Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...

Theories of Dissolution: Diffusion Layer Model

Theories of Dissolution: Diffusion Layer Model

Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...

Three-Compartment Open Model

Three-Compartment Open Model

The three-compartment open model is a pharmacokinetic model used to describe the distribution and elimination of drugs following extravascular administration. It comprises a central compartment representing the plasma and two peripheral compartments. The highly perfused peripheral compartment represents organs and tissues with a rich blood supply, such as the liver, kidneys, and lungs. The scarcely perfused peripheral compartment represents tissues with lower blood supply, such as adipose...

Saint-Venant's Principle

Saint-Venant's Principle

The principle of Saint-Venant postulates that the stress distribution within a structural member does not rely on the precise method of load application except in the vicinity of the load application points. Consider a scenario where loads are centrally applied on two plates. In this case, the plates move toward each other without any rotation. This movement causes the member to contract in length and expand in width and thickness. Uniform deformation across all elements and maintaining...

Principle of Equivalence

Principle of Equivalence

According to Albert Einstein (1897-1955), free-falling and feeling weightless are intrinsically linked. If a person were in free-fall under gravity, for example, diving towards the Earth from an airplane, they would feel completely weightless. Similarly, a person descending in a lift may feel partially weightless. Broadly speaking, it is assumed that an object in a uniform gravitational field and an object undergoing constant acceleration in the absence of gravity are under the same...

Gestalt Psychology

Gestalt Psychology

Gestalt psychology, founded by Max Wertheimer, Kurt Koffka, and Wolfgang Kohler, emphasizes the importance of understanding perception as an organized whole. Developed as a counter to Wilhelm Wundt's structuralism, this approach posits that our perceptions are more than just the sum of sensory parts; they are comprehensive wholes where the relationships between parts define the perception. The principle "The whole is greater than the sum of its parts" encapsulates this view,...

You might also read

Related Articles

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

Sort by

Same author

Influence of stiripentol on perampanel serum levels.

Epilepsy research·2020

See all related articles

Search research articles

Related Experiment Video

Updated: Jun 10, 2025

Protocol for Data Collection and Analysis Applied to Automated Facial Expression Analysis Technology and Temporal Analysis for Sensory Evaluation

Protocol for Data Collection and Analysis Applied to Automated Facial Expression Analysis Technology and Temporal Analysis for Sensory Evaluation

Published on: August 26, 2016

A Wasserstein perspective of Vanilla GANs.

Lea Kunkel¹, Mathias Trabs¹

¹Karlsruhe Institute of Technology, Department of Mathematics, Germany.

Neural Networks : the Official Journal of the International Neural Network Society

|October 11, 2024

Summary

This study connects Vanilla Generative Adversarial Networks (GANs) to Wasserstein distance, extending theoretical results. This allows for improved convergence rates for GANs in estimating probability distributions.

Keywords:

Distribution estimation Generative adversarial networks Oracle inequality Rate of convergence Wasserstein distance

More Related Videos

The HoneyComb Paradigm for Research on Collective Human Behavior

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

Eye Tracking During Visually Situated Language Comprehension: Flexibility and Limitations in Uncovering Visual Context Effects

Eye Tracking During Visually Situated Language Comprehension: Flexibility and Limitations in Uncovering Visual Context Effects

Published on: November 30, 2018

Related Experiment Videos

Last Updated: Jun 10, 2025

Protocol for Data Collection and Analysis Applied to Automated Facial Expression Analysis Technology and Temporal Analysis for Sensory Evaluation

Protocol for Data Collection and Analysis Applied to Automated Facial Expression Analysis Technology and Temporal Analysis for Sensory Evaluation

Published on: August 26, 2016

The HoneyComb Paradigm for Research on Collective Human Behavior

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

Eye Tracking During Visually Situated Language Comprehension: Flexibility and Limitations in Uncovering Visual Context Effects

Eye Tracking During Visually Situated Language Comprehension: Flexibility and Limitations in Uncovering Visual Context Effects

Published on: November 30, 2018

Area of Science:

Machine Learning
Statistical Theory
Deep Learning

Background:

Generative Adversarial Networks (GANs) have shown empirical success, driving theoretical research.
Current statistical research primarily focuses on Wasserstein GANs, with limited results for Vanilla GANs.
Vanilla GAN theory often requires restrictive assumptions like smooth activations and equal latent/ambient dimensions.

Purpose of the Study:

To bridge the theoretical gap in understanding Vanilla GANs.
To extend existing Wasserstein GAN results to the Vanilla GAN framework.
To establish convergence rates for GANs as probability distribution estimators.

Main Methods:

Establishing a theoretical connection between Vanilla GANs and Wasserstein distance.
Developing an oracle inequality for Vanilla GANs in the Wasserstein distance framework.
Analyzing feedforward ReLU networks for approximating Lipschitz functions.

Main Results:

Existing Wasserstein GAN results are extended to Vanilla GANs.
An oracle inequality for Vanilla GANs in Wasserstein distance is derived.
Assumptions for the oracle inequality are compatible with common network architectures like feedforward ReLU networks.

Conclusions:

A quantitative result for approximating Lipschitz functions using feedforward ReLU networks is provided.
Convergence rates for both Vanilla GANs and Wasserstein GANs as probability distribution estimators are established.
The findings facilitate broader theoretical analysis of practical GAN implementations.