Have you ever wondered how Google Maps computes the fastest way to reach a specific place? Or how the right locations for strategic facilities like hospitals or fire stations are determined?
These are problems with several possible solutions, among which the best one needs to be found. Sometimes, the number of possible solutions can be astronomically large, higher than the number of atoms in the universe. So how can an algorithm quickly find the best one?
The key to fast solutions and to fast algorithms is to find the right mathematical abstractions that can represent your data and to develop algorithms that operate on these abstractions. Such algorithms produce huge benefits for the whole society in terms of time management, costs and allocation of resources. The study of optimization algorithms is a source of fascination for those of us who have a passion for mathematics but also want to see the real-world impact of their studies. Watch Luca Trevisan and Laura Sanità.
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