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@@ -230,15 +230,17 @@ <h2>Monday the 13th</h2>
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</details>
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<br>
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<details>
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<summary><i>Manu Upadhyaya (Lund University)</i> - <strong>Tight Lyapunov function existence analysis for first-order
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methods </strong> </summary>
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We present a unifying framework for establishing linear convergence rates for first-order methods used
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to solve convex optimization problems. To accomplish this, we derive a necessary and sufficient
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condition for verifying the existence of a quadratic Lyapunov function for the algorithm and problem
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class under consideration. This allows us to produce tight convergence certificates for the setting
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at hand (i.e., producing worst-case certificates and matching worst-case examples).
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<summary><i>Yassine Kamri (UCLouvain)</i> - <strong>On the worst-case analysis of block coordinate-wise algorithms </strong> </summary>
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Block coordinate-wise algorithms are an essential class of first-order optimization methods widely used
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to solve large-scale optimization problems. However, their worst-case performance is still not well
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understood and their practical success has not yet been explained by existing convergence analyses.
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We analyze the worst-case behavior of cyclic versions of Block coordinate-wise algorithms in the
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context of unconstrained optimization of convex functions with coordinate-wise Lipschitz gradients.
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For this purpose, we rely on the recently proposed Performance Estimation Problem (PEP) and develop a
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new characterization for this class of function, from which we obtain necessary interpolation conditions.
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<br>
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This is joint work with Sebastian Banert, Adrien Taylor and Pontus Giselsson."
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In this paper, we present a unifying framework for the worst-case analysis of Block coordinate-wise
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algorithms, and in some situations, we are able to substantially outperform the best current bounds.
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</details>
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in the convex case are a particular case of our analysis. Finally, we identify the optimal constant
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step size that minimizes the worst-case of the gradient method applied to hypoconvex functions.
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</details>
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<br>
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<details>
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<summary><i>Yassine Kamri (UCLouvain)</i> - <strong>On the worst-case analysis of block coordinate-wise algorithms </strong> </summary>
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Block coordinate-wise algorithms are an essential class of first-order optimization methods widely used
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to solve large-scale optimization problems. However, their worst-case performance is still not well
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understood and their practical success has not yet been explained by existing convergence analyses.
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We analyze the worst-case behavior of cyclic versions of Block coordinate-wise algorithms in the
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context of unconstrained optimization of convex functions with coordinate-wise Lipschitz gradients.
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For this purpose, we rely on the recently proposed Performance Estimation Problem (PEP) and develop a
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new characterization for this class of function, from which we obtain necessary interpolation conditions.
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<br>
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In this paper, we present a unifying framework for the worst-case analysis of Block coordinate-wise
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algorithms, and in some situations, we are able to substantially outperform the best current bounds.
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</details>
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</td>
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</tr>
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</table>
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<table id="break 3">
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<td class="date" rowspan="3">
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10:15am
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9:50am
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</td>
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<td class="title">
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Break
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<table id="Shuvo">
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<tr>
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<td class="date" rowspan="3">
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10:30am
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10:10am
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<td class="title">
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Long Talk - Shuvomoy Das Gupta (MIT)
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<table id="break 4">
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<tr>
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11:30am
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11:10am
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<table id="Talks Session 4">
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<tr>
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<td class="date" rowspan="3">
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11:45am
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11:30am
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</td>
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Talks Session 4
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<table id="lunch 2">
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<tr>
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1:00pm
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12:45pm
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</td>
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Lunch
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2:00pm
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</td>
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Long Talk - Pontus Gisselson (Tilburg Uniersity) <addinfo> - part of <a href="https://uclouvain.be/en/research-institutes/icteam/inma/seminars.html" target="_blank">INMA Seminar series</a> </addinfo>
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Long Talk - Pontus Gisselson (Lund University) <addinfo> - part of <a href="https://uclouvain.be/en/research-institutes/icteam/inma/seminars.html" target="_blank">INMA Seminar series</a> </addinfo>
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</td>
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<td class="speaker">
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<details>
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<summary>Biography</summary>
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Pontus Giselsson is an Associate Professor at the Department of Automatic Control at Lund University,
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</tr>
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<td class="abstract">
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This is a joint work with Manu Updhyaya, Sebastian Banert and Adrien Taylor.
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<br>
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<strong>Tight Lyapunov function existence analysis for first-order methods </strong>
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<details>
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<summary>Abstract</summary>

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