Abstract: A method for determining the state of a system among a plurality of states, includes acquiring values of a reference physical quantity of the system corresponding to a plurality of points in an original space, each value being paired with one point of the plurality of points and with one state of the system; embedding a portion of the points in a representation space, the representation space being in bijection with a sub-variety of the original space, each point in the representation space being paired with one state; determining a pairing function that pairs any position of the original space with a position in the representation space; determining the position in the representation space of a point of the original space paired with an acquired value, and determining the state of the system from the position of the point paired with the acquired value in the representation space.