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Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function

u

in multivariate polynomial spaces

P_\Lambda:=span\{y\mapsto y^\nu \,: \, \nu\in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma:=[-1,1]^d

, based on the s ...

2017

Shapes from Pixels

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A Novel Method for Sampling Bandlimited Graph Signals

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High Dimensional Bayesian Optimization via Additive Models with Overlapping Groups

Assessment of water resource contamination by pesticides in vegetable-producing areas in Burkina Faso

Impedance-based real-time position sensor for lab-on-a-chip devices

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

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Sampling at unknown locations, with an application in surface retrieval

Sparse Gradient Optimization and its Applications in Image Processing

Sampling and Exact Reconstruction of Pulses with Variable Width

Sampling and Exact Reconstruction of Pulses with Variable Width

A Novel Method for Sampling Bandlimited Graph Signals

High Dimensional Bayesian Optimization via Additive Models with Overlapping Groups

Sampling at unknown locations: Uniqueness and reconstruction under constraints

Impedance-based real-time position sensor for lab-on-a-chip devices

Sparse Gradient Optimization and its Applications in Image Processing

Safe Adaptive Importance Sampling

Sampling at unknown locations, with an application in surface retrieval

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Assessment of water resource contamination by pesticides in vegetable-producing areas in Burkina Faso