Results 141 to 150 of about 416,500 (289)

When Dimensionality Reduction Meets Graph (Drawing) Theory: Introducing a Common Framework, Challenges and Opportunities

Computer Graphics Forum, Volume 44, Issue 3, June 2025.
Abstract In the vast landscape of visualization research, Dimensionality Reduction (DR) and graph analysis are two popular subfields, often essential to most visual data analytics setups. DR aims to create representations to support neighborhood and similarity analysis on complex, large datasets.
F. V. Paulovich, A. Arleo, S. van den Elzen   +2 more
wiley   +1 more source

Spectral Asymptotics for Fractional Laplacians [PDF]

, 2019
In this article we consider fractional Laplacians which seem to be of interest to probability theory. This is a rather new class of operators for us but our methods works (with a twist, as usual). Our main goal is to derive a two-term asymptotics as one-term asymptotics is easily obtained by R.~Seeley's method.
openaire   +3 more sources

Fast HARDI Uncertainty Quantification and Visualization with Spherical Sampling

Computer Graphics Forum, Volume 44, Issue 3, June 2025.
Abstract In this paper, we study uncertainty quantification and visualization of orientation distribution functions (ODF), which corresponds to the diffusion profile of high angular resolution diffusion imaging (HARDI) data. The shape inclusion probability (SIP) function is the state‐of‐the‐art method for capturing the uncertainty of ODF ensembles. The
Tark Patel, Tushar M. Athawale, Timbwaoga A. J. Ouermi, Chris R. Johnson   +3 more
wiley   +1 more source

Existence and regularity for integro‐differential free transmission problem

Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 1923-1937, July 2025.
Abstract We study an integro‐differential free transmission problem associated with the Bellman–Isaacs‐type operator that is solution‐dependent. The existence of a viscosity solution is proved by constructing solutions of suitable auxiliary problems for such a nonlocal problem.
Sun‐Sig Byun, Seunghyun Kim
wiley   +1 more source

Nonexistence results for ultra-parabolic equations and systems involving fractional Laplacian operator in Heisenberg group. [PDF]

Heliyon, 2022
Tsegaw BB.
europepmc   +1 more source

An integrated platform for 2‐D and 3‐D optical and electrical mapping of arrhythmias in Langendorff‐perfused rabbit hearts

The Journal of Physiology, EarlyView.
Abstract figure legend Integrated multimodal platform for panoramic cardiac mapping in isolated heart experiments. On the left, an image of the experimental setup during data acquisition showing a Langendorff‐perfused rabbit heart surrounded by three optical cameras (CAM A, B and C) positioned 120° apart, each coupled with high‐power LEDs for panoramic
Jimena Siles, Vinícius Silva, Tainan Neves, Italo Sandoval, Angélica Quadros, Giovanni Weber, Óscar Barquero, Ilija Uzelac, João Salinet   +8 more
wiley   +1 more source

Fractional centered difference scheme for high-dimensional integral fractional Laplacian

Journal of Computational Physics, 2021
Zhaopeng Hao, Zhongqiang Zhang, R. Du
semanticscholar   +1 more source

Optimal partition problems for the fractional Laplacian [PDF]

Annali di Matematica Pura ed Applicata (1923 -), 2017
In this work, we prove an existence result for an optimal partition problem of the form $$\min \{F_s(A_1,\dots,A_m)\colon A_i \in \mathcal{A}_s, \, A_i\cap A_j =\emptyset \mbox{ for } i\neq j\},$$ where $F_s$ is a cost functional with suitable assumptions of monotonicity and lowersemicontinuity, $\mathcal{A}_s$ is the class of admissible domains and ...
openaire   +6 more sources

Cell lineage tracing: Methods, applications, and challenges

Quantitative Biology, Volume 13, Issue 4, December 2025.
Abstract Cell lineage tracing is a crucial technique for understanding cell fate and lineage relationships, with wide applications in developmental biology, tissue regeneration, and disease progression studies. Over the years, experimental cell lineage tracing methods have advanced from early labeling techniques to modern genetic tools such as CRISPR ...
Shanjun Mao, Chenyang Zhang, Runjiu Chen, Shan Tang, Xiaodan Fan, Jie Hu   +5 more
wiley   +1 more source

What Is the Fractional Laplacian?

, 2018
The fractional Laplacian in R^d has multiple equivalent characterizations. Moreover, in bounded domains, boundary conditions must be incorporated in these characterizations in mathematically distinct ways, and there is currently no consensus in the literature as to which definition of the fractional Laplacian in bounded domains is most appropriate for ...
Lischke, Anna, Pang, Guofei, Gulian, Mamikon, Song, Fangying, Glusa, Christian, Zheng, Xiaoning, Mao, Zhiping, Cai, Wei, Meerschaert, Mark M., Ainsworth, Mark, Karniadakis, George Em   +10 more
openaire   +2 more sources