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We suggest here a least-change correction to available finite element (FE) solution. This postprocessing procedure is aimed at recovering the monotonicity and some other important properties that may not be exhibited by the FE solution. Although our approach is presented for FEs, it admits natural extension to other numerical schemes, such as finite… (More)

In this talk we consider the isotonic regression (IR) problem which can be formulated as follows. Given a vector ¯ x ∈ R n , find x * ∈ R n which solves the problem: min x − ¯ x 2 s.t. M x ≥ 0. (1) The set of constraints M x ≥ 0 represents here the monotonicity relations of the form x i ≤ x j for a given set of pairs of the components of x. The… (More)

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