Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invertibility and Robustness of Phaseless Reconstruction   This paper is concerned with the question of reconstructing a vector in a
finite-dimensional real Hilbert space when only the magnitudes of the
coefficients of the vector under a redundant linear map are known. We analyze
various Lipschitz bounds of the nonlinear analysis map and we establish
theoretical performance bounds of any reconstruction algorithm. We show that
robust and stable reconstruction requires additional redundancy than the
critical threshold.

25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom