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Regularization during pretraining reshapes KV-cache geometry for better quantization

Illustration accompanying: Regularize or Localize: When Training-Time KV-Cache Geometry Pays Under Quantization

Researchers demonstrate that LeJEPA's signature regularization objective can reshape language model representations to improve key-value cache quantization, a critical efficiency bottleneck in inference. Training 110M-parameter models, they found that applying the anti-collapse loss directly to K and V tensors reduces cache anisotropy by 94 percent while maintaining near-flat perplexity costs. The work bridges representation geometry and practical inference optimization, suggesting that pretraining objectives designed for one purpose can unlock secondary benefits in memory-constrained deployment scenarios where cache quantization directly impacts throughput and latency.

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Explainer

The paper's core insight is that LeJEPA's anti-collapse regularization, originally designed to prevent representation collapse during self-supervised pretraining, has a secondary effect: it naturally reduces anisotropy in K and V tensors, making them far more amenable to quantization. This isn't a new quantization method or a new pretraining objective, but evidence that representation geometry shaped during training directly determines how compressible your cache becomes at inference time.

This connects to the interpretability work from earlier this week on what transformers actually compute internally. Just as that research asked whether models implement their intended algorithms or converge on different approximations, this paper asks a related question: do pretraining objectives produce side effects in tensor geometry that matter for downstream efficiency? The work also echoes the multimodal fusion approach in ChemFusion, where architectural choices made for one purpose (preventing collapse) unlock gains in a different domain (memory efficiency). Here, the domain is inference, not chemistry, but the pattern is the same: representation design has compounding effects.

If teams training new foundation models begin explicitly applying LeJEPA-style regularization to K and V tensors as a standard practice and report consistent cache quantization gains across model scales (7B, 13B, 70B), that signals this is a real efficiency lever, not a curiosity of 110M models. If the same gains don't replicate on models trained without this regularization, or if the perplexity cost grows beyond 'near-flat' at larger scales, the practical impact narrows significantly.

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Modelwire summarizes, we don’t republish. arXiv cs.LG originally reported this story as Regularize or Localize: When Training-Time KV-Cache Geometry Pays Under Quantization”. The full content lives on arxiv.org. If you’re a publisher and want a different summarization policy for your work, see our takedown page.

Regularization during pretraining reshapes KV-cache geometry for better quantization · Modelwire