1 citations · 1 across the 8 of their papers we have counts for
8 papers
Stochastic Jacobi fields along discontinuous martingales on Riemannian submanifolds
Fumiya Okazaki
In this article, we consider discontinuous martingales on tangent bundles over submanifolds of Euclidean space. First, we introduce a connection rule on tangent bundles and establi…
Topology optimization concerning the mass distribution via filtered gradient flows on the Wasserstein space
Fumiya Okazaki, Takayuki Yamada
In this article, we formulate topology optimization problems concerning the mass distribution as minimization problems for functionals on the Wasserstein space. We relax optimizati…
On sensitivities regarding shape and topology optimization as derivatives on Wasserstein spaces
Fumiya Okazaki, Takayuki Yamada
In this paper, we apply the framework of optimal transport to the formulation of optimal design problems. By considering the Wasserstein space as a set of design variables, we asso…
On sequences of martingales with jumps on Riemannian submanifolds
Fumiya Okazaki
In this article, we investigate sequences of discontinuous martingales on submanifolds of higher-dimensional Euclidean space. Those sequences naturally arise when we deal with a se…
Probabilistic characterization of weakly harmonic maps with respect to non-local Dirichlet forms
Fumiya Okazaki
We characterize weakly harmonic maps with respect to non-local Dirichlet forms by Markov processes and martingales. In particular, we can obtain discontinuous martingales on Rieman…
Convergence of martingales with jumps on submanifolds of Euclidean spaces and its applications to harmonic maps
Fumiya Okazaki
Martingales with jumps on Riemannian manifolds and harmonic maps with respect to Markov processes are discussed in this paper. Discontinuous martingales on manifolds were introduce…
Horizontal -semimartingales on orthonormal frame bundles
Fumiya Okazaki
In this article, we deal with stochastic horizontal lifts and anti-developments of semimartingales with jumps on complete and connected Riemannian manifolds without any assumption…
Jointly learning relevant subgraph patterns and nonlinear models of their indicators
Ryo Shirakawa, Yusei Yokoyama, Fumiya Okazaki +1
Classification and regression in which the inputs are graphs of arbitrary size and shape have been paid attention in various fields such as computational chemistry and bioinformati…