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Aggregate classification is generally based on its size, petrographic characteristics, weight, and source. Size classification ranges from coarse to fine aggregates, defined by the size of the particles. Coarse aggregates are particles that do not pass through ASTM sieve No. 4, and aggregates that pass through the sieve are fine aggregates.
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This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
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The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data values and the mean.
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In practice, we rarely know the population standard deviation. In the past, when the sample size was large, this did not present a problem to statisticians. They used the sample standard deviation s as an estimate for σ and proceeded as before to calculate a confidence interval with close enough results. However, statisticians ran into problems when the sample size was small. A small sample size caused inaccuracies in the confidence interval.
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Deep Neural Networks for Image-Based Dietary Assessment
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Robust Aggregation for Federated Learning by Minimum γ-Divergence Estimation.

Cen-Jhih Li1, Pin-Han Huang2, Yi-Ting Ma1

  • 1Institute of Statistical Science, Academia Sinica, Taipei City 11529, Taiwan.

Entropy (Basel, Switzerland)
|May 28, 2022
PubMed
Summary
This summary is machine-generated.

Federated learning uses a new robust aggregation method, gamma-mean, to improve global model training. This method mitigates Byzantine client attacks by assigning fewer weights, enhancing data security and model integrity.

Keywords:
byzantine problemdensity power divergencefederated learninginfluence functionrobustnessγ-divergence

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Area of Science:

  • Machine Learning
  • Distributed Systems
  • Data Security

Background:

  • Federated learning enables collaborative model training without data sharing.
  • Traditional aggregation methods like sample mean are vulnerable to outliers and Byzantine attacks.
  • Existing robust methods include median and trimmed-mean, but a novel approach is needed.

Purpose of the Study:

  • To introduce a novel robust aggregation method, gamma-mean, for federated learning.
  • To enhance the resilience of federated learning against malicious clients (Byzantine problem).
  • To provide a data-driven weighting scheme for improved aggregation.

Main Methods:

  • Proposing gamma-mean, a minimum divergence estimation based on density power divergence.
  • Implementing a data-driven weighting scheme controlled by the gamma value.
  • Analyzing robustness using influence function and presenting numerical results.

Main Results:

  • Gamma-mean effectively mitigates the influence of Byzantine clients.
  • The proposed method demonstrates robustness against malicious data poisoning.
  • Numerical results validate the effectiveness of gamma-mean.

Conclusions:

  • Gamma-mean offers a robust and effective aggregation strategy for federated learning.
  • This method enhances security and reliability in collaborative model training.
  • The data-driven weighting scheme provides tunable robustness.