Concept
Least-squares spectral analysis
Publications associées (295)
The spectral bias of polynomial neural networks
Volkan Cevher, Grigorios Chrysos, Leello Tadesse Dadi, Moulik Choraria
Polynomial neural networks (PNNs) have been recently shown to be particularly effective at image generation and face recognition, where high-frequency information is critical. Previous studies have revealed that neural networks demonstrate a spectral bias ...
2022In vivo magnetic resonance P-31-Spectral Analysis With Neural Networks: 31P-SPAWNN
Lijing Xin, François Lazeyras, Sébastien Courvoisier, Julien Songeon
Purpose: We have introduced an artificial intelligence framework, 31P-SPAWNN, in order to fully analyze phosphorus-31 (P-31) magnetic resonance spectra. The flexibility and speed of the technique rival traditional least-square fitting methods, with the per ...
WILEY2022Correlation between conduction velocity and frequency analysis in patients with atrial fibrillation using high-density charge mapping
Spectral analysis of atrial signals has been used to identify regions of interest in atrial fibrillation (AF). However, the relationship to the atrial substrate is unclear. In this study, we compare regions with dominant frequency (DF), simultaneously dete ...
SPRINGER HEIDELBERG2022Level statistics of the one-dimensional ionic Hubbard model
In this paper we analyze the spectral level statistics of the one-dimensional ionic Hubbard model, the Hubbard model with an alternating on-site potential. In particular, we focus on the statistics of the gap ratios between consecutive energy levels. This ...
2022Construction of optimal spectral methods in phase retrieval
Florent Gérard Krzakala, Lenka Zdeborová
We consider the phase retrieval problem, in which the observer wishes to recover a n-dimensional real or complex signal X⋆ from the (possibly noisy) observation of |ΦX⋆|, in which Φ is a matrix of size m×n. We consider a \emph{high-dimensional} setting whe ...
2021