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Related Concept Videos

Calibration Curves: Linear Least Squares01:20

Calibration Curves: Linear Least Squares

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...
Calibration Curves: Correlation Coefficient01:10

Calibration Curves: Correlation Coefficient

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 other increases, and...
Instrument Calibration01:12

Instrument Calibration

Instrument calibration is essential for ensuring that instruments produce accurate and consistent results. It is vital in manufacturing, healthcare, testing laboratories, and scientific research. Calibration processes are specific to each instrument and help enhance data accuracy. Each instrument has a unique calibration process tailored to its design and function to improve data accuracy.
Analytical Balance Calibration
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Classification of Systems-II01:31

Classification of Systems-II

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,
Residuals and Least-Squares Property01:11

Residuals and Least-Squares Property

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.
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Differential Leveling

Differential leveling is a precise method in surveying used to determine the elevation difference between two points. Its primary goal is to establish accurate vertical measurements to create level surfaces or grade lines critical for designing and constructing infrastructures such as roads, bridges, and buildings.The procedure for differential leveling begins with setting up and leveling the instrument at a point where the benchmark can be seen. The level rod is held on the benchmark (BM), and...

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Image Recognition and Parameter Analysis of Concrete Vibration State Based on Support Vector Machine
08:27

Image Recognition and Parameter Analysis of Concrete Vibration State Based on Support Vector Machine

Published on: January 5, 2024

Doubly Optimized Calibrated Support Vector Machine (DOC-SVM): an algorithm for joint optimization of discrimination

Xiaoqian Jiang1, Aditya Menon, Shuang Wang

  • 1Division of Biomedical Informatics, University California San Diego (UCSD), La Jolla, California, USA. x1jiang@ucsd.edu

Plos One
|November 10, 2012
PubMed
Summary

Doubly Optimized Calibrated Support Vector Machine (DOC-SVM) improves clinical decision support by enhancing prediction accuracy and reliability. This novel method achieves better calibration and discrimination than existing models, aiding in more informed medical choices.

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Area of Science:

  • Computational Biology
  • Machine Learning
  • Biostatistics

Background:

  • Probabilistic models for clinical decision support traditionally prioritize discrimination (ranking error) over calibration (prediction correctness).
  • Simultaneous optimization of discrimination and calibration is crucial for reliable clinical decision-making.
  • Existing models often fail to balance these two important aspects effectively.

Purpose of the Study:

  • To investigate the tradeoffs between discrimination and calibration in probabilistic models.
  • To develop a unified maximum-margin method for jointly optimizing discrimination and calibration.
  • To evaluate the performance of the proposed method in breast cancer gene-expression datasets.

Main Methods:

  • Developed the Doubly Optimized Calibrated Support Vector Machine (DOC-SVM), a novel maximum-margin approach.
  • DOC-SVM concurrently optimizes two loss functions: ridge regression loss (for calibration) and hinge loss (for discrimination).
  • Evaluated DOC-SVM on three breast cancer gene-expression datasets (GSE2034, GSE2990, Chanrion's).

Main Results:

  • DOC-SVM generated significantly more calibrated outputs compared to Support Vector Machine (SVM) and Logistic Regression (LR) across all datasets (p<0.001 to p=0.03).
  • DOC-SVM demonstrated superior discrimination (higher AUCs) compared to SVM and LR, particularly on Chanrion's dataset (p<0.0001).
  • The proposed model achieved better calibration without compromising discrimination performance.

Conclusions:

  • The Doubly Optimized Calibrated Support Vector Machine (DOC-SVM) offers a robust approach for improving probabilistic models in clinical decision support.
  • DOC-SVM effectively balances model calibration and discrimination, outperforming traditional methods like SVM and LR.
  • The findings suggest that DOC-SVM can be a valuable tool for enhancing the reliability and utility of predictive models in clinical practice.