Valuable is the opposite of Garbage. you are likely to find Mouse in/at/on Garbage. 
you are likely to find Library in/at/on College. Library is a type of Collection. Collection is related to Crowd. Crowd is related to Popular. 
Valuable <--Antonym--> Garbage <--AtLocation-- Mouse 
College <--AtLocation-- Library --IsA--> Collection <--RelatedTo--> Crowd <--RelatedTo--> Popular 