7 papers · 1 filter
LatticeBridge: Rare-Event Sequential Inference for Faithful Structured Sequence Synthesis
Faruk Alpay, Bugra Kilictas
Structured sequence generation often requires a model to satisfy several input-derived constraints in a single output. Standard decoding methods may assign high probability to flue…
Asymptotic Semantic Collapse in Hierarchical Optimization
Faruk Alpay, Bugra Kilictas
Multi-agent language systems can exhibit a failure mode where a shared dominant context progressively absorbs individual semantics, yielding near-uniform behavior across agents. We…
Bare-Metal Tensor Virtualization: Overcoming the Memory Wall in Edge-AI Inference on ARM64
Bugra Kilictas, Faruk Alpay
The deployment of Large Language Models (LLMs) on edge devices is fundamentally constrained by the "Memory Wall" the bottleneck where data movement latency outstrips arithmetic thr…
Rate-Distortion Analysis of Compressed Query Delegation with Low-Rank Riemannian Updates
Faruk Alpay, Bugra Kilictas
Bounded-context agents fail when intermediate reasoning exceeds an effective working-memory budget. We study compressed query delegation (CQD): (i) compress a high-dimensional late…
Alpay Algebra V: Multi-Layered Semantic Games and Transfinite Fixed-Point Simulation
Bugra Kilictas, Faruk Alpay
This paper extends the self-referential framework of Alpay Algebra into a multi-layered semantic game architecture where transfinite fixed-point convergence encompasses hierarchica…
Alpay Algebra IV: Symbiotic Semantics and the Fixed-Point Convergence of Observer Embeddings
Bugra Kilictas, Faruk Alpay
We present a theoretical framework in which a document and an AI model engage in a transfinite fixed-point interaction that leads to stable semantic alignment. Building on the foun…