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math.ST2026★ 1 cited
On robustness of Spectral Rényi divergence
Tetsuya Takabatake, Keisuke Yano
This paper studies a specific class of statistical divergences for spectral densities of time series: the spectral -Rényi divergences, which include the Itakura-Saito divergen…
math.ST2026
The geometry of Stein's method of moments: A canonical decomposition via score matching
Mitsuki Nagai, Keisuke Yano
In this paper, we elucidate the geometry of Stein's method of moments (SMoM). SMoM is a parameter estimation method based on the Stein operator, and yields a wide class of estimato…
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…