TUPOI: Attention-Free Post-Transformer with Constant O(1) Memory

While standard Transformer architectures (GPT, Claude) suffer from quadratic complexity O(N^2) during training and exploding Key-Value caches during generation, we introduce TUPOI — a foundational attention-free architecture that operates with strictly constant O(1) memory (64.00 KB) and multi-head Delta-KV associative memory. TUPOI represents sequence tokens as canonical position-momentum coordinates (q, p) governed by a 2nd-order Velocity-Verlet leapfrog integrator that strictly preserves Liouville phase volume (det(J) = 1.000000). On the Multi-Query Associative Recall (MQAR) benchmark, TUPOI achieves 100.0% accuracy (surpassing a matched causal transformer baseline at 24.4%) while achieving a 158.8x generation speedup at 32,768 context length. Official repository and code: https://github.com/starface77/TUPOI

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-18
DOI
https://doi.org/10.5281/zenodo.22001817
Primary Topic
Parallel Computing and Optimization Techniques
Type
preprint
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preprint

TUPOI: Attention-Free Post-Transformer with Constant O(1) Memory

Danil Vladov
Zenodo (CERN European Organization for Nuclear Research)
Parallel Computing and Optimization Techniques
preprint

TUPOI: Attention-Free Post-Transformer with Constant O(1) Memory

Danil Vladov
preprint en

Abstract

While standard Transformer architectures (GPT, Claude) suffer from quadratic complexity O(N^2) during training and exploding Key-Value caches during generation, we introduce TUPOI — a foundational attention-free architecture that operates with strictly constant O(1) memory (64.00 KB) and multi-head Delta-KV associative memory. TUPOI represents sequence tokens as canonical position-momentum coordinates (q, p) governed by a 2nd-order Velocity-Verlet leapfrog integrator that strictly preserves Liouville phase volume (det(J) = 1.000000). On the Multi-Query Associative Recall (MQAR) benchmark, TUPOI achieves 100.0% accuracy (surpassing a matched causal transformer baseline at 24.4%) while achieving a 158.8x generation speedup at 32,768 context length. Official repository and code: https://github.com/starface77/TUPOI

Zenodo (CERN European Organization for Nuclear Research)
National Archives and Records Administration (US)
Parallel Computing and Optimization Techniques
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