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math.ST2026
Determinantal Point Process Approximation under Positive and Negative Dependence
So Anzai, Hideitsu Hino
Determinantal point processes (DPPs) are widely used as probabilistic models for diverse random subsets, but their approximation error under model misspecification has not been ful…
math.ST2026
Projective Maximum Entropy: Universality and Acceptance-Region Calibration
Hideitsu Hino
Maximum-entropy reference distributions are usually constructed on the normalized probability simplex. This formulation is less natural for unnormalized statistical models, in whic…
math.ST2024
Duality induced by an embedding structure of determinantal point process
Hideitsu Hino, Keisuke Yano
This paper investigates the information geometrical structure of a determinantal point process (DPP). It demonstrates that a DPP is embedded in the exponential family of log-linear…