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pro vyhledávání: '"Dan Edidin"'
We consider the finite alphabet phase retrieval problem: recovering a signal whose entries lie in a small alphabet of possible values from its Fourier magnitudes. This problem arises in the celebrated technology of X-ray crystallography to determine
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f43c99813d2e11d565f3cf59a432c97a
http://arxiv.org/abs/2301.10647
http://arxiv.org/abs/2301.10647
Publikováno v:
Applied and Computational Harmonic Analysis
Phase retrieval refers to recovering a signal from its Fourier magnitude. This problem arises naturally in many scientific applications, such as ultra-short laser pulse characterization and diffraction imaging. Unfortunately, phase retrieval is ill-p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20d8f1e3942814709ee0f1be3ea7d089
https://doi.org/10.1016/j.acha.2018.10.003
https://doi.org/10.1016/j.acha.2018.10.003
Autor:
Dan Edidin, Matthew Satriano
Publikováno v:
Transformation Groups. 25:1103-1124
We study the Fulton-Macpherson operational Chow rings of good moduli spaces of properly stable, smooth, Artin stacks. Such spaces are \'etale locally isomorphic to geometric invariant theory quotients of affine schemes, and are therefore natural exte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77a0ff422fe7cf3bc1829d666b6bda1a
https://doi.org/10.1007/s00031-020-09553-9
https://doi.org/10.1007/s00031-020-09553-9
Autor:
Dan Edidin, Ryan Richey
Publikováno v:
Mathematical Research Letters. 27:1645-1667
We study the Fulton-Macpherson Chow cohomology of affine toric varieties. In particular, we prove that the Chow cohomology vanishes in positive degree. We prove an analogous result for the operational $K$-theory defined by Anderson and Payne.
Co
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Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b22caf151c8a544f0b447813e0772449
https://doi.org/10.4310/mrl.2020.v27.n6.a3
https://doi.org/10.4310/mrl.2020.v27.n6.a3
Autor:
Tamir Bendory, Dan Edidin
The purpose of this article is to discuss recent advances in the growing field of phase retrieval, and to publicize open problems that we believe will be of interest to mathematicians in general, and algebraists in particular.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::359c685fba2cbca2402291eadf631e3d
Autor:
Dan Edidin, David Rydh
Publikováno v:
Duke Mathematical Journal. 170
We present a complete generalization of Kirwan's partial desingularization theorem on quotients of smooth varieties. Precisely, we prove that if $\mathcal{X}$ is an irreducible Artin stack with stable good moduli space $\mathcal{X} \to X$, then there
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df90fc07dff72f87640badacc911da39
https://doi.org/10.1215/00127094-2020-0050
https://doi.org/10.1215/00127094-2020-0050
We study the dihedral multi-reference alignment problem of estimating the orbit of a signal from multiple noisy observations of the signal, acted on by random elements of the dihedral group. We show that if the group elements are drawn from a generic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::221e520c99191a4f644c54603f709c5a
The q-th order spectrum is a polynomial of degree q in the entries of a signal x ∈ C N , which is invariant under circular shifts of the signal. For q ≥ 3 , this polynomial determines the signal uniquely, up to a circular shift, and is called a h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a75ac4efe72eb40a6114627f443a5fb7
Autor:
Tamir Bendory, Dan Edidin
Motivated by the X-ray crystallography technology to determine the atomic structure of biological molecules, we study the crystallographic phase retrieval problem, arguably the leading and hardest phase retrieval setup. This problem entails recoverin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::221959422544f273adf1ba5a56818cfd
http://arxiv.org/abs/2002.10081
http://arxiv.org/abs/2002.10081