Results 111 to 120 of about 181,310 (279)

Density estimation on the rotation group using diffusive wavelets

, 2015
This paper considers the problem of estimating probability density functions on the rotation group $SO(3)$. Two distinct approaches are proposed, one based on characteristic functions and the other on wavelets using the heat kernel.
Bihan, Nicolas Le, Flamant, Julien, Manton, Jonathan H.   +2 more
core  

The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces

Advances in Nonlinear Analysis
In this article, we consider the bounded variation capacity (BV capacity) and characterize the Sobolev-type inequalities related to BV functions in a general framework of strictly local Dirichlet spaces with a doubling measure via the BV capacity.
Xie Xiangyun, Liu Yu, Li Pengtao, Huang Jizheng   +3 more
doaj   +1 more source

Integrated Single‐Cell and Spatial Transcriptomics Reveal Cell‐Type‐Specific Immune Regulatory Networks in Maize Responding to Southern Corn Rust

Advanced Science, EarlyView.
By integrating single‐nuclei and spatial transcriptomics, this study presents a stereoscopic landscape of maize leaf to Puccinia polysora infection. Epidermal and mesophyll cells initiate primary defenses via RLPs/RLKs and jasmonic acid signaling. Cell‐cell communication analyses further reveal the underlying the dynamics of the underlying immune ...
Qiongqiong Wang, Xinyan Sun, Yingchao Sun, Zeqiang Cheng, Zixiang Cheng, Shengbo Han, Ying Feng, Wenbo Yang, Huimin Li, Meichen Zhu, Xiaoling Wu, Jinghua Zhang, Jihua Tang, Honglian Li, Yanyong Cao, Canxing Duan, Yan Shi   +16 more
wiley   +1 more source

Climate Change Threatens Micronutrient Density of European Winter Wheat

Advanced 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, Jennifer Michel, Eline Lorer, Markus Weinmann, Jacques Le Gouis, Claire Léon, Sibille Perrochon, David Alvarez, Vincent Leemans, Iñaki Balanzategui Guijarro, Jordi Moya Laraño, Sara Sánchez Moreno, Symanczik Sarah, Waibel Matthias, Hervé Vanderschuren, Cécile Thonar, Pierre Delaplace, Dominique Van Der Straeten   +17 more
wiley   +1 more source

Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain

Advanced Science, EarlyView.
A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio, Tommaso Gili, Andrea Gabrielli, Maurizio Mattia   +3 more
wiley   +1 more source

Fast Polynomial Approximation of Heat Kernel Convolution on Manifolds and Its Application to Brain Sulcal and Gyral Graph Pattern Analysis. [PDF]

IEEE Trans Med Imaging, 2020
Huang SG, Lyu I, Qiu A, Chung MK.
europepmc   +1 more source

Neumann Heat kernel monotonicity

, 2007
We prove that the diagonal of the transition probabilities for the d-dimensional Bessel processes on (0, 1], reflected at 1, which we denote by $p_R^N(t, r,r)$, is an increasing function of r for d>2 and that this is false for d=2.
Bañuelos, R., Kulczycki, T., Siudeja, B.   +2 more
openaire   +2 more sources

SpatialESD: Spatial Ensemble Domain Detection in Spatial Transcriptomics

Advanced Science, EarlyView.
ABSTRACT Spatial transcriptomics (ST) measures gene expression while preserving spatial context within tissues. One of the key tasks in ST analysis is spatial domain detection, which remains challenging due to the complex structure of ST data and the varying performance of individual clustering methods. To address this, we propose SpatialESD, a Spatial
Hongyan Cao, Gaiqin Liu, Jingyi Xia, Runle Chen, Tong Wang, Xiaoling Yang, Ruiling Fang, Yanhong Luo, Ping Zeng, Hongmei Yu, Yanbo Zhang, Yuehua Cui   +11 more
wiley   +1 more source

Numerical Solutions to Fractional Perturbed Volterra Equations

Abstract and Applied Analysis, 2012
In the paper, a class of perturbed Volterra equations of convolution type with three kernel functions is considered. The kernel functions , , , correspond to the class of equations interpolating heat and wave equations.
B. Bandrowski, A. Karczewska, P. Rozmej
doaj   +1 more source

Subordinated Bessel heat kernels

Theory of Probability and Mathematical Statistics
We prove new bounds for Bessel heat kernels and Bessel heat kernels subordinated by stable subordinators. In particular, we provide 3G inequalities in the subordinated case.
Bogdan, Krzysztof, Merz, Konstantin
openaire   +3 more sources