Search Results for author: Maximilien Dreveton

Found 5 papers, 2 papers with code

Universal Lower Bounds and Optimal Rates: Achieving Minimax Clustering Error in Sub-Exponential Mixture Models

no code implementations23 Feb 2024 Maximilien Dreveton, Alperen Gözeten, Matthias Grossglauser, Patrick Thiran

In such mixtures, we establish that Bregman hard clustering, a variant of Lloyd's algorithm employing a Bregman divergence, is rate optimal.

Clustering

When Does Bottom-up Beat Top-down in Hierarchical Community Detection?

no code implementations1 Jun 2023 Maximilien Dreveton, Daichi Kuroda, Matthias Grossglauser, Patrick Thiran

We also establish that this bottom-up algorithm attains the information-theoretic threshold for exact recovery at intermediate levels of the hierarchy.

Clustering Community Detection +1

Higher-Order Spectral Clustering for Geometric Graphs

no code implementations23 Sep 2020 Konstantin Avrachenkov, Andrei Bobu, Maximilien Dreveton

While the standard spectral clustering is often not effective for geometric graphs, we present an effective generalization, which we call higher-order spectral clustering.

Clustering

Community recovery in non-binary and temporal stochastic block models

1 code implementation11 Aug 2020 Konstantin Avrachenkov, Maximilien Dreveton, Lasse Leskelä

This article studies the estimation of latent community memberships from pairwise interactions in a network of $N$ nodes, where the observed interactions can be of arbitrary type, including binary, categorical, and vector-valued, and not excluding even more general objects such as time series or spatial point patterns.

Stochastic Block Model Time Series +1

Almost exact recovery in noisy semi-supervised learning

1 code implementation29 Jul 2020 Konstantin Avrachenkov, Maximilien Dreveton

Graph-based semi-supervised learning methods combine the graph structure and labeled data to classify unlabeled data.

Clustering Community Detection +1

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