Solving Inverse Problems with Deep Linear Neural Networks: Global Convergence Guarantees for Gradient Descent with Weight Decay
Laus, H
Parkinson, S
Charisopoulos, V
Krahmer, F
Willett, R
(21 Feb 2025)
https://arxiv.org/abs/2502.15522v3
ReLU Neural Networks with Linear Layers are Biased Towards Single- and Multi-Index Models
Parkinson, S
Ongie, G
Willett, R
(24 May 2023)
https://arxiv.org/abs/2305.15598v4
Depth Separation in Norm-Bounded Infinite-Width Neural Networks
Parkinson, S
Ongie, G
Willett, R
Shamir, O
Srebro, N
(13 Feb 2024)
https://arxiv.org/abs/2402.08808v1
A stabilization result for Z/2-harmonic 1-forms by constructing solutions on closed 3-manifolds with long cylindrical necks
Salm, W
(09 Oct 2024)
https://arxiv.org/abs/2410.07015v2
Search for Z/2 eigenfunctions on the sphere using machine learning
Haydys, A
Salm, W
(17 Jul 2025)
https://arxiv.org/abs/2507.13122v1
Prescribed Singular Sets for Z/2-Harmonic 1-Forms on R^n
Chen, J
He, S
Salm, W
(11 Sep 2026)
https://arxiv.org/abs/2609.13059v1
Elliptic analysis on collapsing gravitational instantons modelled using the Gibbons-Hawking ansatz
Salm, W
(21 Jun 2024)
https://arxiv.org/abs/2406.15008v1
Construction of gravitational instantons with non-maximal volume growth via codimension-1 collapse
Salm, W
(24 Jun 2024)
https://arxiv.org/abs/2406.16318v2
Metric perturbations and deformations of k-nondegenerate Z/2-harmonic 1-forms
He, S
Salm, W
(16 Mar 2026)
https://arxiv.org/abs/2603.14949v2
Deformation rigidity for Z/2 eigensections
Haydys, A
He, S
Salm, W
(18 Apr 2026)
https://arxiv.org/abs/2604.17044v1