4 papers
KazByte: Adapting Qwen models to Kazakh via Byte-level Adapter
Rauan Akylzhanov
Large language models fragment Kazakh text into many more tokens than equivalent English text, because their tokenizers were built for high-resource languages. This tokenizer tax i…
Hormander-Mikhlin type theorem on non-commutative spaces
Rauan Akylzhanov, Michael Ruzhansky, Kanat Tulenov
In this paper, we introduce a Fourier-type formalism on non-commutative spaces. As a result, we obtain two versions of Hormander-Mikhlin Lp-multiplier theorem: on locally compact K…
Re-expansions on compact Lie groups
Rauan Akylzhanov, Elijah Liflyand, Michael Ruzhansky
In this paper we consider the re-expansion problems on compact Lie groups. First, we establish weighted versions of classical re-expansion results in the setting of multi-dimension…
Contractions of group representations via geometric quantisation
Rauan Akylzhanov, Alexis Arnaudon
We propose a general framework to contract unitary dual of Lie groups via holomorphic quantization of their co-adjoint orbits. The sufficient condition for the contractability of a…