AbstractThe Bradley-Terry-Luce (BTL) model is one of the most celebrated models for ranking inferences based on pairwise comparison data, which associates individuals with latent preference scores and produces ranks. An important question that arises is the uncertainty quantification for ranks. It is natural to think that ranks for two individuals are not trustworthy if there is only a subtle d...
AbstractEvery symplectic automorphism on a symplectic manifold induces an auto-equivalence on the (derived) Fukaya category, which gives rise to a categorical dynamical system. In this talk, I will first give a brief review of various Fukaya categories of symplectic manifolds with boundaries. Then, for a given symplectic automorphism, I will discuss how the categorical entropies of auto-equival...
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