Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Rayan Saab"'
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
The learning speed of feed-forward neural networks is notoriously slow and has presented a bottleneck in deep learning applications for several decades. For instance, gradient-based learning algorithms, which are used extensively to train neural netw
Externí odkaz:
https://doaj.org/article/93aa007b2d714c50bbb289b0bfe02f4c
Publikováno v:
Applied and Computational Harmonic Analysis. 56:176-188
We study a geometric property related to spherical hyperplane tessellations in R d . We first consider a fixed x on the Euclidean sphere and tessellations with M ≫ d hyperplanes passing through the origin having normal vectors distributed according
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b44ea6a04ea11bde5156dc0d88537bf
https://doi.org/10.1016/j.acha.2021.08.005
https://doi.org/10.1016/j.acha.2021.08.005
Publikováno v:
Linear Algebra and its Applications. 626:79-151
Let ‖ A ‖ max : = max i , j | A i , j | denote the maximum magnitude of entries of a given matrix A. In this paper we show that max { ‖ U r ‖ max , ‖ V r ‖ max } ≤ ( C r ) 6 r N , where U r and V r are the matrices whose columns
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9370ae314e6bb949a573ac801d1e8f82
https://doi.org/10.1016/j.laa.2021.05.015
https://doi.org/10.1016/j.laa.2021.05.015
Autor:
Johannes Maly, Rayan Saab
In this short note, we propose a new method for quantizing the weights of a fully trained neural network. A simple deterministic pre-processing step allows us to quantize network layers via memoryless scalar quantization while preserving the network
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6865005d26a82632b42d766d080aea3
http://arxiv.org/abs/2209.03487
http://arxiv.org/abs/2209.03487
Autor:
Rayan Saab, Nada Sissouno, Frank Filbir, Wolfgang zu Castell, Mark A. Iwen, Florian Boßmann, Maik Kahnt, Christian G. Schroer
Publikováno v:
Math. Comput. Simul. 176, 292-300 (2020)
Measurements achieved with ptychographic imaging are a special case of diffraction measurements. They are generated by illuminating small parts of a sample with, e.g., a focused X-ray beam. By shifting the sample, a set of far-field diffraction patte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9e04ea037226dcc136a6a7031a312e1
https://doi.org/10.1016/j.matcom.2019.11.003
https://doi.org/10.1016/j.matcom.2019.11.003
Publikováno v:
Applied and Computational Harmonic Analysis. 48:415-444
We improve a phase retrieval approach that uses correlation-based measurements with compactly supported measurement masks [30] . Our approach admits deterministic measurement constructions together with a robust, fast recovery algorithm that consists
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3d8201daf4b8048dd3a3905b56ddd2b
https://doi.org/10.1016/j.acha.2018.06.004
https://doi.org/10.1016/j.acha.2018.06.004
Autor:
James Lee West, Andrew Nutting, Brock Daughtry, Andrew M. Frey, Clara T. Nicolas, Rayan Saab, David H. Sibley, Joshua Smith, Ronald Roan, Michael Crain
Publikováno v:
Journal of cardiac surgery. 37(7)
The role of extracorporeal membrane oxygenation (ECMO) for patients with refractory respiratory failure due to coronavirus 2019 (COVID-19) is still unclear even now over a year into the pandemic. ECMO is becoming more commonplace even at smaller comm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8e1abf7ff67709a497f77a3c64a3781
https://pubmed.ncbi.nlm.nih.gov/35438810
https://pubmed.ncbi.nlm.nih.gov/35438810
Publikováno v:
Applied and Computational Harmonic Analysis. 47:1014-1032
We provide the first analysis of a non-trivial quantization scheme for compressed sensing with structured measurements. We consider compressed sensing matrices consisting of rows selected randomly, without replacement, from a circulant matrix generat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::045890004918fa8e5bb5376cf5481600
https://doi.org/10.1016/j.acha.2019.03.004
https://doi.org/10.1016/j.acha.2019.03.004
Autor:
Brian Preskitt, Rayan Saab
Publikováno v:
Journal of Fourier Analysis and Applications. 27
We study an approach to solving the phase retrieval problem as it arises in a phase-less imaging modality known as ptychography. In ptychography, small overlapping sections of an unknown sample (or signal, say $$x_0\in \mathbb {C}^{d}$$ ) are illumin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7dfbe468e9cee0167dd015758d3bea66
https://doi.org/10.1007/s00041-021-09811-8
https://doi.org/10.1007/s00041-021-09811-8
Publikováno v:
Journal of Nuclear Cardiology. 25:443-456
Cardiac sarcoidosis has long been an evasive diagnosis with a spectrum of clinical presentations that extend from asymptomatic to ventricular arrhythmias and sudden cardiac death. The diagnosis has traditionally relied on histology which suffers from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b28db10aa3f0b13b1a2a8b54a608c85a
https://doi.org/10.1007/s12350-018-1217-8
https://doi.org/10.1007/s12350-018-1217-8