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Article

CL-NOTEARS: Continuous Optimization Algorithm Based on Curriculum Learning Framework

1
Laboratory for Big Data and Decision, National University of Defense Technology, Changsha 410073, China
2
National Key Laboratory of Information Systems Engineering, National University of Defense Technology, Changsha 410073, China
*
Author to whom correspondence should be addressed.
Mathematics 2024, 12(17), 2640; https://doi.org/10.3390/math12172640 (registering DOI)
Submission received: 8 July 2024 / Revised: 22 August 2024 / Accepted: 23 August 2024 / Published: 25 August 2024
(This article belongs to the Section Mathematics and Computer Science)

Abstract

Causal structure learning plays a crucial role in the current field of artificial intelligence, yet existing causal structure learning methods are susceptible to interference from data sample noise and often become trapped in local optima. To address these challenges, this paper introduces a continuous optimization algorithm based on the curriculum learning framework: CL-NOTEARS. The model utilizes the curriculum loss function during training as a priority evaluation metric for curriculum selection and formulates the sample learning sequence of the model through task-level curricula, thereby enhancing the model’s learning performance. A curriculum-based sample prioritization strategy is employed that dynamically adjusts the training sequence based on variations in loss function values across different samples throughout the training process. The results demonstrate a significant reduction in the impact of sample noise in the data, leading to improved model training performance.
Keywords: continuous optimization; Gaussian cluster; curriculum learning; casual structure continuous optimization; Gaussian cluster; curriculum learning; casual structure

Share and Cite

MDPI and ACS Style

Liu, K.; Liu, L.; Xiao, K.; Li, X.; Zhang, H.; Zhou, Y.; Huang, H. CL-NOTEARS: Continuous Optimization Algorithm Based on Curriculum Learning Framework. Mathematics 2024, 12, 2640. https://doi.org/10.3390/math12172640

AMA Style

Liu K, Liu L, Xiao K, Li X, Zhang H, Zhou Y, Huang H. CL-NOTEARS: Continuous Optimization Algorithm Based on Curriculum Learning Framework. Mathematics. 2024; 12(17):2640. https://doi.org/10.3390/math12172640

Chicago/Turabian Style

Liu, Kaiyue, Lihua Liu, Kaiming Xiao, Xuan Li, Hang Zhang, Yun Zhou, and Hongbin Huang. 2024. "CL-NOTEARS: Continuous Optimization Algorithm Based on Curriculum Learning Framework" Mathematics 12, no. 17: 2640. https://doi.org/10.3390/math12172640

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