Pith. sign in

REVIEW 2 cited by

Gradient Descent on Infinitely Wide Neural Networks: Global Convergence and Generalization

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2110.08084 v1 pith:7V4AYUTY submitted 2021-10-15 cs.LG math.OCmath.STstat.TH

classification cs.LGmath.OCmath.STstat.TH
keywords guaranteesnetworksneuralproblemsconvergencemanymodelsoptimization
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

Many supervised machine learning methods are naturally cast as optimization problems. For prediction models which are linear in their parameters, this often leads to convex problems for which many mathematical guarantees exist. Models which are non-linear in their parameters such as neural networks lead to non-convex optimization problems for which guarantees are harder to obtain. In this review paper, we consider two-layer neural networks with homogeneous activation functions where the number of hidden neurons tends to infinity, and show how qualitative convergence guarantees may be derived.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Ultra-fast feature learning for the training of two-layer neural networks in the two-timescale regime

    cs.LG 2025-04 conditional novelty 7.0 of 10

    In the teacher-student setting, variable-projection training of two-layer networks is shown to match a weighted ultra-fast diffusion in the zero-regularization limit, giving linear convergence of the learned feature d...

  2. Trajectory inference via Acceleration Matching

    cs.LG 2026-08 conditional novelty 6.0 of 10

    Acceleration Matching is a simulation-free, flow-matching-style algorithm for multi-marginal trajectory inference that regresses onto an explicit kinetic Brownian bridge acceleration field in phase space.

Pith tools