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Business processes are continuously evolving in order to adapt to changes due to various factors. One type of process changes are branching frequency changes, which are related to changes in frequencies between different options when there…

Information Retrieval · Computer Science 2021-06-25 Yang Lu , Qifan Chen , Simon Poon

Process monitoring and control requires detection of structural changes in a data stream in real time. This article introduces an efficient sequential Monte Carlo algorithm designed for learning unknown changepoints in continuous time. The…

Applications · Statistics 2015-09-29 Melissa J. M. Turcotte , Nicholas A. Heard

Irregularly-sampled time series occur in many domains including healthcare. They can be challenging to model because they do not naturally yield a fixed-dimensional representation as required by many standard machine learning models. In…

Machine Learning · Computer Science 2020-08-19 Steven Cheng-Xian Li , Benjamin M. Marlin

A characteristic of existing predictive process monitoring techniques is to first construct a predictive model based on past process executions, and then use it to predict the future of new ongoing cases, without the possibility of updating…

Artificial Intelligence · Computer Science 2023-10-26 Chiara Di Francescomarino , Chiara Ghidini , Fabrizio Maria Maggi , Williams Rizzi , Cosimo Damiano Persia

We give general sufficient conditions to prove the convergence of marked point processes that keep record of the occurrence of rare events and of their impact for non-autonomous dynamical systems. We apply the results to sequential…

Dynamical Systems · Mathematics 2019-04-12 Ana Cristina Moreira Freitas , Jorge Milhazes Freitas , Mário Magalhães , Sandro Vaienti

Continuously-observed event occurrences, often exhibit self- and mutually-exciting effects, which can be well modeled using temporal point processes. Beyond that, these event dynamics may also change over time, with certain periodic trends.…

Machine Learning · Computer Science 2024-03-11 Sikun Yang , Hongyuan Zha

The spectrum and coherency are useful quantities for characterizing the temporal correlations and functional relations within and between point processes. This paper begins with a review of these quantities, their interpretation and how…

Biological Physics · Physics 2007-05-23 M. R. Jarvis , P. P. Mitra

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

Machine Learning · Statistics 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

We study the best-choice problem for processes which generalise the process of records from Poisson-paced i.i.d. observations. Under the assumption that the observer knows distribution of the process and the horizon, we determine the…

Probability · Mathematics 2007-05-23 Alexander Gnedin

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

This work introduces the definition of observation-specific explanations to assign a score to each data point proportional to its importance in the definition of the prediction process. Such explanations involve the identification of the…

Machine Learning · Statistics 2024-04-16 Valentina Ghidini , Michael Multerer , Jacopo Quizi , Rohan Sen

The ordinal patterns of a fixed number of consecutive values in a time series is the spatial ordering of these values. Counting how often a specific ordinal pattern occurs in a time series provides important insights into the properties of…

Statistics Theory · Mathematics 2025-02-06 Annika Betken , Giorgio Micali , Johannes Schmidt-Hieber

We derive new discrete event simulation algorithms for marked time point processes. The main idea is to couple a special structure, namely the associated local independence graph, as defined by Didelez arXiv:0710.5874, with the activity…

Computation · Statistics 2021-03-05 Cyrille Mascart , Alexandre Muzy , Patricia Reynaud-bouret

A Markov process is registered. At random moment $\theta$ the distribution of observed sequence changes. Using probability maximizing approach the optimal stopping rule for detecting the change is identified. Some explicit solution is…

Probability · Mathematics 2020-11-23 Wojciech Sarnowski , Krzysztof Szajowski

Modern high-dimensional point process data, especially those from neuroscience experiments, often involve observations from multiple conditions and/or experiments. Networks of interactions corresponding to these conditions are expected to…

Methodology · Statistics 2021-09-27 Xu Wang , Ali Shojaie

We present multi-point optimization: an optimization technique that allows to train several models simultaneously without the need to keep the parameters of each one individually. The proposed method is used for a thorough empirical…

Machine Learning · Computer Science 2025-11-18 Ivan Skorokhodov , Mikhail Burtsev

This paper reviews developments in statistics for spatial point processes obtained within roughly the last decade. These developments include new classes of spatial point process models such as determinantal point processes, models…

Methodology · Statistics 2016-09-06 Jesper Møller , Rasmus Waagepetersen

Prompt-based continual learning methods fine-tune only a small set of additional learnable parameters while keeping the pre-trained model's parameters frozen. It enables efficient adaptation to new tasks while mitigating the risk of…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Shengqin Jiang , Tianqi Kong , Yuankai Qi , Haokui Zhang , Lina Yao , Quan Z. Sheng , Qingshan Liu , Ming-Hsuan Yang

We develop a mixture procedure to monitor parallel streams of data for a change-point that affects only a subset of them, without assuming a spatial structure relating the data streams to one another. Observations are assumed initially to…

Statistics Theory · Mathematics 2013-05-10 Yao Xie , David Siegmund

Suppose a process yields independent observations whose distributions belong to a family parameterized by \theta\in\Theta. When the process is in control, the observations are i.i.d. with a known parameter value \theta_0. When the process…

Statistics Theory · Mathematics 2007-06-13 Gary Lorden , Moshe Pollak
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