous conclusion that apical amplification is reduced by dendritic inhibition. The second study used a detailed compartmental model to produce action potentials for many combinations of the numbers of basal and apical synaptic inputs. Decompositions of the entire data set produce similar differences to those in the first study. Two analyses of decompositions are conducted on subsets of the data. In the first, the decompositions reveal a bifurcation in unique information asymmetry. For three of the methods, this suggests that apical drive switches to basal drive as the strength of the basal input increases, while the other two show changing mixtures of information and misinformation. Decompositions produced using the second set of subsets show that all five decompositions provide support for properties of cooperative context-sensitivity—to varying extents. |
| first_indexed | 2024-03-09T09:58:03Z |
| format | Article |
| id | doaj.art-190628feb35e4cee9ac5a9e4f3a09a35 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T09:58:03Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
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| series | Entropy |
| spelling | doaj.art-190628feb35e4cee9ac5a9e4f3a09a352023-12-01T23:38:44ZengMDPI AGEntropy1099-43002022-07-01248102110.3390/e24081021A Comparison of Partial Information Decompositions Using Data from Real and Simulated Layer 5b Pyramidal CellsJim W. Kay0Jan M. Schulz1William A. Phillips2School of Mathematics and Statistics, University of Glasgow, Glasgow G12 8QQ, UKDepartment of Biomedicine, University of Basel, 4001 Basel, SwitzerlandFaculty of Natural Sciences, University of Stirling, Stirling FK9 4LA, UKPartial information decomposition allows the joint mutual information between an output and a set of inputs to be divided into components that are synergistic or shared or unique to each input. We consider five different decompositions and compare their results using data from layer 5b pyramidal cells in two different studies. The first study was on the amplification of somatic action potential output by apical dendritic input and its regulation by dendritic inhibition. We find that two of the decompositions produce much larger estimates of synergy and shared information than the others, as well as large levels of unique misinformation. When within-neuron differences in the components are examined, the five methods produce more similar results for all but the shared information component, for which two methods produce a different statistical conclusion from the others. There are some differences in the expression of unique information asymmetry among the methods. It is significantly larger, on average, under dendritic inhibition. Three of the methods support a previous conclusion that apical amplification is reduced by dendritic inhibition. The second study used a detailed compartmental model to produce action potentials for many combinations of the numbers of basal and apical synaptic inputs. Decompositions of the entire data set produce similar differences to those in the first study. Two analyses of decompositions are conducted on subsets of the data. In the first, the decompositions reveal a bifurcation in unique information asymmetry. For three of the methods, this suggests that apical drive switches to basal drive as the strength of the basal input increases, while the other two show changing mixtures of information and misinformation. Decompositions produced using the second set of subsets show that all five decompositions provide support for properties of cooperative context-sensitivity—to varying extents.https://www.mdpi.com/1099-4300/24/8/1021information theorypartial information decompositionpointwise partial information decompositionsynergyredundancycooperative context-sensitivity |
| spellingShingle | Jim W. Kay Jan M. Schulz William A. Phillips A Comparison of Partial Information Decompositions Using Data from Real and Simulated Layer 5b Pyramidal Cells Entropy information theory partial information decomposition pointwise partial information decomposition synergy redundancy cooperative context-sensitivity |
| title | A Comparison of Partial Information Decompositions Using Data from Real and Simulated Layer 5b Pyramidal Cells |
| title_full | A Comparison of Partial Information Decompositions Using Data from Real and Simulated Layer 5b Pyramidal Cells |
| title_fullStr | A Comparison of Partial Information Decompositions Using Data from Real and Simulated Layer 5b Pyramidal Cells |
| title_full_unstemmed | A Comparison of Partial Information Decompositions Using Data from Real and Simulated Layer 5b Pyramidal Cells |
| title_short | A Comparison of Partial Information Decompositions Using Data from Real and Simulated Layer 5b Pyramidal Cells |
| title_sort | comparison of partial information decompositions using data from real and simulated layer 5b pyramidal cells |
| topic | information theory partial information decomposition pointwise partial information decomposition synergy redundancy cooperative context-sensitivity |
| url | https://www.mdpi.com/1099-4300/24/8/1021 |
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