ON THIS PAGE

A Computational Model for Cultivating Innovative Ability in College English Based on Deep Learning and Combinatorial Mathematics

Huihui Guo1
1School of Foreign Studies, Shanghai Zhongqiao Vocational and Technical University, Jinshan, Shanghai, 201500, China

Abstract

In the context of AI-enabled education, College English teaching is gradually shifting from a predominantly knowledge-transmission model toward an approach that also emphasizes the cultivation of innovative language abilities. Nevertheless, innovative language production is structurally complex, dynamically evolving, and difficult to quantify in a transparent manner. Existing deep-learning approaches frequently concentrate on outcome prediction or text generation and provide only limited explicit modeling of learners’ cognitive structures and the mechanisms through which innovative expressions are formed. To address these limitations, this paper proposes a computational modeling framework for innovation-oriented College English learning that integrates deep learning with combinatorial mathematics. First, a hierarchical Transformer-based semantic encoder maps discrete linguistic units into a continuous latent semantic embedding space, thereby providing a measurable semantic representation. Second, a cognitive-structure graph is constructed in which linguistic knowledge units are treated as nodes, and the innovation-oriented learning process is formalized as a structural mapping problem. Knowledge reorganization is then represented through combinatorial operations, including permutation, substitution, merging, and reconstruction. On this basis, a multi-objective optimization function that balances semantic novelty, semantic coherence, and structural complexity is formulated so that innovation generation can be treated as a computable combinatorial optimization problem. Approximate solutions are obtained using a genetic algorithm, beam search, and reinforcement learning. Systematic experiments are conducted on an authentic College English writing corpus. The reported results indicate that the proposed method outperforms the comparison methods with respect to innovation score, novelty distribution, structural controllability, and learning stability. Multidimensional visualization further supports the effectiveness of the framework in representing innovative ability, cognitive-structure evolution, and adaptation to individual differences.

Related Articles
Iryna Forkun1, Yurii Radionov2, Nina Petrukha Nina Petrukha3, Serhii Petrukha4, Oleksandr Zinevych5
1Department of Finance, Banking, Insurance and Stock Market, Faculty of Economics and Management, Khmelnytskyi National University, Khmelnytskyi, Ukraine
2Department of Financial, Credit and Tax Policy, National Scientific Centre “Institute of Agrarian Economics”, Kyiv, Ukraine
3Department of Management in Construction, Kyiv National University of Construction and Architecture, Kyiv, Ukraine
4Department of Transport and Logistics, West Ukrainian National University, Ternopil, Ukraine
5Interregional Academy of Personnel Management, Kyiv, Ukraine
Jiayu Sun1, Guan Yang2, Zhenguo Cao3, Wei Zhao4
1School of Economics, Guangzhou College of Commerce, Guangzhou, Guangdong, 511363, China
2School of Business, Guangzhou College of Technology and Business, Guangzhou, Guangdong 510850, China
3School of Educational Science and Technology, Guangzhou College of Technology and Business, Guangzhou, Guangdong, 528138, China
4School of Digital Economy Industry, Guangzhou College of Commerce, Guangzhou, Guangdong, 511363, China
Ravi Dubey1, Arpit Sharma2, Sharad Kumar Pandey3
1Advocate, Maahir Associates–Legal Solution, Lucknow, India
2School of Law, Forensic Justice and Policy Studies, National Forensic Sciences University, Delhi Campus, India
3Symbiosis Law School, Noida Campus, Symbiosis International (Deemed University), Pune, India
Da Li1, Jing Zhou2, Qiyan Tan1
1School of Arts, Nanchang University, Nanchang, Jiangxi 330027, China
2School of Music, Jiangxi Science and Technology Normal University, Nanchang, Jiangxi 330038, China

Citation

Huihui Guo. A Computational Model for Cultivating Innovative Ability in College English Based on Deep Learning and Combinatorial Mathematics[J], Archives Des Sciences, Volume 75 , Issue 6, 2025. 17-30. DOI: https://doi.org/10.68304/as/75603.