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Functional peaks-over-threshold analysis

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Functional data analysis by matrix completion

Marie-Hélène Descary

Traditional approaches to analysing functional data typically follow a two-step procedure, consisting in first smoothing and then carrying out a functional principal component analysis. The idea underlying this procedure is that functional data are well ap ...

EPFL2017

Verification by Reduction to Functional Programs

Régis William Blanc

In this thesis, we explore techniques for the development and verification of programs in a high-level, expressive, and safe programming language. Our programs can express problems over unbounded domains and over recursive and mutable data structures. We p ...

EPFL2017

A Study on the Programming Structures for RRAM-based FPGA Architectures

Giovanni De Micheli, Pierre-Emmanuel Julien Marc Gaillardon, Xifan Tang, Gain Kim

Field Programmable Gate Arrays (FPGAs) can benefit non-volatility and high-performance by exploiting Resistive Random Access Memories (RRAMs). In RRAM-based FPGAs, the memories do not only replace the SRAMs and store configurations, but they can also repla ...

Ieee-Inst Electrical Electronics Engineers Inc2016

On Deductive Program Repair in Leon

Viktor Kuncak, Etienne Kneuss

We present an approach to program repair and its application to programs with recursive functions over unbounded data types. Our approach formulates program repair in the framework of deductive synthesis that uses existing program structure as a hint to gu ...

2015

Deductive Program Repair, Computer Aided Verification

Viktor Kuncak, Etienne Kneuss

2015

Efficient inference for spatial extreme value processes associated to log-Gaussian random functions

Jonathan A. Tawn, Jennifer Lynne Wadsworth

Max-stable processes arise as the only possible nontrivial limits for maxima of affinely normalized identically distributed stochastic processes, and thus form an important class of models for the extreme values of spatial processes. Until recently, infere ...

Oxford University Press2014

Fourier Analysis of Functional Time Series, with Applications to DNA Dynamics

Shahin Tavakoli

This work is about time series of functional data (functional time series), and consists of three main parts. In the first part (Chapter 2), we develop a doubly spectral decomposition for functional time series that generalizes the Karhunen–Loève expansion ...

EPFL2014

Sparsity and Infinite Divisibility

Michaël Unser, Arash Amini

We adopt an innovation-driven framework and investigate the sparse/compressible distributions obtained by linearly measuring or expanding continuous-domain stochastic models. Starting from the first principles, we show that all such distributions are neces ...

2014

The Stationary Behaviour of Fluid Limits of Reversible Processes is Concentrated on Stationary Points

Jean-Yves Le Boudec

Assume that a stochastic process can be approximated, when some scale parameter gets large, by a fluid limit (also called mean field limit", or hydrodynamic limit"). A common practice, often called the ``fixed point approximation" consists in approxima ...

2013

A new representation for multivariate tail probabilities

Jonathan A. Tawn, Jennifer Lynne Wadsworth

Existing theory for multivariate extreme values focuses upon characterizations of the distributional tails when all components of a random vector, standardized to identical margins, grow at the same rate. In this paper, we consider the effect of allowing t ...

Bernoulli Society for Mathematical Statistics and Probability2013