TY - JOUR
T1 - Automatic Binary Data Classification Using a Modified Allen-Cahn Equation
AU - Kim, Sangkwon
AU - Kim, Junseok
N1 - Funding Information:
The corresponding author (J. S. Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2019R1A2C1003053). The authors thank the editor and the reviewers for their constructive and helpful comments on the revision of this paper.
Publisher Copyright:
© 2021 World Scientific Publishing Company.
PY - 2021/3/30
Y1 - 2021/3/30
N2 - In this paper, we propose an automatic binary data classification method using a modified Allen-Cahn (AC) equation. The modified AC equation was originally developed for image segmentation. The equation consists of the AC equation with a fidelity term which enforces the solution to be the given data. In the proposed method, we start from a coarse grid and refine the grid until the accuracy of the data classification reaches a given tolerance. Therefore, we can avoid a laborious trial and error procedure. For a numerical method for the modified AC equation, we use a recently developed explicit hybrid scheme. We perform several 2D and 3D computational tests to demonstrate the performance of the proposed method. The computational results confirm that the proposed algorithm is automatic.
AB - In this paper, we propose an automatic binary data classification method using a modified Allen-Cahn (AC) equation. The modified AC equation was originally developed for image segmentation. The equation consists of the AC equation with a fidelity term which enforces the solution to be the given data. In the proposed method, we start from a coarse grid and refine the grid until the accuracy of the data classification reaches a given tolerance. Therefore, we can avoid a laborious trial and error procedure. For a numerical method for the modified AC equation, we use a recently developed explicit hybrid scheme. We perform several 2D and 3D computational tests to demonstrate the performance of the proposed method. The computational results confirm that the proposed algorithm is automatic.
KW - Binary data classification
KW - modified Allen-Cahn equation
KW - operator splitting method
UR - http://www.scopus.com/inward/record.url?scp=85094636900&partnerID=8YFLogxK
U2 - 10.1142/S0218001421500130
DO - 10.1142/S0218001421500130
M3 - Article
AN - SCOPUS:85094636900
VL - 35
JO - International Journal of Pattern Recognition and Artificial Intelligence
JF - International Journal of Pattern Recognition and Artificial Intelligence
SN - 0218-0014
IS - 4
M1 - 2150013
ER -