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Sergey Salishev

2 papers indexed

arxivcs.LGcs.FLcs.MA2026-07-31

Transcript-Managed Transformers: Monotone Multi-Agent Collapse and Universality with Two Pop-Enabled Transcripts

Sergey Salishev

We study transcript management for fixed, finite-precision causal Transformers. A transcript is partitioned into channels of bounded blocks. Each transition consults a fixed visible suffix and may append one block, leaving the model, weights, and token protocol unchanged. The ope…

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arxivcs.LGeess.SYmath.OC2026-07-22

Local Stability and Gaussian Smoothing of Quantized Neural Networks

Sergey Salishev, Anton Makarov, Oleg Granichin

We study Gaussian averaging as a smooth surrogate for quantized neural models. Under bounded local oscillation, we derive a local dimension-dependent bound on |f-g|, linking Gaussian smoothing to the stability analysis of discontinuous networks. We compute closed-form Gaussian av…

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