Concept
Real analysis
Related publications (152)
Transportation-based functional ANOVA and PCA for covariance operators
Victor Panaretos, Yoav Zemel, Valentina Masarotto
We consider the problem of comparing several samples of stochastic processes with respect to their second-order structure, and describing the main modes of variation in this second order structure, if present. These tasks can be seen as an Analysis of Vari ...
Inst Mathematical Statistics-Ims2024Homogenization results for the generator of multiscale Langevin dynamics in weighted Sobolev spaces
We study the homogenization of the Poisson equation with a reaction term and of the eigenvalue problem associated to the generator of multiscale Langevin dynamics. Our analysis extends the theory of two-scale convergence to the case of weighted Sobolev spa ...
OXFORD UNIV PRESS2023Distributed Lossy Computation with Structured Codes: From Discrete to Continuous Sources
Michael Christoph Gastpar, Sung Hoon Lim, Adriano Pastore, Chen Feng
This paper considers the problem of distributed lossy compression where the goal is to recover one or more linear combinations of the sources at the decoder, subject to distortion constraints. For certain configurations, it is known that codes with algebra ...
2023Determination of server location in emergency care systems: an index proposal using data envelopment analysis and the hypercube queuing model
The objective of this article is to propose a new composite index (CI) that helps to determine the most effective location of servers in an Emergency Care System (ECS), using Benefit of the Doubt (BoD)/Data Envelopment Analysis (DEA) and the Hypercube queu ...
London2023Stochastic derivative estimation for max-stable random fields
We consider expected performances based on max-stable random fields and we are interested in their derivatives with respect to the spatial dependence parameters of those fields. Max-stable fields, such as the Brown-Resnick and Smith fields, are very popula ...
ELSEVIER2022Development of a road bridge digital twin for simulating traffic loadings
The bridge over the Venoge, built in 1966 and extended in 1997, is a composite bridge located on the highway between Lausanne and Geneva. The aim of this thesis will be to develop a digital twin of this bridge, which consist of a digital representation as ...
2022Strictly Real Fundamental Theorem Of Algebra Using Polynomial Interlacing
Without resorting to complex numbers or any advanced topological arguments, we show that any real polynomial of degree greater than two always has a real quadratic polynomial factor, which is equivalent to the fundamental theorem of algebra. The proof uses ...
CAMBRIDGE UNIV PRESS2021SD-Pose: Semantic Decomposition for Cross-Domain 6D Object Pose Estimation
Mathieu Salzmann, Yinlin Hu, Zhigang Li
The current leading 6D object pose estimation methods rely heavily on annotated real data, which is highly costly to acquire. To overcome this, many works have proposed to introduce computer-generated synthetic data. However, bridging the gap between the s ...
ASSOC ADVANCEMENT ARTIFICIAL INTELLIGENCE2021A parabolic local problem with exponential decay of the resonance error for numerical homogenization
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
This paper aims at an accurate and efficient computation of effective quantities, e.g. the homogenized coefficients for approximating the solutions to partial differential equations with oscillatory coefficients. Typical multiscale methods are based on a m ...
WORLD SCIENTIFIC PUBL CO PTE LTD2021Advances in the Soil-Structure Interaction Analysis -- from Surface Footings to Thermoactive Deep Foundations
Mutual interactions between soil and foundation play a fundamental role in the overall behaviour of constructions. Therefore, it is not surprising that soil-structure interaction has been the subject of numerous research works. This doctoral thesis is a th ...
EPFL2021