Search Results for author: Michael Ruzhansky

Found 10 papers, 2 papers with code

LSTM-CNN: An efficient diagnostic network for Parkinson's disease utilizing dynamic handwriting analysis

no code implementations20 Nov 2023 Xuechao Wang, Junqing Huang, Sven Nomm, Marianna Chatzakou, Kadri Medijainen, Aaro Toomela, Michael Ruzhansky

Conclusions: We present a series of experiments with extensive analysis, which systematically demonstrate the effectiveness and efficiency of the proposed hybrid neural network in extracting distinctive handwriting patterns for precise diagnosis of Parkinson's disease.

Optimal Image Transport on Sparse Dictionaries

no code implementations3 Nov 2023 Junqing Huang, Haihui Wang, Andreas Weiermann, Michael Ruzhansky

In this paper, we derive a novel optimal image transport algorithm over sparse dictionaries by taking advantage of Sparse Representation (SR) and Optimal Transport (OT).

Image-to-Image Translation Style Transfer

Semi-sparsity Priors for Image Structure Analysis and Extraction

no code implementations17 Aug 2023 Junqing Huang, Haihui Wang, Michael Ruzhansky

Image structure-texture decomposition is a long-standing and fundamental problem in both image processing and computer vision fields.

A Light-weight CNN Model for Efficient Parkinson's Disease Diagnostics

no code implementations2 Feb 2023 Xuechao Wang, Junqing Huang, Marianna Chatzakou, Kadri Medijainen, Pille Taba, Aaro Toomela, Sven Nomm, Michael Ruzhansky

In recent years, deep learning methods have achieved great success in various fields due to their strong performance in practical applications.

Time Series Time Series Analysis

Intrinsic Image Transfer for Illumination Manipulation

1 code implementation1 Jul 2021 Junqing Huang, Michael Ruzhansky, Qianying Zhang, Haihui Wang

We illustrate that all losses can be reduced without the necessity of taking an intrinsic image decomposition under the well-known spatial-varying illumination illumination-invariant reflectance prior knowledge.

Image Compression Image Enhancement +2

Semi-Sparsity for Smoothing Filters

1 code implementation1 Jul 2021 Junqing Huang, Haihui Wang, Xuechao Wang, Michael Ruzhansky

In this paper, we propose an interesting semi-sparsity smoothing algorithm based on a novel sparsity-inducing optimization framework.

Hardy inequalities on metric measure spaces, II: The case $p>q$

no code implementations11 Feb 2021 Michael Ruzhansky, Daulti Verma

In this note we continue giving the characterisation of weights for two-weight Hardy inequalities to hold on general metric measure spaces possessing polar decompositions.

Functional Analysis Mathematical Physics Analysis of PDEs Mathematical Physics Spectral Theory 26D10, 22E30

Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups

no code implementations28 Jan 2021 Duván Cardona, Michael Ruzhansky

We investigate the boundedness of Fourier multipliers on a compact Lie group when acting on Triebel-Lizorkin spaces.

Functional Analysis Analysis of PDEs Representation Theory

Hardy and Rellich inequalities with Bessel pairs

no code implementations18 Jan 2021 Michael Ruzhansky, Bolys Sabitbek

In this paper, we establish suitable characterisations for a pair of functions $(W(x), H(x))$ on a bounded, connected domain $\Omega \subset \mathbb{R}^n$ in order to have the following Hardy inequality \begin{equation*} \int_{\Omega} W(x) |\nabla u|_A^2 dx \geq \int_{\Omega} |\nabla d|^2_AH(x)|u|^2 dx, \,\,\, u \in C^{1}_0(\Omega), \end{equation*} where $d(x)$ is a suitable quasi-norm (gauge), $|\xi|^2_A = \langle A(x)\xi, \xi \rangle$ for $\xi \in \mathbb{R}^n$ and $A(x)$ is an $n\times n$ symmetric, uniformly positive definite matrix defined on a bounded domain $\Omega \subset \mathbb{R}^n$.

Analysis of PDEs 35A23, 35R45, 35B09, 34A40

Determinants and Plemelj-Smithies formulas

no code implementations24 Dec 2020 Duván Cardona, Julio Delgado, Michael Ruzhansky

We establish Plemelj-Smithies formulas for determinants in different algebras of operators.

Functional Analysis Differential Geometry Operator Algebras Spectral Theory

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