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Uncertainty: Overview00:59

Uncertainty: Overview

1.1K
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.
1.1K
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

1.2K
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...
1.2K
Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

968
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...
968
Uncertainty: Confidence Intervals00:54

Uncertainty: Confidence Intervals

5.8K
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...
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Associative Learning01:27

Associative Learning

638
Associative learning is a fundamental concept in behavioral psychology, wherein a connection is established between two stimuli or events, leading to a learned response. This process is critical in understanding how behaviors are acquired and modified. Conditioning, the mechanism through which associations are formed, can be divided into two main types: classical conditioning and operant conditioning, each elucidating different aspects of associative learning.
Classical conditioning, also known...
638
Improving Translational Accuracy02:07

Improving Translational Accuracy

12.0K
Base complementarity between the three base pairs of mRNA codon and the tRNA anticodon is not a failsafe mechanism. Inaccuracies can range from a single mismatch to no correct base pairing at all. The free energy difference between the correct and nearly correct base pairs can be as small as 3 kcal/ mol. With complementarity being the only proofreading step, the estimated error frequency would be one wrong amino acid in every 100 amino acids incorporated. However, error frequencies observed in...
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Related Experiment Video

Updated: Oct 4, 2025

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness
03:14

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness

Published on: December 6, 2024

706

Aleatory-aware deep uncertainty quantification for transfer learning.

H M Dipu Kabir1, Sadia Khanam2, Fahime Khozeimeh1

  • 1Institute for Intelligent Systems Research and Innovation (IISRI), Deakin University, Australia.

Computers in Biology and Medicine
|February 8, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces an aleatory-aware deep uncertainty quantification (UQ) method for classification, addressing limitations in current deep UQ models. The novel approach quantifies uncertainty in deep neural networks (DNNs) for improved diagnostic reliability.

Keywords:
AleatoricCOVIDEpistemicHeteroscedasticPatient referralUncertainty

Related Experiment Videos

Last Updated: Oct 4, 2025

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness
03:14

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness

Published on: December 6, 2024

706

Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Medical Imaging Analysis

Background:

  • Deep neural networks (DNNs) lack credibility without uncertainty quantification (UQ).
  • Existing deep UQ classification models primarily capture epistemic uncertainty, neglecting aleatory uncertainty.
  • Reliable classification in medical imaging requires addressing both types of uncertainty.

Purpose of the Study:

  • To propose a novel aleatory-aware deep UQ method for classification problems.
  • To develop a system that quantifies both aleatory and epistemic uncertainty in DNN predictions.
  • To enhance the credibility and reliability of DNN outcomes in critical applications like medical diagnosis.

Main Methods:

  • Implemented transfer learning to train DNNs and collect numeric output posteriors.
  • Introduced an "opacity score" derived from K-nearest output posteriors to quantify aleatory uncertainty.
  • Employed an ensemble of DNNs with varied initializations and architectures (ResNet, DenseNet) to capture epistemic uncertainty.
  • Utilized pre-trained network features with fully connected layers for efficient uncertainty estimation.

Main Results:

  • The proposed method effectively quantifies aleatory uncertainty using the opacity score.
  • Epistemic uncertainty was captured by training multiple DNNs, revealing sensitivity to training parameters.
  • Demonstrated a patient referral framework leveraging the developed UQ method for improved clinical decision-making.
  • The opacity score reflects classification certainty, with probabilities converging for uncertain outcomes.

Conclusions:

  • The developed aleatory-aware deep UQ method enhances the reliability of DNNs in classification tasks.
  • This approach provides a more comprehensive understanding of prediction uncertainty, crucial for medical applications.
  • The opacity score offers a valuable metric for detecting uncertainty in X-ray image analysis.
  • The study provides open-source code for the proposed UQ method, facilitating further research and application.