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add note about smooth parameterizations
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RussTedrake committed Dec 3, 2023
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Expand Up @@ -444,6 +444,16 @@ <h1><a href="index.html" style="text-decoration:none;">Underactuated Robotics</a

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<p>Solving the least-squares optimizations described here subject to
convex (semidefinite) constraints requires solving small semidefinite
programs. There has been some nice work on parameterizations which lead
to unconstrained, smooth, but nonconvex, optimization problems which can
be solved with e.g. gradient descent <elib>Rucker22</elib>. In some
cases, one can still guarantee that all local minima are global minima.
But my impression from talking to the authors is that numerics of the
semidefinite programming formulation can be notable better, and that it
should be preferred if SDP solvers are available.</p>

</subsection>

<subsection><h1>Simultaneous kinematic and inertial identification via
Expand Down Expand Up @@ -1529,6 +1539,12 @@ <h1><a href="index.html" style="text-decoration:none;">Underactuated Robotics</a
<span class="title">"Geometric robot dynamic identification: A convex programming approach"</span>,
<span class="publisher">IEEE Transactions on Robotics</span>, vol. 36, no. 2, pp. 348--365, <span class="year">2019</span>.

</li><br>
<li id=Rucker22>
<span class="author">Caleb Rucker and Patrick M Wensing</span>,
<span class="title">"Smooth parameterization of rigid-body inertia"</span>,
<span class="publisher">IEEE Robotics and Automation Letters</span>, vol. 7, no. 2, pp. 2771--2778, <span class="year">2022</span>.

</li><br>
<li id=Gautier97>
<span class="author">Maxime Gautier</span>,
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