Evidence map›Paper›PMID 42729583›Full record

ArticleApplied mathematics and optimization2026

Convergence Analysis of Controlled Particle Systems Arising in Deep Learning: From Finite to Infinite Sample Size.

Huafu Liao, Alpár R Mészáros, Chenchen Mou, Chao Zhou

Abstract read
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In one paragraph

Article in Applied mathematics and optimization, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
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1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Huafu LiaoSchool of Mathematical Sciences, Dalian University of Technology, Dalian, China.
Alpár R MészárosDepartment of Mathematical Sciences, University of Durham, Durham, UK.
Chenchen MouDepartment of Mathematics, City University of Hong Kong, Hong Kong, China.
Chao ZhouDepartment of Mathematics, National University of Singapore, Clementi, Singapore.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

This paper deals with a class of neural SDEs and studies the limiting behavior of the associated sampled optimal control problems as the sample size grows to infinity. The neural SDEs with

Indexed as

Mean field controlMean field optimizationNeural networksPropagation of chaos

Identifiers

PMID42729583
PMCPMC13562330

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.