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Related Concept Videos

Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

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...
Uncertainty: Overview00:59

Uncertainty: Overview

In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

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 particular...
Uncertainty: Confidence Intervals00:54

Uncertainty: Confidence Intervals

The confidence interval is the range of values around the mean that contains the true mean. It is expressed as a probability percentage. The interpretation of a 95% confidence interval, for instance, is that the statistician is 95% confident that the true mean falls within the interval. The upper and lower limits of this range are known as confidence limits. The confidence limits for the true mean are estimated from the sample's mean, the standard deviation, and the statistical factor 't,' or...
Observational Learning01:12

Observational Learning

Albert Bandura's observational learning, also known as imitation or modeling, occurs when a person observes and imitates another's behavior. It is a quicker process than operant conditioning. A well-known example is the Bobo doll study, where children who saw an adult acting aggressively towards the doll were more likely to act aggressively when left alone, compared to those who observed a nonaggressive adult. Many psychologists view observational learning as a form of latent learning because...
Introduction to Learning01:18

Introduction to Learning

Learning is the process of acquiring knowledge or skills through practice or experience, leading to long-lasting behavioral changes. This acquisition occurs through interaction with the environment and requires practice or experience. For instance, mastering a skill such as surfing requires considerable practice and experience, highlighting the essential role of repeated interactions with the environment in learning.
In contrast to learned behaviors, unlearned behaviors such as crying, sexual...

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Related Experiment Videos

A bayesian foundation for individual learning under uncertainty.

Christoph Mathys1, Jean Daunizeau, Karl J Friston

  • 1Laboratory for Social and Neural Systems Research, Department of Economics, University of Zurich Zurich, Switzerland.

Frontiers in Human Neuroscience
|June 2, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces a new hierarchical Bayesian framework for adaptive behavior, enabling efficient, real-time individual learning. It integrates reinforcement learning principles and accounts for individual differences in learning under uncertainty.

Keywords:
acetylcholinedecision-makingdopaminehierarchical modelsneuromodulationserotoninvariational Bayesvolatility

Related Experiment Videos

Area of Science:

  • Computational neuroscience
  • Cognitive science
  • Machine learning

Background:

  • Current computational learning models like reinforcement learning (RL) and Bayesian learning have limitations.
  • Bayesian models often struggle with inter-individual variability and complex calculations for online learning.

Purpose of the Study:

  • To introduce a generic hierarchical Bayesian framework for individual learning.
  • To model learning under multiple forms of uncertainty, including environmental volatility and perceptual uncertainty.
  • To derive efficient, trial-by-trial update equations interpretable within RL.

Main Methods:

  • Developed a hierarchical Bayesian framework with Gaussian random walks across levels.
  • Employed variational Bayes with a mean-field approximation and a novel posterior energy function approximation.
  • Derived analytical, efficient trial-by-trial update equations.

Main Results:

  • The model enables real-time, analytical learning updates.
  • It provides a natural interpretation in terms of reinforcement learning.
  • Includes parameters for individual differences in learning, such as precision-weighting of prediction error.

Conclusions:

  • The framework offers a novel foundation for understanding normal and pathological learning.
  • It contextualizes reinforcement learning within a broader Bayesian scheme.
  • The model's generality allows for diverse applications in discrete/continuous states and varying uncertainty levels.