8 citations · 10 across the 10 of their papers we have counts for
12 papers
TERRA: Learning Transportable Latent Actions through Temporal Effect Representation and Relational Alignment
Tianxingjian Ding, Mubarak Shah, Yu Tian
Latent actions supervise robot policies with action-like codes inferred from visual transitions, and their usefulness hinges on two questions: what a code keeps from a transition,…
Burning rooted graph products
John Peca-Medlin
The burning number of a graph is the minimum number of rounds required to burn all vertices when, at each discrete step, existing fires spread to neighboring vertices an…
The Horton-Strahler number of butterfly trees
John Peca-Medlin
The Horton-Strahler (HS) number, a classical measure of branching complexity arising in hydrology and register allocation, is studied for butterfly trees, a recursive family of bin…
Heights of butterfly trees
John Peca-Medlin, Chenyang Zhong
Binary search trees (BSTs) are fundamental data structures whose performance is largely governed by tree height. We introduce a block model for constructing BSTs by embedding inter…
Pivot probabilities and norm effects in Gaussian elimination for -ensembles
Kenji Gunawan, John Peca-Medlin
We analyze pivot probabilities in Gaussian elimination with partial pivoting (GEPP) for random matrix ensembles. For GUE matrices, we resolve a previously reported dis…
On the longest increasing subsequence and number of cycles of butterfly permutations
John Peca-Medlin, Chenyang Zhong
One method to generate random permutations involves using Gaussian elimination with partial pivoting (GEPP) on a random matrix and storing the permutation matrix factor fro…
Complete pivoting growth of butterfly matrices and butterfly Hadamard matrices
John Peca-Medlin
The growth problem in Gaussian elimination (GE) remains a foundational question in numerical analysis and numerical linear algebra. Wilkinson resolved the growth problem in GE with…
Total positivity and spectral theory for Toeplitz Hessenberg matrix ensembles
Nicholas Ercolani, John Peca-Medlin, Jonathan Ramalheira-Tsu
In this paper we define and lay the groundwork for studying a novel matrix ensemble: totally positive Hessenberg Toeplitz operators, denoted TPHT. This is the intersection of two e…
Random matrix statistics and safety rest areas on interstates in the United States
Jia Cai, John Peca-Medlin, Yunke Wan
We analyze physical spacings between locations of safety rest areas on interstates in the United States. We show normalized safety rest area spacings on major interstates exhibit W…
Growth factors of orthogonal matrices and local behavior of Gaussian elimination with partial and complete pivoting
John Peca-Medlin
Gaussian elimination (GE) is the most used dense linear solver. Error analysis of GE with selected pivoting strategies on well-conditioned systems can focus on studying the behavio…
Distribution of the number of pivots needed using Gaussian elimination with partial pivoting on random matrices
John Peca-Medlin
Gaussian elimination with partial pivoting (GEPP) is a widely used method to solve dense linear systems. Each GEPP step uses a row transposition pivot movement if needed to ensure…
Growth factors of random butterfly matrices and the stability of avoiding pivoting
John Peca-Medlin, Thomas Trogdon
Random butterfly matrices were introduced by Parker in 1995 to remove the need for pivoting when using Gaussian elimination. The growing applications of butterfly matrices have oft…