47 citations · 198 across the 25 of their papers we have counts for
28 papers
Extended dynamic mode decomposition with dictionary learning using neural ordinary differential equations
Hiroaki Terao, Sho Shirasaka, Hideyuki Suzuki
Nonlinear phenomena can be analyzed via linear techniques using operator-theoretic approaches. Data-driven method called the extended dynamic mode decomposition (EDMD) and its vari…
On restrictions of Weyl arrangements
Takuro Abe, Hiroaki Terao, Tan Nhat Tran
Let be a Weyl arrangement in an -dimensional Euclidean space. The freeness of restrictions of was first settled by a case-by-case method by Orlik…
Logarithmic vector fields for quasihomogeneous curve configurations in P^2
Hal Schenck, Hiroaki Terao, Masahiko Yoshinaga
Let A be a union of smooth plane curves C_i, such that each singular point of A is quasihomogeneous. We prove that if C is a smooth curve such that each singular point of A U C is…
Free filtrations of affine Weyl arrangements and the ideal-Shi arrangements
Takuro Abe, Hiroaki Terao
In this article we prove that the ideal-Shi arrangements are free central arrangements of hyperplanes satisfying the dual-partition formula. Then it immediately follows that there…
Canonical systems of basic invariants for unitary reflection groups
Norihiro Nakashima, Hiroaki Terao, Shuhei Tsujie
It has been known that there exists a canonical system for every finite real reflection group. The first and the third authors obtained an explicit formula for a canonical system i…
The freeness of ideal subarrangements of Weyl arrangements
Takuro Abe, Mohamed Barakat, Michael Cuntz +2
A Weyl arrangement is the arrangement defined by the root system of a finite Weyl group. When a set of positive roots is an ideal in the root poset, we call the corresponding arran…