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Fanzhi Lu

dblp:349/4540 · DBLP profile ↗
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1ranked-venue papers
0as first author
1since 2021 · last 2024
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Artificial intelligence and machine learning · 1 · 1 since 2021

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Interdisciplinary, comprehensive, and emerging computing
1 paper
Computational science and engineering · 100%
Computer architecture, parallel and distributed computing, and storage systems
1 paper
Performance modeling and evaluation · 100%

Topics — the 5 heaviest of 5, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Computational science and engineering
partial differential equation solver
0.812024
PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs · NeurIPS 2024
Computational science and engineering › scientific machine learning › physics-informed machine learning › physics-informed neural networks
partial differential equation solving
0.812024
PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs · NeurIPS 2024
Computational science and engineering › scientific machine learning › physics-informed machine learning
physics-informed neural networks
0.812024
PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs · NeurIPS 2024
Computational science and engineering
scientific machine learning
0.812024
PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs · NeurIPS 2024
Performance modeling and evaluation
benchmarking
0.812024
PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs · NeurIPS 2024

Methods — techniques the papers use, named apart from their topics

loss reweighting · 1.5domain decomposition · 1.5
YearPublicationVenuePosition
2024 PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs
abstract
While significant progress has been made on Physics-Informed Neural Networks (PINNs), a comprehensive comparison of these methods across a wide range of Partial Differential Equations (PDEs) is still lacking. This study introduces PINNacle, a benchmarking tool designed to fill this gap. PINNacle provides a diverse dataset, comprising over 20 distinct PDEs from various domains, including heat conduction, fluid dynamics, biology, and electromagnetics. These PDEs encapsulate key challenges inherent to real-world problems, such as complex geometry, multi-scale phenomena, nonlinearity, and high dimensionality. PINNacle also offers a user-friendly toolbox, incorporating about 10 state-of-the-art PINN methods for systematic evaluation and comparison. We have conducted extensive experiments with these methods, offering insights into their strengths and weaknesses. In addition to providing a standardized means of assessing performance, PINNacle also offers an in-depth analysis to guide future research, particularly in areas such as domain decomposition methods and loss reweighting for handling multi-scale problems and complex geometry. To the best of our knowledge, it is the largest benchmark with a diverse and comprehensive evaluation that will undoubtedly foster further research in PINNs.
Zhongkai Hao, Jiachen Yao, Hang Su 0006, Fanzhi Lu, Zeyu Xia 0003, Yichi Zhang 0012, Songming Liu, Jun Zhu 0001
NeurIPS6