Zobrazeno 1 - 10
of 311
pro vyhledávání: '"Roy, Saikat"'
Autor:
Rokuss, Maximilian, Kirchhoff, Yannick, Roy, Saikat, Kovacs, Balint, Ulrich, Constantin, Wald, Tassilo, Zenk, Maximilian, Denner, Stefan, Isensee, Fabian, Vollmuth, Philipp, Kleesiek, Jens, Maier-Hein, Klaus
Accurate segmentation of Multiple Sclerosis (MS) lesions in longitudinal MRI scans is crucial for monitoring disease progression and treatment efficacy. Although changes across time are taken into account when assessing images in clinical practice, m
Externí odkaz:
http://arxiv.org/abs/2409.13416
For a complex Banach space $\mathbb X$, we prove that $\mathbb X$ is a Hilbert space if and only if every strict contraction $T$ on $\mathbb X$ dilates to an isometry if and only if for every strict contraction $T$ on $\mathbb X$ the function $A_T: \
Externí odkaz:
http://arxiv.org/abs/2407.15112
Publikováno v:
Linear Algebra and its applications 2021
We characterize Birkhoff-James orthogonality of continuous vector-valued functions on a compact topological space. As an application of our investigation, Birkhoff-James orthogonality of real bilinear forms are studied. This allows us to present an e
Externí odkaz:
http://arxiv.org/abs/2407.13713
Autor:
Isensee, Fabian, Wald, Tassilo, Ulrich, Constantin, Baumgartner, Michael, Roy, Saikat, Maier-Hein, Klaus, Jaeger, Paul F.
The release of nnU-Net marked a paradigm shift in 3D medical image segmentation, demonstrating that a properly configured U-Net architecture could still achieve state-of-the-art results. Despite this, the pursuit of novel architectures, and the respe
Externí odkaz:
http://arxiv.org/abs/2404.09556
Autor:
Kirchhoff, Yannick, Rokuss, Maximilian R., Roy, Saikat, Kovacs, Balint, Ulrich, Constantin, Wald, Tassilo, Zenk, Maximilian, Vollmuth, Philipp, Kleesiek, Jens, Isensee, Fabian, Maier-Hein, Klaus
Accurately segmenting thin tubular structures, such as vessels, nerves, roads or concrete cracks, is a crucial task in computer vision. Standard deep learning-based segmentation loss functions, such as Dice or Cross-Entropy, focus on volumetric overl
Externí odkaz:
http://arxiv.org/abs/2404.03010
The ``Eshelby problem" refers to the response of a 2-dimensional elastic sheet to cutting away a circle, deforming it into an ellipse, and pushing it back. The resulting response is dominated by the so-called ``Eshelby Kernel" which was derived for p
Externí odkaz:
http://arxiv.org/abs/2309.13603
The accurate detection of suspicious regions in medical images is an error-prone and time-consuming process required by many routinely performed diagnostic procedures. To support clinicians during this difficult task, several automated solutions were
Externí odkaz:
http://arxiv.org/abs/2306.15472
Autor:
Pal, Sourav, Roy, Saikat
We study the interaction between unitary $\rho$-dilations of a pair of Hilbert space operators and Birkhoff-James orthogonality. We prove that for two orthogonal operators $T,A$ if $\|T\|=\rho$, then $U_T \perp_B U_A$ for any unitary $\rho$-dilations
Externí odkaz:
http://arxiv.org/abs/2306.12237
The main aim of this paper is to provide characterizations of Birkhoff-James orthogonality (BJ-orthogonality in short) in a number of families of Banach spaces in terms of the elements of significant subsets of the unit ball of their dual spaces, whi
Externí odkaz:
http://arxiv.org/abs/2306.02638
Autor:
Peretzke, Robin, Maier-Hein, Klaus, Bohn, Jonas, Kirchhoff, Yannick, Roy, Saikat, Oberli-Palma, Sabrina, Becker, Daniela, Lenga, Pavlina, Neher, Peter
Accurately identifying white matter tracts in medical images is essential for various applications, including surgery planning and tract-specific analysis. Supervised machine learning models have reached state-of-the-art solving this task automatical
Externí odkaz:
http://arxiv.org/abs/2305.18905