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Related Concept Videos

Variance01:15

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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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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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Measures of variability are statistical metrics that reveal the dispersion pattern within a dataset. They are pivotal in biostatistics, providing insights into the heterogeneity within health and biological data. Variability signifies the degree to which data points diverge from one another, helping researchers understand the potential range of values and associated uncertainty within the data.
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A complete procedure to test a claim about population standard deviation or population variance is explained here.
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Relative risk (RR) is a statistical measure commonly used in epidemiology to compare the likelihood of a particular event occurring between two groups. This metric is important for evaluating the relationship between exposure to a specific risk factor and the probability of a particular outcome. It plays a crucial role in medical research, public health studies, and risk assessment. Relative risk quantifies how much more (or less) likely an event is to occur in an exposed group compared to an...
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Variance Regularized Counterfactual Risk Minimizationvia Variational Divergence Minimization.

Hang Wu1, May D Wang1

  • 1Wallace H.Countler Department of Biomedical Engineering, Georgia Institute of Technology and Emory University, Atlanta, GA, 30332, USA.

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Summary

Off-policy learning improves decision-making using past data. This study introduces a new principle for off-policy learning with bandit feedback, reducing generalization error and improving performance with neural networks.

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Area of Science:

  • Machine Learning
  • Reinforcement Learning
  • Artificial Intelligence

Background:

  • Off-policy learning evaluates and improves policies from historical data, crucial due to the cost and impact of on-policy evaluation.
  • A key challenge in off-policy learning is developing low-variance counterfactual estimators to minimize generalization error.

Purpose of the Study:

  • To present a novel counterfactual learning principle for off-policy learning with bandit feedback.
  • To regularize generalization error by minimizing distribution divergence between logging and new policies.
  • To eliminate the need for sample variance computation in training.

Main Methods:

  • Inspired by learning bounds for importance sampling.
  • Developed a new principle for off-policy learning with bandit feedback.
  • Utilized variational divergence minimization for end-to-end training with neural network policies.

Main Results:

  • The proposed method effectively regularizes generalization error.
  • Demonstrated significant performance improvements over conventional baseline algorithms.
  • Achieved results consistent with theoretical findings.

Conclusions:

  • The new counterfactual learning principle offers an effective approach for off-policy learning.
  • Variational divergence minimization with neural networks provides a powerful tool for improving policy evaluation and learning.
  • This work advances the field of off-policy learning by addressing key challenges in variance reduction and generalization.