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	<id>https://murray.cds.caltech.edu/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Venkatc</id>
	<title>Murray Wiki - User contributions [en]</title>
	<link rel="self" type="application/atom+xml" href="https://murray.cds.caltech.edu/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Venkatc"/>
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	<updated>2026-05-27T12:56:04Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Rodolphe_Sepulchre,_June_2013&amp;diff=16025</id>
		<title>Rodolphe Sepulchre, June 2013</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Rodolphe_Sepulchre,_June_2013&amp;diff=16025"/>
		<updated>2013-05-31T20:07:31Z</updated>

		<summary type="html">&lt;p&gt;Venkatc: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Rodolphe Sepulchre will visit Caltech on 3 June 2013 (Mon).  &lt;br /&gt;
&lt;br /&gt;
=== Agenda ===&lt;br /&gt;
{{agenda begin}}&lt;br /&gt;
{{agenda item|9:30a|Richard Murray, 109 Steele Lab}}&lt;br /&gt;
{{agenda item|9:45a|Meet with Richard&#039;s NCS group, 110 Steele}}&lt;br /&gt;
* 9:45-10:45: Necmiye, Mumu, Eric, Rangoli&lt;br /&gt;
* 10:45-11:45: Enoch, Marcella, Anandh, Dan&lt;br /&gt;
{{agenda item|11:45a|Lunch with Venkat, CMS faculty}}&lt;br /&gt;
{{agenda item|1:15p|Seminar setup}}&lt;br /&gt;
{{agenda item|1:30p|Seminar, 121 ANB}}&lt;br /&gt;
{{agenda item|3:00p|Venkat Chandrasekaran, 300 ANB}}&lt;br /&gt;
{{agenda item|3:45p|Lijun Chen, 202 ANB}}&lt;br /&gt;
{{agenda item|4:30p|Andrea Censi, 320 ANB}}&lt;br /&gt;
{{agenda item|5:15p|Done}}&lt;br /&gt;
{{agenda end}}&lt;br /&gt;
&lt;br /&gt;
=== Abstract ===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;The geometry of (thin) SVD revisited for large-scale computations&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Rodolphe Sepulchre&amp;lt;br&amp;gt;&lt;br /&gt;
University of Liege, Belgium&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The talk will introduce a riemannian framework for large-scale  computations over the&lt;br /&gt;
set of low-rank  matrices. The foundation is geometric  and the motivation&lt;br /&gt;
is algorithmic, with a bias towards efficient computations in large-scale problems.&lt;br /&gt;
We will explore how classical matrix factorizations connect the riemannian geometry of the set of&lt;br /&gt;
fixed-rank matrices  to two well-studied manifolds: the Grassmann manifold of linear subspaces and the cone&lt;br /&gt;
of positive definite matrices. The theory will be illustrated on various applications, including &lt;br /&gt;
low-rank Kalman filtering,  linear regression with low-rank priors, matrix completion,  and  the choice of a suitable metric for Diffusion Tensor Imaging.&lt;/div&gt;</summary>
		<author><name>Venkatc</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Rodolphe_Sepulchre,_June_2013&amp;diff=16021</id>
		<title>Rodolphe Sepulchre, June 2013</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Rodolphe_Sepulchre,_June_2013&amp;diff=16021"/>
		<updated>2013-05-30T05:18:46Z</updated>

		<summary type="html">&lt;p&gt;Venkatc: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Rodolphe Sepulchre will visit Caltech on 3 June 2013 (Mon).  &lt;br /&gt;
&lt;br /&gt;
=== Agenda ===&lt;br /&gt;
{{agenda begin}}&lt;br /&gt;
{{agenda item|9:30a|Richard Murray, 109 Steele Lab}}&lt;br /&gt;
{{agenda item|9:45a|Meet with Richard&#039;s NCS group, 110 Steele}}&lt;br /&gt;
* 9:45-10:45: Necmiye, Mumu, Eric, Rangoli&lt;br /&gt;
* 10:45-11:45: Enoch, Marcella, Anandh, Dan&lt;br /&gt;
{{agenda item|11:45a|Lunch with Venkat, CMS faculty}}&lt;br /&gt;
{{agenda item|1:15p|Seminar setup}}&lt;br /&gt;
{{agenda item|1:30p|Seminar, 213 ANB}}&lt;br /&gt;
{{agenda item|3:00p|Open}}&lt;br /&gt;
{{agenda item|3:45p|Open}}&lt;br /&gt;
{{agenda item|4:30p|Andrea Censi)}}&lt;br /&gt;
{{agenda item|5:15p|Done}}&lt;br /&gt;
{{agenda end}}&lt;br /&gt;
&lt;br /&gt;
=== Abstract ===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;The geometry of (thin) SVD revisited for large-scale computations&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Rodolphe Sepulchre&amp;lt;br&amp;gt;&lt;br /&gt;
University of Liege, Belgium&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The talk will introduce a riemannian framework for large-scale  computations over the&lt;br /&gt;
set of low-rank  matrices. The foundation is geometric  and the motivation&lt;br /&gt;
is algorithmic, with a bias towards efficient computations in large-scale problems.&lt;br /&gt;
We will explore how classical matrix factorizations connect the riemannian geometry of the set of&lt;br /&gt;
fixed-rank matrices  to two well-studied manifolds: the Grassmann manifold of linear subspaces and the cone&lt;br /&gt;
of positive definite matrices. The theory will be illustrated on various applications, including &lt;br /&gt;
low-rank Kalman filtering,  linear regression with low-rank priors, matrix completion,  and  the choice of a suitable metric for Diffusion Tensor Imaging.&lt;/div&gt;</summary>
		<author><name>Venkatc</name></author>
	</entry>
	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Rodolphe_Sepulchre,_June_2013&amp;diff=16018</id>
		<title>Rodolphe Sepulchre, June 2013</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Rodolphe_Sepulchre,_June_2013&amp;diff=16018"/>
		<updated>2013-05-28T22:54:32Z</updated>

		<summary type="html">&lt;p&gt;Venkatc: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Rodolphe Sepulchre will visit Caltech on 3 June 2013 (Mon).  &lt;br /&gt;
&lt;br /&gt;
=== Agenda ===&lt;br /&gt;
{{agenda begin}}&lt;br /&gt;
{{agenda item|9:30a|Richard Murray, 109 Steele Lab}}&lt;br /&gt;
{{agenda item|9:45a|Meet with Richard&#039;s NCS group, 110 Steele}}&lt;br /&gt;
* 9:45-10:45: Necmiye, Mumu, Eric, Ivan&lt;br /&gt;
* 10:45-11:45: Enoch, Marcella, Anandh, Dan&lt;br /&gt;
{{agenda item|11:45|Seminar setup}}&lt;br /&gt;
{{agenda item|12:00p|Seminar, 213 ANB}}&lt;br /&gt;
{{agenda item|1:00p|Lunch with Venkat, CMS faculty}}&lt;br /&gt;
{{agenda item|2:15p|Venkat Chandrasekaran, 300 Annenberg}}&lt;br /&gt;
{{agenda item|3:00p|Open}}&lt;br /&gt;
{{agenda item|3:45p|Open}}&lt;br /&gt;
{{agenda item|4:30p|Andrea Censi)}}&lt;br /&gt;
{{agenda item|5:15p|Done}}&lt;br /&gt;
{{agenda end}}&lt;br /&gt;
&lt;br /&gt;
=== Abstract ===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;The geometry of (thin) SVD revisited for large-scale computations&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Rodolphe Sepulchre&amp;lt;br&amp;gt;&lt;br /&gt;
University of Liege, Belgium&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The talk will introduce a riemannian framework for large-scale  computations over the&lt;br /&gt;
set of low-rank  matrices. The foundation is geometric  and the motivation&lt;br /&gt;
is algorithmic, with a bias towards efficient computations in large-scale problems.&lt;br /&gt;
We will explore how classical matrix factorizations connect the riemannian geometry of the set of&lt;br /&gt;
fixed-rank matrices  to two well-studied manifolds: the Grassmann manifold of linear subspaces and the cone&lt;br /&gt;
of positive definite matrices. The theory will be illustrated on various applications, including &lt;br /&gt;
low-rank Kalman filtering,  linear regression with low-rank priors, matrix completion,  and  the choice of a suitable&lt;/div&gt;</summary>
		<author><name>Venkatc</name></author>
	</entry>
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