Publications related to Least-squares spectral analysis

Looking beyond Pixels

Sparse recovery is a powerful tool that plays a central role in many applications, including source estimation in radio astronomy, direction of arrival estimation in acoustics or radar, super-resolution microscopy, and X-ray crystallography. Conventional a ...

EPFL2018

Low Frequency Sound Field Reconstruction in Non-rectangular Room: A Numerical Validation

Hervé Lissek, Etienne Thierry Jean-Luc Rivet, Vu Thach Pham

Characterization of sound fields in rooms has always been a challenging task. A faithful reconstruction of sound fields in rooms generally would require an impractically high number of microphones. At low frequencies, where sound field can be modeled as a ...

2018

Methodology And Convergence Rates For Functional Time Series Regression

Victor Panaretos, Tung Huy Pham

The functional linear model extends the notion of linear regression to the case where the response and covariates are iid elements of an infinite-dimensional Hilbert space. The unknown to be estimated is a Hilbert-Schmidt operator, whose inverse is by defi ...

STATISTICA SINICA2018

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

Joachim Krieger

We show that the finite time type II blow up solutions for the energy critical nonlinear wave equation [ \Box u = -u^5 ] on

\mathbb{R}^{3+1}

constructed in [28], [27] are stable along a co-dimension three manifold of radial data perturbations in a suit ...

2018

Knee Implant Loosening Detection: A Vibration Analysis Investigation

Kamiar Aminian, Arash Arami, Hossein Rouhani

Knee implant loosening is mainly caused by the weakness of the prosthesis-bone interface and is the main reason for surgical revisions. However, pre-operative diagnosis is difficult due to lack of accurate tests. In this study, we developed a vibration-bas ...

Springer Verlag2018

Towards More Accurate Radio Telescope Images

Paul Hurley, Matthieu Martin Jean-André Simeoni, Nezihe Merve Gürel

Radio interferometry usually compensates for high levels of noise in sensor/antenna electronics by throwing data and energy at the problem: observe longer, then store and process it all. We propose instead a method to remove the noise explicitly before ima ...

IEEE2018

Spectral methods for multiscale stochastic differential equations

Assyr Abdulle, Grigorios A. Pavliotis

This paper presents a new method for the solution of multiscale stochastic differential equations at the diffusive time scale. In contrast to averaging-based methods, e.g., the heterogeneous multiscale method (HMM) or the equation-free method, which rely o ...

2017

Characterization of the tensile response of strain hardening UHPFRC - Chillon viaducts

Eugen Brühwiler, Emmanuel Denarié, Lionel Sofia

The tensile response (strength and deformability) of strain hardening UHPFRC needs to be characterized by adequate test and analysis methods. Inverse analysis methods that do not appropriately take into consideration the influence of the UHPFRC softening b ...

RILEM publications S.A.R.L.2017

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function

u

in multivariate polynomial spaces

P_\Lambda:=span\{y\mapsto y^\nu \,: \, \nu\in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma:=[-1,1]^d

, based on the s ...

2017

Inference for Generalized Linear Models via Alternating Directions and Bethe Free Energy Minimization

Ulugbek Kamilov

Generalized linear models, where a random vector x is observed through a noisy, possibly nonlinear, function of a linear transform z = A x, arise in a range of applications in nonlinear filtering and regression. Approximate message passing (AMP) methods, b ...

IEEE2017

Least-squares spectral analysis

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Looking beyond Pixels

Low Frequency Sound Field Reconstruction in Non-rectangular Room: A Numerical Validation

Methodology And Convergence Rates For Functional Time Series Regression

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

Knee Implant Loosening Detection: A Vibration Analysis Investigation

Towards More Accurate Radio Telescope Images

Spectral methods for multiscale stochastic differential equations

Characterization of the tensile response of strain hardening UHPFRC - Chillon viaducts

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Inference for Generalized Linear Models via Alternating Directions and Bethe Free Energy Minimization

Inference for Generalized Linear Models via Alternating Directions and Bethe Free Energy Minimization

Methodology And Convergence Rates For Functional Time Series Regression

Looking beyond Pixels

Knee Implant Loosening Detection: A Vibration Analysis Investigation

Characterization of the tensile response of strain hardening UHPFRC - Chillon viaducts

Low Frequency Sound Field Reconstruction in Non-rectangular Room: A Numerical Validation

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

Towards More Accurate Radio Telescope Images

Spectral methods for multiscale stochastic differential equations

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension