Samuel Lanthaler
Scholar

Samuel Lanthaler

Google Scholar ID: v-Jv3LoAAAAJ
University of Vienna
fluid dynamicsnumerical analysispartial differential equationsBayesian data assimilationdeep
Citations & Impact
All-time
Citations
1,589
 
H-index
16
 
i10-index
19
 
Publications
20
 
Co-authors
11
list available
Resume (English only)
Academic Achievements
  • Publications:
  • - Theory-to-Practice Gap for Neural Networks and Neural Operators
  • - Generative AI for fast and accurate statistical computation of fluids
  • - Operator Learning of Lipschitz Operators: An Information-Theoretic Perspective
  • - Data-Complexity Estimates for Operator Learning
  • - Discretization Error of Fourier Neural Operators
  • - Sharp conditions for energy balance for the two-dimensional incompressible Euler equations with external force
  • - Operator Learning: Algorithms and Analysis
  • Conference Presentations: SIAM UQ24, Trieste, Italy, Topic: Operator Learning in Uncertainty Quantification
Research Experience
  • Position: Assistant Professor (Mathematics of Data Science); Institution: University of Vienna; Previously a postdoctoral researcher and visiting scholar at Caltech, hosted by Andrew Stuart
Education
  • PhD in Mathematics; University: Not explicitly mentioned, but supervised by Siddhartha Mishra; Time: Not explicitly mentioned
Background
  • Research Interests: Theoretical underpinnings and algorithmic innovation in deep learning for scientific computing; Professional Field: Mathematics of Data Science; Summary: Aims to understand how novel deep learning approaches can effectively complement traditional numerical methods, and to develop new methodologies that enhance the scalability and modeling accuracy of current methods.
Miscellany
  • Personal interests and hobbies are not provided