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20092023
most citedA proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations

153 citations · 899 across the 45 of their papers we have counts for

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Showing 2016 · math.FAShow all

3 papers · 2 filters

math.FA2016★ 10 cited

Stable Phase Retrieval in Infinite Dimensions

Rima Alaifari, Ingrid Daubechies, Philipp Grohs +1

The problem of phase retrieval is to determine a signal , with a Hilbert space, from intensity measurements , where $F(ω):=\langle f , φ_ω\r…

math.FA2016

Phase retrieval in the general setting of continuous frames for Banach spaces

Rima Alaifari, Philipp Grohs

We develop a novel and unifying setting for phase retrieval problems that works in Banach spaces and for continuous frames and consider the questions of uniqueness and stability of…

math.FA2016

Reconstructing real-valued functions from unsigned coefficients with respect to wavelet and other frames

Rima Alaifari, Ingrid Daubechies, Philipp Grohs +1

In this paper we consider the following problem of phase retrieval: Given a collection of real-valued band-limited functions that consti…