This is a working directory for collaboration on the Observing Dark Worlds competition on Kaggle (this competition is no longer active) which can be found at : https://www.kaggle.com/c/DarkWorlds/overview/description

There are 120 Skies in the test set, each sky contains galaxies each of which have an (x, y) coordinate between 0 and 4200 with (0, 0) being the bottom left corner.

GOAL: predict the location of the halos (x, y) coordinates

Ellipticity: e1 : elongation along (x, y) axis positive represents horizontal negative represents vertical

e2 : elongation along the 45 or 135 degree axis positive is 45 degrees negative is 135 degrees

Ellipticity of point (x,y) relative to (x',y') :

et = -(e1 cos(2phi) + e2 sin(2phi))

phi = arctan((y-y')/(x-x'))

Evaluating results : method provided in DarkWorldsMetric.py

m = F/1000 + G

F = lowest sum of radial distances (in cases of multiple halos you get the lowest)
G = SQRT[ (1/N)SUM(cos(phi)) + (1/N)SUM(sin(phi)) ]  -> they supply a reference point in the files and more information can be found at the evaluation page.

Submission : format CSV must have 7 columns SkyId, x_halo1, y_halo1, x_halo2, y_halo2, x_halo3, y_halo3 0.0 is the default value if there are less than 3 halos