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Related Concept Videos

Variance01:15

Variance

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 The deviations show how spread out the data are about the mean. A positive deviation occurs when the data value exceeds the mean, whereas a negative deviation occurs when the data value is less than the mean. If the deviations are added, the sum is always zero. So one cannot simply add the deviations to get the data spread. By squaring the deviations, the numbers are made positive; thus, their sum will also be positive.
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Model Approaches for Pharmacokinetic Data: Distributed Parameter Models01:06

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Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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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...
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The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
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To understand intra-specific interactions in populations, scientists measure the spatial arrangement of species individuals. This geographic arrangement is known as the species distribution or dispersion. Highly territorial species exhibit a uniform distribution pattern, in which individuals are spaced at relatively equal distances from one another. Species that are highly tied to particular resources, such as food or shelter, tend to concentrate around those resources, and thus exhibit a...
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DisSAGD: A Distributed Parameter Update Scheme Based on Variance Reduction.

Haijie Pan1, Lirong Zheng1

  • 1School of Information Science and Engineering, Fudan University, Yangpu District, Shanghai 200433, China.

Sensors (Basel, Switzerland)
|August 10, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces DisSAGD, a distributed stochastic gradient descent (SGD) algorithm that enhances machine learning model convergence speed and stability by reducing gradient variance. DisSAGD improves training efficiency in distributed clusters.

Keywords:
adaptive samplingdistributed clustergradient descentmachine learningvariance reduction

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Area of Science:

  • Computer Science
  • Artificial Intelligence
  • Machine Learning

Background:

  • Stochastic Gradient Descent (SGD) often suffers from slow convergence and instability due to high variance in sample gradient estimates.
  • Traditional distributed SGD methods may not fully address these issues, impacting training efficiency.

Purpose of the Study:

  • To propose a novel distributed SGD algorithm, DisSAGD, that enhances convergence speed and stability.
  • To reduce the impact of gradient variance in distributed machine learning training.

Main Methods:

  • Developed DisSAGD, a distributed SGD algorithm incorporating variance reduction techniques.
  • Implemented DisSAGD on distributed clusters using asynchronous communication for parameter sharing.
  • Introduced adaptive learning rate and sampling strategies to mitigate update lag and optimize parameter distribution.

Main Results:

  • DisSAGD effectively reduces gradient estimation errors by utilizing historical gradient variance.
  • Experiments show DisSAGD significantly decreases waiting times in loop iterations compared to traditional methods.
  • The proposed method achieves notable speed increases in distributed cluster training.

Conclusions:

  • DisSAGD offers a more stable and faster convergence solution for distributed machine learning.
  • The algorithm's variance reduction and adaptive strategies contribute to improved training performance.
  • DisSAGD demonstrates practical benefits for large-scale machine learning model training in distributed environments.