267 citations · 556 across the 14 of their papers we have counts for
18 papers
Uncertainty Quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball
Hamed Hamze Bajgiran, Pau Batlle Franch, Houman Owhadi +5
There are essentially three kinds of approaches to Uncertainty Quantification (UQ): (A) robust optimization, (B) Bayesian, (C) decision theory. Although (A) is robust, it is unfavo…
Kernel Mode Decomposition and programmable/interpretable regression networks
Houman Owhadi, Clint Scovel, Gene Ryan Yoo
Mode decomposition is a prototypical pattern recognition problem that can be addressed from the (a priori distinct) perspectives of numerical approximation, statistical inference a…
Universal Scalable Robust Solvers from Computational Information Games and fast eigenspace adapted Multiresolution Analysis
Houman Owhadi, Clint Scovel
We show how the discovery of robust scalable numerical solvers for arbitrary bounded linear operators can be automated as a Game Theory problem by reformulating the process of comp…
Towards Machine Wald
Houman Owhadi, Clint Scovel
The past century has seen a steady increase in the need of estimating and predicting complex systems and making (possibly critical) decisions with limited information. Although com…
Separability of reproducing kernel spaces
Houman Owhadi, Clint Scovel
We demonstrate that a reproducing kernel Hilbert or Banach space of functions on a separable absolute Borel space or an analytic subset of a Polish space is separable if it possess…
Conditioning Gaussian measure on Hilbert space
Houman Owhadi, Clint Scovel
For a Gaussian measure on a separable Hilbert space with covariance operator , we show that the family of conditional measures associated with conditioning on a closed subspace…