The Representation Theory of Neural Networks

نویسندگان

چکیده

In this work, we show that neural networks can be represented via the mathematical theory of quiver representations. More specifically, prove a network is representation with activation functions, object represent using quiver. Furthermore, quivers gently adapt to common concepts such as fully connected layers, convolution operations, residual connections, batch normalization, pooling operations and even randomly wired networks. We by no means an approximation what are it exactly matches reality. This interpretation algebraic studied methods. also provide model understand how creates representations from data. saves data representations, maps geometrical space called moduli space, which given in terms underlying oriented graph network, i.e., its results consequence our defined objects understanding computes prediction combinatorial way. Overall, representing through leads 9 consequences 4 inquiries for future research believe great interest better they work.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9243216