# HERMES: A Multi-Granularity Labeling Substrate for Pre-training Data Mixtures

arXiv: https://arxiv.org/abs/2607.02266 · HTML: https://mlsanity.com/paper/2607.02266/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 30 of its 41 references that are in the map.
- First posted on arXiv 2 Jul 2026.

## Builds on (most cited first, 30 of 30)

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- [Data Mixing Laws: Optimizing Data Mixtures by Predicting Language Modeling Performance](https://mlsanity.com/paper/2403.16952/) (2024)
- [RegMix: Data Mixture as Regression for Language Model Pre-training](https://mlsanity.com/paper/2407.01492/) (2024)
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- [Organize the Web: Constructing Domains Enhances Pre-Training Data Curation](https://mlsanity.com/paper/2502.10341/) (2025)
- [Nemotron-CLIMB: CLustering-based Iterative Data Mixture Bootstrapping for Language Model Pre-training](https://mlsanity.com/paper/2504.13161/) (2025)
- [Residual Quantization with Implicit Neural Codebooks](https://mlsanity.com/paper/2401.14732/) (2024)
- [QuaDMix: Quality-Diversity Balanced Data Selection for Efficient LLM Pretraining](https://mlsanity.com/paper/2504.16511/) (2025)
- [Chameleon: A Flexible Data-mixing Framework for Language Model Pretraining and Finetuning](https://mlsanity.com/paper/2505.24844/) (2025)
- [Improved Residual Vector Quantization for High-dimensional Approximate Nearest Neighbor Search](https://mlsanity.com/paper/1509.05195/) (2015)
- [SampleMix: A Sample-wise Pre-training Data Mixing Strategey by Coordinating Data Quality and Diversity](https://mlsanity.com/paper/2503.01506/) (2025)
- [Topic Over Source: The Key to Effective Data Mixing for Language Models Pre-training](https://mlsanity.com/paper/2502.16802/) (2025)

## Abstract (arXiv)

Most data-mixing methods assume the corpus has already been partitioned into groups, and the choice of those groups determines what a mixer can express. Existing labels, including provenance, topic or format taxonomies, and flat embedding clusters, commit to one semantic axis at one granularity; changing the resolution rebuilds the labels. We argue the bottleneck is the label system, not the mixer, and provide a hierarchical one. HERMES is a data-derived labeling substrate: a Learned Semantic Transform followed by 3-stage residual vector quantization annotates each document once into a coarse-to-fine code whose prefix length controls granularity up to approximately 130k cells. At coarse granularity HERMES sits at a plateau with KMeans-family methods on standard clustering metrics, so the contribution is the substrate, not the clusterer. On 1B-parameter, 25B-token pre-training, the hierarchy exposes an interaction fixed-granularity pipelines cannot test: at one prefix length, a combined Stage-2 rule contrast, equal-subbucket coverage versus size-proportional within-bucket quality top-30%, lifts a 16-task capability macro-average by +0.0253; at the next finer level, the same rule loses its measurable edge as candidate pools contract approximately 5x. HERMES reframes data mixture design from choosing among fixed label sets to navigating a reusable, data-derived granularity hierarchy.