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Artificial Intelligence
Functional Analysis

Functional Analysis

[ˈfʌŋkʃənəl əˈnælɪsɪs]
Artificial Intelligence
Last updated: December 9, 2024

Definition

The study of infinite-dimensional vector spaces and operators, important for understanding deep learning theory.

Detailed Explanation

Functional analysis extends linear algebra to infinite-dimensional spaces. It includes Hilbert spaces, operators, and spectral theory. In AI, it's essential for understanding deep learning theory and kernel methods.

Use Cases

Deep learning theory, kernel methods, function approximation in neural networks

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