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Related Concept Videos

Ranks01:02

Ranks

219
Unlike parametric methods, nonparametric statistics are ideal for nominal and ordinal data, requiring fewer assumptions about the population's nature or distribution. This makes nonparametric methods easier to apply and interpret, as they do not depend on parameters like mean or standard deviation. One common approach in nonparametric analysis is to sort data according to a specific criterion. For instance, we might arrange weather data from hottest to coldest days in a month or rank cities...
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Reducing Line Loss01:18

Reducing Line Loss

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In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss...
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Wilcoxon Rank-Sum Test01:21

Wilcoxon Rank-Sum Test

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The Wilcoxon rank-sum test, also known as the Mann-Whitney U test, is a nonparametric test used to determine if there is a significant difference between the distributions of two independent samples. This test is designed specifically for two independent populations and has the following key requirements:
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Improving Translational Accuracy02:07

Improving Translational Accuracy

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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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Friedman Two-way Analysis of Variance by Ranks01:21

Friedman Two-way Analysis of Variance by Ranks

130
Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures...
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Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

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In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
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Deep Neural Networks for Image-Based Dietary Assessment
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Optimization of Rank Losses for Image Retrieval.

Elias Ramzi, Nicolas Audebert, Clement Rambour

    IEEE Transactions on Pattern Analysis and Machine Intelligence
    |March 4, 2025
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel framework for optimizing rank losses in deep learning for image retrieval. It tackles non-differentiability and non-decomposability, enhancing metrics like average precision (AP) and recall at k (R@k).

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    Area of Science:

    • Computer Science
    • Machine Learning
    • Artificial Intelligence

    Background:

    • Standard image retrieval evaluation relies on ranking metrics like average precision (AP), recall at k (R@k), and normalized discounted cumulative gain (NDCG).
    • End-to-end training of deep neural networks with rank losses faces challenges due to non-differentiability and non-decomposability.

    Purpose of the Study:

    • To develop a general framework for robust and decomposable rank losses optimization in deep neural networks.
    • To address the limitations of current methods in training models with ranking-based evaluation metrics.

    Main Methods:

    • Proposed a general surrogate for the ranking operator, SupRank, which is amenable to stochastic gradient descent and provides an upper bound for rank losses.
    • Introduced a loss function to reduce the decomposability gap between batch approximations and full training set values of rank losses.
    • Extended the framework to hierarchical image retrieval, introducing hierarchical average precision (H-AP).

    Main Results:

    • The SupRank surrogate enables robust training for deep neural networks using rank losses.
    • The proposed loss function effectively bridges the gap in decomposability for rank losses.
    • The framework successfully applied to AP and R@k metrics, and extended for hierarchical image retrieval.
    • Developed the first hierarchical landmarks retrieval dataset using a semi-automatic pipeline on Google Landmarks v2.

    Conclusions:

    • The developed framework offers a robust and decomposable approach to optimizing rank losses for deep learning models in image retrieval.
    • The framework's applicability to standard and hierarchical metrics, along with the creation of a new dataset, advances the field of image retrieval research.