3 papers
stat.ML2026
Spectral Perturbation of the Empirical Fisher Information Matrix under Weight Quantization
Rahid Zahid Alekberli, Hikmat Karimov
We study the spectral perturbation of the empirical Fisher Information Matrix (FIM) of a parametric statistical model under two structured perturbations: departure of the input fro…
cs.AI2026
The Kerimov-Alekberli Model: An Information-Geometric Framework for Real-Time System Stability
Hikmat Karimov, Rahid Zahid Alekberli
This study introduces the Kerimov-Alekberli model, a novel information-geometric framework that redefines AI safety by formally linking non-equilibrium thermodynamics to stochastic…
cs.AI2026
An Information-Geometric Framework for Stability Analysis of Large Language Models under Entropic Stress
Hikmat Karimov, Rahid Zahid Alekberli
As large language models (LLMs) are increasingly deployed in high-stakes and operational settings, evaluation strategies based solely on aggregate accuracy are often insucient to c…