479 research outputs found
Almost sure global well posedness of the defocusing energy-critical wave equation with a Cubic Convolution
We consider the defocusing energy-critical wave equation with a cubic
convolution nonlinearity in
spatial dimension and establish almost sure global existence for
randomized initial data in for .
The nonlocal nonlinearity term brings challenges in controlling the energy,
which is a fundamental property to show global well-posedness. We are inspired
to consider this problem by the work of Oh-Pocovnicu \cite{Oh-Pocovnicu-1}, but
unlike the proof in \cite{Oh-Pocovnicu-1}, the novelty of our article lies in
fully leveraging the potential energy
Robust single-particle cryo-EM image denoising and restoration
Cryo-electron microscopy (cryo-EM) has achieved near-atomic level resolution
of biomolecules by reconstructing 2D micrographs. However, the resolution and
accuracy of the reconstructed particles are significantly reduced due to the
extremely low signal-to-noise ratio (SNR) and complex noise structure of
cryo-EM images. In this paper, we introduce a diffusion model with
post-processing framework to effectively denoise and restore single particle
cryo-EM images. Our method outperforms the state-of-the-art (SOTA) denoising
methods by effectively removing structural noise that has not been addressed
before. Additionally, more accurate and high-resolution three-dimensional
reconstruction structures can be obtained from denoised cryo-EM images.Comment: This paper is accepted to ICASSP 202
Fractional Leibniz rule on the torus
We discuss the fractional Leibniz rule for periodic functions on the
-dimensional torus, including the endpoint cases.Comment: 10 page
The Development and Validation of an EFL Learner Attitude Scale for Phonetic Symbol Learning in A Chinese University Context
Research has established that learner attitude significantly impacts the outcomes of learning English as a foreign language (EFL). However, previous studies have rarely considered a validated attitude scale for English phonetic symbol learning (EPSL). This study aims to develop and validate a scale to measure students\u27 attitudes toward EPSL by integrating findings from learning attitude research in education and psychology. The results demonstrate that the attitude scale can predict attitudes towards EPSL in the context of a Chinese university and has good reliability and validity (KMO=0.892, α=0.749). Pedagogical suggestions are made to help students develop a more positive attitude toward EPSL
- …