2020
DOI: 10.1613/jair.1.11892
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Best-First Enumeration Based on Bounding Conflicts, and its Application to Large-scale Hybrid Estimation

Abstract: There is an increasing desire for autonomous systems to have high levels of robustness and safety, attained through continuously planning and self-repairing online. Underlying this is the need to accurately estimate the system state and diagnose subtle failures. Estimation methods based on hybrid discrete and continuous state models have emerged as a method of precisely computing these estimates. However, existing methods have difficulty scaling to systems with more than a handful of components. Discrete, cons… Show more

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Cited by 4 publications
(10 citation statements)
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References 26 publications
(35 reference statements)
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“…Furthermore, [13] models the hybrid system through a hybrid Bayesian network, and proposes a sampling-based approximation algorithm to track hybrid states. In parallel, [31], [12], [32], [33] model hybrid systems through a probabilistic hybrid automaton (PHA) [34] or a switching linear dynamical systems (SLDS) [35], and apply efficient pruning, search, and sampling methods to maintain reasonable estimation performance. Existing factored inference methods often assume a linear system to obtain closed-form or trackable solutions, and do not fully utilize the relevant context information.…”
Section: Related Workmentioning
confidence: 99%
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“…Furthermore, [13] models the hybrid system through a hybrid Bayesian network, and proposes a sampling-based approximation algorithm to track hybrid states. In parallel, [31], [12], [32], [33] model hybrid systems through a probabilistic hybrid automaton (PHA) [34] or a switching linear dynamical systems (SLDS) [35], and apply efficient pruning, search, and sampling methods to maintain reasonable estimation performance. Existing factored inference methods often assume a linear system to obtain closed-form or trackable solutions, and do not fully utilize the relevant context information.…”
Section: Related Workmentioning
confidence: 99%
“…2) Trajectory Sample Selection: We validate the effectiveness of our sample selection method, FPS, by comparing it with a few standard options, including i) a random sampler picking samples based on their weights, ii) a most-likely sampler that selects the top likely samples, similar to selecting the most-probable intent in [15] and best-k enumeration in [32], iii) a sampler based on non-maximum suppression (NMS), as used in [6], which selects samples greedily by finding the next sample that is distant enough from existing samples given a threshold. For a fair comparison, the distance measure in NMS is the same as FPS based on final locations, and we empirically choose 2 different distance thresholds (2 meters and 4 meters) to select the next sample.…”
Section: B Ablation Studymentioning
confidence: 99%
“…Our idea is to compute the likelihoods during the course of search over structures, and use what is learned from candidate structures to limit further evaluation to fewer structures. Our particular approach is based on the A*BC algorithm [136], which was introduced to incrementally improve a heuristic from evaluated candidates within hybrid estimation problems.…”
Section: Bounding Conflictsmentioning
confidence: 99%
“…We present a novel variant of A* with bounding conflicts [136] that substantially accelerates finding the optimal structural model. The algorithm uses a set of optimized likelihoods to place upper bounds on the likelihoods of other parent sets.…”
Section: Motivationmentioning
confidence: 99%
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