Truncated $L^1$ Regularized Linear Regression: Theory and Algorithm

The paper presents a valid and efficient method to teach ideological and political education courses in linear regression analysis. It includes theory and practice parts, where interactive learning methodologies are created. It adopts case-study teaching, since this teaching method effectively integrates theoretical teaching and practical teaching. The lectures should be not an exhaustive review of regression methodology, but they should focus on how the regression models derived. Moreover, the teacher should pay more attention to the theoretical aspects of models rather than to their implementation using software. Students work in teams of three or four on a problem presented by teachers and choose relevant software to carry out their own projects. Feedback from students indicates that this method of teaching improves students' class attendance and greatly increases their interest in learning.

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Empirical Models between User Requirements and Product Structural Variables: A Hydraulic Forging Press Case Study

Materials Science Forum ◽

10.4028/www.scientific.net/msf.697-698.779 ◽

2011 ◽

Vol 697-698 ◽

pp. 779-784 ◽

Cited By ~ 1

Author(s):

X. Li ◽

Yan Qun Huang

Keyword(s):

Linear Regression ◽

Empirical Models ◽

User Requirements ◽

Preliminary Design ◽

Mechanical Products ◽

Structural Variables ◽

Forging Press ◽

Regression Theory

To effectively determine the key parameters of a model for complex mechanical products like hydraulic forging press (HFP), design cases were analyzed, user requirements (URs) quantified, and important mechanical structural variables (SVs) addressed to identify the underlying relationships between URs and SVs. By including experts’ experiences, empirical models were mathematically built and verified basing on the linear regression theory, and then applied to estimate practical variable values. The programmatic framework presented for the preliminary design of a product was implemented and successfully demonstrated on the preliminary design of an HFP company.

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Optimum Allocation in Linear Regression Theory

The Annals of Mathematical Statistics ◽

10.1214/aoms/1177729442 ◽

1952 ◽

Vol 23 (2) ◽

pp. 255-262 ◽

Cited By ~ 250

Author(s):

G. Elfving

Keyword(s):

Linear Regression ◽

Optimum Allocation ◽

Regression Theory

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Research on real time compensation of thermal errors of CNC lathe based on linear regression theory

Proceedings of the 2015 2nd International Conference on Machinery, Materials Engineering, Chemical Engineering and Biotechnology ◽

10.2991/mmeceb-15.2016.105 ◽

2016 ◽

Author(s):

YongLian Qiu

Keyword(s):

Linear Regression ◽

Real Time ◽

Thermal Errors ◽

Cnc Lathe ◽

Regression Theory

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Investigation and Study of the Law of Passenger Distribution in One Carriage of Subway in Beijing

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.361-363.2083 ◽

2013 ◽

Vol 361-363 ◽

pp. 2083-2087

Author(s):

Qi Bing Wu ◽

Feng Chen ◽

Ji Ping Fang ◽

Ou Yang Liu ◽

Chang Liu ◽

...

Keyword(s):

Linear Regression ◽

Standing Position ◽

On Line ◽

The Law ◽

Predicted Values ◽

Investigation And Study ◽

Regression Theory ◽

Beijing Subway

The characteristics of passengers standing-position choice and the factors that have effects on passenger distribution are analyzed. According to the investigation results, the disproportion of passenger distribution in one subway carriage is confirmed. The curves about the standing passenger density (from 0-6p/m2) and the passenger number that use different facilities on Line 4 and Line 13 of Beijing Subway are fitted by means of the linear regression theory. Then, the equations of the curves are able to predict the passenger distribution under the situations of different standing passenger densities. After comparing the predicted values with the investigated values, the feasibility of the model is validated accordingly.

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