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The Neural Hawkes Process: A Neurally Self-Modulating Multivariate Point Process

NeurIPS 2017 · Probabilistic and scientific modeling › Molecules and proteins · approach: Neural point-process models · 204 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace the additive Hawkes model with the neural Hawkes modelRetweets · Retweetsheld-out log-likelihoodHelped
Add the neural recurrent component to the decomposable self-modulating modelRetweets · Retweetsheld-out log-likelihoodHelped
Allow negative base rates and interaction weights with a positive transfer functionHawkes process · MemeTrackcross-entropy per event: -800 to -15Helped
Replace decomposable interactions with a neural recurrent stateD-SM-MPP · MemeTrackcross-entropy per event: -15 to around -8Helped
Fit the neural Hawkes model rather than Hawkes to censored event streamsHawkes process · Synthetic missing-data datasetsgeneralizationHelped
Use neural Hawkes rather than the comparison recurrent point-process modelPrediction model · Medical, social, and financial prediction datasetsevent type prediction error rateHelped
Use neural Hawkes rather than the comparison recurrent point-process modelPrediction model · Medical, social, and financial prediction datasetstime prediction RMSEMixed
Increase hidden units from 1 to 256 (ablation)Neural Hawkes · Retweetslog-likelihood: -6.51 -> -6.10Helped
Halve the number of hidden units (ablation)Neural Hawkes · Several datasetsheld-out log-likelihood: decreasing held-out log-likelihood by < 0.2% relativeNo clear effect

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