scholarly journals High-dimensional change-point estimation: Combining filtering with convex optimization

2015 ◽  
Author(s):  
Yong Sheng Soh ◽  
Venkat Chandrasekaran
Keyword(s):  
Convex Optimization ◽  
Change Point ◽  
Dimensional Change ◽  
Point Estimation ◽  
High Dimensional ◽  
Change Point Estimation

scholarly journals Consistent and powerful graph-based change-point test for high-dimensional data

2017 ◽  
Vol 114 (15) ◽  
pp. 3873-3878 ◽  
Author(s):  
Xiaoping Shi ◽  
Yuehua Wu ◽  
Calyampudi Radhakrishna Rao
Keyword(s):  
Change Point ◽  
Hamiltonian Path ◽  
Point Estimation ◽  
Change Point Detection ◽  
High Dimensional ◽  
Simulation Studies ◽  
Change Point Estimation ◽  
Change Point Test ◽  
Point Test ◽  
Point Detection

A change-point detection is proposed by using a Bayesian-type statistic based on the shortest Hamiltonian path, and the change-point is estimated by using ratio cut. A permutation procedure is applied to approximate the significance of Bayesian-type statistics. The change-point test is proven to be consistent, and an error probability in change-point estimation is provided. The test is very powerful against alternatives with a shift in variance and is accurate in change-point estimation, as shown in simulation studies. Its applicability in tracking cell division is illustrated.

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