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What Machine Learning Tells Us About the Mathematical Structure of Concepts

2024/08/28 by Jun Otsuka, Otsuka, Jun
Computer Science · #Artificial Intelligence in Education #Neural Networks and Applications #Computational Physics and Python Applications

paper · doi:10.48550/arxiv.2408.15507

Abstract

This paper examines the connections among various approaches to understanding concepts in philosophy, cognitive science, and machine learning, with a particular focus on their mathematical nature. By categorizing these approaches into Abstractionism, the Similarity Approach, the Functional Approach, and the Invariance Approach, the study highlights how each framework provides a distinct mathematical perspective for modeling concepts. The synthesis of these approaches bridges philosophical theories and contemporary machine learning models, providing a comprehensive framework for future research. This work emphasizes the importance of interdisciplinary dialogue, aiming to enrich our understanding of the complex relationship between human cognition and artificial intelligence.

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