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

Group Polarization01:01

Group Polarization

36.1K
Group polarization is the strengthening of an original group attitude following the discussion of views within a group (Teger & Pruitt, 1967). That is, if a group initially favors a viewpoint, after discussion the group consensus is likely a stronger endorsement of the viewpoint. Conversely, if the group was initially opposed to a viewpoint, group discussion would likely lead to stronger opposition.
36.1K
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

115
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
115
Molecular Shape and Polarity03:37

Molecular Shape and Polarity

63.3K
Dipole Moment of a Molecule
63.3K
Hückel's Rule Diagram of π MOs: Frost Circle01:08

Hückel's Rule Diagram of π MOs: Frost Circle

4.9K
The Frost circle or the inscribed polygon method is a graphical method for determining the relative energies of π molecular orbitals (MOs) for planar, fully conjugated, and monocyclic compounds. This method was first described by A. A. Frost and Boris Musulin in 1953.
A Frost circle is constructed by drawing a polygon whose number of edges is equal to the number of carbons of the given cyclic system, with one of the vertices pointing down. Then, a circle is drawn enclosing the polygon so...
4.9K
Fischer Projections02:18

Fischer Projections

14.3K
Learning to draw Fischer projections of molecules and understanding their relevance plays a crucial role in the visual depiction of organic molecules. A Fischer projection is a two-dimensional projection on a planar surface to simplify the three-dimensional wedge–dash representation of molecules. This is especially helpful in the case of molecules with multiple chiral centers that can be difficult to draw. Here, all the bonds of interest are represented as horizontal or vertical lines.
14.3K
Vector Algebra: Method of Components01:08

Vector Algebra: Method of Components

16.9K
It is cumbersome to find the magnitudes of vectors using the parallelogram rule or using the graphical method to perform mathematical operations like addition, subtraction, and multiplication. There are two ways to circumvent this algebraic complexity. One way is to draw the vectors to scale, as in navigation, and read approximate vector lengths and angles (directions) from the graphs. The other way is to use the method of components.
In many applications, the magnitudes and directions of...
16.9K

You might also read

Related Articles

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

Sort by
Same author

Cover cropping enhances fruit quality in protected citrus cultivation by modulating rhizosphere microbiome and iron availability.

Frontiers in plant science·2026
Same author

Highly Dissymmetric and Multicolor Circularly Polarized Organic Hyperafterglow.

Angewandte Chemie (International ed. in English)·2026
Same author

Advanced Electrolyte Materials Design for High-Energy Lithium Metal Batteries Beyond 500 Wh Kg<sup>-1</sup>.

Advanced materials (Deerfield Beach, Fla.)·2026
Same author

CORO1A links inflammatory chondrocyte subpopulations to immune microenvironment alterations in osteoarthritis: an integrative multi-omics and single-cell study.

Frontiers in immunology·2026
Same author

An SMC-domain protein regulates eupyrene spermiogenesis and sperm migration in a cosmopolitan insect, Plutella xylostella.

Journal of insect physiology·2026
Same author

Ductile alloys offering 100 MPa tensile strength at 2,400 °C.

Nature·2026
Same journal

Deep learning model to predict COPD hospital admissions based on meteorological data: a medical meteorological forecast.

Frontiers in big data·2026
Same journal

Where diverse populations gather: transit accessibility and the spatial structure of social mixing.

Frontiers in big data·2026
Same journal

Inner layer security reinforcement for instant payment systems: a dual layer encryption-steganography evaluation in Brunei's digital payment context.

Frontiers in big data·2026
Same journal

Measuring the impact of virtualization and containerization on the environment when using GPUs for processing the AI models.

Frontiers in big data·2026
Same journal

Using artificial intelligence to improve governance and public services in Africa.

Frontiers in big data·2026
Same journal

Case count metric for comparative analysis of entity resolution results.

Frontiers in big data·2026
See all related articles

Related Experiment Video

Updated: Oct 7, 2025

Author Spotlight: Non-Invasive Imaging of Complex Bio-Structures Using Polarization-Sensitive Two-Photon Microscopy
05:54

Author Spotlight: Non-Invasive Imaging of Complex Bio-Structures Using Polarization-Sensitive Two-Photon Microscopy

Published on: September 8, 2023

1.4K

Computational Modeling of Hierarchically Polarized Groups by Structured Matrix Factorization.

Dachun Sun1, Chaoqi Yang1, Jinyang Li1

  • 1Computer Science Department, University of Illinois at Urbana-Champaign, Urbana, IL, United States.

Frontiers in Big Data
|January 10, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a new algorithm to model hierarchically polarized groups on social media by detecting agreement and disagreement. The enhanced Non-negative Matrix Factorization (NMF) model effectively represents nested belief structures.

Keywords:
belief estimationhierarchicalmatrix factorizationpolarizationunsupervised

More Related Videos

Author Spotlight: Unveiling the Potential of VSFG Microscopy in Studying Mesoscopically Heterogeneous Self-Assembled Structures
08:49

Author Spotlight: Unveiling the Potential of VSFG Microscopy in Studying Mesoscopically Heterogeneous Self-Assembled Structures

Published on: December 1, 2023

1.6K
Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms
08:51

Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms

Published on: November 1, 2019

5.8K

Related Experiment Videos

Last Updated: Oct 7, 2025

Author Spotlight: Non-Invasive Imaging of Complex Bio-Structures Using Polarization-Sensitive Two-Photon Microscopy
05:54

Author Spotlight: Non-Invasive Imaging of Complex Bio-Structures Using Polarization-Sensitive Two-Photon Microscopy

Published on: September 8, 2023

1.4K
Author Spotlight: Unveiling the Potential of VSFG Microscopy in Studying Mesoscopically Heterogeneous Self-Assembled Structures
08:49

Author Spotlight: Unveiling the Potential of VSFG Microscopy in Studying Mesoscopically Heterogeneous Self-Assembled Structures

Published on: December 1, 2023

1.6K
Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms
08:51

Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms

Published on: November 1, 2019

5.8K

Area of Science:

  • Computational Social Science
  • Artificial Intelligence
  • Natural Language Processing

Background:

  • Social media platforms exhibit complex group dynamics, including hierarchical polarization.
  • Existing models often struggle to capture nested agreement and disagreement within groups.

Purpose of the Study:

  • To develop and evaluate an enhanced algorithm for modeling hierarchically polarized groups on social media.
  • To computationally represent nested patterns of agreement and disagreement.

Main Methods:

  • An enhanced unsupervised Non-negative Matrix Factorization (NMF) algorithm was developed.
  • The NMF algorithm was augmented with a language model and a proof of orthogonality.
  • The approach was evaluated on synthetic and real-world social media datasets.

Main Results:

  • The algorithm successfully detects and hierarchically decomposes overlapping beliefs.
  • It accurately represents nested agreement and disagreement structures within groups.
  • Outperforms state-of-the-art methods in flat polarization scenarios for polarization detection and stance separation.

Conclusions:

  • The enhanced NMF algorithm provides a robust method for modeling complex group polarization.
  • This work advances computational approaches to understanding social media group dynamics and belief structures.