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1. Made heavy or weighted down with weariness
   "weighted eyelids";
   - leaden
    
2. Adjusted to reflect value or proportion
   "votes weighted according to the size of constituencies"; "a law weighted in favour of landlords"; "a weighted average"

1. Add a heavy load; increase the weight of a load
   - burden, burthen, weight down
    
2. Present with a bias
   - slant, angle
    
3. (mathematics) assign weights to individual terms or statistics

Sounds like:

See also: adjusted, heavy

Type of: bias, charge, predetermine

Encyclopedia: Weighted Weighted, directed graph