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		<title>Ared for each edge the - Історія редагувань</title>
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		<updated>2026-05-06T15:11:22Z</updated>
		<subtitle>Історія редагувань цієї сторінки в вікі</subtitle>
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		<id>http://istoriya.soippo.edu.ua/index.php?title=Ared_for_each_edge_the&amp;diff=280421&amp;oldid=prev</id>
		<title>Indexrelish13 в 19:58, 25 січня 2018</title>
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				<updated>2018-01-25T19:58:24Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&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 19:58, 25 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;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;As a initially measure we calculated for each and every node &lt;/del&gt;the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[http://www.medchemexpress.com/XCT790.html XCT790MedChemExpress XCT790] betweenness centrality, defined because the fraction of all shortest paths inside the network that pass via a provided node [63]. Also, the dependence &lt;/del&gt;in &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;between &lt;/del&gt;the model &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;error and the eigenvalue centrality, which measures how properly a node is linked &lt;/del&gt;to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;other network nodes [64], was evaluated (r = 0.26, n = 66, p&amp;#160; .05). The local clustering coefficient, which quantifies how frequently the neighbors of one particular node are neighbors to every single other [65], didn't show considerable relations using the nearby model error (r = 0.06, n = 66, p = .65)&lt;/del&gt;.Ared for each and every edge the model error &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;using &lt;/del&gt;the fiber distance (Fig 3A). The average 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 from the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;local &lt;/del&gt;model error of 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 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;in between &lt;/del&gt;Euclidean distance &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;in &lt;/del&gt;between ROI locations and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;neighborhood &lt;/del&gt;model error (r = -0.33, n = 2145, p&amp;#160; .0001). Both &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;final 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;locations&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;higher &lt;/del&gt;variance &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;inside &lt;/del&gt;the SC and empirical FC matrices for close ROIs (as shown in supporting S2 Fig). The empirical structural and functional connectivity are &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;both &lt;/del&gt;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;in &lt;/del&gt;between 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;lower &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 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;overall performance &lt;/del&gt;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;amongst &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 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;immediately &lt;/del&gt;after regressing out the euclidean distance. A related partial correlation r = 0.38 was calculated &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;after &lt;/del&gt;removing the effect of fiber distance. We additional evaluated the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;functionality &lt;/del&gt;in relation to specific node &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;characteristics &lt;/del&gt;and averaged the errors of all edges per node. The node performance when it comes to model error is shown in Fig 3BD dependent on &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;distinctive &lt;/del&gt;node characteristics. 1st, we looked at the influence of ROI size around the model error. We hypothesized that &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;resulting from &lt;/del&gt;larger sample sizes and much more precise localization, the model error &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;could &lt;/del&gt;be smaller for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;massive &lt;/del&gt;ROIs. As expected, the model error for each ROI is negatively correlated &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;using &lt;/del&gt;the corresponding size &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;of your &lt;/del&gt;ROI (r = -0.37, n = 66, p&amp;#160; .005) as shown in Fig 3B. Then we hypothesized, that &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;due to &lt;/del&gt;the sparseness of SC, some ROIs &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;in &lt;/del&gt;the SC &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;have &lt;/del&gt;a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;really higher &lt;/del&gt;connectedness in comparison &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;to &lt;/del&gt;functional &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;information&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;leading &lt;/del&gt;to a larger model error. To address this aspect we calculated &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;various &lt;/del&gt;graph theoretical measures that assess the nearby connectedness in &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;distinct strategies &lt;/del&gt;and associated this towards the typical model error. As a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;initially &lt;/del&gt;measure we calculated for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;every &lt;/del&gt;node the betweenness centrality, defined &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;because &lt;/del&gt;the fraction of all shortest paths &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;in &lt;/del&gt;the network that pass &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;through &lt;/del&gt;a offered node [63]. 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,&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ten &lt;/del&gt;/Modeling Functional Connectivity: From DTI to EEGcorrelated with &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;all &lt;/del&gt;the betweenness centrality (r = 0.58, n = 66, p&amp;#160; .0001) as shown in Fig 3C.&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;The error in &lt;/ins&gt;the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;predicted FC &lt;/ins&gt;in the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;reference &lt;/ins&gt;model &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;seems &lt;/ins&gt;to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;become highes&lt;/ins&gt;.Ared for each and every edge the model error &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;with all &lt;/ins&gt;the fiber distance (Fig 3A). The average fiber distance &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;among &lt;/ins&gt;connected ROIs was negatively correlated &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;together with &lt;/ins&gt;the logarithm from the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;neighborhood &lt;/ins&gt;model error of 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 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;involving &lt;/ins&gt;Euclidean distance between ROI locations and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;local &lt;/ins&gt;model error (r = -0.33, n = 2145, p&amp;#160; .0001). Both &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;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;amongst &lt;/ins&gt;ROI &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;areas&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;larger &lt;/ins&gt;variance &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;within &lt;/ins&gt;the SC and empirical FC matrices for close ROIs (as shown in supporting S2 Fig). The empirical structural and functional connectivity are &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;each &lt;/ins&gt;dependent &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;on &lt;/ins&gt;the interregional distance between 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;reduce &lt;/ins&gt;connectivity for long-range connections [61, 62]. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Thus&lt;/ins&gt;, we also calculate the model &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;efficiency &lt;/ins&gt;of our reference &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;procedure just after &lt;/ins&gt;regressing out the distance &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;involving &lt;/ins&gt;regions. The remaining partial correlation &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;in between &lt;/ins&gt;modeled and empirical functional connectivity is r = 0.36 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;just &lt;/ins&gt;after regressing out the euclidean distance. A related partial correlation r = 0.38 was calculated &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;following &lt;/ins&gt;removing the effect of fiber distance. We additional evaluated the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;performance &lt;/ins&gt;in relation to specific node &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;traits &lt;/ins&gt;and averaged the errors of all edges per node. The node performance when it comes to model error is shown in Fig 3BD dependent on &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;diverse &lt;/ins&gt;node characteristics. 1st, we looked at the influence of ROI size around the model error. We hypothesized that &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;as a consequence of &lt;/ins&gt;larger sample sizes and much more precise localization, the model error &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;would &lt;/ins&gt;be smaller &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;sized &lt;/ins&gt;for &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;big &lt;/ins&gt;ROIs. As expected, the model error for each &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;and every &lt;/ins&gt;ROI is negatively correlated &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;with &lt;/ins&gt;the corresponding size &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;on the &lt;/ins&gt;ROI (r = -0.37, n = 66, p&amp;#160; .005) as shown in Fig 3B. Then we hypothesized, that &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;because of &lt;/ins&gt;the sparseness of SC, some ROIs &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;within &lt;/ins&gt;the SC &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;possess &lt;/ins&gt;a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[http://www.share-dollar.com/comment/html/?51783.html Librated against every {of the] pretty high &lt;/ins&gt;connectedness in comparison &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;with &lt;/ins&gt;functional &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;data&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;top &lt;/ins&gt;to a larger model error. To address this aspect we calculated &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;quite a few &lt;/ins&gt;graph theoretical measures that assess the nearby connectedness in &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;diverse ways &lt;/ins&gt;and associated this towards the typical model error. As a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;very first &lt;/ins&gt;measure we calculated for &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;each &lt;/ins&gt;node the betweenness centrality, defined &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;as &lt;/ins&gt;the fraction of all shortest paths &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;within &lt;/ins&gt;the network that pass &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;via &lt;/ins&gt;a offered node [63]. 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,&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;10 &lt;/ins&gt;/Modeling Functional Connectivity: From DTI to EEGcorrelated with the betweenness centrality (r = 0.58, n = 66, p&amp;#160; .0001) as shown in Fig 3C&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;. A equivalent indicator of a nodes connectedness inside the network is definitely the sum of all connection strengths of that node. Also for this metric, we discover a linear partnership among the total connection strength of a node and also the model error (r = 0.35, n = 66, p&amp;#160; .005). Moreover, the dependence between 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&amp;#160; .05)&lt;/ins&gt;.&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_each_edge_the&amp;diff=278382&amp;oldid=prev</id>
		<title>Indexrelish13: Створена сторінка: As a initially measure we calculated for each and every node the [http://www.medchemexpress.com/XCT790.html XCT790MedChemExpress XCT790] betweenness centrality,...</title>
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				<updated>2018-01-19T18:45:28Z</updated>
		
		<summary type="html">&lt;p&gt;Створена сторінка: As a initially measure we calculated for each and every node the [http://www.medchemexpress.com/XCT790.html XCT790MedChemExpress XCT790] betweenness centrality,...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Нова сторінка&lt;/b&gt;&lt;/p&gt;&lt;div&gt;As a initially measure we calculated for each and every node the [http://www.medchemexpress.com/XCT790.html XCT790MedChemExpress XCT790] betweenness centrality, defined because the fraction of all shortest paths inside the network that pass via a provided node [63]. Also, the dependence in between the model error and the eigenvalue centrality, which measures how properly a node is linked to other network nodes [64], was evaluated (r = 0.26, n = 66, p  .05). The local clustering coefficient, which quantifies how frequently the neighbors of one particular node are neighbors to every single other [65], didn't show considerable relations using the nearby model error (r = 0.06, n = 66, p = .65).Ared for each and every edge the model error using the fiber distance (Fig 3A). The average fiber distance between connected ROIs was negatively correlated using the logarithm from the local model error of every connection (r = -0.32, n = 2145, p  .0001). A equivalent dependence was calculated in between Euclidean distance in between ROI locations and neighborhood model error (r = -0.33, n = 2145, p  .0001). Both final 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 locations). This could be attributed to a higher variance inside the SC and empirical FC matrices for close ROIs (as shown in supporting S2 Fig). The empirical structural and functional connectivity are both dependent around the interregional distance in between nodes with higher connectivity for short-range connections and lower connectivity for long-range connections [61, 62]. As a result, we also calculate the model overall performance of our reference process following regressing out the distance amongst regions. The remaining partial correlation involving modeled and empirical functional connectivity is r = 0.36 immediately after regressing out the euclidean distance. A related partial correlation r = 0.38 was calculated after removing the effect of fiber distance. We additional evaluated the functionality in relation to specific node characteristics and averaged the errors of all edges per node. The node performance when it comes to model error is shown in Fig 3BD dependent on distinctive node characteristics. 1st, we looked at the influence of ROI size around the model error. We hypothesized that resulting from larger sample sizes and much more precise localization, the model error could be smaller for massive ROIs. As expected, the model error for each ROI is negatively correlated using the corresponding size of your ROI (r = -0.37, n = 66, p  .005) as shown in Fig 3B. Then we hypothesized, that due to the sparseness of SC, some ROIs in the SC have a really higher connectedness in comparison to functional information, leading to a larger model error. To address this aspect we calculated various graph theoretical measures that assess the nearby connectedness in distinct strategies and associated this towards the typical model error. As a initially measure we calculated for every node the betweenness centrality, defined because the fraction of all shortest paths in the network that pass through a offered node [63]. The absolute model error is positivelyPLOS Computational Biology | DOI:10.1371/journal.pcbi.1005025 August 9,ten /Modeling Functional Connectivity: From DTI to EEGcorrelated with all the betweenness centrality (r = 0.58, n = 66, p  .0001) as shown in Fig 3C.&lt;/div&gt;</summary>
		<author><name>Indexrelish13</name></author>	</entry>

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