Evidence map›Paper›PMID 39671709›Full record

ArticleChaos (Woodbury, N.Y.)2024

Training stiff neural ordinary differential equations with implicit single-step methods.

Colby Fronk, Linda Petzold

Abstract read
In one paragraph

Article in Chaos (Woodbury, N.Y.), 2024. 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
–field-weighted citation impact
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

2 authors.

Colby FronkDepartment of Chemical Engineering, University of California, Santa Barbara, Santa Barbara, California 93106, United States.ORCID 0000-0002-5943-1257
Linda PetzoldDepartment of Mechanical Engineering, University of California, Santa Barbara, Santa Barbara, California 93106, United States.ORCID 0000-0001-6251-6078

Funding

StochSS: A Next-Generation Toolkit for Simulation-Driven Biological DiscoveryR01EB014877 · NIBIB · UNIVERSITY OF CALIFORNIA SANTA BARBARA · PI PETZOLD, LINDA R. · 2012 to 2022
$3.9M
NIBIB NIH HHS R01 EB014877
6 · The paper itself

Abstract

Stiff systems of ordinary differential equations (ODEs) are pervasive in many science and engineering fields, yet standard neural ODE approaches struggle to learn them. This limitation is the main barrier to the widespread adoption of neural ODEs. In this paper, we propose an approach based on single-step implicit schemes to enable neural ODEs to handle stiffness and demonstrate that our implicit neural ODE method can learn stiff dynamics. This work addresses a key limitation in current neural ODE methods, paving the way for their use in a wider range of scientific problems.

Identifiers

PMID39671709
PMCPMC11646139

What OpenQuestion holds

Textmetadata
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Registered trials

None linked

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.