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Markov Modulated Gaussian Cox Processes for Semi-Stationary Intensity Modeling of Events Data

ICML 2018 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Sparse variational Gaussian processes · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace stationary/non-stationary Cox models with semi-stationary MMGCP (Markov-modulated GP intensities)Cox process intensity model · Synthetic Semi-Stnaverage test log-likelihood: MMGCP −87.66 vs GPCox −97.64, MMPP −90.66Helped
Use MMGCP instead of GPCox/MMPP baselinesCox process intensity model · Football shot attemptsaverage test log-likelihood: −69.48 vs MMPP −70.34, GPCox −72.26Helped
Use MMGCP instead of GPCox/MMPP baselinesCox process intensity model · Italy's earthquakesaverage test log-likelihood: −101.19 vs MMPP −117.17, GPCox −109.73Helped
Use MMPP (stationary) instead of MMGCPCox process intensity model · Synthetic Full-Stnaverage test log-likelihood: MMPP 15.45 vs MMGCP 2.50Hurt
Use MMGCP instead of GPCox on fully non-stationary dataCox process intensity model · Synthetic Non-Stnaverage test log-likelihood: −42.19 vs −42.36 for GPCoxNo clear effect

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