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Modeling event dynamics is central to many disciplines. Patterns in observed event arrival times are commonly modeled using point processes. Such event arrival data often exhibits self-exciting, heterogeneous and sporadic trends, which is…

Applications · Statistics 2021-08-16 Jing Wu , Owen G. Ward , James Curley , Tian Zheng

Understanding directed temporal interactions in multivariate time series is essential for interpreting complex dynamical systems and the predictive models trained on them. We present Causal-INSIGHT, a model-agnostic, post-hoc interpretation…

Machine Learning · Computer Science 2026-03-27 Benjamin Redden , Hui Wang , Shuyan Li

Student procrastination and cramming for deadlines are major challenges in online learning environments, with negative educational and well-being side effects. Modeling student activities in continuous time and predicting their next study…

Machine Learning · Computer Science 2021-02-02 Mengfan Yao , Siqian Zhao , Shaghayegh Sahebi , Reza Feyzi Behnagh

Hawkes processes are point process models that have been used to capture self-excitatory behavior in social interactions, neural activity, earthquakes and viral epidemics. They can model the occurrence of the times and locations of events.…

Machine Learning · Statistics 2022-10-24 Xenia Miscouridou , Samir Bhatt , George Mohler , Seth Flaxman , Swapnil Mishra

We consider the Granger causal structure learning problem from time series data. Granger causal algorithms predict a 'Granger causal effect' between two variables by testing if prediction error of one decreases significantly in the absence…

Causal Inference offers a fundamental approach for advancing empirical software engineering (ESE) beyond traditional statistical association, enabling researchers to rigorously identify and quantify causal relationships in software…

Software Engineering · Computer Science 2026-05-28 Daniel Rodriguez-Cardenas , Aya Garryyeva , David Nader Palacio , Antonio Mastropaolo , Denys Poshyvanyk

Granger causality is well established within the neurosciences for inference of directed functional connectivity from neurophysiological data. These data usually consist of time series which subsample a continuous-time biophysiological…

Applications · Statistics 2016-09-08 Lionel Barnett , Anil K. Seth

When the sample path of a Hawkes process is observed discretely, such that only the total event counts in disjoint time intervals are known, the likelihood function becomes intractable. To overcome the challenge of likelihood-based…

Methodology · Statistics 2025-06-24 Jason J. Lambe , Feng Chen , Tom Stindl , Tsz-Kit Jeffrey Kwan

The Hawkes process is a class of point processes whose future depends on their own history. Previous theoretical work on the Hawkes process is limited to a special case in which a past event can only increase the occurrence of future…

Methodology · Statistics 2019-06-21 Shizhe Chen , Ali Shojaie , Eric Shea-Brown , Daniela Witten

Continuous-time event sequences, i.e., sequences consisting of continuous time stamps and associated event types ("marks"), are an important type of sequential data with many applications, e.g., in clinical medicine or user behavior…

Machine Learning · Statistics 2022-11-17 Alex Boyd , Yuxin Chang , Stephan Mandt , Padhraic Smyth

We design a new nonparametric method that allows one to estimate the matrix of integrated kernels of a multivariate Hawkes process. This matrix not only encodes the mutual influences of each nodes of the process, but also disentangles the…

Machine Learning · Statistics 2017-05-31 Massil Achab , Emmanuel Bacry , Stéphane Gaïffas , Iacopo Mastromatteo , Jean-Francois Muzy

The mainstream of data-driven abstractive summarization models tends to explore the correlations rather than the causal relationships. Among such correlations, there can be spurious ones which suffer from the language prior learned from the…

Computation and Language · Computer Science 2023-08-25 Lu Chen , Ruqing Zhang , Wei Huang , Wei Chen , Jiafeng Guo , Xueqi Cheng

Datasets involving sequences of different types of events without meaningful time stamps are prevalent in many applications, for instance when extracted from textual corpora. We propose a family of models for such event sequences -- summary…

Artificial Intelligence · Computer Science 2022-05-09 Debarun Bhattacharjya , Saurabh Sihag , Oktie Hassanzadeh , Liza Bialik

Shapelets are discriminative subsequences (or shapes) with high interpretability in time series classification. Due to the time-intensive nature of shapelet discovery, existing shapelet-based methods mainly focus on selecting discriminative…

Machine Learning · Computer Science 2025-06-04 Zhen Liu , Yicheng Luo , Boyuan Li , Emadeldeen Eldele , Min Wu , Qianli Ma

Sequences of events including infectious disease outbreaks, social network activities, and crimes are ubiquitous and the data on such events carry essential information about the underlying diffusion processes between communities (e.g.,…

Social and Information Networks · Computer Science 2021-06-08 Maya Okawa , Tomoharu Iwata , Yusuke Tanaka , Hiroyuki Toda , Takeshi Kurashima , Hisashi Kashima

Across a wide variety of applications, the self-exciting Hawkes process has been used to model phenomena in which the history of events influences future occurrences. However, there may be many situations in which the past events only…

Probability · Mathematics 2021-01-12 Andrew Daw , Jamol Pender

We study a multivariate Hawkes process as a model for time-continuous relational event networks. The model does not assume the network to be known, it includes covariates, and it allows for both common drivers, parameters common to all the…

Statistics Theory · Mathematics 2025-04-08 Alexander Kreiss , Enno Mammen , Wolfgang Polonik

Counterfactual learning has become promising for understanding and modeling causality in complex and dynamic systems. This paper presents a novel method for counterfactual learning in the context of multivariate time series analysis and…

Machine Learning · Computer Science 2026-03-03 Gianlucca Zuin , Adriano Veloso

Causality understanding between events is a critical natural language processing task that is helpful in many areas, including health care, business risk management and finance. On close examination, one can find a huge amount of textual…

Computation and Language · Computer Science 2021-02-01 Vivek Khetan , Roshni Ramnani , Mayuresh Anand , Shubhashis Sengupta , Andrew E. Fano

Identifying latent variables and the causal structure involving them is essential across various scientific fields. While many existing works fall under the category of constraint-based methods (with e.g. conditional independence or rank…

Machine Learning · Computer Science 2026-05-21 Ignavier Ng , Xinshuai Dong , Haoyue Dai , Biwei Huang , Peter Spirtes , Kun Zhang