1 citations · 1 across the 8 of their papers we have counts for
9 papers
Improved Upper Bounds for the Rank of the Determinant Tensor via Glynn's Formula
Jeong-Hoon Ju, Hayoung Choi, Taehyeong Kim
In this paper, we improve the upper bound for the tensor rank of the determinant tensor to by finding a new tensor decomposition of the ten…
Structured matrix factorization length
Jeong-Hoon Ju, Taehyeong Kim
Every (resp. a generic) complex matrix can be expressed as a product of (resp. ) Toeplitz matrices. Motivated by this result, it is natu…
The border rank of the determinant tensor is twelve
Jong In Han, Jeong-Hoon Ju, Yeongrak Kim
We show that the border rank of the determinant tensor is at least over , using the fixed ideal theorem introduced by Buczyńska-Buczyński and the meth…
On the computation of tensor functions under tensor-tensor multiplications with linear maps
Jeong-Hoon Ju, Susana Lopez-Moreno
In this paper we study the computation of both algebraic and non-algebraic tensor functions under the tensor-tensor multiplication with linear maps. In the case of algebraic tensor…
Recursive Koszul flattenings of determinant and permanent tensors
Jong In Han, Jeong-Hoon Ju, Yeongrak Kim
We investigate new lower bounds on the tensor rank of the determinant and the permanent tensors via recursive usage of the Koszul flattening method introduced by Landsberg-Ottavian…
Geometric mean for T-positive definite tensors and associated Riemannian geometry
Jeong-Hoon Ju, Taehyeong Kim, Yeongrak Kim +1
In this paper, we generalize the geometric mean of two positive definite matrices to that of third-order tensors using the notion of T-product. Specifically, we define the geometri…
Finding tensor decompositions with sparse optimization
Taehyeong Kim, Jeong-Hoon Ju, Yeongrak Kim
In this paper, we suggest a new method for a given tensor to find CP decompositions using a less number of rank tensors. The main ingredient is the Least Absolute Shrinkage and…
A new formula of the determinant tensor with symmetries
Jeong-Hoon Ju, Taehyeong Kim, Yeongrak Kim
In this paper, we present a new formula of the determinant tensor for matrices. In \cite{kim2023newdet4}, Kim, Ju, and Kim found a new formula of …
A new formula for the determinant of matrices
Taehyeong Kim, Jeong-Hoon Ju, Yeongrak Kim
In this paper, we present a new formula for the determinant of a matrix. We approach via the sparse optimization problem and derive the formula through the Least Absol…