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Event sequences can be modeled by temporal point processes (TPPs) to capture their asynchronous and probabilistic nature. We propose an intensity-free framework that directly models the point process distribution by utilizing normalizing…

Machine Learning · Computer Science 2019-12-24 Nazanin Mehrasa , Ruizhi Deng , Mohamed Osama Ahmed , Bo Chang , Jiawei He , Thibaut Durand , Marcus Brubaker , Greg Mori

A temporal point process is a mathematical model for a time series of discrete events, which covers various applications. Recently, recurrent neural network (RNN) based models have been developed for point processes and have been found…

Machine Learning · Computer Science 2020-01-13 Takahiro Omi , Naonori Ueda , Kazuyuki Aihara

Point processes model the distribution of random point sets in mathematical spaces, such as spatial and temporal domains, with applications in fields like seismology, neuroscience, and economics. Existing statistical and machine learning…

Machine Learning · Computer Science 2024-10-31 David Lüdke , Enric Rabasseda Raventós , Marcel Kollovieh , Stephan Günnemann

Learning the dynamics of spatiotemporal events is a fundamental problem. Neural point processes enhance the expressivity of point process models with deep neural networks. However, most existing methods only consider temporal dynamics…

Machine Learning · Computer Science 2024-12-10 Zihao Zhou , Xingyi Yang , Ryan Rossi , Handong Zhao , Rose Yu

Point processes are becoming very popular in modeling asynchronous sequential data due to their sound mathematical foundation and strength in modeling a variety of real-world phenomena. Currently, they are often characterized via intensity…

Machine Learning · Computer Science 2017-05-24 Shuai Xiao , Mehrdad Farajtabar , Xiaojing Ye , Junchi Yan , Le Song , Hongyuan Zha

We propose a constructive approach to building temporal point processes that incorporate dependence on their history. The dependence is modeled through the conditional density of the duration, i.e., the interval between successive event…

Methodology · Statistics 2025-10-31 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

In real-world scenario, many phenomena produce a collection of events that occur in continuous time. Point Processes provide a natural mathematical framework for modeling these sequences of events. In this survey, we investigate…

A spatial point process can be characterized by an intensity function which predicts the number of events that occur across space. In this paper, we develop a method to infer predictive intensity intervals by learning a spatial model using…

Machine Learning · Statistics 2020-07-06 Muhammad Osama , Dave Zachariah , Petre Stoica

Many real-world objects can be modeled as a stream of events on the nodes of a graph. In this paper, we propose a class of graphical event models named temporal point process graphical models for representing the temporal dependencies among…

Methodology · Statistics 2021-10-25 Yalong Lyu , Huiyuan Wang , Wei Lin

Social goods, such as healthcare, smart city, and information networks, often produce ordered event data in continuous time. The generative processes of these event data can be very complex, requiring flexible models to capture their…

Machine Learning · Computer Science 2020-12-29 Shuang Li , Shuai Xiao , Shixiang Zhu , Nan Du , Yao Xie , Le Song

The standard paradigm of modeling marked point processes is by parameterizing the intensity function using an attention-based (Transformer-style) architecture. Despite the flexibility of these methods, their inference is based on the…

Machine Learning · Statistics 2024-09-30 Aristeidis Panos

Temporal point process is an expressive tool for modeling event sequences over time. In this paper, we take a reinforcement learning view whereby the observed sequences are assumed to be generated from a mixture of latent policies. The…

Machine Learning · Computer Science 2019-07-01 Weichang Wu , Junchi Yan , Xiaokang Yang , Hongyuan Zha

Most existing temporal point process models are characterized by conditional intensity function. These models often require numerical approximation methods for likelihood evaluation, which potentially hurts their performance. By directly…

Machine Learning · Computer Science 2024-05-03 Bingqing Liu

Continuous-time event sequences, in which events occur at irregular intervals, are ubiquitous across a wide range of industrial and scientific domains. The contemporary modeling paradigm is to treat such data as realizations of a temporal…

Machine Learning · Computer Science 2026-04-07 Gavin Kerrigan , Kai Nelson , Padhraic Smyth

Point processes are stochastic models generating interacting points or events in time, space, etc. Among characteristics of these models, first-order intensity and conditional intensity functions are often considered. We focus on…

Statistics Theory · Mathematics 2023-05-24 Jean-François Coeurjolly , Ismaïla Ba , Achmad Choiruddin

Temporal point process as the stochastic process on continuous domain of time is commonly used to model the asynchronous event sequence featuring with occurrence timestamps. Thanks to the strong expressivity of deep neural networks, they…

Machine Learning · Computer Science 2024-12-25 Haitao Lin , Cheng Tan , Lirong Wu , Zhangyang Gao , Zicheng Liu , Stan. Z. Li

Point processes offer a versatile framework for sequential event modeling. However, the computational challenges and constrained representational power of the existing point process models have impeded their potential for wider…

Machine Learning · Statistics 2025-01-22 Zheng Dong , Zekai Fan , Shixiang Zhu

Neural marked temporal point processes have been a valuable addition to the existing toolbox of statistical parametric models for continuous-time event data. These models are useful for sequences where each event is associated with a single…

Machine Learning · Computer Science 2024-03-20 Yuxin Chang , Alex Boyd , Padhraic Smyth

Continuous-time event data are common in applications such as individual behavior data, financial transactions, and medical health records. Modeling such data can be very challenging, in particular for applications with many different types…

Machine Learning · Statistics 2020-11-09 Alex Boyd , Robert Bamler , Stephan Mandt , Padhraic Smyth

We study efficiency of intensity-based dynamic speckle method for characterization of dynamic events which occur at variable rate in time within the temporal averaging interval. We checked ability of the method to describe the speed…

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