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To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...
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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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Tapes are essential in surveying for accurate, durable, and short-distance measurements. Made from lightweight, nylon-coated steel, they offer flexibility and strength for rugged outdoor use. The nylon coating protects against rust and wear, extending the tape's life. Standard lengths, around 30 meters, are marked in meters and millimeters for precision.Surveyors select tapes based on site conditions and accuracy needs. Lightweight, nylon-coated tapes are commonly used for ease of handling and...
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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
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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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Learning Fair Representations via Distance Correlation Minimization.

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    This study introduces graph-fair and dist-fair, novel methods for learning fair machine learning representations. These approaches reduce bias related to sensitive attributes, improving fairness and utility in real-world applications.

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    Area of Science:

    • Machine Learning
    • Artificial Intelligence
    • Data Science

    Background:

    • Machine learning (ML) algorithms increasingly drive critical decisions, making algorithmic bias a significant challenge.
    • Bias in ML, seen in areas like facial recognition and hiring, often involves sensitive attributes such as race and gender.
    • Learning fair representations is a key strategy to mitigate bias in ML models.

    Purpose of the Study:

    • To propose novel algorithmic approaches, graph-fair and dist-fair, for learning fair representations.
    • To reduce the dependence between sensitive attributes and learned representations in ML models.
    • To offer simpler fairness constraints compared to existing methods, avoiding complex parameter tuning and adversarial networks.

    Main Methods:

    • Introduced graph-fair, utilizing graph Laplacian regularization to encode sensitive attribute information.
    • Developed dist-fair, employing distance correlation as a fairness constraint for scale-invariant bias reduction.
    • Theoretically established the link between graph regularization and distance correlation.

    Main Results:

    • Both graph-fair and dist-fair demonstrated effective reduction of bias related to sensitive attributes.
    • Experimental results on real-world datasets showed superior trade-offs between fairness and utility compared to existing methods.
    • The proposed methods simplify fairness constraints, eliminating the need for extensive parameter tuning or adversarial components.

    Conclusions:

    • Graph-fair and dist-fair offer effective and simplified solutions for achieving fairness in machine learning representation learning.
    • These methods provide a promising direction for developing less biased and more reliable AI systems.
    • The findings suggest that incorporating graph regularization and distance correlation can significantly enhance fairness without compromising model utility.