4 citations · 4 across the 8 of their papers we have counts for
10 papers
Taylor Diagram and Wasserstein Distance for Model Evaluation
Dongwei Chen, Emily J. King, Hungjui Yu
The Taylor diagram is used to evaluate and compare predictive models with observed data and has many applications in climate and environmental sciences. Three statistics of interes…
A Land of Oblique Duality for Frames and Probabilistic Frames
Dongwei Chen, Emily J. King, Clayton Shonkwiler
Functions or distributions used to sample and to reconstruct signals often occur in different domains, like the Dirac delta and a band-limited bump function in classical sampling.…
Knowledge-Guided Machine Learning: Illustrating the use of Explainable Boosting Machines to Identify Overshooting Tops in Satellite Imagery
Nathan Mitchell, Lander Ver Hoef, Imme Ebert-Uphoff +4
Machine learning (ML) algorithms have emerged in many meteorological applications. However, these algorithms struggle to extrapolate beyond the data they were trained on, i.e., the…
Connections Between Frames with Rational Eigensteps and Semistandard Young Tableaux
Emily J. King, Kylie Schnoor
In this paper, we explore a correspondence between frames with rational eigensteps and semistandard Young tableaux (SSYT), via the relation assigning a Gelfand-Tsetlin pattern to a…
Approximately Dual and Pseudo-Dual Probabilistic Frames
Dongwei Chen, Emily J. King, Clayton Shonkwiler
This paper studies properties of dual probabilistic frames -- in particular in relation to redundancy -- and introduces both approximately dual probabilistic frames and pseudo-dual…
-Homogeneous Equiangular Tight Frames
Emily J. King
We consider geometric and combinatorial characterizations of equiangular tight frames (ETFs), with the former concerning homogeneity of the vector and line symmetry groups and the…
The impossibility of extending the Naimark complement
Emily J. King, Dustin G. Mixon
We show that there is no extension of the Naimark complement to arbitrary frames that satisfies three fundamental properties of the Naimark complement of Parseval frames.
The density of Gabor systems in expansible locally compact abelian groups
Emily King, Rocio Nores, Victoria Paternostro
We investigate the reproducing properties of Gabor systems within the context of expansible groups. These properties are established in terms of density conditions. The concept of…
Optimal arrangements of classical and quantum states with limited purity
Bernhard Bodmann, Emily J. King
We consider sets of trace-normalized non-negative operators in Hilbert-Schmidt balls that maximize their mutual Hilbert-Schmidt distance; these are optimal arrangements in the sets…
On orthogonal -adic wavelet bases
S. Evdokimov, M. Skopina
A variety of different orthogonal wavelet bases has been found in L_2(R) for the last three decades. It appeared that similar constructions also exist for functions defined on some…