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Existing methods of multiple human parsing (MHP) apply statistical models to acquire underlying associations between images and labeled body parts. However, acquired associations often contain many spurious correlations that degrade model…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Xiaojia Chen , Xuanhan Wang , Lianli Gao , Beitao Chen , Jingkuan Song , HenTao Shen

In this work, we propose a novel generative method to identify the causal impact and apply it to prediction tasks. We conduct causal impact analysis using interventional and counterfactual perspectives. First, applying interventions, we…

Machine Learning · Computer Science 2025-09-03 Soma Bandyopadhyay , Sudeshna Sarkar

Predicting discrete events in time and space has many scientific applications, such as predicting hazardous earthquakes and outbreaks of infectious diseases. History-dependent spatio-temporal Hawkes processes are often used to…

Machine Learning · Computer Science 2023-01-31 Negar Erfanian , Santiago Segarra , Maarten de Hoop

Intellectual disability (ID) is defined by an IQ under 70, in addition to deficits in two or more adaptive behaviors that affect everyday living. Throughout history, individuals with ID have often been margin-alized from society and…

Molecular Networks · Quantitative Biology 2025-08-08 Lukas Madsen Brandt , Katja Nowick , Jing Qin

The Hawkes process is used to model point process data where events occur in clusters and bursts. In a standard multivariate Hawkes process, every event that occurs in a dimension has an equal impact on the process intensity. However, this…

Methodology · Statistics 2026-05-05 Gordon J Ross , Isabella Deutsch

Granger causality is a fundamental technique for causal inference in time series data, commonly used in the social and biological sciences. Typical operationalizations of Granger causality make a strong assumption that every time point of…

Machine Learning · Computer Science 2020-11-23 Chainarong Amornbunchornvej , Elena Zheleva , Tanya Y. Berger-Wolf

This work contributes to the theory and applications of Hawkes processes. We introduce and examine a new class of Hawkes processes that we call generalized Hawkes processes, and their special subclass -- the generalized multivariate Hawkes…

Probability · Mathematics 2020-04-30 Tomasz R. Bielecki , Jacek Jakubowski , Mariusz Nieweglowski

Granger causality, a popular method for determining causal influence between stochastic processes, is most commonly estimated via linear autoregressive modeling. However, this approach has a serious drawback: if the process being modeled…

Statistics Theory · Mathematics 2016-06-29 Lionel Barnett , Anil K. Seth

Video causal reasoning aims to achieve a high-level understanding of videos from a causal perspective. However, it exhibits limitations in its scope, primarily executed in a question-answering paradigm and focusing on brief video segments…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Tieyuan Chen , Huabin Liu , Yi Wang , Yihang Chen , Tianyao He , Chaofan Gan , Huanyu He , Weiyao Lin

We are interested in the problem of classifying Multivariate Hawkes Processes (MHP) paths coming from several classes. MHP form a versatile family of point processes that models interactions between connected individuals within a network.…

Statistics Theory · Mathematics 2026-03-24 Charlotte Dion-Blanc , Christophe Denis , Laure Sansonnet , Romain Edmond Lacoste

The Hawkes process (HP) has been widely applied to modeling self-exciting events including neuron spikes, earthquakes and tweets. To avoid designing parametric triggering kernel and to be able to quantify the prediction confidence, the…

Machine Learning · Computer Science 2021-02-05 Rui Zhang , Christian Walder , Marian-Andrei Rizoiu

In this paper we consider point processes specified on directed linear networks, i.e. linear networks with associated directions. We adapt the so-called conditional intensity function used for specifying point processes on the time line to…

Statistics Theory · Mathematics 2019-01-03 Jakob G. Rasmussen , Heidi S. Christensen

Most of the metrics used for detecting a causal relationship among multiple time series ignore the effects of practical measurement impairments, such as finite sample effects, undersampling and measurement noise. It has been shown that…

Methodology · Statistics 2023-04-03 Rahul Devendra , Ribhu Chopra , Kumar Appaiah

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

This paper is motivated by studies in neuroscience experiments to understand interactions between nodes in a brain network using different types of data modalities that capture different distinct facets of brain activity. To assess…

This report reviews the conceptual and theoretical links between Granger causality and directed information theory. We begin with a short historical tour of Granger causality, concentrating on its closeness to information theory. The…

Information Theory · Computer Science 2015-06-12 Pierre-Olivier Amblard , Olivier J. J. Michel

The broad abundance of time series data, which is in sharp contrast to limited knowledge of the underlying network dynamic processes that produce such observations, calls for a rigorous and efficient method of causal network inference. Here…

Information Theory · Computer Science 2015-05-19 Jie Sun , Dane Taylor , Erik M. Bollt

An approach is proposed for inferring Granger causality between jointly stationary, Gaussian signals from quantized data. First, a necessary and sufficient rank criterion for the equality of two conditional Gaussian distributions is proved.…

Systems and Control · Electrical Eng. & Systems 2022-02-07 Salman Ahmadi , Girish N. Nair , Erik Weyer

We study Ising models for describing data and show that autoregressive methods may be used to learn their connections, also in the case of asymmetric connections and for multi-spin interactions. For each link the linear Granger causality is…

Neurons and Cognition · Quantitative Biology 2015-05-18 Mario Pellicoro , Sebastiano Stramaglia

As systems are getting more autonomous with the development of artificial intelligence, it is important to discover the causal knowledge from observational sensory inputs. By encoding a series of cause-effect relations between events,…

Machine Learning · Computer Science 2020-01-16 Yuhao Wang , Vlado Menkovski , Hao Wang , Xin Du , Mykola Pechenizkiy