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相关概念视频

Multiple Regression01:25

Multiple Regression

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Multiple regression assesses a linear relationship between one response or dependent variable and two or more independent variables. It has many practical applications.
Farmers can use multiple regression to determine the crop yield based on more than one factor, such as water availability, fertilizer, soil properties, etc. Here, the crop yield is the response or dependent variable as it depends on the other independent variables. The analysis requires the construction of a scatter plot...
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Residuals and Least-Squares Property01:11

Residuals and Least-Squares Property

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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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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.
For data that follow a straight line, the standard method for fitting is the linear...
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Classification of Systems-II01:31

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Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
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Classification of Systems-I01:26

Classification of Systems-I

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Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
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Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

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Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence...
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相关实验视频

Updated: Jul 21, 2025

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
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对于多类分类的无内核二次面回归.

Changlin Wang1,2, Zhixia Yang1,2, Junyou Ye1,2

  • 1College of Mathematics and Systems Science, Xinjiang University, Urumuqi 830046, China.

Entropy (Basel, Switzerland)
|July 29, 2023
PubMed
概括
此摘要是机器生成的。

为多类问题引入了一个新的硬二次面最小平方回归 (HQSLSR) 分类器. 它的软化版本 (SQSLSR) 通过扩大类距离来增强概括性,显示与现有方法可比的性能.

关键词:
没有内核的技巧.最小的平方回归回归.多个类别的分类分类.一个正方形的表面.拉动技术的技术.

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科学领域:

  • 机器学习 机器学习
  • 计算机科学 计算机科学

背景情况:

  • 多类分类在开发有效的非线性分类器方面存在挑战.
  • 现有的方法可能缺乏概括能力或具有复杂的优化问题.

研究的目的:

  • 介绍了一个新的无内核的非线性分类器,硬二次面最小平方回归 (HQSLSR).
  • 提出一个软化版本 (SQSLSR),以提高概括性能.
  • 分析拟议方法的理论特性和实验有效性.

主要方法:

  • 开发了HQSLSR,通过将最小平方损失与一个没有二进制内核的技巧相结合.
  • 在SQSLSR中引入了一种 ε-拖拉技术,以扩大类间距离.
  • 采用了改变代算法来解决SQSLSR优化问题.

主要成果:

  • HQSLSR提供了一个凸和不受约束的优化问题.
  • 在回归函数中,SQSLSR表现出更好的概括能力和几何多样性.
  • 理论分析证实了趋同,可解释性和计算效率.
  • 对基准数据集的实验结果显示,与最先进的分类器相比,其性能具有竞争力.

结论:

  • 拟议的HQSLSR和SQSLSR方法为多类分类提供了有效的解决方案.
  • 拖拉技术有利于增强分类器通用化.
  • 这些无内核的方法为非线性分类任务提供了有希望的替代方案.