Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Precipitate Formation and Particle Size Control01:16

Precipitate Formation and Particle Size Control

992
In precipitation gravimetry, the precipitating agent should react specifically or selectively with the analyte. While a specific reagent reacts with the analyte alone, a selective reagent can react with a limited number of chemical species.
The obtained precipitate should be either a pure substance of known composition or easily converted to one by a simple process, such as ignition or drying. In addition, the precipitate should be insoluble and easily filterable. In general, filterability...
992
Isochoric and Isobaric Processes01:21

Isochoric and Isobaric Processes

3.7K
A thermodynamic process that occurs at constant volume is called an isochoric process. According to the first law of thermodynamics, heat supplied or removed from the system is partially utilized to perform work and change the internal energy of the system. However, in an isochoric process, the volume remains constant. Hence, the work done by the system is zero. Therefore, the exchange of heat changes the internal energy of the system only. 
Suppose 1000 g of water is heated from 40...
3.7K
Precipitation Processes01:12

Precipitation Processes

609
The experimental conditions in a gravimetric analysis should be optimized to maximize the particle size and purity of the obtained precipitate. Ideally, the concentration of the precipitating reagent should be low with effective stirring to maintain low relative supersaturation for the growth of large crystals. In homogeneous precipitation, the precipitant is slowly generated by a chemical reaction in the solution to avoid local reagent excesses. For example, urea decomposes gradually to...
609
Cyclic Processes And Isolated Systems01:19

Cyclic Processes And Isolated Systems

2.9K
A thermodynamic system with zero heat exchange and work is an isolated system. For these systems, the internal energy remains constant.
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state. 
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
2.9K
Reversible and Irreversible Processes01:14

Reversible and Irreversible Processes

4.6K
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
4.6K
Shape and Texture of Coarse Aggregate01:25

Shape and Texture of Coarse Aggregate

290
Aggregate shape is classified based on the relative sharpness or roundness of the edges and corners. This classification includes categories like rounded, angular, elongated, and flaky, each with specific characteristics. Rounded aggregates, fully shaped by attrition, are typical of river or seashore gravel, while angular aggregates, such as crushed rock, have well-defined edges. Aggregates that are elongated and flaky are less desirable, as they can reduce the workability and strength of...
290

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

The activity of immune checkpoint inhibitors in patients with recurrent cervical cancer developed in previously irradiated field: clinical and immunohistochemical investigations.

Journal of gynecologic oncology·2025
Same author

Evaluation of hypermobile teeth deviation during impression taking in a partially edentulous dental arch: An in vitro study comparing digital and conventional impression techniques.

Journal of prosthodontic research·2024
Same author

Estimating effective reproduction number revisited.

Infectious Disease Modelling·2023
Same author

Multivariate epidemic count time series model.

PloS one·2023
Same author

Perioperative Serum Creatinine Change and Delayed Urologic Complications Following Total Laparoscopic Hysterectomy for Benign Indications.

Gynecology and minimally invasive therapy·2022
Same author

Oncologic outcomes in elderly patients who underwent hysterectomy for endometrial cancer: a multi-institutional survey in Kinki District, Japan.

International journal of clinical oncology·2022
Same journal

Research on a Regional Availability Evaluation Model for Road-Area High-Entropy Energy Based on Synergy Factors.

Entropy (Basel, Switzerland)·2026
Same journal

Atmospheric Turbulence Channel Modeling and Performance Analysis of a CO-ZP-OFDM Coherent Optical Communication System for UAV Air-to-Ground Scenarios.

Entropy (Basel, Switzerland)·2026
Same journal

Information Geometry and Asymptotic Theory for SMML Estimators.

Entropy (Basel, Switzerland)·2026
Same journal

Correlation Entropy and Power-Law Kinetics.

Entropy (Basel, Switzerland)·2026
Same journal

Research on the Contagion of Systemic Financial Risk Under the Impact of Climate Risks-From the Perspective of Complex Networks and Machine Learning.

Entropy (Basel, Switzerland)·2026
Same journal

The Statistical-Mechanical Meaning of the Wave Function of Quantum Mechanics.

Entropy (Basel, Switzerland)·2026
See all related articles

Related Experiment Video

Updated: Sep 18, 2025

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

Published on: February 8, 2014

12.4K

Coarse-Grained Hawkes Processes.

Shinsuke Koyama1

  • 1Department of Interdisciplinary Statistical Mathematics, The Institute of Statistical Mathematics, Tokyo 190-8562, Japan.

Entropy (Basel, Switzerland)
|June 26, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a coarse-grained Hawkes process model for analyzing aggregated event data. The model accurately captures statistical characteristics and efficiently infers underlying processes from binned observations.

Keywords:
Hawkes processaggregated datacoarse-grained modelingcount time series

More Related Videos

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.6K
High-resolution Single Particle Analysis from Electron Cryo-microscopy Images Using SPHIRE
13:28

High-resolution Single Particle Analysis from Electron Cryo-microscopy Images Using SPHIRE

Published on: May 16, 2017

50.5K

Related Experiment Videos

Last Updated: Sep 18, 2025

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

Published on: February 8, 2014

12.4K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.6K
High-resolution Single Particle Analysis from Electron Cryo-microscopy Images Using SPHIRE
13:28

High-resolution Single Particle Analysis from Electron Cryo-microscopy Images Using SPHIRE

Published on: May 16, 2017

50.5K

Area of Science:

  • Statistics
  • Data Analysis
  • Time Series Analysis

Background:

  • Real-world event data analysis often involves aggregated counts instead of precise timestamps due to measurement limitations.
  • Multivariate Hawkes processes are crucial for modeling self-exciting event data.

Purpose of the Study:

  • To propose a modeling framework for aggregated event data from multivariate Hawkes processes.
  • To develop an efficient method for inferring underlying Hawkes processes from bin-count data.

Main Methods:

  • Development of the coarse-grained Hawkes process model.
  • Capturing second-order statistical characteristics of binned Hawkes process data.
  • Inference of Hawkes process parameters from bin-count observations.

Main Results:

  • The coarse-grained Hawkes process model effectively represents aggregated event data.
  • The proposed inference method performs comparably to or better than existing techniques.
  • The method maintains computational efficiency in parameter estimation.

Conclusions:

  • The coarse-grained Hawkes process provides a robust framework for analyzing binned event data.
  • The developed inference method offers an efficient and effective solution for Hawkes process modeling.
  • This approach addresses practical limitations in real-world event data analysis.