Piotr Minakowski
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View article: Mitigating Subject Dependency in EEG Decoding with Subject-Specific Low-Rank Adapters
Mitigating Subject Dependency in EEG Decoding with Subject-Specific Low-Rank Adapters Open
Subject-specific distribution shifts represent an important obstacle to the development of foundation models for EEG decoding. To address this, we propose Subject-Conditioned Layer,, an adaptive layer designed as a drop-in replacement for …
View article: Flexible Patched Brain Transformer model for EEG decoding
Flexible Patched Brain Transformer model for EEG decoding Open
View article: Data clustering as an emergent consensus of autonomous agents
Data clustering as an emergent consensus of autonomous agents Open
View article: Temporal kinetics of brain state effects on visual perception
Temporal kinetics of brain state effects on visual perception Open
We investigated the effects of brain states on human perception and early visual response comparing focused wakefulness (ON state) to external inattention (OFF state). In two experiments, we investigated the temporal kinetics of brain stat…
View article: Comparison of the symmetric hyperbolic thermodynamically compatible framework with Hamiltonian mechanics of binary mixtures
Comparison of the symmetric hyperbolic thermodynamically compatible framework with Hamiltonian mechanics of binary mixtures Open
View article: A dynamical core based on a discontinuous Galerkin method for higher-order finite-element sea ice modeling
A dynamical core based on a discontinuous Galerkin method for higher-order finite-element sea ice modeling Open
The ability of numerical sea ice models to reproduce localized deformation features associated with fracture processes is key for an accurate representation of the ice dynamics and of dynamically coupled physical processes in the Arctic an…
View article: Comment on egusphere-2023-391
Comment on egusphere-2023-391 Open
Abstract. The ability of numerical sea ice models to reproduce localized deformation features associated with fracture processes is key for an accurate representation of the ice dynamics and of dynamically coupled physical…
View article: The neXtSIM-DG dynamical core: A Framework for Higher-order Finite Element Sea Ice Modeling
The neXtSIM-DG dynamical core: A Framework for Higher-order Finite Element Sea Ice Modeling Open
The ability of numerical sea ice models to reproduce localized deformation features associated with fracture processes is key for an accurate representation of the ice dynamics and of dynamically coupled physical processes in the Arctic an…
View article: Higher-order Numerical Simulation of Elasto-visco-plastic Sea Ice Models on Idealised Benchmarks
Higher-order Numerical Simulation of Elasto-visco-plastic Sea Ice Models on Idealised Benchmarks Open
In this study, we numerically compare two elasto-visco-plastic sea ice models: the Maxwell Elasto Brittle (MEB) and the Brittle Bingham Maxwell (BBM). We examine the linear kinematic features and overall deformation of sea ice in two ideal…
View article: Data Clustering as an Emergent Consensus of Autonomous Agents
Data Clustering as an Emergent Consensus of Autonomous Agents Open
We present a data segmentation method based on a first-order density-induced consensus protocol. We provide a mathematically rigorous analysis of the consensus model leading to the stopping criteria of the data segmentation algorithm. To i…
View article: Comparison of the Symmetric Hyperbolic Thermodynamically Compatible framework with Hamiltonian mechanics of binary mixtures
Comparison of the Symmetric Hyperbolic Thermodynamically Compatible framework with Hamiltonian mechanics of binary mixtures Open
How to properly describe continuum thermodynamics of binary mixtures where each constituent has its own momentum? The Symmetric Hyperbolic Thermodynamically Consistent (SHTC) framework and Hamiltonian mechanics in the form of the General E…
View article: A priori and a posteriori error estimates for the Deep Ritz method applied to the Laplace and Stokes problem
A priori and a posteriori error estimates for the Deep Ritz method applied to the Laplace and Stokes problem Open
We analyze neural network solutions to partial differential equations obtained with Physics Informed Neural Networks. In particular, we apply tools of classical finite element error analysis to obtain conclusions about the error of the Dee…
View article: Error Estimates for Neural Network Solutions of Partial Differential Equations.
Error Estimates for Neural Network Solutions of Partial Differential Equations. Open
We develop an error estimator for neural network approximations of PDEs. The proposed approach is based on dual weighted residual estimator (DWR). It is destined to serve as a stopping criterion that guarantees the accuracy of the solution…
View article: On the Impact of Fluid Structure Interaction in Blood Flow Simulations
On the Impact of Fluid Structure Interaction in Blood Flow Simulations Open
View article: Density-induced consensus protocol
Density-induced consensus protocol Open
The paper introduces a model of collective behavior where agents receive information only from sufficiently dense crowds in their immediate vicinity. The system is an asymmetric, density-induced version of the Cucker–Smale model with short…
View article: On the Impact of Fluid Structure Interaction in Blood Flow Simulations: Stenotic Coronary Artery Benchmark
On the Impact of Fluid Structure Interaction in Blood Flow Simulations: Stenotic Coronary Artery Benchmark Open
We study the impact of using fluid-structure interactions (FSI) to simulate blood flow in a large stenosed artery. We compare typical flow configurations using Navier-Stokes in a rigid geometry setting to a fully coupled FSI model. The rel…
View article: Numerical benchmarking of fluid-rigid body interactions
Numerical benchmarking of fluid-rigid body interactions Open
View article: Finite Element Error Estimates under Geometric Uncertainty
Finite Element Error Estimates under Geometric Uncertainty Open
We develop error estimates for the finite element approximation of elliptic partial differential equations under geometric uncertainty, i.e. when the computational domain does not match the real geometry. The result shows that the uncertai…
View article: Singular Cucker–Smale Dynamics
Singular Cucker–Smale Dynamics Open
View article: Transport of congestion in two-phase compressible/incompressible flows
Transport of congestion in two-phase compressible/incompressible flows Open
View article: Finite volume approximations of the Euler system with variable congestion
Finite volume approximations of the Euler system with variable congestion Open
View article: Stress-diffusive regularizations of non-dissipative rate-type materials
Stress-diffusive regularizations of non-dissipative rate-type materials Open
We consider non-dissipative (elastic) rate-type material models that are derived within the Gibbs-potential-based thermodynamic framework. Since the absence of any dissipative mechanism in the model prevents us from establishing even a loc…
View article: A Gibbs-potential-based framework for ideal plasticity of crystalline solids treated as a material flow through an adjustable crystal lattice space and its application to three-dimensional micropillar compression
A Gibbs-potential-based framework for ideal plasticity of crystalline solids treated as a material flow through an adjustable crystal lattice space and its application to three-dimensional micropillar compression Open