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相关概念视频

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
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
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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.
For data that follow a straight line, the standard method for fitting is the linear...
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Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
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Relating Angular And Linear Quantities - II01:05

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In the case of circular motion, the linear tangential speed of a particle at a radius from the axis of rotation is related to the angular velocity by the relation:
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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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If the rotational definitions are compared with the definitions of linear kinematic variables from motion along a straight line and motion in two and three dimensions, we can observe a mapping of the linear variables to the rotational ones.
When comparing the linear and rotational variables individually, the linear variable of position has physical units of meters, whereas the angular position variable has dimensionless units of radians, as it is the ratio of two lengths. The linear velocity...
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相关实验视频

Updated: Jun 26, 2025

O-cresol Concentration Online Measurement Based On Near Infrared Spectroscopy Via Partial Least Square Regression
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一个基于单调内关系的非线性部分最小平方.

Xuepeng Zheng1, Bin Nie1, Jianqiang Du1

  • 1School of Computer, Jiangxi University of Chinese Medicine, Nanchang, China.

Frontiers in physiology
|May 16, 2024
PubMed
概括

一个新的回归模型,单调的内部关系基于非线性部分最小平方 (MIR-PLS),有效地处理剂量效应研究中的复杂数据问题. 这种新的方法在各种应用中显示出出色的预测性能,包括中医和光谱学.

关键词:
中国医学中医药是中国医药.药物剂量与效果的关系.一种单调的立方线.非线性建模非线性建模部分最小正方形.

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科学领域:

  • 化学测量 化学测量 化学测量
  • 统计建模 统计建模
  • 计算生物学 计算生物学

背景情况:

  • 传统的回归模型在中医药 (CM) 剂量效应研究中常见的复杂数据集中扎,经常表现出有限的观测,多对线性和非线性.
  • 现有的部分最小平方 (PLS) 变体在精确建模这些数据中的复杂关系方面存在局限性.

研究的目的:

  • 引入一种新的回归模型,即基于单调内关系的非线性部分最小平方 (MIR-PLS),旨在克服分析复杂剂量效应关系的现有方法的局限性.
  • 通过使用各种数据集,评估MIR-PLS与已建立的PLS变体的性能.

主要方法:

  • MIR-PLS使用单调的立方线来捕捉输入和输出得分向量之间的非线性内部关系.
  • 集成了一个新的重量更新策略 (WUS),利用单调函数的特性.
  • 该模型与标准PLS,QPLS,EB-QPLS,NNPLS和SPL-PLS进行了基准测试.

主要成果:

  • 在各种数据集中,MIR-PLS表现出优越或可比的预测性能,包括中医药剂量效应关系和近红外 (NIR) 光谱数据.
  • 该模型在处理具有和没有显著非线性关系的数据集方面被证明是有效的.
  • 观察到普遍适用性,表明强度超出了最初的应用领域.

结论:

  • MIR-PLS为回归分析提供了强大而通用的工具,特别是对于具有非线性性的复杂数据集.
  • 拟议的方法增强了模拟复杂剂量效应关系的能力,并在科学研究中具有广泛的适用性.