language identification 2Borel maps 1computational traces 1Gold's model 1identification in the limit 1machine-independent learning 1succinct alphabets 1terminal coloring 1trace coloring 1transfinite recursion 1
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cs.DS2026
Learning Distributions from Multiple Data Providers
Jon Kleinberg, Amin Saberi, Xizhi Tan +1
Motivated by learning from heterogeneous and overlapping data providers, we study a stylized model of distribution learning from restricted conditional samples. The goal is to lear…
cs.DS2026
On Language Generation in the Limit with Bounded Memory
Jon Kleinberg, Anay Mehrotra, Amin Saberi +1
We study language generation in the limit under bounded memory. In this task, a learner observes examples from an unknown target language one at a time and must eventually output o…
cs.DS2025
Language Generation and Identification From Partial Enumeration: Tight Density Bounds and Topological Characterizations
Jon Kleinberg, Fan Wei
The success of large language models (LLMs) has motivated formal theories of language generation and learning. We study the framework of \emph{language generation in the limit}, wh…