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

Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

1.5K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
1.5K
Central Limit Theorem01:14

Central Limit Theorem

18.9K
The central limit theorem, abbreviated as clt, is one of the most powerful and useful ideas in all of statistics. The central limit theorem for sample means says that if you repeatedly draw samples of a given size and calculate their means, and create a histogram of those means, then the resulting histogram will tend to have an approximate normal bell shape. In other words, as sample sizes increase, the distribution of means follows the normal distribution more closely.
The sample size, n, that...
18.9K
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

8.9K
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
8.9K
Extraction: Partition and Distribution Coefficients01:14

Extraction: Partition and Distribution Coefficients

4.1K
The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an...
4.1K
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

8.7K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
8.7K
Cable Subjected to a Distributed Load01:24

Cable Subjected to a Distributed Load

965
The analysis of suspension bridges is a complex and critical process that involves multiple factors, including the shape and tension of the main cables. The main cables of suspension bridges are subjected to distributed loads, which result in changes in tensile forces and deformation of the cable. These loads must be carefully considered to ensure that the bridge is safe and capable of supporting the weight of different loads.
965

You might also read

Related Articles

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

Sort by
Same author

SCKM: Symmetric Co-Skew Moment for User Selection in Federated Learning.

Entropy (Basel, Switzerland)·2026
Same author

A Constrained Talagrand Transportation Inequality with Applications to Rate-Distortion-Perception Theory.

Entropy (Basel, Switzerland)·2025
Same author

A Monotone Path Proof of an Extremal Result for Long Markov Chains.

Entropy (Basel, Switzerland)·2020
Same author

Effects of different external carbon sources and electron acceptors on interactions between denitrification and phosphorus removal in biological nutrient removal processes.

Journal of Zhejiang University. Science. B·2018
Same author

JAM3 maintains leukemia-initiating cell self-renewal through LRP5/AKT/β-catenin/CCND1 signaling.

The Journal of clinical investigation·2018
Same author

Circulating exosomes contain protein biomarkers of metastatic non-small-cell lung cancer.

Cancer science·2018

Related Experiment Video

Updated: Nov 27, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

952

Asymptotic Rate-Distortion Analysis of Symmetric Remote Gaussian Source Coding: Centralized Encoding vs. Distributed

Yizhong Wang1, Li Xie2, Siyao Zhou3

  • 1College of Electronic Information and Automation, Tianjin University of Science and Technology, Tianjin 300222, China.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary

This study analyzes rate-distortion for Gaussian sources with noisy components. It characterizes the performance gap between centralized and distributed encoding, especially for large numbers of components.

Keywords:
CEO problemmean squared errormultiterminal source codingrate-distortionremote source coding

More Related Videos

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
09:43

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

10.2K
Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

8.4K

Related Experiment Videos

Last Updated: Nov 27, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

952
Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
09:43

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

10.2K
Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

8.4K

Area of Science:

  • Information Theory
  • Signal Processing
  • Multivariate Statistics

Background:

  • Gaussian sources are fundamental in information theory.
  • Understanding compression limits under noise is crucial for data transmission.
  • Rate-distortion theory quantifies the fundamental trade-off between compression rate and reconstruction accuracy.

Purpose of the Study:

  • To analyze the rate-distortion performance for a symmetric multivariate Gaussian source corrupted by noise.
  • To compare centralized and distributed encoding strategies for such sources.
  • To characterize the difference in performance between these two encoding schemes.

Main Methods:

  • Mathematical analysis of rate-distortion functions.
  • Derivation of performance bounds for Gaussian sources.
  • Asymptotic analysis in the limit of a large number of components (large ℓ).

Main Results:

  • The study derives rate-distortion functions for both centralized and distributed encoding scenarios.
  • A simple characterization of the gap between these two functions is established.
  • The findings are particularly relevant for the large ℓ limit.

Conclusions:

  • The choice between centralized and distributed encoding impacts rate-distortion performance.
  • The performance gap can be precisely understood, especially for high-dimensional sources.
  • This research provides theoretical insights into optimal data compression strategies under noise.