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math.AG2025
Bethe subspaces and wonderful models for toric arrangements
Aleksei Ilin, Leonid Rybnikov
We study the family of commutative subspaces in the trigonometric holonomy Lie algebra , introduced by Toledano Laredo, for an arbitrary root system . We ca…
cs.LG2025
Lightweight Safety Guardrails via Synthetic Data and RL-guided Adversarial Training
Aleksei Ilin, Gor Matevosyan, Xueying Ma +5
We introduce a lightweight yet highly effective safety guardrail framework for language models, demonstrating that small-scale language models can achieve, and even surpass, the pe…