11 citations · 12 across the 12 of their papers we have counts for
15 papers
On Transformer Dynamics
Mohammad Javad Latifi Jebelli
We develop a geometric framework in which the token dynamics of a transformer are modeled by a system of interacting particles on a Riemannian manifold , the attention…
On Algebras of Functions over Infinite Dimensions
Dimitrios Giannakis, Mohammad Javad Latifi Jebelli, Michael Montgomery
We introduce a family of reproducing kernel Hilbert spaces of holomorphic functions defined on an infinite--dimensional domain in a separable Hilbert space, $\mathbb…
Curvature of high-dimensional data
Jiayi Chen, Mohammad Javad Latifi Jebelli, Daniel N. Rockmore
We consider the problem of estimating curvature where the data can be viewed as a noisy sample from an underlying manifold. For manifolds of dimension greater than one there are mu…
Symmetric star transforms and the algebraic geometry of their dual differential operators
Gaik Ambartsoumian, Asher Auel, Mohammad Javad Latifi Jebelli
The star transform is a generalized Radon transform mapping a function on to the function whose value at a point is the integral along a union of rays emanating from…
Second quantization for classical nonlinear dynamics
Dimitrios Giannakis, Mohammad Javad Latifi Jebelli, Michael Montgomerry +3
Using techniques from many-body quantum theory, we propose a framework for representing the evolution of observables of measure-preserving ergodic flows through infinite-dimensiona…
Tensor network approximation of Koopman operators
Dimitrios Giannakis, Mohammad Javad Latifi Jebelli, Michael Montgomery +3
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 approxi…
Kernel Smoothing Operators on Thick Open Domains
Dimitrios Giannakis, Mohammad Javad Latifi Jebelli
We define the notion of a thick open set in a Euclidean space and show that a local Hardy-Littlewood inequality holds in , . We then establish pointw…
Numerical implementation of generalized V-line transforms on 2D vector fields and their inversions
Gaik Ambartsoumian, Mohammad Javad Latifi Jebelli, Rohit Kumar Mishra
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…
Multi-Priority Graph Sparsification
Reyan Ahmed, Keaton Hamm, Stephen Kobourov +3
A \emph{sparsification} of a given graph is a sparser graph (typically a subgraph) which aims to approximate or preserve some property of . Examples of sparsifications inclu…
Lattice models and super telescoping formula
Mohammad Javad Latifi Jebelli
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 origi…
Generalized V-line transforms in 2D vector tomography
Gaik Ambartsoumian, Mohammad Javad Latifi Jebelli, Rohit Kumar Mishra
We study the inverse problem of recovering a vector field in from a set of new generalized -line transforms in three different ways. First, we introduce the longi…
Graph Spanners: A Tutorial Review
Reyan Ahmed, Greg Bodwin, Faryad Darabi Sahneh +4
This tutorial review provides a guiding reference to researchers who want to have an overview of the large body of literature about graph spanners. It reviews the current literatur…
Multi-Level Graph Sketches via Single-Level Solvers
Reyan Ahmed, Keaton Hamm, Mohammad Javad Latifi Jebelli +3
Given an undirected weighted graph , a constrained sketch over a terminal set is a subgraph that connects the terminal vertices while satisfying a given s…
Approximation algorithms and an integer program for multi-level graph spanners
Reyan Ahmed, Keaton Hamm, Mohammad Javad Latifi Jebelli +3
Given a weighted graph and , a subgraph is a \emph{--spanner} of if the lengths of shortest paths in are preserved in up to a multiplicative fa…
The V-line transform with some generalizations and cone differentiation
Gaik Ambartsoumian, Mohammad Javad Latifi Jebelli
The paper studies various properties of the V-line transform (VLT) in the plane and conical Radon transform (CRT) in . VLT maps a function to a family of its integral…