Results 31 to 40 of about 326,138 (281)
Improving the Robustness of Model Compression by On-Manifold Adversarial Training
Despite the advance in deep learning technology, assuring the robustness of deep neural networks (DNNs) is challenging and necessary in safety-critical environments, including automobiles, IoT devices in smart factories, and medical devices, to name a ...
Junhyung Kwon, Sangkyun Lee
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CRITICAL EXPONENT OF NEGATIVELY CURVED THREE MANIFOLDS [PDF]
The main theorem: Let \(M\) be a topologically tame (i.e., homeomorphic to the interior of a compact manifold with boundary), negatively pinched 3-manifold with the fundamental group \(\Gamma\) purely loxodromic. Then all geometrically infinite ends of \(M\) are simply degenerate. The author also proves that if the limit set of \(\Gamma\) is the entire
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Generating functions in Symplectic Geometry
In this work, we present a brief introduction to Symplectic Geometry relating its origin with the Physics. Then we present the formal definition of symplectic manifold and some important results, with this we consider a function AH;N defined in the ...
Josué Alonso Aguirre Enciso +1 more
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Adolescence is a critical time for the continued maturation of brain networks. Here, we assessed structural connectome development in a large longitudinal sample ranging from childhood to young adulthood.
Bo-yong Park +8 more
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Critical Riemannian 4-manifolds
On a compact oriented Riemannian manifold a critical metric is a critical point in the space of metrics of the \(L^ 2\)-norm of the curvature tensor. In particular every Einstein metric on a compact 4-dimensional manifold is critical. The main result of the paper is a compactness theorem for critical metrics on a compact 4-dimensional manifold with a ...
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ABSTRACT Background Families of children with cancer experience significant financial strain, even with universal healthcare. Indirect costs, such as productivity losses and non‐medical expenses, are rarely included in economic evaluations, and little is known about how effectively financial aid programmes alleviate this burden. Childhood brain tumours
Megumi Lim +8 more
wiley +1 more source
Critical associated metrics on contact manifolds [PDF]
AbstractDefining a function on the set of all Riemannian metrics associated to a contact form on a compact manifold by taking the integral of the Ricci curvature in the direction of the characteristic vector field, it is shown that on a compact regular contact manifold the only critical points of this function are the metrics for which the ...
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
wiley +1 more source
Uniform approximation of continuous functions by smooth functions with no critical points on Hilbert manifolds [PDF]
We prove that every continuous function on a separable infinite-dimensional Hilbert space X can be uniformly approximated by smooth functions with no critical points. This kind of result can be regarded as a sort of very strong approximate version of the
Azagra, Daniel, Boiso, Manuel Cepedello
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