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Publications associées (33)
The Completion Of Covariance Kernels
Victor Panaretos, Kartik Waghmare
We consider the problem of positive-semidefinite continuation: extending a partially specified covariance kernel from a subdomain Omega of a rectangular domain I x I to a covariance kernel on the entire domain I x I. For a broad class of domains Omega call ...
INST MATHEMATICAL STATISTICS-IMS2022A Theory of Value for Service Ecosystems
In this thesis, we present a theory of value for the design and analysis of service ecosystems. The theory is based on general systems thinking. The concept of a system is used for relating knowledge from different disciplines (such as software engineering ...
EPFL2022Transferable machine-learning models of complex materials: the case of GaAs
Molecular simulations allow to investigate the behaviour of materials at the atomistic level, shedding light on phenomena that cannot be directly observed in experiments. Accurate results can be obtained with ab initio methods, while simulations of large-s ...
EPFL2021Free Boundary Regularity for Almost Every Solution to the Signorini Problem
We investigate the regularity of the free boundary for the Signorini problem in Rn+1. It is known that regular points are (n−1)-dimensional and C∞. However, even for C∞ obstacles φ, the set of non-regular (or degenerate) points could be very large—e.g. wit ...
2021Mean-Field Games And Swarms Dynamics In Gaussian And Non-Gaussian Environments
The collective behaviour of stochastic multi-agents swarms driven by Gaussian and non-Gaussian environments is analytically discussed in a mean-field approach. We first exogenously implement long range mutual interactions rules with strengths that are weig ...
AMER INST MATHEMATICAL SCIENCES-AIMS2020