Mohammad Javad Latifi Jebelli
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View article: Tensor network approximation of Koopman operators
Tensor network approximation of Koopman operators Open
We propose a tensor network framework for approximating the evolution of observables of measure-preserving ergodic systems. Our approach is based on a spectrally-convergent approximation of the skew-adjoint Koopman generator by a diagonali…
View article: Kernel Smoothing Operators on Thick Open Domains
Kernel Smoothing Operators on Thick Open Domains Open
We define the notion of a thick open set $Ω$ in a Euclidean space and show that a local Hardy-Littlewood inequality holds in $L^p(Ω)$, $p \in (1, \infty]$. We then establish pointwise and $L^p(Ω)$ convergence for families of convolution op…
View article: Numerical implementation of generalized V-line transforms on 2D vector fields and their inversions
Numerical implementation of generalized V-line transforms on 2D vector fields and their inversions Open
The paper discusses numerical implementations of various inversion schemes for generalized V-line transforms on vector fields introduced in [6]. It demonstrates the possibility of efficient recovery of an unknown vector field from five dif…
View article: Multi-Priority Graph Sparsification
Multi-Priority Graph Sparsification Open
A \emph{sparsification} of a given graph $G$ is a sparser graph (typically a subgraph) which aims to approximate or preserve some property of $G$. Examples of sparsifications include but are not limited to spanning trees, Steiner trees, sp…
View article: Lattice models and super telescoping formula
Lattice models and super telescoping formula Open
In this paper, we introduce the super telescoping formula, a natural generalization of well-known telescoping formula. We explore various aspects of the formula including its origin and the telescoping cancellations emerging from symmetric…
View article: Inversion and Symmetries of the Star Transform
Inversion and Symmetries of the Star Transform Open
View article: Prediction of track geometry degradation using artificial neural network: a case study
Prediction of track geometry degradation using artificial neural network: a case study Open
The aim of this study has been to predict the track geometry degradation rate using artificial neural network. Tack geometry measurements, asset information, and maintenance history for five line sections from the Swedish railway network w…
View article: Graph spanners: A tutorial review
Graph spanners: A tutorial review Open
View article: Multi-Level Graph Sketches via Single-Level Solvers
Multi-Level Graph Sketches via Single-Level Solvers Open
Given an undirected weighted graph $G(V,E)$, a constrained sketch over a terminal set $T\subset V$ is a subgraph $G'$ that connects the terminal vertices while satisfying a given set of constraints. Examples include Steiner trees (preservi…
View article: A general framework for multi-level subsetwise graph sparsifiers
A general framework for multi-level subsetwise graph sparsifiers Open
Given an undirected weighted graph $G(V,E)$, a subsetwise sparsifier over a terminal set $T\subset V$ is a subgraph $G'$ having a certain structure which connects the terminals. Examples are Steiner trees (minimal-weight trees spanning $T$…
View article: Approximation algorithms and an integer program for multi-level graph\n spanners
Approximation algorithms and an integer program for multi-level graph\n spanners Open
Given a weighted graph $G(V,E)$ and $t \\ge 1$, a subgraph $H$ is a\n\\emph{$t$--spanner} of $G$ if the lengths of shortest paths in $G$ are\npreserved in $H$ up to a multiplicative factor of $t$. The \\emph{subsetwise\nspanner} problem ai…
View article: The V-line transform with some generalizations and cone differentiation
The V-line transform with some generalizations and cone differentiation Open
The paper studies various properties of the V-line transform (VLT) in the plane and conical Radon transform (CRT) in $\mathbb{R}^n$. VLT maps a function to a family of its integrals along trajectories made of two rays emanating from a comm…
View article: Approximation Algorithms and an Integer Program for Multi-level Graph Spanners
Approximation Algorithms and an Integer Program for Multi-level Graph Spanners Open