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Combinatorics and Artificial Intelligence
Abstract
The chapter explores the relationship between combinatorics and artificial intelligence (AI), shedding light on their historical roots and points of convergence. The historical roots are traced from Ramon Llull to deep learning, showing points of convergence and applications, such as optimization, graph theory, and natural language processing (NLP). The text also presents combinatoric problems, such as the travelling salesman problem and the knapsack problem, demonstrating how combinatorial methods are used to find efficient solutions. Furthermore, the text highlights the role of combinatorics in machine learning, optimization, and scientific discovery, underlining its importance in developing advanced AI algorithms. Finally, the text presents several promising avenues for future research, including advanced search algorithms, graph neural networks, generative models, computer defense, game theory, and the Internet of Things, underlining the potential for further integration between combinatorics and AI.
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