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Statistical mechanics of lossy data compression using a nonmonotonic perceptron

Tadaaki Hosaka1, Yoshiyuki Kabashima, Hidetoshi Nishimori

  • 1Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama 2268502, Japan. hosaka@sp.sis.titech.ac.jp

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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
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Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

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Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when researchers try to extrapolate results...
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