Posterior Sampling for Anytime Motion Planning on Graphs with Expensive-to-Evaluate Edges

By Brian Hou, Sanjiban Choudhury, Gilwoo Lee, Aditya Mandalika, Siddhartha S. Srinivasa. 2020

14 citations recorded by the source corpus.

Collision checking is a computational bottleneck in motion planning, requiring lazy algorithms that explicitly reason about when to perform this computation. Optimism in the face of collision uncertainty minimizes the number of checks before finding the shortest path. However, this may take a prohibitively long time to compute, with no other feasible paths discovered during this period. For many real-time applications, we instead demand strong anytime performance, defined as minimizing the cumulative lengths of the feasible paths yielded over time. We introduce Posterior Sampling for Motion Planning (PSMP), an anytime lazy motion planning algorithm that leverages learned posteriors on edge collisions to quickly discover an initial feasible path and progressively yield p shorter paths. PSMP obtains an expected regret bound of $\tilde O(\sqrt {\mathcal{S}\mathcal{A}T} )$ and outperforms comparative baselines on a set of 2D and 7D planning problems.

Subfields: Artificial Intelligence, Computer Vision and Pattern Recognition, Probabilistic & Bayesian Methods, Algorithms & Complexity

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In Artificial Intelligence

  1. Dhruv Batra
  2. Trevor Darrell
  3. Abhinav Kumar Gupta
  4. Jitendra Malik
  5. Vladlen Koltun
  6. Sergey Levine
  7. Kristen Grauman
  8. Ruslan Salakhutdinov

In Computer Vision and Pattern Recognition

  1. Dhruv Batra
  2. Jitendra Malik
  3. Luc Van Gool
  4. Abhinav Kumar Gupta
  5. Trevor Darrell
  6. Kristen Grauman
  7. Dacheng Tao
  8. Andrew Zisserman

In Probabilistic & Bayesian Methods

  1. Jitendra Malik
  2. Vladlen Koltun
  3. Zsolt Kira
  4. Dhruv Batra
  5. Mustafa Mukadam

In Algorithms & Complexity

  1. Jitendra Malik
  2. Vladlen Koltun
  3. Zsolt Kira
  4. Angel X. Chang
  5. F. Meier

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