Language Is an Insufficient Substrate for Quantitative Reasoning, and Consequential Domains Need Large Quantitative Models

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arXiv cs.AI · Reuben Vandeventer, David Imrem, David J. Wild · 2026-09-14 AI

[Submitted on 10 Sep 2026]

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Abstract:The prevailing assumption in applied machine learning is that progress on consequential quantitative decisions such as pricing risk, allocating capital, triaging patients, or containing a network intrusion will follow from progress in large language models (LLMs). A language model is trained on a representation of the world that was produced by human description; description is a lossy encoding of the quantitative record, and the loss is irreversible: no downstream model, at any scale, can recover from a description what the description did not encode. We formalize this as a property of the representation on which a model is trained rather than of the model capacity, and we identify three further properties that consequential settings demand of a model and that a language substrate cannot supply by construction: reproducibility, lineage from every output back to the source records that produced. it, and calibrated uncertainty. We argue that these properties define a distinct model class, which we call the Large Quantitative Model (LQM).

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From: David Wild [view email]
[v1] Thu, 10 Sep 2026 18:33:18 UTC (27 KB)

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추출 본문 · 출처: arxiv.org · https://arxiv.org/abs/2609.12105