3 papers
quant-ph2026
Singular Asymptotics of SPADE in Quantum Source Discrimination
Natsuki Kariya
We study far-field discrimination between one and two incoherent point sources in the singular regime of weak and closely spaced emitters. Under ideal alignment, spatial-mode demul…
math.ST2019
Testing Homogeneity for Normal Mixture Models: Variational Bayes Approach
Natsuki Kariya, Sumio Watanabe
The test of homogeneity for normal mixtures has been conducted in diverse research areas, but constructing a theory of the test of homogeneity is challenging because the parameter…
math.ST2018
Asymptotic Analysis of the Bayesian Likelihood Ratio for Testing Homogeneity in Normal Mixture Models
Natsuki Kariya, Sumio Watanabe
When we use the normal mixture model, the optimal number of the components describing the data should be determined. Testing homogeneity is good for this purpose; however, to const…