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Modeling Inter-Dependence Between Time and Mark in Multivariate Temporal Point Processes

Published: 17 October 2022 Publication History

Abstract

Temporal Point Processes (TPP) are probabilistic generative frameworks. They model discrete event sequences localized in continuous time. Generally, real-life events reveal descriptive information, known as marks. Marked TPPs model time and marks of the event together for practical relevance. Conditioned on past events, marked TPPs aim to learn the joint distribution of the time and the mark of the next event. For simplicity, conditionally independent TPP models assume time and marks are independent given event history. They factorize the conditional joint distribution of time and mark into the product of individual conditional distributions. This structural limitation in the design of TPP models hurt the predictive performance on entangled time and mark interactions. In this work, we model the conditional inter-dependence of time and mark to overcome the limitations of conditionally independent models. We construct a multivariate TPP conditioning the time distribution on the current event mark in addition to past events. Besides the conventional intensity-based models for conditional joint distribution, we also draw on flexible intensity-free TPP models from the literature. The proposed TPP models outperform conditionally independent and dependent models in standard prediction tasks. Our experimentation on various datasets with multiple evaluation metrics highlights the merit of the proposed approach.

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Cited By

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  • (2024)Cumulative Hazard Function Based Efficient Multivariate Temporal Point Process Learning2024 International Joint Conference on Neural Networks (IJCNN)10.1109/IJCNN60899.2024.10650460(1-8)Online publication date: 30-Jun-2024
  • (2024)Modelling event sequence data by type-wise neural point processData Mining and Knowledge Discovery10.1007/s10618-024-01047-638:6(3449-3472)Online publication date: 17-Jun-2024

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  1. Modeling Inter-Dependence Between Time and Mark in Multivariate Temporal Point Processes

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    cover image ACM Conferences
    CIKM '22: Proceedings of the 31st ACM International Conference on Information & Knowledge Management
    October 2022
    5274 pages
    ISBN:9781450392365
    DOI:10.1145/3511808
    • General Chairs:
    • Mohammad Al Hasan,
    • Li Xiong
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    Published: 17 October 2022

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    Author Tags

    1. multivariate temporal point processes
    2. probabilistic modeling

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    • (2024)Cumulative Hazard Function Based Efficient Multivariate Temporal Point Process Learning2024 International Joint Conference on Neural Networks (IJCNN)10.1109/IJCNN60899.2024.10650460(1-8)Online publication date: 30-Jun-2024
    • (2024)Modelling event sequence data by type-wise neural point processData Mining and Knowledge Discovery10.1007/s10618-024-01047-638:6(3449-3472)Online publication date: 17-Jun-2024

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