247 citations · 967 across the 25 of their papers we have counts for
4 papers · 1 filter
Curvature of Hessian Manfiolds
Shun-ichi Amari, John Armstrong
We prove that, in dimensions greater than 2, the generic metric is not a Hessian metric and find a curvature condition on Hessian metrics in dimensions greater than 3. In particula…
On conformal divergences and their population minimizers
Richard Nock, Frank Nielsen, Shun-ichi Amari
Total Bregman divergences are a recent tweak of ordinary Bregman divergences originally motivated by applications that required invariance by rotations. They have displayed superio…
Achieving Precise Mechanical Control in Intrinsically Noisy Systems
Wenlian Lu, Jianfeng Feng, Shun-ichi Amari +1
How can precise control be realised in intrinsically noisy systems? Here, we develop a general theoretical framework that provides a way to achieve precise control in signal-depend…
Lp-Regularized Least Squares (0<p<1) and Critical Path
Masahiro Yukawa, Shun-ichi Amari
The least squares problem is formulated in terms of Lp quasi-norm regularization (0<p<1). Two formulations are considered: (i) an Lp-constrained optimization and (ii) an Lp-penaliz…