368 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of California, Los AngelesUS3 papers
- University of WashingtonUS3 papers
- Case Western Reserve UniversityUS2 papers
- Stanford UniversityUS2 papers
- Dalian University of TechnologyCN1 paper
- Duke UniversityUS1 paper
- Harvard UniversityUS1 paper
- Highline CollegeUS1 paper
- Lake Superior State UniversityUS1 paper
- Memorial University of NewfoundlandCA1 paper
- Peoples' Friendship University of RussiaRU1 paper
- Rice UniversityUS1 paper
18 papers
Formalising Geometric Axioms for Minkowski Spacetime and Without-Loss-of-Generality Theorems
Richard Schmoetten, Jake Palmer, Jacques Fleuriot
This contribution reports on the continued formalisation of an axiomatic system for Minkowski spacetime (as used in the study of Special Relativity) which is closer in spirit to Hi…
Linear Openness and Feedback Stabilization of Nonlinear Control Systems
Rohit Gupta, Farhad Jafari, Robert J. Kipka +1
It is well known from the seminal Brockett's theorem that the openness property of the mapping on the right-hand side of a given nonlinear ODE control system is a necessary conditi…
A -enumeration of lozenge tilings of a hexagon with three dents
Tri Lai
We -enumerate lozenge tilings of a hexagon with three bowtie-shaped regions have been removed from three non-consecutive sides. The unweighted version of the result generalizes…
A fast patch-dictionary method for whole image recovery
Yangyang Xu, Wotao Yin
Various algorithms have been proposed for dictionary learning. Among those for image processing, many use image patches to form dictionaries. This paper focuses on whole-image reco…
Block stochastic gradient iteration for convex and nonconvex optimization
Yangyang Xu, Wotao Yin
The stochastic gradient (SG) method can minimize an objective function composed of a large number of differentiable functions, or solve a stochastic optimization problem, to a mode…
Coxeter-Knuth graphs and a signed Little map for type B reduced words
Sara Billey, Zachary Hamaker, Austin Roberts +1
We define an analog of David Little's algorithm for reduced words in type B, and investigate its main properties. In particular, we show that our algorithm preserves the recording…
Generating function of the tilings of Aztec rectangle with holes
Tri Lai
We consider a generating function of the domino tilings of an Aztec rectangle with several boundary unit squares removed. Our generating function involves two statistics: the rank…
Parallel matrix factorization for low-rank tensor completion
Yangyang Xu, Ruru Hao, Wotao Yin +1
Higher-order low-rank tensors naturally arise in many applications including hyperspectral data recovery, video inpainting, seismic data recon- struction, and so on. We propose a n…
Divergence for s-concave and log concave functions
Umut Caglar, Elisabeth M. Werner
We prove new entropy inequalities for log concave and s-concave functions that strengthen and generalize recently established reverse log Sobolev and Poincare inequalities for such…
On the mixed -divergence for multiple pairs of measures
Elisabeth M. Werner, Deping Ye
In this paper, the concept of the classical -divergence (for a pair of measures) is extended to the mixed -divergence (for multiple pairs of measures). The mixed -divergen…
On the maximum induced density of directed stars and related problems
Hao Huang
Let k>=3 be an integer, we prove that the maximum induced density of the k-vertex directed star in a directed graph is attained by an iterated blow-up construction. This confirms a…
Numerical Recovery of Source Singularities via the Radiative Transfer Equation with Partial Data
Mark Hubenthal
The inverse source problem for the radiative transfer equation is considered, with partial data. Here we demonstrate numerical computation of the normal operator w…
Nudged Elastic Band in Topological Data Analysis
Henry Adams, Atanas Atanasov, Gunnar Carlsson
We use the nudged elastic band method from computational chemistry to analyze high-dimensional data. Our approach is inspired by Morse theory, and as output we produce an increasin…
An Inverse Source Problem in Radiative Transfer with Partial Data
Mark Hubenthal
The inverse source problem for the radiative transfer equation is considered, with partial data. Here it is shown that under certain smoothness conditions on the scattering and abs…
On the Homothety Conjecture
Elisabeth M. Werner, Deping Ye
Let be a convex body in and $\d>0$. The homothety conjecture asks: Does $K_{\d}=c K$ imply that is an ellipsoid? Here $K_{\d}$ is the (convex) floating body and $c…
Topological Methods for Exploring Low-density States in Biomolecular Folding Pathways
Yuan Yao, Jian Sun, Xuhui Huang +3
Characterization of transient intermediate or transition states is crucial for the description of biomolecular folding pathways, which is however difficult in both experiments and…
Self-similar Focusing in Porous Media: An Explicit Calculation
D. G. Aronson
We consider a porous mediaum flow in which the gas is initially distributed in the exterior of an empty region (a hole) and study the final stage of the hole-filling process. Hole-…
Study of a Class of Regularizations of 1/|x| using Gaussian Integrals
Mary Beth Ruskai, Elisabeth Werner
This paper presents a comprehensive study of a class of functions which approximate 1/|x| for large x but which are finite at the origin. These functions arise naturally in the stu…