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This DA attempts to find those stars in the cluster region that can generate the distribution more similar to the surrounding field regions, after N_memb stars were removed. The removed stars are then the best candidate cluster members.
The core of the DA is as follows:
cl_reg, fl_regs <-- Define a cluster region and `N_r` field regions
for fr in fl_regs:
# Use some optimization algorithm
while some_optimization_condition:
# Optimize the selection of cl_sel so that p_value is maximized. When this happens,
# we can not reject H0 which means both samples come from the same population.
cl_sel <-- select N_memb stars from cl_reg
cl_fr <-- remove cl_sel from cl_reg to create a 'clean' field region
p_value = compare (cl_fr, fr) using the ks_test (or some other ML method)
cl_sel_best <-- store the cl_sel that maximized the p_value
p_value_best <-- assign the maximum p_value found to this selection
cl_reg_mp <-- average all the p_value_best for stars in all the cl_sel_best
assigning 0. to stars not selected
This DA attempts to find those stars in the cluster region that can generate the distribution more similar to the surrounding field regions, after
N_memb
stars were removed. The removed stars are then the best candidate cluster members.The core of the DA is as follows:
Possible optimization method: https://stats.stackexchange.com/questions/27192/determine-a-subset-of-random-variables-that-are-most-correlated-with-the-whole?rq=1
SO question: https://stackoverflow.com/q/50879749/1391441
Explore greedy optimization methods and Greedy randomized adaptive search procedure.
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