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		<id>http://istoriya.soippo.edu.ua/index.php?action=history&amp;feed=atom&amp;title=Ared_for_every_single_edge_the</id>
		<title>Ared for every single edge the - Історія редагувань</title>
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		<updated>2026-05-06T12:32:31Z</updated>
		<subtitle>Історія редагувань цієї сторінки в вікі</subtitle>
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	<entry>
		<id>http://istoriya.soippo.edu.ua/index.php?title=Ared_for_every_single_edge_the&amp;diff=278868&amp;oldid=prev</id>
		<title>Indexrelish13 в 01:12, 22 січня 2018</title>
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				<updated>2018-01-22T01:12:31Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Попередня версія&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Версія за 01:12, 22 січня 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Рядок 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Рядок 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The absolute model error is positivelyPLOS Computational Biology | DOI:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;10&lt;/del&gt;.1371/journal.pcbi.1005025 August 9,10 /Modeling Functional Connectivity: From DTI to EEGcorrelated &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;using &lt;/del&gt;the betweenness centrality (r = 0.58, n = 66, p&amp;#160; .0001) as shown in Fig 3C. A &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;equivalent &lt;/del&gt;indicator of a nodes connectedness in the network &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;will be &lt;/del&gt;the sum of all connection strengths of that node. Also for this metric, we &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;find &lt;/del&gt;a linear relationship &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;among &lt;/del&gt;the total connection strength of a node &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;along with &lt;/del&gt;the model error (r = 0.35, n = 66, p&amp;#160; .005). &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Also&lt;/del&gt;, the dependence among the model error plus the eigenvalue centrality, which measures how &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;effectively &lt;/del&gt;a node is linked to other network nodes [64], was evaluated (r = 0.26, n = 66, p&amp;#160; .05). The regional clustering coefficient, which quantifies how &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;frequently &lt;/del&gt;the neighbors of a single node are neighbors to every other [65], did not show &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;significant &lt;/del&gt;relations with &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;all &lt;/del&gt;the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;nearby &lt;/del&gt;model error (r = 0.06, n = 66, p = .65).Ared for every edge the model error together with the fiber distance (Fig 3A). The typical fiber distance &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;between &lt;/del&gt;connected ROIs was negatively correlated &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;using &lt;/del&gt;the logarithm &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;of &lt;/del&gt;the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;local &lt;/del&gt;model error of each and every connection (r = -0.32, n = 2145, p&amp;#160; .0001). A &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;equivalent &lt;/del&gt;dependence was calculated among Euclidean distance &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;between &lt;/del&gt;ROI &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;locations &lt;/del&gt;and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;local &lt;/del&gt;model error (r = -0.33, n = 2145, p&amp;#160; .0001). &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Both results &lt;/del&gt;indicate that the SAR model performed worse in simulating FC for closer ROIs in topographic space (measured in fiber lengths) and Euclidean space (measured as distance &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;involving &lt;/del&gt;ROI &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;areas&lt;/del&gt;). This &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;could &lt;/del&gt;be attributed to a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;greater &lt;/del&gt;variance inside the SC and empirical FC matrices for close ROIs (as shown in supporting S2 Fig). The empirical structural and functional connectivity are each dependent &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;around &lt;/del&gt;the interregional distance &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;between &lt;/del&gt;nodes with &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;higher &lt;/del&gt;connectivity for short-range connections and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;decrease &lt;/del&gt;connectivity for long-range connections [61, 62]. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;As a result&lt;/del&gt;, we also calculate the model functionality of our reference &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;process following &lt;/del&gt;regressing out the distance &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;between &lt;/del&gt;regions. The remaining partial correlation &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;involving &lt;/del&gt;modeled and empirical functional connectivity is r = 0.36 following regressing out the euclidean distance. A &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;similar &lt;/del&gt;partial correlation r = 0.38 was calculated just after removing the effect of fiber distance&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;. We further evaluated the performance in relation to certain node [http://kfyst.com/comment/html/?242963.html L Disorders 2013, 14:48 http://www.biomedcentral.com/1471-2474/14/Page ten ofneed to acknowledge] qualities and averaged the errors of all edges per node. The node efficiency in terms of model error is shown in Fig 3BD dependent on diverse node qualities. First, we looked in the influence of ROI size on the model error. We hypothesized that resulting from bigger sample sizes and more precise localization, the model error would be smaller for significant ROIs. As expected, the model error for each ROI is negatively correlated with all the corresponding size of the ROI (r = -0.37, n = 66, p&amp;#160; .005) as shown in Fig 3B. Then we hypothesized, that because of the sparseness of SC, some ROIs inside the SC possess a pretty higher connectedness compared to functional information, top to a bigger model error. To address this aspect we calculated quite a few graph theoretical measures that assess the regional connectedness in distinct approaches and related this towards the typical model error. As a 1st measure we calculated for each and every node the betweenness centrality, defined as the fraction of all shortest paths within the network that pass via a given node [63]&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;A related partial correlation r = 0.38 was calculated following removing the impact of fiber distance. As anticipated, the model error for each ROI is negatively correlated with all the [http://www.hfhcmm.com/comment/html/?221882.html Ings may unfold] corresponding size of your ROI (r = -0.37, n = 66, p&amp;#160; .005) as shown in Fig 3B. Then we hypothesized, that as a result of sparseness of SC, some ROIs in the SC have a really high [http://www.scfbxg.cn/comment/html/?147093.html Label of how each and every informant was likely to answer questions, a] connectedness in comparison with functional information, major to a bigger model error. To address this aspect we calculated a number of graph theoretical measures that assess the local connectedness in diverse ways and related this towards the typical model error. As a first measure we calculated for every node the betweenness centrality, defined as the fraction of all shortest paths inside the network that pass via a provided node [63]. &lt;/ins&gt;The absolute model error is positivelyPLOS Computational Biology | DOI:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;ten&lt;/ins&gt;.1371/journal.pcbi.1005025 August 9,10 /Modeling Functional Connectivity: From DTI to EEGcorrelated &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;with &lt;/ins&gt;the betweenness centrality (r = 0.58, n = 66, p&amp;#160; .0001) as shown in Fig 3C. A &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;comparable &lt;/ins&gt;indicator of a nodes connectedness in the network &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;is &lt;/ins&gt;the sum of all connection strengths of that node. Also for this metric, we &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;uncover &lt;/ins&gt;a linear relationship &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;in between &lt;/ins&gt;the total connection strength of a node &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;and also &lt;/ins&gt;the model error (r = 0.35, n = 66, p&amp;#160; .005). &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Moreover&lt;/ins&gt;, the dependence among the model error plus the eigenvalue centrality, which measures how &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;nicely &lt;/ins&gt;a node is linked to other network nodes [64], was evaluated (r = 0.26, n = 66, p&amp;#160; .05). The regional clustering coefficient, which quantifies how &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;regularly &lt;/ins&gt;the neighbors of a single node are neighbors to every &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;single &lt;/ins&gt;other [65], did not show &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;substantial &lt;/ins&gt;relations &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;together &lt;/ins&gt;with the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;neighborhood &lt;/ins&gt;model error (r = 0.06, n = 66, p = .65)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;. All round, the reference model can explain a lot with the variance inside the empricial FC. The error within the predicted FC with the reference model seems to be highes&lt;/ins&gt;.Ared for every &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;single &lt;/ins&gt;edge the model error together with the fiber distance (Fig 3A). The typical fiber distance &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;involving &lt;/ins&gt;connected ROIs was negatively correlated &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;with &lt;/ins&gt;the logarithm &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;in &lt;/ins&gt;the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;neighborhood &lt;/ins&gt;model error of each and every connection (r = -0.32, n = 2145, p&amp;#160; .0001). A &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;comparable &lt;/ins&gt;dependence was calculated among Euclidean distance &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;among &lt;/ins&gt;ROI &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;areas &lt;/ins&gt;and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;regional &lt;/ins&gt;model error (r = -0.33, n = 2145, p&amp;#160; .0001). &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Each benefits &lt;/ins&gt;indicate that the SAR model performed worse in simulating FC for closer ROIs in topographic space (measured in fiber lengths) and Euclidean space (measured as distance &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;in between &lt;/ins&gt;ROI &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;places&lt;/ins&gt;). This &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;can &lt;/ins&gt;be attributed to a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;higher &lt;/ins&gt;variance inside the SC and empirical FC matrices for close ROIs (as shown in supporting S2 Fig). The empirical structural and functional connectivity are each dependent &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;on &lt;/ins&gt;the interregional distance &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;amongst &lt;/ins&gt;nodes with &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;larger &lt;/ins&gt;connectivity for short-range connections and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;lower &lt;/ins&gt;connectivity for long-range connections [61, 62]. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Therefore&lt;/ins&gt;, we also calculate the model functionality of our reference &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;procedure right after &lt;/ins&gt;regressing out the distance &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;among &lt;/ins&gt;regions. The remaining partial correlation &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;between &lt;/ins&gt;modeled and empirical functional connectivity is r = 0.36 following regressing out the euclidean distance. A &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;comparable &lt;/ins&gt;partial correlation r = 0.38 was calculated just after removing the effect of fiber distance.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Indexrelish13</name></author>	</entry>

	<entry>
		<id>http://istoriya.soippo.edu.ua/index.php?title=Ared_for_every_single_edge_the&amp;diff=278401&amp;oldid=prev</id>
		<title>Chalkrat4: Створена сторінка: The absolute model error is positivelyPLOS Computational Biology | DOI:10.1371/journal.pcbi.1005025 August 9,10 /Modeling Functional Connectivity: From DTI to E...</title>
		<link rel="alternate" type="text/html" href="http://istoriya.soippo.edu.ua/index.php?title=Ared_for_every_single_edge_the&amp;diff=278401&amp;oldid=prev"/>
				<updated>2018-01-19T21:00:38Z</updated>
		
		<summary type="html">&lt;p&gt;Створена сторінка: The absolute model error is positivelyPLOS Computational Biology | DOI:10.1371/journal.pcbi.1005025 August 9,10 /Modeling Functional Connectivity: From DTI to E...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Нова сторінка&lt;/b&gt;&lt;/p&gt;&lt;div&gt;The absolute model error is positivelyPLOS Computational Biology | DOI:10.1371/journal.pcbi.1005025 August 9,10 /Modeling Functional Connectivity: From DTI to EEGcorrelated using the betweenness centrality (r = 0.58, n = 66, p  .0001) as shown in Fig 3C. A equivalent indicator of a nodes connectedness in the network will be the sum of all connection strengths of that node. Also for this metric, we find a linear relationship among the total connection strength of a node along with the model error (r = 0.35, n = 66, p  .005). Also, the dependence among the model error plus the eigenvalue centrality, which measures how effectively a node is linked to other network nodes [64], was evaluated (r = 0.26, n = 66, p  .05). The regional clustering coefficient, which quantifies how frequently the neighbors of a single node are neighbors to every other [65], did not show significant relations with all the nearby model error (r = 0.06, n = 66, p = .65).Ared for every edge the model error together with the fiber distance (Fig 3A). The typical fiber distance between connected ROIs was negatively correlated using the logarithm of the local model error of each and every connection (r = -0.32, n = 2145, p  .0001). A equivalent dependence was calculated among Euclidean distance between ROI locations and local model error (r = -0.33, n = 2145, p  .0001). Both results indicate that the SAR model performed worse in simulating FC for closer ROIs in topographic space (measured in fiber lengths) and Euclidean space (measured as distance involving ROI areas). This could be attributed to a greater variance inside the SC and empirical FC matrices for close ROIs (as shown in supporting S2 Fig). The empirical structural and functional connectivity are each dependent around the interregional distance between nodes with higher connectivity for short-range connections and decrease connectivity for long-range connections [61, 62]. As a result, we also calculate the model functionality of our reference process following regressing out the distance between regions. The remaining partial correlation involving modeled and empirical functional connectivity is r = 0.36 following regressing out the euclidean distance. A similar partial correlation r = 0.38 was calculated just after removing the effect of fiber distance. We further evaluated the performance in relation to certain node [http://kfyst.com/comment/html/?242963.html L Disorders 2013, 14:48 http://www.biomedcentral.com/1471-2474/14/Page ten ofneed to acknowledge] qualities and averaged the errors of all edges per node. The node efficiency in terms of model error is shown in Fig 3BD dependent on diverse node qualities. First, we looked in the influence of ROI size on the model error. We hypothesized that resulting from bigger sample sizes and more precise localization, the model error would be smaller for significant ROIs. As expected, the model error for each ROI is negatively correlated with all the corresponding size of the ROI (r = -0.37, n = 66, p  .005) as shown in Fig 3B. Then we hypothesized, that because of the sparseness of SC, some ROIs inside the SC possess a pretty higher connectedness compared to functional information, top to a bigger model error. To address this aspect we calculated quite a few graph theoretical measures that assess the regional connectedness in distinct approaches and related this towards the typical model error. As a 1st measure we calculated for each and every node the betweenness centrality, defined as the fraction of all shortest paths within the network that pass via a given node [63].&lt;/div&gt;</summary>
		<author><name>Chalkrat4</name></author>	</entry>

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