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econ.TH2026
On the Cardinality of the Smith Set Under Impartial Culture with Many Alternatives
Zachary Berchenko, Kaizhao Liu
For some integer , consider voters, each of which has a preference ranking over alternatives. The Smith set is the smallest nonempty set of alternatives…
cs.LG2026
Propagation of Chaos in Contextual Flow Maps
Shi Chen, Zhengjiang Lin, Kaizhao Liu +1
We develop a quantitative statistical theory of transformers in the large-context regime by adopting the abstraction of contextual flow maps (CFMs): dynamical systems that evolve a…