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Enhancement of extended depth of field by digital focusing

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Remarks on the derived center of small quantum groups

Anna Lachowska

Let u(q)(g) be the small quantum group associated with a complex semisimple Lie algebra g and a primitive root of unity q, satisfying certain restrictions. We establish the equivalence between three different actions of g on the center of u(q)(g) and on th ...

SPRINGER INTERNATIONAL PUBLISHING AG2021

Fourier Sampling in Signal Processing and Numerical Linear Algebra

Amir Zandieh

This thesis focuses on developing efficient algorithmic tools for processing large datasets. In many modern data analysis tasks, the sheer volume of available datasets far outstrips our abilities to process them. This scenario commonly arises in tasks incl ...

EPFL2020

Replicated state machines without replicated execution

Kirill Nikitin

This paper introduces a new approach to reduce end-to-end costs in large-scale replicated systems built under a Byzantine fault model. Specifically, our approach transforms a given replicated state machine (RSM) to another RSM where nodes incur lower costs ...

IEEE2020

Orb5: A global electromagnetic gyrokinetic code using the PIC approach in toroidal geometry

Laurent Villard, Stephan Brunner, Emmanuel Lanti, Alberto Bottino, Sébastien Jolliet, Ben McMillan, Paolo Angelino, Julien Stanislas Pierre Dominski, Thibaut Vernay, Noé Thomas Elie Ohana, Claudio Gheller, Aaron Lewis Scheinberg

This paper presents the current state of the global gyrokinetic code Orb5 as an update of the previous reference (Jolliet et al., 2007). The Orb5 code solves the electromagnetic Vlasov–Maxwell system of equations using a PIC scheme and also includes collis ...

2019

Fourier interpolation on the real line

Maryna Viazovska

In this paper we construct an explicit interpolation formula for Schwartz functions on the real line. The formula expresses the value of a function at any given point in terms of the values of the function and its Fourier transform on the set {0,+/- 1,+/- ...

2019

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The characterization of solid oxide cells (SOCs) relies mainly on direct-current (DC) and alternating-current (AC) methods that provide only average surface electro-chemical responses. As such, the spatial distribution is not well captured and the complexi ...

2019

The additive hazard estimator is consistent for continuous-time marginal structural models

Mats Julius Stensrud, Pal Christie Ryalen

Marginal structural models (MSMs) allow for causal analysis of longitudinal data. The standard MSM is based on discrete time models, but the continuous-time MSM is a conceptually appealing alternative for survival analysis. In applied analyses, it is often ...

2019

Short spatial resolutions retrieval from a long pulse BOTDA trace

Luc Thévenaz, Zhisheng Yang, Simon Adrien Zaslawski, Sheng Wang

A novel technique is proposed to obtain a flexible and variable spatial resolution from a conventional Brillouin optical time-domain analyzers using a fast post-processing algorithm. The approach is very attractive since a fine spatial resolution can be ob ...

SPIE2019

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In a variety of fields, in particular those involving imaging and optics, we often measure signals whose phase is missing or has been irremediably distorted. Phase retrieval attempts to recover the phase information of a signal from the magnitude of its Fo ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2018

Sampling the Multiple Facets of Light

Gilles Baechler

The theme of this thesis revolves around three important manifestations of light, namely its corpuscular, wave and electromagnetic nature. Our goal is to exploit these principles to analyze, design and build imaging modalities by developing new signal proc ...

EPFL2018