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Related Concept Videos

Confidence Coefficient01:24

Confidence Coefficient

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The confidence coefficient is also known as the confidence level or degree of confidence. It is the percent expression for the probability, 1-α, that the confidence interval contains the true population parameter assuming that the confidence interval is obtained after sufficient unbiased sampling; for example, if the CL = 90%, then in 90 out of 100 samples the interval estimate will enclose the true population parameter. Here α is the area under the curve, distributed equally under...
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Calibration Curves: Linear Least Squares01:20

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A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
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Calibration Curves: Correlation Coefficient01:10

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In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction of association between two variables. The correlation coefficient value ranges from −1 to +1. A value of +1 indicates a perfect positive linear correlation, −1 denotes a perfect negative correlation, and 0 implies no correlation between the two variables. A positive correlation value establishes that as one variable increases, the...
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Aggregates Classification01:29

Aggregates Classification

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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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Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

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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...
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Confidence Intervals01:21

Confidence Intervals

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An unbiased point estimate is often insufficient to predict a population estimate, such as population mean or population proportion. In this scenario, a confidence interval is used. A confidence interval is an estimate similar to a  sample proportion. However, unlike the point estimate which is a single value, the confidence interval  contains a range of values. These values have lower and upper limits, known as confidence limits, and can be designated as L1 and L2, respectively.
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Related Experiment Videos

Calibrating deep classifiers with dynamic confidence propagation and adaptive normalization.

Peihua He1, Wei Fu2, Lufeng Wang2

  • 1School of Artificial Intelligence and Big Data, Chongqing Industry Polytechnic University, Chongqing, 401120, China. hepeihua7@foxmail.com.

Scientific Reports
|March 31, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces Dynamic Confidence Propagation and Alternating Normalization (DCP-AN) to improve deep neural network confidence calibration in dynamic scenarios. DCP-AN enhances accuracy and reduces errors, offering efficient real-time deployment.

Keywords:
Alternating normalizationDeep neural networksDynamic confidence propagationSpectral convergenceTemperature field

Related Experiment Videos

Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Computer Vision

Background:

  • Deep neural networks (DNNs) show progress in confidence calibration.
  • Conventional methods (e.g., temperature scaling, histogram binning) struggle in dynamic, open-world settings due to static parameters and data assumptions.

Purpose of the Study:

  • To address limitations of existing confidence calibration methods in dynamic environments.
  • To propose a novel framework, Dynamic Confidence Propagation and Alternating Normalization (DCP-AN), for improved DNN calibration.

Main Methods:

  • Introduced a bidirectional alternating propagation mechanism for sample-class confidence synergy.
  • Implemented entropy-driven horizontal and KL-divergence-weighted vertical normalization.
  • Developed an adaptive temperature field with dynamic coefficients for differential calibration.
  • Ensured theoretical convergence within 15 iterations.

Main Results:

  • Achieved a 10.3% boost in tail-class accuracy on ImageNet-LT.
  • Reduced expected calibration error by 56% on ImageNet-LT.
  • Decreased domain discrepancy by 24% and improved target domain accuracy by 5.5% in cross-domain adaptation.
  • Demonstrated low GPU latency (1.05 ms) and memory overhead (<0.5 MB).

Conclusions:

  • DCP-AN significantly enhances DNN confidence calibration in dynamic and open-world scenarios.
  • The framework offers substantial improvements in accuracy and calibration error reduction.
  • DCP-AN is computationally efficient and suitable for real-time applications.