Web: http://arxiv.org/abs/2210.01919

Oct. 7, 2022, 1:13 a.m. | Shadi Haddad, Abhishek Halder

cs.LG updates on arXiv.org arxiv.org

We consider estimating a compact set from finite data by approximating the
support function of that set via sublinear regression. Support functions
uniquely characterize a compact set up to closure of convexification, and are
sublinear (convex as well as positive homogeneous of degree one). Conversely,
any sublinear function is the support function of a compact set. We leverage
this property to transcribe the task of learning a compact set to that of
learning its support function. We propose two algorithms …

application arxiv data data-driven regression

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