What question did this study set out to answer?

This research aims to explain the transformer gradient wall phenomenon and its theoretical boundaries.

March 30, 2026Open Access

The Gradient Wall: Why Scaling Cannot Cross the Shannon-Kolmogorov Barrier

Key Points

This research aims to explain the transformer gradient wall phenomenon and its theoretical boundaries.
Utilizes the Void Framework to analyze the gradient wall.
Introduces concepts like the Fantasia Bound and K-Factorization.
Examines the role of gradient signals in learning processes.
Identifies the existence of a gradient wall in transformers.
Demonstrates scale invariance as a critical factor in this phenomenon.
Explains how learning processes are influenced by the shape function.

Abstract

Explains the transformer gradient wall phenomenon using the Void Framework: the Fantasia Bound predicts wall existence, K-Factorization explains scale invariance, and the shape function requires gradient signal for learning.

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Cite This Study

Anthony W. Eckert (Sat,) studied this question.

synapsesocial.com/papers/69c9c5e2f8fdd13afe0bdf74 https://doi.org/https://doi.org/10.5281/zenodo.19299756