504 research outputs found
Localization for general Helmholtz
In \cite{gmw2022}, Guan, Murugan and Wei established the equivalence of the
classical Helmholtz equation with a ``fractional Helmholtz" equation in which
the Laplacian operator is replaced by the nonlocal fractional Laplacian
operator. More general equivalence results are obtained for symbols which are
complete Bernstein and satisfy additional regularity conditions. In this work
we introduce a novel and general set-up for this Helmholtz equivalence problem.
We show that under very mild and easy-to-check conditions on the Fourier
multiplier, the general Helmholtz equation can be effectively reduced to a
localization statement on the support of the symbol.Comment: 10 page
EAST: An Efficient and Accurate Scene Text Detector
Previous approaches for scene text detection have already achieved promising
performances across various benchmarks. However, they usually fall short when
dealing with challenging scenarios, even when equipped with deep neural network
models, because the overall performance is determined by the interplay of
multiple stages and components in the pipelines. In this work, we propose a
simple yet powerful pipeline that yields fast and accurate text detection in
natural scenes. The pipeline directly predicts words or text lines of arbitrary
orientations and quadrilateral shapes in full images, eliminating unnecessary
intermediate steps (e.g., candidate aggregation and word partitioning), with a
single neural network. The simplicity of our pipeline allows concentrating
efforts on designing loss functions and neural network architecture.
Experiments on standard datasets including ICDAR 2015, COCO-Text and MSRA-TD500
demonstrate that the proposed algorithm significantly outperforms
state-of-the-art methods in terms of both accuracy and efficiency. On the ICDAR
2015 dataset, the proposed algorithm achieves an F-score of 0.7820 at 13.2fps
at 720p resolution.Comment: Accepted to CVPR 2017, fix equation (3
EGFR and EGFRvIII undergo stress- and EGFR kinase inhibitor-induced mitochondrial translocalization: A potential mechanism of EGFR-driven antagonism of apoptosis
<p>Abstract</p> <p>Background</p> <p>Epidermal growth factor receptor (EGFR) plays an essential role in normal development, tumorigenesis and malignant biology of human cancers, and is known to undergo intracellular trafficking to subcellular organelles. Although several studies have shown that EGFR translocates into the mitochondria in cancer cells, it remains unclear whether mitochondrially localized EGFR has an impact on the cells and whether EGFRvIII, a constitutively activated variant of EGFR, undergoes mitochondrial transport similar to EGFR.</p> <p>Results</p> <p>We report that both receptors translocate into the mitochondria of human glioblastoma and breast cancer cells, following treatments with the apoptosis inducers, staurosporine and anisomycin, and with an EGFR kinase inhibitor. Using mutant EGFR/EGFRvIII receptors engineered to undergo enriched intracellular trafficking into the mitochondria, we showed that glioblastoma cells expressing the mitochondrially enriched EGFRvIII were more resistant to staurosporine- and anisomycin-induced growth suppression and apoptosis and were highly resistant to EGFR kinase inhibitor-mediated growth inhibition.</p> <p>Conclusions</p> <p>These findings indicate that apoptosis inducers and EGFR-targeted inhibitors enhance mitochondrial translocalization of both EGFR and EGFRvIII and that mitochondrial accumulation of these receptors contributes to tumor drug resistance. The findings also provide evidence for a potential link between the mitochondrial EGFR pathway and apoptosis.</p
Analysis of Molecule Harvesting by Heterogeneous Receptors on MC Transmitters
This paper designs a molecule harvesting transmitter (TX) model, where the
surface of a spherical TX is covered by heterogeneous receptors with different
sizes and arbitrary locations. If molecules hit any receptor, they are absorbed
by the TX immediately. Within the TX, molecules are stored in vesicles that are
continuously generated and released by the TX via the membrane fusion process.
Considering a transparent receiver (RX) and molecular degradation during the
propagation from the TX to the RX, we derive the molecule release rate and the
fraction of molecules absorbed by the TX as well as the received signal at the
RX. Notably, this analytical result is applicable for different numbers, sizes,
and locations of receptors, and its accuracy is verified via particle-based
simulations. Numerical results show that different vesicle generation rates
result in the same number of molecules absorbed by the TX, but different peak
received signals at the RX.Comment: 7 pages, 4 figures. This work has been accepted by IEEE GLOBECOM
2023. Copyright may be transferred without notice, after which this version
may no longer be accessibl
Deformable 3D Gaussians for High-Fidelity Monocular Dynamic Scene Reconstruction
Implicit neural representation has opened up new avenues for dynamic scene
reconstruction and rendering. Nonetheless, state-of-the-art methods of dynamic
neural rendering rely heavily on these implicit representations, which
frequently struggle with accurately capturing the intricate details of objects
in the scene. Furthermore, implicit methods struggle to achieve real-time
rendering in general dynamic scenes, limiting their use in a wide range of
tasks. To address the issues, we propose a deformable 3D Gaussians Splatting
method that reconstructs scenes using explicit 3D Gaussians and learns
Gaussians in canonical space with a deformation field to model monocular
dynamic scenes. We also introduced a smoothing training mechanism with no extra
overhead to mitigate the impact of inaccurate poses in real datasets on the
smoothness of time interpolation tasks. Through differential gaussian
rasterization, the deformable 3D Gaussians not only achieve higher rendering
quality but also real-time rendering speed. Experiments show that our method
outperforms existing methods significantly in terms of both rendering quality
and speed, making it well-suited for tasks such as novel-view synthesis, time
synthesis, and real-time rendering
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