Search Results for author: Luca Ganassali

Found 8 papers, 2 papers with code

The graph alignment problem: fundamental limits and efficient algorithms

no code implementations18 Apr 2024 Luca Ganassali

This thesis studies the graph alignment problem, the noisy version of the graph isomorphism problem, which aims to find a matching between the nodes of two graphs which preserves most of the edges.

On sample complexity of conditional independence testing with Von Mises estimator with application to causal discovery

no code implementations20 Oct 2023 Fateme Jamshidi, Luca Ganassali, Negar Kiyavash

This, in turn, allows us to characterize the sample complexity of any constraint-based causal discovery algorithm that uses VM-CI for CI tests.

Causal Discovery

Learning Causal Graphs via Monotone Triangular Transport Maps

no code implementations26 May 2023 Sina Akbari, Luca Ganassali

We study the problem of causal structure learning from data using optimal transport (OT).

Causal Discovery

Statistical limits of correlation detection in trees

no code implementations27 Sep 2022 Luca Ganassali, Laurent Massoulié, Guilhem Semerjian

In this paper we address the problem of testing whether two observed trees $(t, t')$ are sampled either independently or from a joint distribution under which they are correlated.

SiMCa: Sinkhorn Matrix Factorization with Capacity Constraints

1 code implementation18 Mar 2022 Eric Daoud, Luca Ganassali, Antoine Baker, Marc Lelarge

In these applications, there is somewhat of an asymmetry between users and items: items are viewed as static points, their embeddings, capacities and locations constraining the allocation.

Correlation detection in trees for planted graph alignment

1 code implementation15 Jul 2021 Luca Ganassali, Laurent Massoulié, Marc Lelarge

We then conjecture that graph alignment is not feasible in polynomial time when the associated tree detection problem is impossible.

Impossibility of Partial Recovery in the Graph Alignment Problem

no code implementations4 Feb 2021 Luca Ganassali, Laurent Massoulié, Marc Lelarge

Random graph alignment refers to recovering the underlying vertex correspondence between two random graphs with correlated edges.

Sharp threshold for alignment of graph databases with Gaussian weights

no code implementations30 Oct 2020 Luca Ganassali

We study the fundamental limits for reconstruction in weighted graph (or matrix) database alignment.

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