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Sampling Distribution01:12

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Given simple random samples of size n from a given population with a measured characteristic such as mean, proportion, or standard deviation for each sample, the probability distribution of all the measured characteristics is called a sampling distribution. How much the statistic varies from one sample to another is known as the sampling variability of a statistic. You typically measure the sampling variability of a statistic by its standard error. The standard error of the mean is an example...
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Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
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A sample refers to a smaller subset representative of a larger population. In analytical chemistry, studying or analyzing an entire population is often impractical or impossible. Therefore, samples are used to draw inferences and generalize the whole population. The sampling method selects individuals or items from a population to create a sample. Standard sampling methods include random, judgemental, systematic, stratified, and cluster sampling. 
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Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. Data are the result of sampling from a population. The sampling method ensures that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest. Among the various sampling methods used by...
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The z and the Student t distribution estimate the population mean using the sample mean and standard deviation. However, to decide which distribution to use for a calculation, one needs to determine the sample size, the nature of the distribution, and whether the population standard deviation is known. If the population standard deviation is known and the population is normally distributed, or if the sample size is greater than 30, the z distribution is preferred. The Student t distribution is...
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Sampling materials are classified into three main types: solid, liquid, and gas.
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One-Shot Averaging for Distributed TD(λ) Under Markov Sampling.

Haoxing Tian1, Ioannis Ch Paschalidis2, Alex Olshevsky2

  • 1Department of Electrical Engineering, Boston University, Boston, MA, USA.

IEEE Control Systems Letters
|February 14, 2025
PubMed
Summary
This summary is machine-generated.

Distributed reinforcement learning achieves linear speedup for policy evaluation using TD(λ) methods. N agents can evaluate policies N times faster through independent sampling and a novel "one shot averaging" technique, reducing communication overhead.

Keywords:
Multi-agent systemReinforcement LearningTemporal Difference Learning

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Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Distributed Computing

Background:

  • Reinforcement learning (RL) is crucial for sequential decision-making.
  • Policy evaluation is a fundamental task in RL.
  • Distributed setups offer potential for faster computation but face communication challenges.

Purpose of the Study:

  • To investigate distributed policy evaluation using TD(λ) methods.
  • To achieve linear speedup in distributed RL settings.
  • To reduce communication overhead in distributed policy evaluation.

Main Methods:

  • A distributed setup where each agent has a copy of the Markov Decision Process.
  • Independent transition sampling by each agent.
  • TD(λ) algorithm for policy evaluation.
  • A novel "one shot averaging" procedure for aggregating agent results.

Main Results:

  • Achieved a linear speedup for TD(λ) policy evaluation in a distributed setting.
  • Demonstrated that N agents can evaluate a policy N times faster.
  • Showed that the linear speedup is achievable when the target accuracy is small enough.
  • The "one shot averaging" method significantly reduces communication requirements.

Conclusions:

  • Distributed reinforcement learning with independent sampling and "one shot averaging" enables efficient policy evaluation.
  • Linear speedup is attainable with reduced communication, outperforming previous distributed approaches.
  • This method offers a practical approach for large-scale policy evaluation in RL.