2019
DOI: 10.1109/access.2019.2941088
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Learning Traffic Flow Dynamics Using Random Fields

Abstract: This paper presents a mesoscopic traffic flow model that explicitly describes the spatio-temporal evolution of the probability distributions of vehicle trajectories. The dynamics are represented by a sequence of factor graphs, which enable learning of traffic dynamics from limited Lagrangian measurements using an efficient message passing technique. The approach ensures that estimated speeds and traffic densities are non-negative with probability one. The estimation technique is tested using vehicle trajectory… Show more

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Cited by 20 publications
(13 citation statements)
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“…3). This partially explains why the spatial distribution of probe vehicles along a road section can affect state estimation accuracy [34], [35]. The output of the down-sampling Sparse input trajectory Before sub-sampling After sub-sampling…”
Section: B Representation Of Speed Reconstruction Modelmentioning
confidence: 99%
“…3). This partially explains why the spatial distribution of probe vehicles along a road section can affect state estimation accuracy [34], [35]. The output of the down-sampling Sparse input trajectory Before sub-sampling After sub-sampling…”
Section: B Representation Of Speed Reconstruction Modelmentioning
confidence: 99%
“…Hence, when the CV penetration rate is low, we have a higher probability of having no CVs right before the stop line. This is why we see more sudden changes in Figure 2 It is worth mentioning that there also exist many other sophisticated queue length/size estimation and traffic state estimation methods in the literature [31][32][33][34][35][36][37]. We chose [30] here because of its simplicity and its ability to estimate the traffic state along the entire length of the road (not just the segment with queued vehicles near the stop line) under both light and heavy traffic conditions.…”
Section: Estimate Speedmentioning
confidence: 99%
“…To incorporate the flow conservation constraints in the super-graph, we first introduce non-negative slack variables, denoted by s t i for each cell i, which represents the number of vehicles in cell i that do not advance to neighboring cell j during t. Hence, they are bounded from above by the maximum occupancy of cell i: (17) and the flow restrictions (7) becomes an equality:…”
Section: B Super Graph: a Static Representation Of Traffic Dynamicsmentioning
confidence: 99%
“…In summary the network dynamics can be represented by a system of mass balance equations along with capacity constraints (8), (17), and (21).…”
Section: B Super Graph: a Static Representation Of Traffic Dynamicsmentioning
confidence: 99%
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