4 papers
Generalized Determinantal Point Processes for Attraction and Repulsion with Distinct Interaction Kernels
Hideaki Ishibashi, Takahiro Kawashima, Hideitsu Hino
Determinantal point processes (DPPs) model subset selection probability with repulsion, but many applications also exhibit attraction arising from pairwise relations or shared late…
Scalable Learning of Determinantal Point Processes with Kernel-Structured Interactions
Takahiro Kawashima, Hideitsu Hino
Determinantal point processes (DPPs) on a finite set are probability models that exhibit repulsion where inter-item similarities are encoded by a positive definite kernel matrix. S…
Huge-Scale Assortment Optimization with Customer Choice: A Parallel Primal-Dual Approach
Donghao Zhu, Hanzhang Qin, Ching-pei Lee +3
We study huge-scale assortment optimization problems to maximize expected revenue under customer choice, addressing a fundamental challenge in industries such as transportation, re…
A Family of Distributions of Random Subsets for Controlling Positive and Negative Dependence
Takahiro Kawashima, Hideitsu Hino
Positive and negative dependence are fundamental concepts that characterize the attractive and repulsive behavior of random subsets. Although some probabilistic models are known to…