Advances in Temporal Point Processes: Bayesian, Neural, and LLM Approaches

Fuente: arXiv
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Main Authors: Zhou, Feng, Kong, Quyu, Qiao, Jie, Wan, Cheng, Zhang, Yixuan, Cai, Ruichu
Format: Preprint
Published: 2025
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author Zhou, Feng
Kong, Quyu
Qiao, Jie
Wan, Cheng
Zhang, Yixuan
Cai, Ruichu
author_facet Zhou, Feng
Kong, Quyu
Qiao, Jie
Wan, Cheng
Zhang, Yixuan
Cai, Ruichu
contents Temporal point processes (TPPs) are stochastic process models used to characterize event sequences occurring in continuous time. Traditional statistical TPPs have a long-standing history, with numerous models proposed and successfully applied across diverse domains. In recent years, advances in deep learning have spurred the development of neural TPPs, enabling greater flexibility and expressiveness in capturing complex temporal dynamics. The emergence of large language models (LLMs) has further sparked excitement, offering new possibilities for modeling and analyzing event sequences by leveraging their rich contextual understanding. This survey presents a comprehensive review of recent research on TPPs from three perspectives: Bayesian, deep learning, and LLM approaches. We begin with a review of the fundamental concepts of TPPs, followed by an in-depth discussion of model design and parameter estimation techniques in these three frameworks. We also revisit classic application areas of TPPs to highlight their practical relevance. Finally, we outline challenges and promising directions for future research.
format Preprint
id arxiv_https___arxiv_org_abs_2501_14291
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Advances in Temporal Point Processes: Bayesian, Neural, and LLM Approaches
Zhou, Feng
Kong, Quyu
Qiao, Jie
Wan, Cheng
Zhang, Yixuan
Cai, Ruichu
Machine Learning
Temporal point processes (TPPs) are stochastic process models used to characterize event sequences occurring in continuous time. Traditional statistical TPPs have a long-standing history, with numerous models proposed and successfully applied across diverse domains. In recent years, advances in deep learning have spurred the development of neural TPPs, enabling greater flexibility and expressiveness in capturing complex temporal dynamics. The emergence of large language models (LLMs) has further sparked excitement, offering new possibilities for modeling and analyzing event sequences by leveraging their rich contextual understanding. This survey presents a comprehensive review of recent research on TPPs from three perspectives: Bayesian, deep learning, and LLM approaches. We begin with a review of the fundamental concepts of TPPs, followed by an in-depth discussion of model design and parameter estimation techniques in these three frameworks. We also revisit classic application areas of TPPs to highlight their practical relevance. Finally, we outline challenges and promising directions for future research.
title Advances in Temporal Point Processes: Bayesian, Neural, and LLM Approaches
topic Machine Learning
url https://arxiv.org/abs/2501.14291