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</xml><![endif]--> Estimados Académicos y Alumnos, <br>
<br>
<br>
Se les recuerda que hoy Miércoles 14 de Diciembre a las 16:30 hrs,
se realizará el Seminario Optimización y Equilibrio, en la sala de
Seminarios John Von Neumann CMM, séptimo piso, (Ingreso Ascensores
Torre Poniente, Piso 7).<br>
<br>
<br>
<div align="left"><i style="mso-bidi-font-style:normal"><span
style="font-size:12.0pt;line-height:115%;mso-fareast-font-family:
Cambria;mso-fareast-theme-font:minor-latin;mso-bidi-font-family:Arial;
color:windowtext;mso-bidi-font-weight:normal" lang="ES-CL"><b>SEMINARIO</b><o:p></o:p></span></i></div>
<span lang="ES-CL"><o:p> </o:p></span> <br>
<b style="mso-bidi-font-weight: normal"><i
style="mso-bidi-font-style:normal"><span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL">OPTIMIZACIÓN Y EQUILIBRIO<o:p></o:p></span></i></b>
<br>
<b style="mso-bidi-font-weight: normal"><i
style="mso-bidi-font-style:normal"><span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL"><br>
EXPOSITOR<o:p></o:p></span></i></b> <br>
<b style="mso-bidi-font-weight: normal"><i
style="mso-bidi-font-style:normal"><span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL">Guillaume Garrigos<o:p></o:p></span></i></b> <br>
<b style="mso-bidi-font-weight: normal"><i
style="mso-bidi-font-style:normal"><span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL">Instituto Italiano de Tecnología.<o:p></o:p></span></i></b>
<br>
<b style="mso-bidi-font-weight: normal"><i
style="mso-bidi-font-style:normal"><span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL"><br>
TITULO<o:p></o:p></span></i></b> <br>
<b style="mso-bidi-font-weight: normal"><i
style="mso-bidi-font-style:normal"><span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL">Iterative regularization via a dual diagonal
descent method<o:p></o:p></span></i></b> <br>
<span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL"><o:p> </o:p></span> <br>
<b style="mso-bidi-font-weight: normal"><span
style="font-size:12.0pt;line-height:115%;font-family:
Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL"><span style="mso-spacerun:yes"> </span>Abstract:
<o:p></o:p></span></b> <br>
<span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL"><o:p> </o:p></span> <br>
<span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL"><span style="mso-spacerun:yes"> </span>In the
context of linear inverse problems, we propose and study<span
style="mso-spacerun:yes"> </span>general iterative
regularization method allowing to consider<span
style="mso-spacerun:yes"> </span>classes of regularizers and
data-fit terms.<o:p></o:p></span> <br>
<br>
<span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL"><span style="mso-spacerun:yes"> </span>The
algorithm we propose is based on a primal-dual diagonal descent<span
style="mso-spacerun:yes"> </span>method,
designed to solve hierarchical optimization problems.<o:p></o:p></span>
<br>
<br>
<span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL"><span style="mso-spacerun:yes"> </span>Our
analysis establishes convergence as well as stability results, in
presence of error in the data.<o:p></o:p></span> <br>
<br>
<span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL"><span style="mso-spacerun:yes"> </span>In this
noisy case, the number of iterations is shown to act as a<span
style="mso-spacerun:yes"> </span>regularization parameter,
which makes our algorithm an iterative regularization method.<o:p></o:p></span>
<br>
<span
style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL"><o:p> </o:p></span> <br>
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style="font-size:12.0pt;line-height:115%;font-family:Calibri;mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin"
lang="ES-CL">MIÉRCOLES 14 DE DICIEMBRE A LAS 16:30 HRS, SALA DE
SEMINARIOS JOHN VON NEUMANN CMM, BEAUCHEF 851, TORRE NORTE PISO 7
(ASCENSORES TORRE PONIENTE, PISO 7) <o:p></o:p></span><br>
<br>
Esperando contar con su presencia, les saluda, <br>
<br>
Ma. Inés Rivera <br>
<br>
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