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  <title>NITRC News Group Forum: multi-subject-fmri-analysis-via-combined-independent-component-analysis-and-shift-invariant-canonical-polyadic-decomposition.</title>
  <link>http://www.nitrc.org/forum/forum.php?forum_id=5511</link>
  <description>
	&lt;table border=&quot;0&quot; width=&quot;100%&quot;&gt;&lt;tr&gt;&lt;td align=&quot;left&quot;/&gt;&lt;td align=&quot;right&quot;&gt;&lt;a href=&quot;http://www.ncbi.nlm.nih.gov/sites/entrez?db=pubmed&amp;amp;cmd=Link&amp;amp;LinkName=pubmed_pubmed&amp;amp;from_uid=26327319&quot;&gt;Related Articles&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;
        &lt;p&gt;&lt;b&gt;Multi-Subject fMRI Analysis via Combined Independent Component Analysis and Shift-Invariant Canonical Polyadic Decomposition.&lt;/b&gt;&lt;/p&gt;          
        &lt;p&gt;J Neurosci Methods. 2015 Aug 28;&lt;/p&gt;
        &lt;p&gt;Authors:  Kuang LD, Lin QH, Gong XF, Cong F, Sui J, Calhoun VD&lt;/p&gt;
        &lt;p&gt;Abstract&lt;br/&gt;
        BACKGROUND: Canonical polyadic decomposition (CPD) may face a local optimal problem when analyzing multi-subject fMRI data with inter-subject variability. Beckmann and Smith proposed a tensor PICA approach that incorporated an independence constraint to the spatial modality by combining CPD with ICA, and alleviated the problem of inter-subject spatial map (SM) variability.&lt;br/&gt;
        NEW METHOD: This study extends tensor PICA to incorporate additional inter-subject time course (TC) variability and to connect CPD and ICA in a new way. Assuming multiple subjects share common TCs but with different time delays, we accommodate subject-dependent TC delays into the CP model based on the idea of shift-invariant CP (SCP). We use ICA as an initialization step to provide the aggregating mixing matrix for shift-invariant CPD to estimate shared TCs with subject-dependent delays and intensities. We then estimate shared SMs using a least-squares fit post shift-invariant CPD.&lt;br/&gt;
        RESULTS: Using simulated fMRI data as well as actual fMRI data we demonstrate that the proposed approach improves the estimates of the shared SMs and TCs, and the subject-dependent TC delays and intensities. The default mode component illustrates larger TC delays than the task-related component.&lt;br/&gt;
        COMPARISON WITH EXISTING METHOD(S): The proposed approach shows improvements over tensor PICA in particular when TC delays are large, and also outperforms SCP with SM orthogonality constraint and SCP with ICA-based SM initialization.&lt;br/&gt;
        CONCLUSIONS: TCs with subject-dependent delays conform to the true situation of multi-subject fMRI data. The proposed approach is suitable for decomposing multi-subject fMRI data with large inter-subject temporal and spatial variability.&lt;br/&gt;
        &lt;/p&gt;&lt;p&gt;PMID: 26327319 [PubMed - as supplied by publisher]&lt;/p&gt;
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