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A point process for event arrivals in high frequency trading is presented. The intensity is the product of a Hawkes process and high dimensional functions of covariates derived from the order book. Conditions for stationarity of the process…

交易与市场微观结构 · 定量金融 2026-05-12 Luca Mucciante , Alessio Sancetta

As part of optimizing the reliability, Thales Optronics now includes systems that examine the state of its equipment. The aim of this paper is to use hidden Markov Model to detect as soon as possible a change of state of optronic equipment…

应用统计 · 统计学 2012-12-12 Camille Baysse , Didier Bihannic , Anne Gégout-Petit , Michel Prenat , Jérôme Saracco

Multivariate Hawkes Processes (MHPs) are an important class of temporal point processes that have enabled key advances in understanding and predicting social information systems. However, due to their complex modeling of temporal…

机器学习 · 计算机科学 2020-03-02 Maximilian Nickel , Matthew Le

Hawkes process models are used in settings where past events increase the likelihood of future events occurring. Many applications record events as counts on a regular grid, yet discrete-time Hawkes models remain comparatively underused and…

机器学习 · 统计学 2026-02-11 Trinnhallen Brisley , Gordon Ross , Daniel Paulin

Hawkes processes are a popular framework to model the occurrence of sequential events, i.e., occurrence dynamics, in several fields such as social diffusion. In real-world scenarios, the inter-arrival time among events is irregular.…

机器学习 · 计算机科学 2023-05-19 Minju Jo , Seungji Kook , Noseong Park

This paper develops maintenance policies for a system under condition monitoring. We assume that a number of defects may develop and the degradation process of each defect follows a gamma process, respectively. The system is inspected…

系统与控制 · 电气工程与系统科学 2024-09-21 Shaomin Wu , Inma T. Castro

Reliable inference of system degradation from sensor data is fundamental to condition monitoring and prognostics in mechanical and infrastructural systems. Since degradation is rarely directly observable and measurable, it must be inferred…

机器学习 · 计算机科学 2026-03-13 Mengjie Zhao , Olga Fink

The extent to which a matching engine can cloud the modelling of underlying order submission and management processes in a financial market remains an unanswered concern with regards to market models. Here we consider a 10-variate Hawkes…

交易与市场微观结构 · 定量金融 2021-08-18 Ivan Jericevich , Patrick Chang , Tim Gebbie

The mechanical response, serviceability, and load bearing capacity of materials and structural components can be adversely affected due to external stimuli, which include exposure to a corrosive chemical species, high temperatures,…

材料科学 · 物理学 2016-07-20 C. Xu , M. K. Mudunuru , K. B. Nakshatrala

Hawkes Processes are a type of point process which models self-excitement among time events. It has been used in a myriad of applications, ranging from finance and earthquakes to crime rates and social network activity analysis.Recently, a…

机器学习 · 计算机科学 2021-01-05 Rafael Lima

Many events occur in the world. Some event types are stochastically excited or inhibited---in the sense of having their probabilities elevated or decreased---by patterns in the sequence of previous events. Discovering such patterns can help…

机器学习 · 计算机科学 2017-11-22 Hongyuan Mei , Jason Eisner

Given a collection of entities (or nodes) in a network and our intermittent observations of activities from each entity, an important problem is to learn the hidden edges depicting directional relationships among these entities. Here, we…

机器学习 · 统计学 2017-08-01 Triet M Le

The Hawkes model is suitable for describing self and mutually exciting random events. In addition, the exponential decay in the Hawkes process allows us to calculate the moment properties in the model. However, due to the complexity of the…

统计金融 · 定量金融 2024-09-24 Kyungsub Lee

In this work, a system subject to different deterioration processes is analysed. The arrival of the degradation processes to the system is modelled using a shot-noise Cox process. The degradation processes grow according to an homogeneous…

概率论 · 数学 2024-01-18 L. Bautista , Inma T. Castro , L. Landesa

Coating chambers create thin layers that improve the mechanical and optical surface properties in jewelry production using physical vapor deposition. In such a process, evaporated material condensates on the walls of such chambers and, over…

Object detectors achieve strong performance under nominal imaging conditions but can fail silently when exposed to blur, noise, compression, adverse weather, or resolution changes. In safety-critical settings, it is therefore insufficient…

计算机视觉与模式识别 · 计算机科学 2026-02-23 Stefan Becker , Simon Weiss , Wolfgang Hübner , Michael Arens

We investigate spatio-temporal event analysis using point processes. Inferring the dynamics of event sequences spatiotemporally has many practical applications including crime prediction, social media analysis, and traffic forecasting. In…

机器学习 · 计算机科学 2021-02-17 Fatih Ilhan , Suleyman Serdar Kozat

This paper investigates the modeling of an important class of degradation data, which are collected from a spatial domain over time; for example, the surface quality degradation. Like many existing time-dependent stochastic degradation…

统计方法学 · 统计学 2017-12-29 Xiao Liu , Kyongmin Yeo , Jayant Kalagnanam

Understanding degradation is crucial for ensuring the longevity and performance of materials, systems, and organisms. To illustrate the similarities across applications, this article provides a review of data-based method in materials…

系统与控制 · 电气工程与系统科学 2025-09-24 Anna Jarosz-Kozyro , Jerzy Baranowski

Condition-Based Maintenance is pivotal in enabling the early detection of potential failures in engineering systems, where precise prediction of the Remaining Useful Life is essential for effective maintenance and operation. However, a…

机器学习 · 计算机科学 2024-06-21 Miguel Fernandes , Catarina Silva , Alberto Cardoso , Bernardete Ribeiro