Zobrazeno 1 - 10
of 553
pro vyhledávání: '"Mishra Rohit"'
In this article, we study the problem of recovering symmetric $m$-tensor fields (including vector fields) supported in a unit disk $\mathbb{D}$ from a set of generalized V-line transforms, namely longitudinal, transverse, and mixed V-line transforms,
Externí odkaz:
http://arxiv.org/abs/2411.04145
This article presents the numerical verification and validation of several inversion algorithms for V-line transforms (VLTs) acting on symmetric 2-tensor fields in the plane. The analysis of these transforms and the theoretical foundation of their in
Externí odkaz:
http://arxiv.org/abs/2405.03249
This article studies the inverse problem of recovering a vector field supported in $\mathbb{D}_R$, the disk of radius $R$ centered at the origin, through a set of generalized broken ray/V-line transforms, namely longitudinal and transverse V-line tra
Externí odkaz:
http://arxiv.org/abs/2404.12479
In this article, we study various aspects of the mixed ray transform of $(k + \ell)$-tensor fields that are symmetric in its first $k$ and last $\ell$ indices. As a first result, we derive an inversion algorithm to recover the solenoidal part of the
Externí odkaz:
http://arxiv.org/abs/2404.10753
Autor:
Mishra, Rohit Kumar, Thakkar, Chandni
In this paper, a restricted transverse ray transform acting on vector and symmetric $m$-tensor fields is studied. We developed inversion algorithms using restricted transverse ray transform data to recover symmetric $m$-tensor fields in $\mathbb{R}^3
Externí odkaz:
http://arxiv.org/abs/2402.17683
In this article, we introduce and study various V-line transforms (VLTs) defined on symmetric 2-tensor fields in $\mathbb{R}^2$. The operators of interest include the longitudinal, transverse, and mixed VLTs, their integral moments, and the star tran
Externí odkaz:
http://arxiv.org/abs/2306.13245
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 different type
Externí odkaz:
http://arxiv.org/abs/2305.08975
In this technical report, we explore the behavior of Recursive Feature Machines (RFMs), a type of novel kernel machine that recursively learns features via the average gradient outer product, through a series of experiments on regression datasets. Wh
Externí odkaz:
http://arxiv.org/abs/2303.15745
Autor:
Daripa, Prabir, Mishra, Rohit
Two distinct effects that polymers exhibit are shear thinning and viscoelasticity. The shear thinning effect is important as the polymers used in chemical enhanced oil recovery usually have this property. We propose a novel approach to incorporate th
Externí odkaz:
http://arxiv.org/abs/2301.04290
We consider a partial data inverse problem for a time-dependent convection-diffusion equation on an admissible manifold. We prove that the time-dependent convection term and time-dependent density can be recovered uniquely modulo a known gauge invari
Externí odkaz:
http://arxiv.org/abs/2209.08780