/usr/include/shogun/distance/ is in libshogun-dev 1.1.0-4ubuntu2.
This file is owned by root:root, with mode 0o755.
..
/usr/include/shogun/distance/AttenuatedEuclidianDistance.h
/usr/include/shogun/distance/BrayCurtisDistance.h
/usr/include/shogun/distance/CanberraMetric.h
/usr/include/shogun/distance/CanberraWordDistance.h
/usr/include/shogun/distance/ChebyshewMetric.h
/usr/include/shogun/distance/ChiSquareDistance.h
/usr/include/shogun/distance/CosineDistance.h
/usr/include/shogun/distance/CustomDistance.h
/usr/include/shogun/distance/Distance.h
/usr/include/shogun/distance/EuclidianDistance.h
/usr/include/shogun/distance/GeodesicMetric.h
/usr/include/shogun/distance/HammingWordDistance.h
/usr/include/shogun/distance/JensenMetric.h
/usr/include/shogun/distance/KernelDistance.h
/usr/include/shogun/distance/ManhattanMetric.h
/usr/include/shogun/distance/ManhattanWordDistance.h
/usr/include/shogun/distance/MinkowskiMetric.h
/usr/include/shogun/distance/RealDistance.h
/usr/include/shogun/distance/SimpleDistance.h
/usr/include/shogun/distance/SparseDistance.h
/usr/include/shogun/distance/SparseEuclidianDistance.h
/usr/include/shogun/distance/StringDistance.h
/usr/include/shogun/distance/TanimotoDistance.h