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
Liudmyla Shlieina1, Anatolii Furman2, Mariia Zaitseva3, Uliana Maraieva3, Ruslan Lavlinskyy4
1Department of Ukrainian Studies/Department of Social Sciences and Humanities, Educational and Scientific Institute of General University Training, Dmytro Motornyi Tavria State Agrotechnological University, Zaporizhzhia, Ukraine
2Department of Psychology and Social Work, West Ukrainian National University, Ternopil, Ukraine
3Department of Philosophy, Faculty of Social Sciences, Uzhhorod National University, Uzhhorod, Ukraine
4Department of Psychology, Interregional Academy of Personnel Management, Kyiv, Ukraine
Jian Zhang1,2, Yuxuan Zheng2,3, Feng Ye1,2, Xin Liu3, An Zeng3
1School of Information Science and Technology, University of Science and Technology of China, Hefei 230000, Anhui, China
2Product R&D Center, Communication Brain Technology (Zhejiang) Co., Ltd., Hangzhou 310000, Zhejiang, China
3School of Computer Science and Technology, East China Normal University, Shanghai 200333, China
Silvia Jakabová1, Veronika Michvocíková2, Leoš Stanek1
1DTI University, Sládkovičova 533/20, 018 41 Dubnica nad Váhom, Slovakia
2University of Ss. Cyril and Methodius in Trnava, Nám. J. Herdu 2, 917 01 Trnava, Slovakia
Xiaokai Duan1
1Faculty of Humanities, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang City, Zhejiang Province 322100, China
Yevhen Kryvokhyzha1, Liudmyla Melko2, Olesia Dolynska3, Volodymyr Velykochyy4, Maryna Kryvoberets5
1Department of Food Technologies, Hotel and Restaurant Services, Chernivtsi Institute of Trade and Economics of the State University of Trade and Economics, Chernivtsi, Ukraine
2Department of Tourism, KROK University, Kyiv, Ukraine
3Department of Tourism, Theory and Methods of Physical Education, and Valeology, Khmelnytskyi Humanitarian-Pedagogical Academy, Khmelnytskyi, Ukraine
4Faculty of Tourism, Vasyl Stefanyk Carpathian National University, Ivano-Frankivsk, Ukraine
5Interregional Academy of Personnel Management, Kyiv, Ukraine

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.