Phase retrieval

I’ve got the power. / Like the crack of the whip/ I snap attack/ Front to back

January 16, 2017 — November 7, 2019

feature construction
Hilbert space
machine learning
model selection
neural nets
optimization

Suspiciously similar content

Figure 1

You know the power of the signal; what is the phase? Griffin-Lim algorithm, Wirtinger flow methods based on Wirtinger calculus, “phase-gradient heap integration” ().

Figure 2: Diagram from TiFGAN () via CJ.

TODO: investigate Yue M Lu’s work on phase retrieval as an important example in a large class of somewhat-analytically-understood nonconvex problems, starting from his recent slide deck on that theme.

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Figure 3

1 Griffin-Lim iteration

A classic.

Figure 4

2 References

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Candes, Emmanuel, Li, and Soltanolkotabi. 2015. “Phase Retrieval via Wirtinger Flow: Theory and Algorithms.” IEEE Transactions on Information Theory.
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