44 citations · 173 across the 21 of their papers we have counts for
22 papers
Multimodal LLMs Can Learn to Read Brain Signals: A Vision--Language Model for Unified Multi-Task EEG Decoding
Parastoo Azizeddin, Omid Sharafi, Maryam M. Shanechi
Learning EEG representations that generalize across cognitive tasks, subjects, and recording conditions remains a key challenge in electroencephalography (EEG) decoding. Recent adv…
Torus computed tomography for experimental data
Ella Salo, Alexander Meaney, Olli Koskela +1
Torus computed tomography (Torus CT) reconstructs the Fourier coefficients of an image from X-ray data along closed geodesics on the flat torus. We extend Torus CT to experimental…
A Galerkin Finite Element Method for the Fractional Calderón Problem
Mukul Dwivedi, Jesse Railo, Andreas Rupp
We study a numerical reconstruction strategy for the potential in the fractional Calderón problem from a single partial exterior measurement. The forward model is the fractional Sc…
Bayesian inference for the fractional Calderón problem with a single measurement
Pu-Zhao Kow, Janne Nurminen, Jesse Railo
This paper investigates the consistency of a posterior distribution in the single-measurement fractional Calderón problem with additive Gaussian noise. We consider a Bayesian frame…
A note on the Fourier magnitude data and Sobolev embeddings
Jesse Railo
We study Sobolev , , stability of the Fourier phase problem to recover from the knowledge of with an additional Bessel potentia…
Loop group factorization method for the magnetic and thermostatic nonabelian ray transforms
Shubham R. Jathar, Manas Kar, Jesse Railo
We study the injectivity of the matrix attenuated and nonabelian ray transforms on compact surfaces with boundary for nontrapping -geodesic flows and the general linear group of…
Broken ray transform for twisted geodesics on surfaces with a reflecting obstacle
Shubham R. Jathar, Manas Kar, Jesse Railo
We prove a uniqueness result for the broken ray transform acting on the sums of functions and -forms on surfaces in the presence of an external force and a reflecting obstacle.…
The Calderón problem for a nonlocal diffusion equation with time-dependent coefficients
Yi-Hsuan Lin, Jesse Railo, Philipp Zimmermann
We investigate global uniqueness for an inverse problem for a nonlocal diffusion equation on domains that are bounded in one direction. The coefficients are assumed to be unknown a…
Stability estimates for the inverse fractional conductivity problem
Giovanni Covi, Jesse Railo, Teemu Tyni +1
We study the stability of an inverse problem for the fractional conductivity equation on bounded smooth domains. We obtain a logarithmic stability estimate for the inverse problem…
Low regularity theory for the inverse fractional conductivity problem
Jesse Railo, Philipp Zimmermann
We characterize partial data uniqueness for the inverse fractional conductivity problem with regularity assumptions in all dimensions. This extends the earlier results…
The fractional -biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems
Manas Kar, Jesse Railo, Philipp Zimmermann
This article investigates nonlocal, fully nonlinear generalizations of the classical biharmonic operator . These fractional -biharmonic operators appear naturally in the…
The global inverse fractional conductivity problem
Giovanni Covi, Jesse Railo, Philipp Zimmermann
We prove \emph{global} uniqueness for an inverse problem for the fractional conductivity equation on domains that are bounded in one direction. The conductivities are assumed to be…
Fractional Calderón problems and Poincaré inequalities on unbounded domains
Jesse Railo, Philipp Zimmermann
We generalize many recent uniqueness results on the fractional Calderón problem to cover the cases of all domains with nonempty exterior. The highlight of our work is the character…
Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data
Jesse Railo, Philipp Zimmermann
We construct counterexamples for the partial data inverse problem for the fractional conductivity equation in all dimensions on general bounded open sets. In particular, we show th…
Geodesic tomography problems on Riemannian manifolds
Jesse Railo
This PhD dissertation is concerned with integral geometric inverse problems. The geodesic ray transform is an operator that encodes the line integrals of a function along geodesics…
On mixed and transverse ray transforms on orientable surfaces
Joonas Ilmavirta, Keijo Mönkkönen, Jesse Railo
The geodesic ray transform, the mixed ray transform and the transverse ray transform of a tensor field on a manifold can all be seen as what we call mixing ray transforms, composit…
The higher order fractional Calderón problem for linear local operators: uniqueness
Giovanni Covi, Keijo Mönkkönen, Jesse Railo +1
We study an inverse problem for the fractional Schrödinger equation (FSE) with a local perturbation by a linear partial differential operator (PDO) of order smaller than the order…
Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems
Giovanni Covi, Keijo Mönkkönen, Jesse Railo
We prove a unique continuation property for the fractional Laplacian when . In addition, we study Poincaré-type inequalities for t…
Fourier analysis of periodic Radon transforms
Jesse Railo
We study reconstruction of an unknown function from its -plane Radon transform on the flat -torus when . We prove new reconstruction formulas and stability…
Torus computed tomography
Joonas Ilmavirta, Olli Koskela, Jesse Railo
We present a new computed tomography (CT) method for inverting the Radon transform in 2D. The idea relies on the geometry of the flat torus, hence we call the new method Torus CT.…
Geodesic ray transform with matrix weights for piecewise constant functions
Joonas Ilmavirta, Jesse Railo
We show injectivity of the geodesic X-ray transform on piecewise constant functions when the transform is weighted by a continuous matrix weight. The manifold is assumed to be comp…
Tensor tomography on Cartan-Hadamard manifolds
Jere Lehtonen, Jesse Railo, Mikko Salo
We study the geodesic X-ray transform on Cartan-Hadamard manifolds, and prove solenoidal injectivity of this transform acting on functions and tensor fields of any order. The funct…