Tootfinder

Ill-posedness of the Euler equations and inviscid limit of the Navie-Stokes equations in Besov spaces
Jinlu Li, Xing Wu, Yanghai Yu
https://arxiv.org/abs/2507.02247

Ill-posedness of the Euler equations and inviscid limit of the Navie-Stokes equations in Besov spaces
In this paper, we consider the Cauchy problem to the incompressible Euler and Navie-Stokes equations on the d-dimensional torus.Our aim of this paper is two fold. Firstly, we construct a new initial data and present a simple proof of the ill-posedness of the Euler equations in different senses: (1) the solution map of the Euler equations starting from $u_0$ is discontinuous at $t = 0$ in $B^s_{p,\infty}$ with $s>0$ and $1\leq p \leq \infty$, which covers the result obtained by Cheskidov and Shv…

Flotilla: A scalable, modular and resilient federated learning framework for heterogeneous resources
Roopkatha Banerjee, Prince Modi, Jinal Vyas, Chunduru Sri Abhijit, Tejus Chandrashekar, Harsha Varun Marisetty, Manik Gupta, Yogesh Simmhan
https://arxiv.org/abs/2507.02295

Flotilla: A scalable, modular and resilient federated learning framework for heterogeneous resources
With the recent improvements in mobile and edge computing and rising concerns of data privacy, Federated Learning(FL) has rapidly gained popularity as a privacy-preserving, distributed machine learning methodology. Several FL frameworks have been built for testing novel FL strategies. However, most focus on validating the learning aspects of FL through pseudo-distributed simulation but not for deploying on real edge hardware in a distributed manner to meaningfully evaluate the federated aspects…

Integrating Emerging Technologies in Virtual Learning Environments: A Comparative Study of Perceived Needs among Open Universities in Five Southeast Asian Countries
Roberto Bacani Figueroa Jr, Mai Huong Nguyen, Aliza Ali, Lugsamee Nuamthanom Kimura, Marisa Marisa, Ami Hibatul Jameel, Luisa Almeda Gelisan
https://arxiv.org/abs/25…

Integrating Emerging Technologies in Virtual Learning Environments: A Comparative Study of Perceived Needs among Open Universities in Five Southeast Asian Countries
Amid the growing need to keep learners abreast of rapid technological advancements brought about by the Fourth Industrial Revolution, this study explores perceived needs of students in virtual learning environments supported by emerging technologies. A survey was conducted across five leading open universities in Southeast Asia. The study aimed to identify student preferences regarding features of their virtual learning environments that could better prepare them as productive citizens and prof…

Timing and spectral studies of SRGA J144459.2$-$604207 with NICER, Einstein Probe, IXPE, NuSTAR, Insight-HXMT and INTEGRAL during its 2024 outburst
Zhaosheng Li, Lucien Kuiper, Yuanyue Pan, Renxin Xu, Yong Chen, Mingyu Ge, Yue Huang, Shumei Jia, Xiaobo Li, Liming Song, Jinlu Qu, Shu Zhang, Lian Tao, Hua Feng, Shuang-Nan Zhang, Maurizio Falanga
https:…

Timing and spectral studies of SRGA J144459.2$-$604207 with NICER, Einstein Probe, IXPE, NuSTAR, Insight-HXMT and INTEGRAL during its 2024 outburst
SRGA J144459.2$-$604207 is a newly confirmed accreting millisecond X-ray pulsar and type I X-ray burster. We present the broadband X-ray timing and spectral behaviors of SRGA J144459.2$-$604207 during its 2024 outburst. The data were collected from NICER, Einstein Probe, IXPE, Insight-HXMT, NuSTAR and INTEGRAL observations. X-ray pulsations have been detected for the 1.5$-$90 keV energy range throughout the `ON' phase of the outburst from MJD $\sim 60355-60385$. We refined the orbital and spi…

Stability characterization of impulsive linear switched systems
Yacine Chitour (L2S), Jamal Daafouz (IUF, CRAN), Ihab Haidar (ENSEA, QUARTZ), Paolo Mason (L2S), Mario Sigalotti (LJLL)
https://arxiv.org/abs/2507.02434

Stability characterization of impulsive linear switched systems
This paper addresses a class of impulsive systems defined by a mix of continuous-time and discrete-time switched linear dynamics. We first analyze a related class of weighted discrete time switched systems for which we establish two main stability results: a converse Lyapunov theorem and a Berger-Wang-type formula. These results are used to characterize the exponential stability of the considered class of systems via spectral and Lyapunov-based approaches, extending existing results in hybrid a…

pyMEAL: A Multi-Encoder Augmentation-Aware Learning for Robust and Generalizable Medical Image Translation
Abdul-mojeed Olabisi Ilyas, Adeleke Maradesa, Jamal Banzi, Jianpan Huang, Henry K. F. Mak, Kannie W. Y. Chan
https://arxiv.org/abs/2505.24421

pyMEAL: A Multi-Encoder Augmentation-Aware Learning for Robust and Generalizable Medical Image Translation
Medical imaging is critical for diagnostics, but clinical adoption of advanced AI-driven imaging faces challenges due to patient variability, image artifacts, and limited model generalization. While deep learning has transformed image analysis, 3D medical imaging still suffers from data scarcity and inconsistencies due to acquisition protocols, scanner differences, and patient motion. Traditional augmentation uses a single pipeline for all transformations, disregarding the unique traits of each…

A New 5 bit/2D-symbol Modulation Format for Relative Intensity Noise-dominated IM-DD Systems
Felipe Villenas, Kaiquan Wu, Yunus Can G\"ultekin, Jamal Riani, Alex Alvarado
https://arxiv.org/abs/2506.01761

A New 5 bit/2D-symbol Modulation Format for Relative Intensity Noise-dominated IM-DD Systems
We propose a novel 5-bit/2D-symbol modulation format based on PAM-6 optimized for IM-DD systems dominated by relative intensity noise. The proposed modulation scheme improves SNR by 0.94 dB compared to conventional PAM-6 and achieves near-optimal BER performance.

@… So, as you might know from our interaction, I am also a web hobbyist, though I'm not up-to-speed in this decade—or maybe century. 🤔 I learn fast when I can understand a presentation. But I fumble madly to start. I just installed Joomla! 5.3.1 on one of my sites, languagearts.de, and it took me part of the weekend to get it up and part of another day …

Oriented bond-site percolation in random environment and contact processes with periodic recovery
Benedikt Jahnel, Lukas L\"uchtrath, Anh Duc Vu
https://arxiv.org/abs/2507.00329

Oriented bond-site percolation in random environment and contact processes with periodic recovery
We investigate oriented bond-site percolation on the planar lattice in which entire columns are stretched. Generalising recent results by Hilário et al., we establish non-trivial percolation under a $(1+\varepsilon)$-th moment condition on the stretches and use this to prove survival of contact processes with periodic recoveries as well as in random environments.

Stability criteria for hybrid linear systems with singular perturbations
Ihab Haidar (ENSEA, QUARTZ), Yacine Chitour (L2S), Jamal Daafouz (IUF, CRAN), Paolo Mason (L2S), Mario Sigalotti (LJLL)
https://arxiv.org/abs/2507.02446

Stability criteria for hybrid linear systems with singular perturbations
We study a class of singularly perturbed impulsive linear switched systems exhibiting switching between slow and fast dynamics. To analyze their behavior, we construct auxiliary switched systems evolving in a single time scale. The stability or instability of these auxiliary systems directly determines that of the original system in the regime of small singular perturbation parameters.