4 citations · 12 across the 12 of their papers we have counts for
15 papers
On a construction method of new moment sequences
Seunghwan Baek, Hayoung Choi, Seonguk Yoo
In this paper we provide a way to construct new moment sequences from a given moment sequence. An operator based on multivariate positive polynomials is applied to get the new mome…
Algorithm Unrolling for Massive Access via Deep Neural Network with Theoretical Guarantee
Yandong Shi, Hayoung Choi, Yuanming Shi +1
Massive access is a critical design challenge of Internet of Things (IoT) networks. In this paper, we consider the grant-free uplink transmission of an IoT network with a multiple-…
Any multi-index sequence has an interpolating measure
Hayoung Choi, Seonguk Yoo
R. P. Boas showed that any single-index sequence of real numbers can be represented as (), where…
Large-Scale Beamforming for Massive MIMO via Randomized Sketching
Hayoung Choi, Tao Jiang, Yuanming Shi +2
Massive MIMO system yields significant improvements in spectral and energy efficiency for future wireless communication systems. The regularized zero-forcing (RZF) beamforming is a…
Fast computation of von Neumann entropy for large-scale graphs via quadratic approximations
Hayoung Choi, Jinglian He, Hang Hu +1
The von Neumann graph entropy (VNGE) can be used as a measure of graph complexity, which can be the measure of information divergence and distance between graphs. However, computin…
Geometric Mean of Partial Positive Definite Matrices with Missing Entries
Hayoung Choi, Sejong Kim, Yuanming Shi
In this paper the geometric mean of partial positive definite matrices with missing entries is considered. The weighted geometric mean of two sets of positive matrices is defined,…
An algebraic-geometric approach for linear regression without correspondences
Manolis C. Tsakiris, Liangzu Peng, Aldo Conca +3
Linear regression without correspondences is the problem of performing a linear regression fit to a dataset for which the correspondences between the independent samples and the ob…
Catalan-like numbers and Hausdorff moment sequences
Hayoung Choi, Yeong-Nan Yeh, Seonguk Yoo
In this paper we show that many well-known counting coefficients, including the Catalan numbers, the Motzkin numbers, the central binomial coefficients, the central Delannoy number…
Comparing large-scale graphs based on quantum probability theory
Hayoung Choi, Hosoo Lee, Yifei Shen +1
In this paper, a new measurement to compare two large-scale graphs based on the theory of quantum probability is proposed. An explicit form for the spectral distribution of the cor…
Structure for -Metric Spaces and Related Fixed Point Theorems
Hayoung Choi, Sejong Kim, Seung Yeop Yang
In this paper, we propose a generalized notion of a distance function, called a -metric. The -metric with degree is a distance of points, generalizing the ordinary…
Sparse Hamburger Moment Sequences and Completions in Several Variables
Saroj Aryal, Hayoung Choi, Farhad Jafari
Putinar and Vasilescu have given an algebraic characterization of Hamburger moment sequences in several variables. In this paper we give a characterization of sparse moment subsequ…
Hamburger moment sequences and their moment subsequences
Saroj Aryal, Hayoung Choi, Farhad Jafari
In this paper a connection between Hamburger moment sequences and their moment subsequences is given and the determinacy of these problems are related.
Modified Radon transform inversion using moments in
Hayoung Choi, Farhad Jafari, Robert Mnatsakanov
A modified Radon transform for noisy data is introduced and its inversion formula is established. The problem of recovering the multivariate probability density function from t…
Positive definite Hankel matrix completions and Hamburger moment completions
Hayoung Choi, Farhad Jafari
In this paper we give solutions to Hamburger moment problems with missing entries. The problem of completing partial positive sequences is considered. The main result is a characte…
Sparse Hamburger Moment Sequences
Saroj Aryal, Hayoung Choi, Farhad Jafari
Putinar and Vasilescu [6] have given an algebraic characterization of Hamburger moment sequences in several variables. In this paper we study some sparse moment subsequences of Ham…