The Maximum Weight Independent Set Problem for Data Association in Multiple Hypothesis Tracking

Author(s):  
Dimitri J. Papageorgiou ◽  
Michael R. Salpukas
2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Jinping Sun ◽  
Qing Li ◽  
Xuwang Zhang ◽  
Wei Sun

The multiple hypothesis tracker (MHT) is currently the preferred method for addressing data association problem in multitarget tracking (MTT) application. MHT seeks the most likely global hypothesis by enumerating all possible associations over time, which is equal to calculating maximum a posteriori (MAP) estimate over the report data. Despite being a well-studied method, MHT remains challenging mostly because of the computational complexity of data association. In this paper, we describe an efficient method for solving the data association problem using graphical model approaches. The proposed method uses the graph representation to model the global hypothesis formation and subsequently applies an efficient message passing algorithm to obtain the MAP solution. Specifically, the graph representation of data association problem is formulated as a maximum weight independent set problem (MWISP), which translates the best global hypothesis formation into finding the maximum weight independent set on the graph. Then, a max-product belief propagation (MPBP) inference algorithm is applied to seek the most likely global hypotheses with the purpose of avoiding a brute force hypothesis enumeration procedure. The simulation results show that the proposed MPBP-MHT method can achieve better tracking performance than other algorithms in challenging tracking situations.


2021 ◽  
Vol 2 (4) ◽  
Author(s):  
Yuanyuan Dong ◽  
Andrew V. Goldberg ◽  
Alexander Noe ◽  
Nikos Parotsidis ◽  
Mauricio G. C. Resende ◽  
...  

AbstractWe present a set of new instances of the maximum weight independent set problem. These instances are derived from a real-world vehicle routing problem and are challenging to solve in part because of their large size. We present instances with up to 881 thousand nodes and 383 million edges.


2017 ◽  
Vol 60 ◽  
pp. 19-25 ◽  
Author(s):  
J. Mark Keil ◽  
Joseph S.B. Mitchell ◽  
Dinabandhu Pradhan ◽  
Martin Vatshelle

Networks ◽  
2005 ◽  
Vol 46 (4) ◽  
pp. 198-209 ◽  
Author(s):  
Deepak Warrier ◽  
Wilbert E. Wilhelm ◽  
Jeffrey S. Warren ◽  
Illya V. Hicks

2012 ◽  
Vol 30 (2) ◽  
pp. 395-410 ◽  
Author(s):  
Vadim V. Lozin ◽  
Martin Milanič ◽  
Christopher Purcell

2020 ◽  
Vol 34 (2) ◽  
pp. 1472-1483
Author(s):  
Maria Chudnovsky ◽  
Marcin Pilipczuk ◽  
Michał Pilipczuk ◽  
Stéphan Thomassé

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