13 citations · 44 across the 6 of their papers we have counts for
6 papers
Automated transport separation using the neural shifted proper orthogonal decomposition
Beata Zorawski, Shubhaditya Burela, Philipp Krah +2
This paper presents a neural network-based methodology for the decomposition of transport-dominated fields using the shifted proper orthogonal decomposition (sPOD). Classical sPOD…
A robust shifted proper orthogonal decomposition: Proximal methods for decomposing flows with multiple transports
Philipp Krah, Arthur Marmin, Beata Zorawski +2
We present a new methodology for decomposing flows with multiple transports that further extends the shifted proper orthogonal decomposition (sPOD). The sPOD tries to approximate t…
Majorization-minimization for Sparse Nonnegative Matrix Factorization with the -divergence
Arthur Marmin, José Henrique de Morais Goulart, Cédric Févotte
This article introduces new multiplicative updates for nonnegative matrix factorization with the -divergence and sparse regularization of one of the two factors (say, the activa…
Joint Majorization-Minimization for Nonnegative Matrix Factorization with the -divergence
Arthur Marmin, José Henrique de Morais Goulart, Cédric Févotte
This article proposes new multiplicative updates for nonnegative matrix factorization (NMF) with the -divergence objective function. Our new updates are derived from a joint maj…
Sparse Signal Reconstruction for Nonlinear Models via Piecewise Rational Optimization
Arthur Marmin, Marc Castella, Jean-Christophe Pesquet +1
We propose a method to reconstruct sparse signals degraded by a nonlinear distortion and acquired at a limited sampling rate. Our method formulates the reconstruction problem as a…
Rational Optimization for Nonlinear Reconstruction with Approximate Penalization
Marc Castella, Jean-Christophe Pesquet, Arthur Marmin
Recovering nonlinearly degraded signal in the presence of noise is a challenging problem. In this work, this problem is tackled by minimizing the sum of a non convex least-squares…