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[website] spiral motion in joint space
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dtotsila committed Oct 20, 2024
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<meta property="og:title" content="Autonomous Neural Dynamic Policies (ANDPs) Paper Website" />
<meta property="og:description" content="Website of the paper " Sensorimotor Learning with Stability Guarantees via
Autonomous Neural Dynamic Policies"" />
<meta property="og:image"
content="https://nosalro.github.io/andps_website/static/images/concept_figure_banner.png" />
<meta property="og:image" content="https://nosalro.github.io/andps_website/static/images/concept_figure_banner.png" />

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<i class="ai ai-arxiv"></i>
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</section>
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<section class="hero is-small">
<div class="hero-body">
<div class="container">
<h2 class="title is-3">Supplementary Experiment: Learning a spiral motion in joint space</h2>
<p>In order to showcase that ANDPs can work with arbitrary state spaces
<sup><a href="#footnote1">1</a></sup>, we learn the spiral motion but this time in joint space (7 degrees of freedom), this means that <strong><i>x</i></strong><strong><i>x<sub>c</sub></i></strong> =
<span style="display:inline-block; vertical-align:middle;">
<table style="display:inline-table;">
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<td>θ<sub>0</sub></td>
<td>θ<sub>1</sub></td>
<td></td>
<td>θ<sub>6</sub></td>
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and the output is the desired velocity profile <strong><sub>c</sub></strong> that the joints should follow.
The data collection process of this experiment is similar to the one described above, with the only difference that this time on every timestep we collect the angle of every joint of the robot, as well as their corresponding angular velocities. The results showcase that we are able to learn the task even in the higher dimensional space of the joints.</p>

<hr>
<p id="footnote1"><sup>1</sup> Formally, we should require that the controllable part of the state forms a Euclidean space, which holds for the reduced coordinates system (joint space). The derivations and discussion on this topic are out of the scope of this paper, and will be discussed in future work.</p>

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Franka spiral movement reproductions of the joints with ANDPs model in joint-space.
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<img src="static/images/joint_space_res.jpg" alt="andps joint space" height="100%" />
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<video poster="" id="video2" autoplay controls muted loop style="width: 75%;">
<source src="static/videos/spiral_js_demo_fixed.mp4" type="video/mp4">
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<h2 class="subtitle has-text-centered" style="font-weight: bolder;">
Demonstration
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<video poster="" id="video3" autoplay controls muted loop style="width: 75%;">
<source src="static/videos/spiral_js_eval_fixed.mp4" type="video/mp4">
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<h2 class="subtitle has-text-centered" style="font-weight: bolder;">
Evaluation
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</div>
</div>

</section>



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</body>

</html>
</html>
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