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Fix cabannes24a
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lawrennd committed Jun 30, 2024
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---
title: " The Galerkin method beats Graph-Based Approaches for Spectral Algorithms "
software: " https://github.com/VivienCabannes/laplacian "
abstract: " Historically, the machine learning community has derived spectral decompositions
title: "The Galerkin method beats Graph-Based Approaches for Spectral Algorithms"
software: https://github.com/VivienCabannes/laplacian
abstract: Historically, the machine learning community has derived spectral decompositions
from graph-based approaches. We break with this approach and prove the statistical
and computational superiority of the Galerkin method, which consists in restricting
the study to a small set of test functions. In particular, we introduce implementation
tricks to deal with differential operators in large dimensions with structured kernels.
Finally, we extend on the core principles beyond our approach to apply them to non-linear
spaces of functions, such as the ones parameterized by deep neural networks, through
loss-based optimization procedures. "
loss-based optimization procedures."
layout: inproceedings
series: Proceedings of Machine Learning Research
publisher: PMLR
issn: 2640-3498
id: a-cabannnes24a
id: cabannnes24a
month: 0
tex_title: " The {G}alerkin method beats Graph-Based Approaches for Spectral Algorithms "
tex_title: "The {G}alerkin method beats Graph-Based Approaches for Spectral Algorithms"
firstpage: 451
lastpage: 459
page: 451-459
order: 451
cycles: false
bibtex_author: A Cabannnes, Vivien and Bach, Francis
author:
- given: Vivien
family: A Cabannnes
- given: Vivien A.
family: Cabannnes
- given: Francis
family: Bach
date: 2024-04-18
Expand All @@ -38,7 +38,7 @@ issued:
- 2024
- 4
- 18
pdf: https://proceedings.mlr.press/v238/a-cabannnes24a/a-cabannnes24a.pdf
pdf: https://proceedings.mlr.press/v238/cabannnes24a/cabannnes24a.pdf
extras: []
# Format based on Martin Fenner's citeproc: https://blog.front-matter.io/posts/citeproc-yaml-for-bibliographies/
---

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