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We propose a novel framework for modeling multiple multivariate point processes, each with heterogeneous event types that share an underlying space and obey the same generative mechanism. Focusing on Hawkes processes and their variants that…

Machine Learning · Computer Science 2021-02-05 Hongteng Xu , Dixin Luo , Hongyuan Zha

A large fraction of data generated via human activities such as online purchases, health records, spatial mobility etc. can be represented as a sequence of events over a continuous-time. Learning deep learning models over these…

Machine Learning · Computer Science 2022-08-29 Vinayak Gupta , Srikanta Bedathur , Sourangshu Bhattacharya , Abir De

Predictive monitoring of business processes is a subfield of process mining that aims to predict, among other things, the characteristics of the next event or the sequence of next events. Although multiple approaches based on deep learning…

Machine Learning · Computer Science 2021-12-24 Efrén Rama-Maneiro , Juan C. Vidal , Manuel Lama

We propose a new sparse Granger-causal learning framework for temporal event data. We focus on a specific class of point processes called the Hawkes process. We begin by pointing out that most of the existing sparse causal learning…

Machine Learning · Computer Science 2025-01-28 Tsuyoshi Idé , Georgios Kollias , Dzung T. Phan , Naoki Abe

Marked temporal point processes (MTPPs) model sequences of events occurring at irregular time intervals, with wide-ranging applications in fields such as healthcare, finance and social networks. We propose the state-space point process…

Machine Learning · Statistics 2025-10-24 Yuxin Chang , Alex Boyd , Cao Xiao , Taha Kass-Hout , Parminder Bhatia , Padhraic Smyth , Andrew Warrington

Sequential deep learning models such as RNN, causal CNN and attention mechanism do not readily consume continuous-time information. Discretizing the temporal data, as we show, causes inconsistency even for simple continuous-time processes.…

Machine Learning · Computer Science 2021-03-30 Da Xu , Chuanwei Ruan , Evren Korpeoglu , Sushant Kumar , Kannan Achan

Longitudinal data are important in numerous fields, such as healthcare, sociology and seismology, but real-world datasets present notable challenges for practitioners because they can be high-dimensional, contain structured missingness…

Machine Learning · Computer Science 2024-07-01 Maksim Sinelnikov , Manuel Haussmann , Harri Lähdesmäki

Research on link prediction in knowledge graphs has mainly focused on static multi-relational data. In this work we consider temporal knowledge graphs where relations between entities may only hold for a time interval or a specific point in…

Artificial Intelligence · Computer Science 2018-09-11 Alberto García-Durán , Sebastijan Dumančić , Mathias Niepert

Temporal Point Processes (TPPs) have recently become increasingly interesting for learning dynamics in graph data. A reason for this is that learning on dynamic graph data is becoming more relevant, since data from many scientific fields,…

Machine Learning · Computer Science 2024-08-29 Alice Moallemy-Oureh , Silvia Beddar-Wiesing , Yannick Nagel , Rüdiger Nather , Josephine M. Thomas

Temporal graph representation learning has drawn significant attention for the prevalence of temporal graphs in the real world. However, most existing works resort to taking discrete snapshots of the temporal graph, or are not inductive to…

Social and Information Networks · Computer Science 2022-03-29 Zhihao Wen , Yuan Fang

Temporal causal analysis means understanding the underlying causes behind observed variables over time. Deep learning based methods such as transformers are increasingly used to capture temporal dynamics and causal relationships beyond mere…

Machine Learning · Computer Science 2024-11-21 Riya Mahesh , Rahul Vashisht , Chandrashekar Lakshminarayanan

Multi-electrode neurophysiological recordings produce massive quantities of data. Multivariate time series analysis provides the basic framework for analyzing the patterns of neural interactions in these data. It has long been recognized…

Quantitative Methods · Quantitative Biology 2007-05-23 Mingzhou Ding , Yonghong Chen , Steven L. Bressler

Causal discovery from time-series data has been a central task in machine learning. Recently, Granger causality inference is gaining momentum due to its good explainability and high compatibility with emerging deep neural networks. However,…

Machine Learning · Computer Science 2023-02-16 Yuxiao Cheng , Runzhao Yang , Tingxiong Xiao , Zongren Li , Jinli Suo , Kunlun He , Qionghai Dai

Granger causal modeling is an emerging topic that can uncover Granger causal relationship behind multivariate time series data. In many real-world systems, it is common to encounter a large amount of multivariate time series data collected…

Machine Learning · Computer Science 2021-02-11 Yunfei Chu , Xiaowei Wang , Jianxin Ma , Kunyang Jia , Jingren Zhou , Hongxia Yang

Granger causality, commonly used for inferring causal structures from time series data, has been adopted in widespread applications across various fields due to its intuitive explainability and high compatibility with emerging deep neural…

Machine Learning · Computer Science 2024-06-18 Ziyi Zhang , Shaogang Ren , Xiaoning Qian , Nick Duffield

Neural Temporal Point Processes (TPPs) are the prevalent paradigm for modeling continuous-time event sequences, such as user activities on the web and financial transactions. In real-world applications, event data is typically received in a…

Machine Learning · Computer Science 2023-10-16 Siqiao Xue , Yan Wang , Zhixuan Chu , Xiaoming Shi , Caigao Jiang , Hongyan Hao , Gangwei Jiang , Xiaoyun Feng , James Y. Zhang , Jun Zhou

Most neural models of causality assume static causal graphs, failing to capture the dynamic and sparse nature of physical interactions where causal relationships emerge and dissolve over time. We introduce the Causal Process Framework and…

Machine Learning · Computer Science 2026-04-07 Turan Orujlu , Christian Gumbsch , Martin V. Butz , Charley M Wu

Many real world applications can be formulated as event forecasting on Continuous Time Dynamic Graphs (CTDGs) where the occurrence of a timed event between two entities is represented as an edge along with its occurrence timestamp in the…

Machine Learning · Computer Science 2022-05-24 Xuhong Wang , Sirui Chen , Yixuan He , Minjie Wang , Quan Gan , Yupu Yang , Junchi Yan

Event sequence, asynchronously generated with random timestamp, is ubiquitous among applications. The precise and arbitrary timestamp can carry important clues about the underlying dynamics, and has lent the event data fundamentally…

Machine Learning · Computer Science 2017-05-26 Shuai Xiao , Junchi Yan , Stephen M. Chu , Xiaokang Yang , Hongyuan Zha

A variety of real-world processes (over networks) produce sequences of data whose complex temporal dynamics need to be studied. More especially, the event timestamps can carry important information about the underlying network dynamics,…

Machine Learning · Computer Science 2017-03-27 Shuai Xiao , Junchi Yan , Mehrdad Farajtabar , Le Song , Xiaokang Yang , Hongyuan Zha