Towards Data Science By Utkarsh Mangal

I Trained a Tiny Network to Compress Data. It Drew a Pentagon.

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The article describes how the author replicated Anthropic’s “Toy Models of Superposition” using only NumPy, hand‑derived gradients, and no external libraries. By training a very small neural network to compress data, the model produced a pentagon shape as its output. The post showcases a minimal, from‑scratch implementation of a complex concept in machine learning.

Machine-generated by The Flow from the publisher's headline and feed description — not written or checked by a human. The full article lives at Towards Data Science.

arXiv Machine Learning
Aug 27

M-Fibration Theory with Applications to Neural Network Compression

The paper introduces a general theoretical framework for fibrations on graphs labeled by a commutative monoid, extending the classic theory of graph fibrations to weighted and algebraically labeled graphs. It also accommodates approximate fibrations and demonstrates how this framework can be used to compress arbitrary neural networks, including CNNs, providing a solid theoretical basis for recent findings on fibration symmetries in geometric deep learning.

By Paolo Boldi