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Uncertainty: Overview00:59

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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.
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Uncertainty: Confidence Intervals00:54

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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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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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Propagation of Uncertainty from Systematic Error01:10

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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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A confidence interval is a better estimate of the population than a point estimate, as it uses a range of values from a sample instead of a single value.
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 The probability of a random variable x  is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
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    Latent-Posterior Bayesian Neural Networks (LP-BNNs) offer an efficient solution for deep learning models, improving robustness and uncertainty estimation without heavy computational costs. This method enables scalable Bayesian deep learning for complex computer vision tasks.

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    Area of Science:

    • Artificial Intelligence
    • Computer Vision
    • Machine Learning

    Background:

    • Bayesian Neural Networks (BNNs) are ideal for improving robustness and predictive uncertainty but are often unscalable or require restrictive assumptions.
    • Existing BNNs are limited to small networks or rely on parameter independence, hindering their application in complex architectures.
    • Deep Ensembles offer an alternative but incur significant computational costs due to linear scaling with the number of networks.

    Purpose of the Study:

    • To develop efficient deep Bayesian Neural Networks (BNNs) suitable for complex computer vision architectures and tasks.
    • To reduce the assumptions on network parameters while maintaining scalability.
    • To enable accurate uncertainty estimation and improve robustness in deep learning models.

    Main Methods:

    • Leveraged Variational Autoencoders (VAEs) to learn parameter interactions and latent distributions within each network layer.
    • Introduced the Latent-Posterior BNN (LP-BNN) approach, compatible with the BatchEnsemble method for enhanced efficiency.
    • Focused on enabling BNNs for large-scale computer vision models like ResNet-50 DeepLabv3+.

    Main Results:

    • LP-BNNs demonstrated high computational and memory efficiency during both training and testing.
    • Achieved competitive performance across multiple metrics in challenging benchmarks for image classification and semantic segmentation.
    • Showcased effectiveness in out-of-distribution detection tasks, highlighting improved model robustness.

    Conclusions:

    • LP-BNNs provide a scalable and efficient solution for incorporating Bayesian principles into deep neural networks.
    • The VAE-based approach effectively models parameter distributions and interactions, overcoming limitations of traditional BNNs.
    • This method offers a promising direction for robust and uncertainty-aware deep learning in computer vision.