activity
20212026
most citedOn Bias and Its Reduction via Standardization in Discretized Electromagnetic Source Localization Problems

3 citations · 5 across the 12 of their papers we have counts for

collaborators

13 papers

math.NA2026

Anatomical Connectivity from Tractography-free Diffusion Tensor Imaging and Its Application to EEG Brain Imagin

Joonas Lahtinen

This proof-of-concept paper demonstrates how the Kalman filter, as a brain imaging method, can be enhanced by incorporating raw diffusion tensor imaging (DTI) data without tractogr…

math.NA2026

Advanced EEG Source Models from the Perspective of FEM and Inverse Solutions

Santtu Söderholm, Joonas Lahtinen, Sampsa Pursiainen

In this study, we compare forward solutions computed with finite element methods in Zeffiro Interface and DUNEuro, using the different source models they provided. We compared two…

cs.IT2026

On Unbiased Parameter Estimation and Signal Reconstruction

Joonas Lahtinen

In this paper, we extend the theory of depth-unbiased source localization to unbiased parameter estimation and signal reconstruction for an arbitrary number of non-zero parameters.…

math.NA2026

Overview of Bayesian Solvers in EEG Distributed Source Models: Prior Selection, Algorithmic Implementation, and Depth Bias Reduction

Joonas Lahtinen, Alexandra Koulouri

Electroencephalography (EEG) source imaging aims to reconstruct the spatial distribution of neural activity within the brain from non-invasive scalp measurements. This inverse prob…

math.NA2026

Forward--Inverse Interplay in FEM-Based EEG Source Imaging: Distributional Signatures of Advanced Source Models and Inverse Solvers

Santtu Söderholm, Joonas Lahtinen, Sampsa Pursiainen

Electroencephalography (EEG) source imaging aims to infer brain activity from electrical potentials measured on the scalp. This is a difficult problem because many different source…

math.NA2025

Tracking EEG Thalamic and Cortical Focal Brain Activity using Standardized Kalman Filtering with Kinematics Modeling

Veikka Piispa, Dilshanie Prasikala, Joonas Lahtinen +2

Kalman filtering has proven to be effective for estimating brain activity using EEG recordings. In particular, the introduced post hoc standardization step of the algorithm, inspir…

math.NA2025

The Effect of Prior Parameters on Standardized Kalman Filter-Based EEG Source Localization

Dilshanie Prasikala, Joonas Lahtinen, Alexandra Koulouri +1

EEG Source localization is a critical tool in neuroscience, with applications ranging from epilepsy diagnosis to cognitive research. It involves solving an ill-posed inverse proble…

stat.AP2025

Stable EEG Source Estimation for Standardized Kalman Filter using Change Rate Tracking

Joonas Lahtinen

This article focuses on the measurement and evolution modeling of Standardized Kalman filtering for brain activity estimation using non-invasive electroencephalography data. Here,…

math.OC2024★ 3 cited

On Bias and Its Reduction via Standardization in Discretized Electromagnetic Source Localization Problems

Joonas Lahtinen

In electromagnetic source localization problems stemming from linearized Poisson-type equation, the aim is to locate the sources within a domain that produce given measurements on…

math.NA2023★ 1 cited

The Effects of Peeling on Finite Element Method -based EEG Source Reconstruction

Santtu Söderholm, Joonas Lahtinen, Carsten H. Wolters +1

The problem of reconstructing brain activity from electric potential measurements performed on the surface of a human head is not an easy task: not just because the solution of the…

math.AP2023

Pressure-Poisson Equation in Numerical Simulation of Cerebral Arterial Circulation and Its Effect on the Electrical Conductivity of the Brain

Maryam Samavaki, Yusuf Oluwatoki Yusuf, Arash Zarrin nia +4

This study considers dynamic modelling of the cerebral arterial circulation and reconstructing an atlas for the electrical conductivity of the brain. While high-resolution 7-Tesla…

math.AP2022★ 1 cited

Multi-compartment human head modeling: generating adaptive tetrahedral mesh with GPU acceleration

Fernando Galaz Prieto, Joonas Lahtinen, Maryam Samavaki +1

This paper introduces a highly adaptive and automated approach for generating Finite Element (FE) discretization for a given realistic multi-compartment human head model obtained t…

math.NA2021

Conditionally Exponential Prior in Focal Near- and Far-Field EEG Source Localization via Randomized Multiresolution Scanning (RAMUS)

Joonas Lahtinen, Alexandra Koulouri, Atena Rezaei +1

In this paper, we focus on the inverse problem of reconstructing distributional brain activity with cortical and weakly detectable deep components in non-invasive Electroencephalog…