LGDec 12, 2024

Neural Network Symmetrisation in Concrete Settings

arXiv:2412.09469v1h-index: 2
Originality Synthesis-oriented
AI Analysis

This work is incremental, as it reviews and applies existing theoretical results to specific contexts without introducing new methods or data.

The paper provides a high-level overview of Cornish's (2024) general theory of neural network symmetrisation in Markov categories, focusing on its concrete implications for symmetrising deterministic functions and Markov kernels.

Cornish (2024) recently gave a general theory of neural network symmetrisation in the abstract context of Markov categories. We give a high-level overview of these results, and their concrete implications for the symmetrisation of deterministic functions and of Markov kernels.

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

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