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BONA FIDE RIESZ PROJECTIONS FOR DENSITY ESTIMATION

Pol del Aguila Pla, Michael Unser

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    Length: 00:14:16
10 May 2022

The projection of sample measurements onto a reconstruction space represented by a basis on a regular grid is a powerful and simple approach to estimate a probability density function. In this paper, we focus on Riesz bases and propose a projection operator that, in contrast to previous works, guarantees the bona fide properties for the estimate, namely, non-negativity and total probability mass 1. Our bona fide projection is defined as a convex problem. We propose solution techniques and evaluate them. Results suggest an improved performance, specifically in circumstances prone to rippling effects.

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    IEEE Members: $11.00
    Non-members: $15.00