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Mathieu Luisier

3 accepted papers

2025

Learning the Electronic Hamiltonian of Large Atomic Structures

ICML 2025poster

Graph neural networks (GNNs) have shown promise in learning the ground-state electronic properties of materials, subverting *ab initio* density functional theory (DFT) calculations when the underlying lattices can be represented as small and/or repeatable unit cells (i.e., molecules and periodic cry…

Cited by 0SourcePDFScholar
2024

Invariant subspaces and PCA in nearly matrix multiplication time

NeurIPS 2024poster

Approximating invariant subspaces of generalized eigenvalue problems (GEPs) is a fundamental computational problem at the core of machine learning and scientific computing. It is, for example, the root of Principal Component Analysis (PCA) for dimensionality reduction, data visualization, and noise…

Cited by 2SourcePDFScholar
2022

Approximate Euclidean lengths and distances beyond Johnson-Lindenstrauss

NeurIPS 2022accept

A classical result of Johnson and Lindenstrauss states that a set of $n$ high dimensional data points can be projected down to $O(\log n/\epsilon^2)$ dimensions such that the square of their pairwise distances is preserved up to a small distortion $\epsilon\in(0,1)$. It has been proved that the JL l…