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Related Concept Videos

Frequency-dependent Selection01:21

Frequency-dependent Selection

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When the fitness of a trait is influenced by how common it is (i.e., its frequency) relative to different traits within a population, this is referred to as frequency-dependent selection. Frequency-dependent selection may occur between species or within a single species. This type of selection can either be positive—with more common phenotypes having higher fitness—or negative, with rarer phenotypes conferring increased fitness.
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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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Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single...
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Aliasing01:18

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Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
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Residuals and Least-Squares Property01:11

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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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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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The Characteristic Spectral Selection Method Based on Forward and Backward Interval Partial Least Squares.

Fang-fang Qu, Dong Ren, Jin-jian Hou

    Guang Pu Xue Yu Guang Pu Fen Xi = Guang Pu
    |May 24, 2016
    PubMed
    Summary
    This summary is machine-generated.

    A new spectral interval selection strategy, FB-iPLS, improves near-infrared spectroscopy models by combining Forward and Backward Interval Partial Least Squares. This method enhances prediction accuracy for determining ethanol concentration, outperforming traditional techniques.

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    Area of Science:

    • Analytical Chemistry
    • Spectroscopy

    Background:

    • Near-infrared spectroscopy (NIRS) commonly uses Forward Interval Partial Least Squares (FiPLS) and Backward Interval Partial Least Squares (BiPLS) for wavelength selection.
    • These methods, while accurate, suffer from greedy search limitations, potentially selecting suboptimal intervals for analyte information.

    Purpose of the Study:

    • To propose a novel spectral characteristic intervals selection strategy, FB-iPLS, that combines FiPLS and BiPLS.
    • To improve the robustness and predictive performance of NIRS models by addressing the limitations of existing interval selection methods.

    Main Methods:

    • Developed the FB-iPLS strategy by segmenting spectra and alternatively selecting useful intervals with FiPLS and deleting useless intervals with BiPLS.
    • Applied FiPLS, BiPLS, and FB-iPLS to determine ethanol concentration in pure water.
    • Evaluated model performance across different interval sizes.

    Main Results:

    • The FB-iPLS method demonstrated superior prediction performance, particularly when the spectrum was divided into 60 segments.
    • FB-iPLS achieved high correlation coefficients (r = 0.9677 for calibration, r = 0.9670 for validation) and low cross-validation root mean square errors (RMSECV = 0.0888 for calibration, RMSECV = 0.0571 for validation).
    • The proposed method outperformed both FiPLS and BiPLS in overall predictive performance.

    Conclusions:

    • The FB-iPLS strategy effectively overcomes the greedy search limitations inherent in FiPLS and BiPLS.
    • This two-way selection approach enhances the efficiency and representativeness of characteristic interval selection, leading to improved model predictive performance in NIRS.