Search Results for author: Quentin Duchemin

Found 5 papers, 3 papers with code

Cramér-Rao bound-informed training of neural networks for quantitative MRI

1 code implementation22 Sep 2021 Xiaoxia Zhang, Quentin Duchemin, Kangning Liu, Sebastian Flassbeck, Cem Gultekin, Carlos Fernandez-Granda, Jakob Assländer

We find, however, that in heterogeneous parameter spaces, i. e. in spaces in which the variance of the estimated parameters varies considerably, good performance is hard to achieve and requires arduous tweaking of the loss function, hyper parameters, and the distribution of the training data in parameter space.

Magnetic Resonance Fingerprinting

Three rates of convergence or separation via U-statistics in a dependent framework

no code implementations24 Jun 2021 Quentin Duchemin, Yohann de Castro, Claire Lacour

Despite the ubiquity of U-statistics in modern Probability and Statistics, their non-asymptotic analysis in a dependent framework may have been overlooked.

Concentration inequality for U-statistics of order two for uniformly ergodic Markov chains

1 code implementation20 Nov 2020 Quentin Duchemin, Yohann de Castro, Claire Lacour

We prove a new concentration inequality for U-statistics of order two for uniformly ergodic Markov chains.

Markov Random Geometric Graph (MRGG): A Growth Model for Temporal Dynamic Networks

no code implementations12 Jun 2020 Quentin Duchemin, Yohann de Castro

It is based on a Markovian latent space dynamic: consecutive latent points are sampled on the Euclidean Sphere using an unknown Markov kernel; and two nodes are connected with a probability depending on a unknown function of their latent geodesic distance.

Link Prediction

Reliable Time Prediction in the Markov Stochastic Block Model

1 code implementation9 Apr 2020 Quentin Duchemin

We introduce the Markov Stochastic Block Model (MSBM): an extension of the Stochastic Block Model where communities of the nodes are assigned through a Markovian dynamic.

Collaborative Filtering Community Detection +3

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