1 citations · 1 across the 8 of their papers we have counts for
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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…
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…
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…