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This chapter provides an accessible introduction for point processes, and especially Hawkes processes, for modeling discrete, inter-dependent events over continuous time. We start by reviewing the definitions and the key concepts in point…

Machine Learning · Statistics 2017-10-10 Marian-Andrei Rizoiu , Young Lee , Swapnil Mishra , Lexing Xie

We describe a statistical analysis of the eye tracker measurements in a database with 15 observers viewing 1003 images under free-viewing conditions. In contrast to the common approach of investigating the properties of the fixation points…

Computer Vision and Pattern Recognition · Computer Science 2014-06-25 Reiner Lenz

Networks capture our intuition about relationships in the world. They describe the friendships between Facebook users, interactions in financial markets, and synapses connecting neurons in the brain. These networks are richly structured…

Machine Learning · Statistics 2015-07-14 Scott W. Linderman , Ryan P. Adams

A visual hard attention model actively selects and observes a sequence of subregions in an image to make a prediction. The majority of hard attention models determine the attention-worthy regions by first analyzing a complete image.…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Samrudhdhi B. Rangrej , James J. Clark

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

Be it your favorite novel, a newswire article, a cooking recipe or an academic paper -- in many daily situations we read the same text more than once. In this work, we ask whether it is possible to automatically determine whether the reader…

Computation and Language · Computer Science 2026-02-10 Yoav Meiri , Omer Shubi , Cfir Avraham Hadar , Ariel Kreisberg Nitzav , Yevgeni Berzak

Online boards offer a platform for sharing and discussing content, where discussion emerges as a cascade of comments in response to a post. Branching point process models offer a practical approach to modelling these cascades; however,…

Applications · Statistics 2025-01-24 Joe Meagher , Nial Friel

Multivariate Hawkes processes are past-dependant point processes originally introduced to model excitation effects, later extended to a nonlinear framework to account for the opposite effect, known as inhibition. Motivated by applications…

Methodology · Statistics 2026-05-12 Sacha Quayle , Anna Bonnet , Maxime Sangnier

Social media users and microbloggers post about a wide variety of (off-line) collective social activities as they participate in them, ranging from concerts and sporting events to political rallies and civil protests. In this context,…

Social and Information Networks · Computer Science 2017-01-12 Martin Jankowiak , Manuel Gomez-Rodriguez

We develop flexible multivariate spatio-temporal Hawkes process models to analyze patterns of terrorism. Previous applications of point process methods to political violence data mainly utilize temporal Hawkes process models, neglecting…

Methodology · Statistics 2023-08-14 Mikyoung Jun , Scott Cook

The physics of the environment provide a rich spatiotemporal structure for our experience. Objects move in predictable ways and their features and identity remain stable across time and space. How does the brain leverage this structure to…

Neurons and Cognition · Quantitative Biology 2014-07-22 Dean Wyatte

Spatio-temporal feature encoding is essential for encoding facial expression dynamics in video sequences. At test time, most spatio-temporal encoding methods assume that a temporally segmented sequence is fed to a learned model, which could…

Computer Vision and Pattern Recognition · Computer Science 2017-11-30 Wissam J. Baddar , Yong Man Ro

Existence and stability properties are studied for Hawkes process, i.e. point process $S$ that has long-memory and intensity $r(t)=\lambda \big(g_0(t)+ \sum_{\tau<t, \tau \in S} h(t-\tau) \big)$. The approach to Hawkes process presented in…

Probability · Mathematics 2013-01-17 Dmytro Karabash

Online social networking services allow their users to post content in the form of text, images or videos. The main mechanism driving content diffusion is the possibility for users to re-share the content posted by their social connections,…

Social and Information Networks · Computer Science 2016-04-01 Ryota Kobayashi , Renaud Lambiotte

Many real-world applications require robust algorithms to learn point processes based on a type of incomplete data --- the so-called short doubly-censored (SDC) event sequences. We study this critical problem of quantitative asynchronous…

Machine Learning · Computer Science 2017-06-09 Hongteng Xu , Dixin Luo , Hongyuan Zha

The Hawks process is a point process with a self-exciting property. It has been used to model earthquakes, social media events, infections, etc., and is getting a lot of attention. However, as a real problem, there are often situations…

Statistics Theory · Mathematics 2021-07-30 Masatoshi Goda

In the study of reading, eye-tracking technology offers unique insights into the time-course of how individuals extract information from text. A significant hurdle in using multi-line paragraph stimuli is the need to align eye gaze position…

Human-Computer Interaction · Computer Science 2024-10-17 Thomas M. Mercier , Marcin Budka , Bernhard Angele , Martin R. Vasilev , Timothy J. Slattery , Julie A Kirkby

Predicting attention is a popular topic at the intersection of human and computer vision. However, even though most of the available video saliency data sets and models claim to target human observers' fixations, they fail to differentiate…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Mikhail Startsev , Michael Dorr

Modelling and forecasting the occurrence of extreme events is especially difficult when the event process is nonstationary, with changes in both the rate at which extremes occur and the magnitude of the extremes when they occur. We approach…

Methodology · Statistics 2026-05-06 Gordon J. Ross , Dean Markwick

The effect of bias on hypothesis formation is characterized for an automated data-driven projection pursuit neural network to extract and select features for binary classification of data streams. This intelligent exploratory process…

Machine Learning · Computer Science 2022-01-05 John Patterson , Chris Avery , Tyler Grear , Donald J. Jacobs