Results 91 to 100 of about 32,857 (304)

Constrained Heat Kernel Graph Diffusion Convolution: A High-Dimensional Statistical Approximation via Information Theory

open access: yesIEEE Access
Graph neural networks have been widely applied in various domains, handling numerous entities with high-dimensional features. Their success largely stems from the powerful information propagation process. Among these networks, diffusion-based approaches,
Zhuo-Chen He
doaj   +1 more source

Pseudo-differential operators, heat calculus and index theory of groupoids satisfying the Lauter-Nistor condition [PDF]

open access: yes
In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the Lauter-Nistor condition, by a method parallel to that of manifolds with boundary and edge differential operators.
So, Bing Kwan
core  

Gaussian lower bounds on the Dirichlet heat kernel and non-existence of local solutions for semilinear heat equations of Osgood type [PDF]

open access: yes, 2013
We give a simple proof of a lower bound for the Dirichlet heat kernel in terms of the Gaussian heat kernel. Using this we establish a non-existence result for semilinear heat equations with zero Dirichlet boundary conditionsand initial data in $L^q ...
Sierzega, Mikolaj   +2 more
core  

TacScope: A Miniaturized Vision‐Based Tactile Sensor for Surgical Applications

open access: yesAdvanced Robotics Research, EarlyView.
TacScope is a compact, vision‐based tactile sensor designed for robot‐assisted surgery. By leveraging a curved elastomer surface with pressure‐sensitive particle redistribution, it captures high‐resolution 3D tactile feedback. TacScope enables accurate tumor detection and shape classification beneath soft tissue phantoms, offering a scalable, low‐cost ...
Md Rakibul Islam Prince   +3 more
wiley   +1 more source

Heat kernel methods for Lifshitz theories

open access: yesJournal of High Energy Physics, 2017
We study the one-loop covariant effective action of Lifshitz theories using the heat kernel technique. The characteristic feature of Lifshitz theories is an anisotropic scaling between space and time.
Andrei O. Barvinsky   +5 more
doaj   +1 more source

Climate Change Threatens Micronutrient Density of European Winter Wheat

open access: yesAdvanced Science, EarlyView.
Micronutrients are vital for human health. Wheat is a major staple crop and a significant source of minerals and B‐vitamins. The impact of climate change on their content remains largely unknown. We evaluated micronutrient levels in European winter wheat grown under historical and projected climate conditions. Our findings indicate that future climates
Da Cao   +17 more
wiley   +1 more source

On the heat kernel of the Rumin complex and Calderón reproducing formula

open access: yesAnalysis and Geometry in Metric Spaces
We derive several properties of the heat equation with the Hodge operator associated with the Rumin’s complex on Heisenberg groups and prove several properties of the fundamental solution.
Ciatti Paolo   +2 more
doaj   +1 more source

Liouville heat kernel: regularity and bounds

open access: yes, 2016
International audienceWe initiate in this paper the study of analytic properties of the Liouville heat kernel. In particular, we establish regularity estimates on the heat kernel and derive non trivial lower and upper ...
Rhodes, Rémi   +3 more
core   +1 more source

A Bioinspired Three‐Dimensional High‐Curvature Nano‐Interface Integrated Microfluidic Chip for Small Extracellular Vesicles Enrichment and Machine Learning‐Assisted Prostate Cancer Precision Diagnosis

open access: yesAdvanced Science, EarlyView.
A biotin‐modified artificial insertion peptide functionalized three‐dimensional high‐curvature‐TiO2 nano‐interface was engineered in a microfluidic chip to improve the isolation efficiency of small extracellular vesicles (sEVs). This chip balanced affinity, releasability, and extendibility, enabling high‐throughput recovery of sEVs for downstream ...
Le Wang   +7 more
wiley   +1 more source

Heat-Semigroup-Based Besov Capacity on Dirichlet Spaces and Its Applications

open access: yesMathematics
In this paper, we investigate the Besov space and the Besov capacity and obtain several important capacitary inequalities in a strictly local Dirichlet space, which satisfies the doubling condition and the weak Bakry–Émery condition.
Xiangyun Xie, Haihui Wang, Yu Liu
doaj   +1 more source

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