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Hi Yiyao,
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<div class="">Thank you for your attempts at clarifying your doubts. I still don’t understand what the confusion is. I doubt whether many people have made the effort of opening the word document, but I did so, and cannot make much out of it. It’s a bit too
confusing to me to try and map all the different variable name conventions (paper versus code) onto each other. In general, however, I don’t understand why you think that the ’source covariance matrix’ should be an identity matrix, which source covariance
matrix you are referring to, and which combination of variables in the code you would expect to yield an identity matrix. </div>
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<div class="">As in any distributed source model, the source reconstructed variance-covariance matrix (i.e. filter * C * filter’) surely will not be an identity matrix. This would namely imply that the variance of each of the reconstructed sources is the same
(and has a value of 1). On the other hand, it could be that there’s some confusion with respect to the ‘prior’ that is used for the computations, i.e. the (implicit) identity matrix that is used for the computation of the Gram-matrix (lf * lf’) -> this can
be thought of as (lf * S * lf’), with S being the prior variance-covariance matrix of the sources, which is often conveniently set to be an identity matrix. </div>
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<div class="">Note that the FieldTrip code for the sloreta implementation has originally been contributed by Sarang Dalal, and this is based on the formulation as described in the Sekihara & Nagarajan book (adaptive spatial filters for electromagnetic brain
imaging). It would therefore be better to check the code against the description in the book, rather than to the paper that you attached to the e-mail. And subsequently you might want to check the exposition in the book, with the paper.</div>
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<div class="">Good luck and best wishes,</div>
<div class="">Jan-Mathijs</div>
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<div class="">On 8 Oct 2022, at 16:56, Yiyao Ye Lin via fieldtrip <<a href="mailto:fieldtrip@science.ru.nl" class="">fieldtrip@science.ru.nl</a>> wrote:</div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);" class="">Dear researchers,<o:p class=""></o:p></span></div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);" class=""><o:p class=""> </o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);" class="">I am sorry to not formulate correctly the question. In the attached file I attempted to explain my doubt. Hope that you can understand my question this time and
can help me to better understand sLortea.<span class="Apple-converted-space"> </span><o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);" class=""><o:p class=""> </o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);" class="">What I can not understand is that sLoreta is standardized minimum norm solution, the source covariance matrix should be identity matrix. However, I could not
check this. I think that there be something that I did not understand correctly.<o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);" class="">Thank you very much for your attention<o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);" class="">Best regards<o:p class=""></o:p></span></div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">*******************<o:p class=""></o:p></span></div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">Yiyao Ye Lin</span><span lang="ES" style="font-family: Arial, sans-serif;" class=""><o:p class=""></o:p></span></div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">C/Camino de Vera SN<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class="">
<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">Universidad Politècnica de València<o:p class=""></o:p></span></div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">Departamento de Ingeniería Electrónica, Ed. 7F<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class="">
<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">46022, València<o:p class=""></o:p></span></div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">València<o:p class=""></o:p></span></div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">Ext. 76026<span class="Apple-converted-space"> </span><o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""><o:p class=""> </o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);" class=""><o:p class=""> </o:p></span></div>
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<b class=""><span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">De:</span></b><span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""><span class="Apple-converted-space"> </span>fieldtrip <<a href="mailto:fieldtrip-bounces@science.ru.nl" class="">fieldtrip-bounces@science.ru.nl</a>><span class="Apple-converted-space"> </span><b class="">En
nombre de<span class="Apple-converted-space"> </span></b>Schoffelen, J.M. (Jan Mathijs) via fieldtrip<br class="">
<b class="">Enviado el:</b><span class="Apple-converted-space"> </span>jueves, 6 de octubre de 2022 8:09<br class="">
<b class="">Para:</b><span class="Apple-converted-space"> </span>FieldTrip discussion list <<a href="mailto:fieldtrip@science.ru.nl" class="">fieldtrip@science.ru.nl</a>><br class="">
<b class="">CC:</b><span class="Apple-converted-space"> </span>Schoffelen, J.M. (Jan Mathijs) <<a href="mailto:janmathijs.schoffelen@donders.ru.nl" class="">janmathijs.schoffelen@donders.ru.nl</a>><br class="">
<b class="">Asunto:</b><span class="Apple-converted-space"> </span>Re: [FieldTrip] sloreta doest not get unity source variance<o:p class=""></o:p></span></div>
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Hi Yiyao,<span class="Apple-converted-space"> </span><o:p class=""></o:p></div>
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To be honest, I don’t understand your question. And it is not clear what the problem is. <o:p class=""></o:p></div>
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Can you please have a look at the documentation below and reformulate your question, so that the readership of the list can constructively think along?<o:p class=""></o:p></div>
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<a href="https://www.fieldtriptoolbox.org/faq/how_to_ask_good_questions_to_the_community/" style="color: purple; text-decoration: underline;" class="">https://www.fieldtriptoolbox.org/faq/how_to_ask_good_questions_to_the_community/</a><o:p class=""></o:p></div>
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<o:p class=""> </o:p></div>
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<a href="https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1002202" style="color: purple; text-decoration: underline;" class="">https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1002202</a><o:p class=""></o:p></div>
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<o:p class=""> </o:p></div>
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<a href="http://www.catb.org/esr/faqs/smart-questions.html" style="color: purple; text-decoration: underline;" class="">http://www.catb.org/esr/faqs/smart-questions.html</a><span class="apple-tab-span"><o:p class=""></o:p></span></div>
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Best wishes,<o:p class=""></o:p></div>
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Jan-Mathijs<o:p class=""></o:p></div>
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On 5 Oct 2022, at 18:49, Yiyao Ye Lin via fieldtrip <<a href="mailto:fieldtrip@science.ru.nl" style="color: purple; text-decoration: underline;" class="">fieldtrip@science.ru.nl</a>> wrote:<o:p class=""></o:p></div>
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<o:p class=""> </o:p></div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""> </span><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""><o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">Dear researchers,<o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">After reading the sLoreta theory, I attempted to understand the sloreta implementation detail. I attempted to obtain the source covariance matrix, and I could not get the expected unit
variance. To do this, I attempted to calculate by two ways:<o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">a)</span><span style="font-size: 7pt;" class=""> <span class="apple-converted-space"> </span></span><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">lf'*invG*lf
after line 268 of ft_inverse_sloreta<o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">b)</span><span style="font-size: 7pt;" class=""> <span class="apple-converted-space"> </span></span><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">lf(:,ii)'*invG*lf(:,ii)
at line 267 of ft_inverse_sloreta<o:p class=""></o:p></span></div>
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<div style="margin: 0cm 0cm 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class="">
<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">For this, I used EEG signal with average reference.<span class="apple-converted-space"> </span><o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">What's wrong? How can the unity variance of source variance matrix?<span class="apple-converted-space"> </span><o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">Best regards<o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">*******************<o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">Yiyao Ye Lin<o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">C/Camino de Vera SN<o:p class=""></o:p></span></div>
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<span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">Universidad Politècnica de Valèn</span><span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">cia</span><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""><o:p class=""></o:p></span></div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">Departamento de Ingeniería Electrónica, Ed. 7F</span><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""><o:p class=""></o:p></span></div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">46022, València</span><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""><o:p class=""></o:p></span></div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">València</span><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""><o:p class=""></o:p></span></div>
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<span lang="ES" style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">Ext. 76026<span class="apple-converted-space"> </span></span><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""><o:p class=""></o:p></span></div>
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<span style="font-size: 10.5pt; font-family: Helvetica, sans-serif;" class="">_______________________________________________<br class="">
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</span><a href="https://doi.org/10.1371/journal.pcbi.1002202" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 10.5pt; font-family: Helvetica, sans-serif; color: rgb(149, 79, 114);" class="">https://doi.org/10.1371/journal.pcbi.1002202</span></a><o:p class=""></o:p></div>
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<span id="cid:0D738FF6-6443-4F51-9931-80ABF4A69C90"><sloreta question.docx></span><span id="cid:EDBE4687-3D1A-4CE3-B41A-82389477F44B"><sLoreta Technical details.pdf></span><span style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 14px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;" class="">_______________________________________________</span><br style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 14px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;" class="">
<span style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 14px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;" class="">fieldtrip
mailing list</span><br style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 14px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;" class="">
<a href="https://mailman.science.ru.nl/mailman/listinfo/fieldtrip" style="color: purple; text-decoration: underline; font-family: Helvetica; font-size: 14px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px;" class="">https://mailman.science.ru.nl/mailman/listinfo/fieldtrip</a><br style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 14px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;" class="">
<a href="https://doi.org/10.1371/journal.pcbi.1002202" style="color: purple; text-decoration: underline; font-family: Helvetica; font-size: 14px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px;" class="">https://doi.org/10.1371/journal.pcbi.1002202</a></div>
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