Work

Number-Theoretic Scheduling for Diffusion Language Models: Void Descent, Digital-Root Cycles, and Commit Gating

Year: 2026

Type: article

Abstract: A number-theoretic denoise schedule: φ-geometric noise, an 18-level void descent with resistance peaked at level 9, a logistic commit gate, and the digital-root cycle ⟨2⟩=(ℤ/9ℤ)ˣ={1,2,4,8,7,5}. This revision adds a Reference Implementation & Verification note to Data Availability: the paper's falsifiable claims are now numerically verified in the open-source harmonic-engine package (tests/test_new_math.py, passing on CPU). The schedule primitives are verified in harmonic_engine/schedule.py.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.20701838

Author: Whitehead, Weslyn Cory

Language: English

Topic: Generative Adversarial Networks and Image Synthesis

Subfield: Computer Vision and Pattern Recognition

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7164864886

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