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Flatness of location-scale-shape models under the Wasserstein metric
Ayumu Fukushi, Yoshinori Nakanishi-Ohno, Takeru Matsuda
In Wasserstein geometry, one-dimensional location-scale models are flat both intrinsically and extrinsically-that is, they are curvature-free as well as totally geodesic in the spa…
Wasserstein projection estimators for circular distributions
Naoki Otani, Takeru Matsuda
For statistical models on circles, we investigate performance of estimators defined as the projections of the empirical distribution with respect to the Wasserstein distance. We de…
Noise-Robust Phase Connectivity Estimation via Bayesian Circular Functional Models
Shonosuke Sugasawa, Takeru Matsuda, Tomoyuki Nagakawa
The phase locking value (PLV) is a widely used measure to detect phase connectivity. Main drawbacks of the standard PLV are it can be sensitive to noisy observations and does not p…
On the attainment of the Wasserstein--Cramer--Rao lower bound
Hayato Nishimori, Takeru Matsuda
Recently, a Wasserstein analogue of the Cramer--Rao inequality has been developed using the Wasserstein information matrix (Otto metric). This inequality provides a lower bound on…