Concept

Polynomial regression

Related publications (144)

Hierarchical Penalization

Hierarchical penalization is a generic framework for incorporating prior information in the fitting of statistical models, when the explicative variables are organized in a hierarchical structure. The penalizer is a convex functional that performs soft sel ...

2007

Hierarchical Penalization

IDIAP2007

Recent progress on the development and analysis of the ITPA global H-mode confinement database

Yves Martin

This paper describes the updates to and analysis of the International Tokamak Physics Activity (ITPA) Global H-Mode Confinement Database version 3 (DB3) over the period 1994-2004. Global data, for the energy confinement time and its controlling parameters, ...

2007

Scaling of the energy confinement time with beta and collisionality approaching ITER conditions

Yves Martin

The condition of the latest version of the ELMy H-mode database has been re-examined. It is shown that there is bias in the ordinary least squares regression for some of the variables. To address these shortcomings three different techniques are employed: ...

2005

A new method for the inversion of interferometry data using basis functions derived from singular value decomposition of local measurements in tokamak plasmas

Ivo Furno, Henri Weisen, Roland Behn, Emiliano Fable

A novel method for inverting time-resolved line-integrated interferometric plasma density measurements is described. The method uses singular value decomposition of local density profiles from Thomson scattering measurements obtained at low sampling rates ...

2005

Identification of a Two-Input System: Variance Analysis

Dominique Bonvin, Alireza Karimi, Ljubisa Miskovic

This paper examines the identification of a single-output two-input system. Motivated by an experiment design problem(should one excite the two inputs simultaneously or separately), we examine the effect of the (second) input signal on the variance of the ...

2005

Cardinal Exponential Splines: Part I—Theory and Filtering Algorithms

Michaël Unser, Thierry Blu

Causal exponentials play a fundamental role in classical system theory. Starting from those elementary building blocks, we propose a complete and self-contained signal processing formulation of exponential splines defined on a uniform grid. We specify the ...

IEEE2005

Probabilistic Plane Fitting in 3D and an Application to Robotic Mapping

Roland Siegwart, Jan Weingarten

This paper presents a method for probabilistic plane fitting and an application to robotic 3D mapping. The plane is fitted in an orthogonal least-square sense and the output complies with the conventions of the Symmetries and Perturbation model (SPmodel). ...

2004

Local amplitude and phase retrieval method for digital holography applied to microscopy

Michaël Unser, Christian Depeursinge, Etienne Cuche, Michael Stefan Daniel Liebling, Thierry Blu, Pierre Marquet

We present a numerical two-step reconstruction procedure for digital off-axis Fresnel holograms. First, we retrieve the amplitude and phase of the object wave in the CCD plane. For each point we solve a weighted linear set of equations in the least-squares ...

SPIE2003

Local Amplitude and Phase Retrieval Method for Digital Holography Applied to Microscopy

Michaël Unser, Christian Depeursinge, Etienne Cuche, Thierry Blu, Pierre Marquet

SPIE2003

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.