Publications related to Extremal behavior of squared Bessel processes attracted by the Brown-Resnick process

Periodic Splines and Gaussian Processes for the Resolution of Linear Inverse Problems

Michaël Unser, Julien René Pierre Fageot, Anaïs Laure Marie-Thérèse Badoual

This paper deals with the resolution of inverse problems in a periodic setting or, in other terms, the reconstruction of periodic continuous-domain signals from their noisy measurements. We focus on two reconstruction paradigms: variational and statistical ...

2018

Azimuthal anisotropy of charged particles with transverse momentum up to 100 GeV/ c in PbPb collisions at $\sqrt {s}_{{NN}}$=5.02 TeV

Jian Wang, Matthias Finger, Lesya Shchutska, Qian Wang, Matthias Wolf, Varun Sharma, Konstantin Androsov, Jan Steggemann, Leonardo Cristella, Roberto Castello, Alessandro Degano, Mingkui Wang, Zhirui Xu, Chao Wang, João Miguel das Neves Duarte, Tagir Aushev, Tian Cheng, Yixing Chen, Werner Lustermann, Andromachi Tsirou, Alexis Kalogeropoulos, Andrea Rizzi, Ioannis Papadopoulos, Paolo Ronchese, Thomas Muller, Ho Ling Li, Giuseppe Codispoti, Hua Zhang, Siyuan Wang, Peter Hansen, Daniel Gonzalez, Tao Huang, David Vannerom, Ji Hyun Kim, Donghyun Kim, Dipanwita Dutta, Zheng Wang, Sanjeev Kumar, Wei Li, Yong Yang, Yi Wang, Ajay Kumar, Ashish Sharma, Georgios Anagnostou, Joao Varela, Csaba Hajdu, Muhammad Ahmad, Ekaterina Kuznetsova, Ioannis Evangelou, Matthias Weber, Muhammad Shoaib, Milos Dordevic, Vineet Kumar, Vladimir Petrov, Francesco Fiori, Quentin Python, Meng Xiao, Hao Liu, Sourav Sen, Viktor Khristenko, Marco Trovato, Gurpreet Singh, Fan Xia, Kai Yi, Bibhuprasad Mahakud, Lei Feng, Muhammad Waqas, Shuai Liu, Hui Wang, Seungkyu Ha, Davide Cieri, Maren Tabea Meinhard, Giorgia Rauco, Aram Avetisyan, Ali Harb, Benjamin William Allen, Alexandre Aubin, Xin Sun

The Fourier coefficients v2 and v3 characterizing the anisotropy of the azimuthal distribution of charged particles produced in PbPb collisions at sNN=5.02 TeV are measured with data collected by the CMS experiment. The measurements cover a broad transvers ...

2018

Generalized Pickands constants and stationary max-stable processes

Sebastian Engelke

Pickands constants play a crucial role in the asymptotic theory of Gaussian processes. They are commonly defined as the limits of a sequence of expectations involving fractional Brownian motions and, as such, their exact value is often unknown. Recently, D ...

Springer Verlag2017

Object Detection with Active Sample Harvesting

Olivier Canévet

The work presented in this dissertation lies in the domains of image classification, object detection, and machine learning. Whether it is training image classifiers or object detectors, the learning phase consists in finding an optimal boundary between po ...

EPFL2017

Object Detection with Active Sample Harvesting

Olivier Canévet

The work presented in this dissertation lies in the domains of image classification, object detection, and machine learning. Whether it is training image classifiers or object detectors, the learning phase consists in finding an optimal boundary between po ...

École Polytechnique Fédérale de Lausanne2017

Adaptive Image Resizing Based on Continuous-Domain Stochastic Modeling

Michaël Unser, John Paul Ward, Aurélien Bourquard, Hagay Kirshner

We introduce an adaptive continuous-domain modeling approach to texture and natural images. The continuous-domain image is assumed to be a smooth function, and we embed it in a parameterized Sobolev space. We point out a link between Sobolev spaces and sto ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Optimizing a remotely sensed proxy for plankton biomass in Lake Kivu

Andrea Rinaldo, Enrico Bertuzzo, Lorenzo Mari, Allyn Christine Knox

Many regions of the world, including inland lakes, present with suboptimal conditions for the remotely sensed retrieval of optical signals, thus challenging the limits of available satellite data-processing tools, such as atmospheric correction models (ACM ...

Taylor & Francis2014

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Michaël Unser, Julien René Pierre Fageot, Emrah Bostan

We study the statistics of wavelet coefficients of non-Gaussian images, focusing mainly on the behaviour at coarse scales. We assume that an image can be whitened by a fractional Laplacian operator, which is consistent with an

∥ω∥ ^{ -\gamma }

spectral ...

IEEE2014

On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

Michaël Unser, Julien René Pierre Fageot, Arash Amini

The characteristic functional is the infinite-dimensional generalization of the Fourier transform for measures on function spaces. It characterizes the statistical law of the associated stochastic process in the same way as a characteristic function specif ...

Springer Birkhauser2014

Approximate Message Passing With Consistent Parameter Estimation and Applications to Sparse Learning

Michaël Unser, Ulugbek Kamilov

We consider the estimation of an independent and identically distributed (i.i.d.) (possibly non-Gaussian) vector x is an element of R-n from measurements y is an element of R-m obtained by a general cascade model consisting of a known linear transform foll ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Extremal behavior of squared Bessel processes attracted by the Brown-Resnick process

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Periodic Splines and Gaussian Processes for the Resolution of Linear Inverse Problems

Azimuthal anisotropy of charged particles with transverse momentum up to 100 GeV/ c in PbPb collisions at $\sqrt {s}_{{NN}}$=5.02 TeV

Generalized Pickands constants and stationary max-stable processes

Object Detection with Active Sample Harvesting

Object Detection with Active Sample Harvesting

Adaptive Image Resizing Based on Continuous-Domain Stochastic Modeling

Optimizing a remotely sensed proxy for plankton biomass in Lake Kivu

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

Approximate Message Passing With Consistent Parameter Estimation and Applications to Sparse Learning

Object Detection with Active Sample Harvesting

Generalized Pickands constants and stationary max-stable processes

Adaptive Image Resizing Based on Continuous-Domain Stochastic Modeling

Object Detection with Active Sample Harvesting

Optimizing a remotely sensed proxy for plankton biomass in Lake Kivu

Approximate Message Passing With Consistent Parameter Estimation and Applications to Sparse Learning

Periodic Splines and Gaussian Processes for the Resolution of Linear Inverse Problems

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

Azimuthal anisotropy of charged particles with transverse momentum up to 100 GeV/ c in PbPb collisions at $\sqrt {s}_{{NN}}$=5.02 TeV