Concept
Compact space
Related publications (146)
On distributional autoregression and iterated transportation
Victor Panaretos, Laya Ghodrati
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
Edoardo Charbon, Pasquale Scarlino, Fabrizio Minganti, Simone Frasca, Marco Scigliuzzo, Vincent Jean Yves Jouanny, Fabian Oppliger, Roberto Musio
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 ...
EPFL2023Improving the use of the housing stock to reduce its environmental impact
In the future, the existing housing stock should be improved while less new dwellings are built. This improvement will take the form of energy-efficient renovation as well as by encouraging cohabitation and reducing the amount of living space occupied per ...
Swiss National Science Foundation2023A type I conjecture and boundary representations of hyperbolic groups
We establish new results on the weak containment of quasi-regular and Koopman representations of a second countable locally compact group G associated with nonsingular G-spaces. We deduce that any two boundary representations of a hyperbolic locally ...
WILEY2023Compact, 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 ...
EPFL2022Geometric Percolation of Spherically Symmetric Fractal Aggregates
The connectedness percolation threshold (phi(c)) for spherically symmetric, randomly distributed fractal aggregates is investigated as a function of the fractal dimension (d(F)) of the aggregates through a mean-field approach. A pair of aggregates (each of ...
SPRINGER2022Collapse-invariant properties of spaces equipped with signals or directions
Collapsing cell complexes was first introduced in the 1930's as a way to deform a space into a topological-equivalent subspace with a sequence of elementary moves. Recently, discrete Morse theory techniques provided an efficient way to construct deformatio ...
EPFL2022