Concept
Locally compact space
Related publications (111)
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We consider the problem of defining and fitting models of autoregressive time series of probability distributions on a compact interval of Double-struck capital R. An order-1 autoregressive model in this context is to be understood as a Markov chain, where ...
Hoboken2024NbN films with high kinetic inductance for high-quality compact superconducting resonators
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Niobium nitride (NbN) is a particularly promising material for quantum technology applications, as it shows the degree of reproducibility necessary for large-scale superconducting circuits. We demonstrate that resonators based on NbN thin films present a o ...
2023Distributional Regression and Autoregression via Optimal Transport
We present a framework for performing regression when both covariate and response are probability distributions on a compact and convex subset of . Our regression model is based on the theory of optimal transport and links the conditional Fr'echet m ...
EPFL2023Compact, Spatial-mode-interaction-free, Ultralow-loss, Nonlinear photonic integrated circuits
Tobias Kippenberg, Rui Ning Wang, Xinru Ji, Zheru Qiu, Junqiu Liu, Jijun He
We implement Euler bends to build compact high-Q Si3N4 racetrack microresonators, featuring a small footprint of only 0.21 mm(2) for 19.8 GHz FSR. We demonstrate that these multi-mode microresonators can be operated in the single-mode regime and generate a ...
IEEE2022Localization errors of the stochastic heat equation
In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...
EPFL2022