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Related Concept Videos

Weak Base Solutions03:21

Weak Base Solutions

25.3K
Some compounds produce hydroxide ions when dissolved by chemically reacting with water molecules. In all cases, these compounds react only partially and so are classified as weak bases. These types of compounds are also abundant in nature and important commodities in various technologies. For example, global production of the weak base ammonia is typically well over 100 metric tons annually, being widely used as an agricultural fertilizer, a raw material for chemical synthesis of other...
25.3K
Weak Acid Solutions04:02

Weak Acid Solutions

43.2K
Few compounds act as strong acids. A far greater number of compounds behave as weak acids and only partially react with water, leaving a large majority of dissolved molecules in their original form and generating a relatively small amount of hydronium ions. Weak acids are commonly encountered in nature, being the substances partly responsible for the tangy taste of citrus fruits, the stinging sensation of insect bites, and the unpleasant smells associated with body odor. A familiar example of a...
43.2K
Titration of a Weak Acid with a Weak Base01:08

Titration of a Weak Acid with a Weak Base

4.9K
Weak acids and bases do not undergo dissociation completely, and titrations between these two are rarely studied. When such studies are performed, say, for the titration of a weak acid with a weak base, the titration curve plots the change in pH as a function of the volume of base added. Take the titration of acetic acid with ammonia, for instance. During the titration, these two species form ammonium acetate and water, but the pH change is slow and gradual.
As a result, there is no simple...
4.9K
Residual Plots01:07

Residual Plots

6.5K
A residual plot is a statistical representation of data used to analyze correlation and regression results. It helps verify the requirements for drawing specific conclusions about correlation and regression. To obtain the residual plot, first, the residual for each data value is calculated, which is simply the vertical distance between the observed and the predicted value obtained from the regression equation.
When the residual values are plotted against the variable x, it is called a residual...
6.5K
Residual Stresses01:26

Residual Stresses

650
Residual stresses reside in a structure even after removing the original stress inducer. This phenomenon often arises from varied plastic deformations across different parts of a structure. Consider a rod stretched beyond its yield point. It will not regain its original length due to permanent deformation. Even after load removal, the rod does not entirely lose stress because of uneven plastic deformations, resulting in residual stresses. The computation of these stresses in structures is...
650
Titration Calculations: Weak Acid - Strong Base03:55

Titration Calculations: Weak Acid - Strong Base

49.3K
Calculating pH for Titration Solutions: Weak Acid/Strong Base
For the titration of 25.00 mL of 0.100 M CH3CO2H with 0.100 M NaOH, the reaction can be represented as:
49.3K

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Preparation and Application of a New Bacterial Biosensor for the Presumptive Detection of Gunshot Residue
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Accurate Industrial Anomaly Detection and Localization Using Weakly-Supervised Residual Transformers.

Hanxi Li, Jingqi Wu, Deyin Liu

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    |February 4, 2026
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    Summary
    This summary is machine-generated.

    This study introduces Weakly-supervised RESidual Transformer (WeakREST) for industrial anomaly detection, reducing the need for extensive manual annotations. WeakREST achieves state-of-the-art results using weaker labels like bounding boxes.

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    Area of Science:

    • Computer Vision
    • Machine Learning
    • Artificial Intelligence

    Background:

    • Industrial anomaly detection (AD) benefits from training with anomalous samples.
    • Extensive pixel-level annotations are often impractical for real-world AD applications.
    • Existing methods require significant manual labeling efforts.

    Purpose of the Study:

    • Introduce a novel framework, WeakREST, for accurate AD with minimal manual annotations.
    • Reduce dependency on precise pixel-level labels in anomaly detection.
    • Achieve high anomaly detection and localization accuracy using weak supervision.

    Main Methods:

    • Reformulate pixel-wise localization into block-wise classification.
    • Introduce Positional Fast Anomaly Residuals (PosFAR) for effective anomaly feature representation.
    • Adapt Swin Transformer and develop ResMixMatch for weak label learning.

    Main Results:

    • WeakREST achieves 83.0% AP on MVTec-AD in unsupervised settings, surpassing prior work.
    • Attains 87.6% AP in supervised settings, outperforming previous bests.
    • Achieves 87.1% AP using only bounding box annotations, exceeding pixel-supervised methods.

    Conclusions:

    • WeakREST demonstrates superior performance in anomaly detection and localization across multiple datasets.
    • The framework effectively leverages weak annotations, significantly reducing labeling costs.
    • WeakREST sets a new benchmark for weakly-supervised industrial anomaly detection.