Papers
arxiv:2610.04012

Beyond the Parameter Monolith: Reconstructive Memories, Executable Skills, and Residual Assembly for Language Models

Published on Oct 2
· Submitted by
Andrey
on Oct 8
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Abstract

Language-model systems can separate contextual computation, persistent storage, and exact execution instead of updating all capabilities through one shared parameter system. We investigate FEM-ASM, a finite-element-method-inspired organization in which independently constructed document states and deterministic executable skills contribute typed proposals to a shared language-model state. An explicit residual operator reconciles proposals attached to common interface nodes. We evaluate this organization through controlled experiments and negative results rather than claiming a physical finite-element formulation of language. An attention-free Multi-Mesh prototype learns causal language modeling but does not establish competitive general capability. A versioned store contains 52,809 reconstructive memory elements near a 1.7-billion-floating-value budget; reconstruction is incomplete, with approximately 75\% token accuracy. Support-aware lexical indices make these elements addressable under provenance-controlled query construction. For executable arithmetic, positional result observations substantially improve neural rendering relative to a repeated global result vector, and output substitutions change the model's preferred answer. A bounded attachment demonstration further measures the effect of making selected evidence available, without establishing the utility of loading an entire multi-billion-value store. The results support a separation of storage, execution, and neural coordination, while identifying unresolved limitations in question-only retrieval, unrestricted answer generation, and end-to-end efficiency.

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What changes when memory, exact execution, and contextual computation can be developed and updated separately?

This research grew out of experiments showing that useful language modeling can emerge while token input coordinates remain fixed. That separation between token identity and learned computation prompted a broader question: can internal representations and independently constructed components interact through an explicit shared interface? The finite-element analogy provides a design inspiration - local components, representations at different granularities, and explicit assembly - not a claim that language follows a physical equation.

The work explores these ideas through an attention-free Multi-Mesh language model trained on approximately 28.6 billion prediction targets, followed by a separate modular core that integrates reconstructive document memories and deterministic VM results through typed residual assembly. The goal is to investigate alternative organizations of language computation, not to claim superiority over Transformers.

The experiments deliberately proceed with imperfect components, including a roughly half-billion-parameter core and memory achieving approximately 75% token reconstruction accuracy in the reported readout audit. Controlled attachment tests examine how selected evidence affects predictions while the core weights remain unchanged. Negative results help distinguish separate challenges: storing information, retrieving evidence, executing a procedure, and rendering an answer.

These are research prototypes for investigating interfaces and operating modes, not a finished general-purpose system. Checkpoints and selected research code are released to support inspection and further experiments. Independent tests, simpler baselines, and discussion of what these interfaces enable - or fail to enable - are especially welcome.

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