Evidence map›Paper›PMID 35327867›Full record

ArticleEntropy (Basel, Switzerland)2022

Variational Bayesian Inference for Nonlinear Hawkes Process with Gaussian Process Self-Effects.

Noa Malem-Shinitski, César Ojeda, Manfred Opper

Abstract read
In one paragraph

Article in Entropy (Basel, Switzerland), 2022. 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

3 authors.

Noa Malem-ShinitskiInstitute of Mathematics, University of Potsdam, 14476 Potsdam, Germany.ORCID 0000-0002-4848-4556
César OjedaArtificial Intelligence Group, Technische Universität Berlin, 10623 Berlin, Germany.
Manfred OpperArtificial Intelligence Group, Technische Universität Berlin, 10623 Berlin, Germany.

Funding

BIFOLD-Berlin Institute for the Foundations of Learning and Data ref. 01IS18025A and ref 01IS18037ADeutsche Forschungsgemeinschaft Project-ID 318763901 - SFB1294
6 · The paper itself

Abstract

Traditionally, Hawkes processes are used to model time-continuous point processes with history dependence. Here, we propose an extended model where the self-effects are of both excitatory and inhibitory types and follow a Gaussian Process. Whereas previous work either relies on a less flexible parameterization of the model, or requires a large amount of data, our formulation allows for both a flexible model and learning when data are scarce. We continue the line of work of Bayesian inference for Hawkes processes, and derive an inference algorithm by performing inference on an aggregated sum of Gaussian Processes. Approximate Bayesian inference is achieved via data augmentation, and we describe a mean-field variational inference approach to learn the model parameters. To demonstrate the flexibility of the model we apply our methodology on data from different domains and compare it to previously reported results.

Indexed as

Bayesian inferenceGaussian processpoint process

Identifiers

PMID35327867
PMCPMC8947061

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.