Search Results for author: Steven J. Miller

Found 6 papers, 3 papers with code

Distribution of Eigenvalues of Matrix Ensembles arising from Wigner and Palindromic Toeplitz Blocks

no code implementations11 Feb 2021 Keller Blackwell, Neelima Borade, Arup Bose, Charles Devlin VI, Noah Luntzlara, Renyuan Ma, Steven J. Miller, Soumendu Sundar Mukherjee, Mengxi Wang, Wanqiao Xu

For definiteness we concentrate on the ensemble of palindromic real symmetric Toeplitz (PST) matrices and the ensemble of real symmetric matrices, whose limiting spectral measures are the Gaussian and semi-circular distributions, respectively; these were chosen as they are the two extreme cases in terms of moment calculations.

Probability 15A52 (primary), 60F99, 62H10 (secondary)

Generalizing Ruth-Aaron Numbers

no code implementations28 Oct 2020 Yanan Jiang, Steven J. Miller

In this paper, we generalize their results in two directions: by raising prime factors to a power and allowing a small difference between $f(n)$ and $f(n+1)$.

Number Theory 11N05 (primary), 11N56, 11P32 (secondary)

Crescent configurations in normed spaces

2 code implementations19 Sep 2019 Sara Fish, Dylan King, Steven J. Miller, Eyvindur A. Palsson, Catherine Wahlenmayer

We prove that for $n \geq 7$, every line-like crescent configuration of size $n$ in the Chebyshev norm must have a rigid structure.

Combinatorics

Categorical Co-Frequency Analysis: Clustering Diagnosis Codes to Predict Hospital Readmissions

1 code implementation1 Sep 2019 Hallee E. Wong, Brianna C. Heggeseth, Steven J. Miller

We found substituting ICD majors for the CoFA-identified clusters simplified the model without compromising the accuracy of predictions.

Clustering

A Derivation of the Pythagorean Won-Loss Formula in Baseball

1 code implementation29 Sep 2005 Steven J. Miller

RA) is the mean of the random variable corresponding to runs scored (allowed), and RS - b (resp.

Statistics Theory History and Overview Statistics Theory

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