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        <title>𝐶𝑎𝑟𝑎𝑚𝑖𝑧𝑎𝑟𝑢'𝑠 𝐵𝑙𝑜𝑔 feed:2024:03:31</title>
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            <title>𝐶𝑎𝑟𝑎𝑚𝑖𝑧𝑎𝑟𝑢'𝑠 𝐵𝑙𝑜𝑔</title>
            <link>https://blog.caramizaru.xyz/</link>
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            <title>Distributed Optimization via Alternating Direction Method of Multipliers</title>
            <link>https://blog.caramizaru.xyz/doku.php/feed:2024:03:31:distributed_optimization_via_alternating_direction_method_of_multipliers</link>
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&lt;h1 class=&quot;sectionedit3&quot; id=&quot;distributed_optimization_via_alternating_direction_method_of_multipliers&quot;&gt;Distributed Optimization via Alternating Direction Method of Multipliers&lt;/h1&gt;
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Problems in areas such as &lt;strong&gt;machine learning&lt;/strong&gt; and dynamic optimization on a large network lead to &lt;strong&gt;extremely large convex optimization problems&lt;/strong&gt;, with problem data stored in a decentralized way, and processing elements distributed across a network. We argue that the &lt;strong&gt;alternating direction method of multipliers&lt;/strong&gt; is well suited to such problems.  The method was developed in the 1970s, with roots in the 1950s, and is equivalent or closely related to many other algorithms, such as &lt;strong&gt;dual decomposition&lt;/strong&gt;, the &lt;strong&gt;method of multipliers&lt;/strong&gt;, &lt;strong&gt;Douglas-Rachford splitting&lt;/strong&gt;, &lt;strong&gt;Spingarn&amp;#039;s method of partial inverses&lt;/strong&gt;, &lt;strong&gt;Dykstra&amp;#039;s alternating projections&lt;/strong&gt;, &lt;strong&gt;Bregman iterative algorithms for $\ell_1$ problems&lt;/strong&gt;, &lt;strong&gt;proximal methods&lt;/strong&gt;, and others. After briefly surveying the theory and history of the algorithm, we discuss applications to statistical and machine learning problems such as the lasso and support vector machines, and to dynamic energy management problems arising in the smart grid.
&lt;/p&gt;
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            <author>anonymous@undisclosed.example.com (Anonymous)</author>
        <category>distributed-optimization</category>
        <category>admm</category>
        <category>optimization</category>
        <category>stephen-boyd</category>
        <category>microsoft-research</category>
        <category>2016</category>
            <pubDate>Sun, 31 Mar 2024 20:07:43 +0000</pubDate>
        </item>
        <item>
            <title>MIT Robotics - Dieter Fox - Toward Foundational Robot Manipulation Skills</title>
            <link>https://blog.caramizaru.xyz/doku.php/feed:2024:03:31:mit_robotics_-_dieter_fox_-_toward_foundational_robot_manipulation_skills</link>
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&lt;h1 class=&quot;sectionedit3&quot; id=&quot;mit_robotics_-_dieter_fox_-_toward_foundational_robot_manipulation_skills&quot;&gt;MIT Robotics - Dieter Fox - Toward Foundational Robot Manipulation Skills&lt;/h1&gt;
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</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
        <category>mit</category>
        <category>mit-robotics</category>
        <category>robotics</category>
        <category>dieter-fox</category>
        <category>robot</category>
        <category>manipulation</category>
        <category>2023</category>
            <pubDate>Sun, 31 Mar 2024 18:06:06 +0000</pubDate>
        </item>
        <item>
            <title>Princeton Robotics - Russ Tedrake - Dexterous Manipulation with Diffusion Policies</title>
            <link>https://blog.caramizaru.xyz/doku.php/feed:2024:03:31:princeton_robotics_-_russ_tedrake_-_dexterous_manipulation_with_diffusion_policies</link>
            <description>
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&lt;h1 class=&quot;sectionedit3&quot; id=&quot;princeton_robotics_-_russ_tedrake_-_dexterous_manipulation_with_diffusion_policies&quot;&gt;Princeton Robotics - Russ Tedrake - Dexterous Manipulation with Diffusion Policies&lt;/h1&gt;
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</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
        <category>princeton</category>
        <category>princeton-robotics</category>
        <category>robotics</category>
        <category>irom-lab</category>
        <category>russ-tedrake</category>
        <category>dexterous-manipulation</category>
        <category>diffusion-policies</category>
        <category>2023</category>
            <pubDate>Sun, 31 Mar 2024 14:47:41 +0000</pubDate>
        </item>
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