Evidence map›Paper›PMID 25501646›Full record

ArticleScientific reports2014

Detecting causality from nonlinear dynamics with short-term time series.

Huanfei Ma, Kazuyuki Aihara, Luonan Chen

Abstract read
In one paragraph

Article in Scientific reports, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 26 papers.

0numbers the graph read from it
0cells of the map it votes in
26citing 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

26 citing papers in PubMed.

  1. Advances in causal discovery methods for ecological time series.Biological reviews of the Cambridge Philosophical Society · 2026
    Review
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  15. DISCOVERING CAUSALITIES FROM CARDIOTOCOGRAPHY SIGNALS USING IMPROVED CONVERGENT CROSS MAPPING WITH GAUSSIAN PROCESSES.Proceedings of the ... IEEE International Conference on Acoustics, Speech, and Signal Processing. ICASSP (Conference) · 2020
    Article
  16. Article
  17. Detecting Causality using Deep Gaussian Processes.Conference record. Asilomar Conference on Signals, Systems & Computers · 2019
    Article
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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

3 authors.

Huanfei Ma1] School of Mathematical Sciences, Soochow University, China [2] Collaborative Research Center for Innovative Mathematical Modelling, Institute of Industrial Science, The University of Tokyo, Japan.
Kazuyuki AiharaCollaborative Research Center for Innovative Mathematical Modelling, Institute of Industrial Science, The University of Tokyo, Japan.
Luonan Chen1] Collaborative Research Center for Innovative Mathematical Modelling, Institute of Industrial Science, The University of Tokyo, Japan [2] Key Laboratory of Systems Biology, Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences, China.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Quantifying causality between variables from observed time series data is of great importance in various disciplines but also a challenging task, especially when the observed data are short. Unlike the conventional methods, we find it possible to detect causality only with very short time series data, based on embedding theory of an attractor for nonlinear dynamics. Specifically, we first show that measuring the smoothness of a cross map between two observed variables can be used to detect a causal relation. Then, we provide a very effective algorithm to computationally evaluate the smoothness of the cross map, or "Cross Map Smoothness" (CMS), and thus to infer the causality, which can achieve high accuracy even with very short time series data. Analysis of both mathematical models from various benchmarks and real data from biological systems validates our method.

Indexed as

AlgorithmsCausalityData Interpretation, StatisticalModels, TheoreticalNonlinear DynamicsComputer SimulationEscherichia coli ProteinsGene Regulatory NetworksSaccharomyces cerevisiae ProteinsTime FactorsEscherichia coli ProteinsSaccharomyces cerevisiae Proteins

Identifiers

PMID25501646
PMCPMC5376982

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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.