Results 31 to 40 of about 944,650 (244)

Weight metamorphosis of varifolds and the LDDMM-Fisher-Rao metric

Calculus of Variations and Partial Differential Equations, 2022
This paper introduces and studies a metamorphosis framework for geometric measures known as varifolds, which extends the diffeomorphic registration model for objects such as curves, surfaces and measures by complementing diffeomorphic deformations with a transformation process on the varifold weights.
Hsi-Wei Hsieh, Nicolas Charon
openaire   +3 more sources

DEMARCATE: Density-based magnetic resonance image clustering for assessing tumor heterogeneity in cancer

NeuroImage: Clinical, 2016
Tumor heterogeneity is a crucial area of cancer research wherein inter- and intra-tumor differences are investigated to assess and monitor disease development and progression, especially in cancer. The proliferation of imaging and linked genomic data has
Abhijoy Saha, Sayantan Banerjee, Sebastian Kurtek, Shivali Narang, Joonsang Lee, Ganesh Rao, Juan Martinez, Karthik Bharath, Arvind U.K. Rao, Veerabhadran Baladandayuthapani   +9 more
doaj   +1 more source

Fisher-Rao Metric, Geometry, and Complexity of Neural Networks

CoRR, 2017
We study the relationship between geometry and capacity measures for deep neural networks from an invariance viewpoint. We introduce a new notion of capacity --- the Fisher-Rao norm --- that possesses desirable invariance properties and is motivated by Information Geometry. We discover an analytical characterization of the new capacity measure, through
Liang, T, Poggio, T, Rakhlin, A, Stokes, J   +3 more
openaire   +4 more sources

Geometry of the Fisher–Rao metric on the space of smooth densities on a compact manifold [PDF]

Mathematische Nachrichten, 2018
AbstractIt is known that on a closed manifold of dimension greater than one, every smooth weak Riemannian metric on the space of smooth positive densities that is invariant under the action of the diffeomorphism group, is of the form urn:x-wiley:0025584X:media:mana201600523:mana201600523-math-0001for some smooth functions of the total volume . Here we
Martins Bruveris, Peter W. Michor
openaire   +4 more sources

A JKO SPLITTING SCHEME FOR KANTOROVICH-FISHER-RAO GRADIENT FLOWS

, 2017
International audienceIn this article we set up a splitting variant of the JKO scheme in order to handle gradient flows with respect to the Kantorovich-Fisher-Rao metric , recently introduced and defined on the space of positive Radon measure with ...
Monsaingeon, Leonard, Gallouët, Thomas
core   +5 more sources

Intrinsic Losses Based on Information Geometry and Their Applications

Entropy, 2017
One main interest of information geometry is to study the properties of statistical models that do not depend on the coordinate systems or model parametrization; thus, it may serve as an analytic tool for intrinsic inference in statistics. In this paper,
Yao Rong, Mengjiao Tang, Jie Zhou
doaj   +1 more source

Methods of computational topology and discrete Riemannian geometry for the analysis of arid territories

Cogent Engineering, 2020
The purpose of this article is the development and application of discrete differential geometry methods for digital image analysis within the framework of Topological Data Analysis (TDA). The proposed approach consists of two stages.
Lyailya Karimova, Alexey Terekhov, Nikolai Makarenko, Andrey Rybintsev   +3 more
doaj   +1 more source

Active Phase of Nickel Electrocatalysts Driving Alkaline Hydrogen Evolution

Advanced Materials, EarlyView.
Using depth‐resolved and operando spectroscopic measurements coupled with electrochemical mass spectrometry, the authors uncover the critical role of sub‐surface oxidised species in increasing the activity and durability of Ni‐based cathodes for hydrogen evolution.
Yifeng Wang, Eleanor Ender, Santosh Kumar, Cindy Tseng, Guangmeimei Yang, Boxi Ye, Caiwu Liang, Youli Yu, Norton West, Inderjeet Chauhan, Jun H. Ng, Sid Halder, Sang Gu Ji, Georg Held, Mary P. Ryan, Katie L. Moore, Alex S. Walton, Reshma R. Rao   +17 more
wiley   +1 more source

Mr BMT Achieves Systemic Macrophage Replacement With Preservation of Tissue Homeostasis

Advanced Science, EarlyView.
Microglia replacement by bone marrow transplantation (Mr BMT) enables systemic replacement of tissue‐resident macrophages. Despite persistent macrophage and tissue remodeling across multiple organs, core biological functions and innate immune responses remain preserved, supporting long‐term maintenance of organismal homeostasis and the therapeutic ...
Yufei Xu, Miaozhan Zou, Yunshang Bai, Yang He, Zhihao Jin, Baozhi Yang, Jinjin Du, Pei Ouyang, Yuanyuan Cai, Yuheng Zhang, Bingying Du, Chengcheng Ge, Jian‐an Gong, Xiaoyu Li, Yuanyi Zheng, Jing Ding, Bo Peng, Yanxia Rao   +17 more
wiley   +1 more source

Channel-Aware Adaptive Quantization Method for Source Localization in Wireless Sensor Networks

International Journal of Distributed Sensor Networks, 2015
This paper considers the problem of source localization using quantized observations in wireless sensor networks where, due to bandwidth constraint, each sensor's observation is usually quantized into one bit of information.
Guiyun Liu, Jing Yao, Yonggui Liu, Hongbin Chen, Dong Tang   +4 more
doaj   +1 more source