Search Results for author: Simon Barthelme

Found 4 papers, 2 papers with code

Optimized Algorithms to Sample Determinantal Point Processes

2 code implementations23 Feb 2018 Nicolas Tremblay, Simon Barthelme, Pierre-Olivier Amblard

The standard sampling algorithm is separated in three phases: 1/~eigendecomposition of $\mathbf{L}$, 2/~an eigenvector sampling phase where $\mathbf{L}$'s eigenvectors are sampled independently via a Bernoulli variable parametrized by their associated eigenvalue, 3/~a Gram-Schmidt-type orthogonalisation procedure of the sampled eigenvectors.

Point Processes

Visualizing the Effects of a Changing Distance on Data Using Continuous Embeddings

1 code implementation8 Nov 2013 Gina Gruenhage, Manfred Opper, Simon Barthelme

The right scale is hard to pin down and it is preferable when results do not depend too tightly on the exact value one picked.

Clustering Dimensionality Reduction +1

Échantillonnage de signaux sur graphes via des processus déterminantaux

no code implementations7 Apr 2017 Nicolas Tremblay, Simon Barthelme, Pierre-Olivier Amblard

We consider the problem of sampling k-bandlimited graph signals, ie, linear combinations of the first k graph Fourier modes.

Point Processes

Variance Reduction for Inverse Trace Estimation via Random Spanning Forests

no code implementations15 Jun 2022 Yusuf Yigit Pilavci, Pierre-Olivier Amblard, Simon Barthelme, Nicolas Tremblay

The trace $\tr(q(\ma{L} + q\ma{I})^{-1})$, where $\ma{L}$ is a symmetric diagonally dominant matrix, is the quantity of interest in some machine learning problems.

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