Exploring the relationship between transformers and splines in AI.
― 5 min read
Mathematics - Numerical Analysis
RSSNew methods enhance data modeling through weighted pseudoinverses and efficient algorithms.
― 4 min read
A method for risk-neutral optimization in uncertain environments.
― 5 min read
Explore how DC-DC converters ensure stable power in electronic systems.
― 5 min read
Innovative techniques for simulating open quantum systems using the Lindblad equation.
― 6 min read
Combining Parareal and neural networks offers a quicker way to solve ODEs.
― 6 min read
A new approach to quantify risks in systems with uncertain parameters using Gaussian mixtures.
― 6 min read
An overview of how deep learning methods tackle differential equations.
― 6 min read
A new method to compute proximal operators without sorting data for optimization.
― 7 min read
Delay PDEs offer insights into systems affected by time lags across various fields.
― 6 min read
Exploring the relationship between logarithmic energy and polynomial eigenvalue phenomena.
― 5 min read
Neural networks enhance solutions for complex partial differential equations.
― 4 min read
A data-driven approach to solving linear inverse problems using trained operators.
― 4 min read
Learn how Gaussian processes address prediction uncertainty in machine learning.
― 5 min read
New regularization method improves heart electrical activity reconstructions from body surface measurements.
― 5 min read
Explore the role of eigenvalues in improving statistical analyses and model evaluations.
― 5 min read
Research improves understanding of water flow between surface and underground systems.
― 5 min read
Innovative techniques improve efficiency in studying hyperelastic materials and their applications.
― 5 min read
Understanding simulations is key to improving electric machines and transformers.
― 5 min read
Researching how to learn operators and handle errors effectively in function spaces.
― 6 min read
Analyzing the partitioning of a sphere into equal areas and its applications.
― 5 min read
PySLSQP simplifies nonlinear programming with real-time visualization and automatic derivatives.
― 5 min read
Using low-precision posits can improve efficiency and accuracy in calculations.
― 5 min read
A new method combines level-set and polytopic approaches for shape optimization.
― 5 min read
New methods improve computations for differential equations involving Lie groups in quantum dynamics.
― 4 min read
New method uses strain measurements for aerodynamic load estimation in hypersonic flight.
― 6 min read
Learn how decoupling simplifies solving complex evolution equations.
― 6 min read
This method improves sound wave simulation accuracy and efficiency through nodal conservation.
― 4 min read
A new method enhances brain tumor tracking using MRI and mathematical models.
― 5 min read
Exploring how tear film stability impacts dry eye disease.
― 5 min read
A novel approach to handle dynamic boundary conditions in wave equations.
― 6 min read
A new method enhances neural network performance for solving complex physics equations.
― 6 min read
New methods for solving stochastic control problems without derivatives using neural networks.
― 5 min read
Discover how Zolotarev rational functions manage values in different domains.
― 6 min read
Introducing an efficient method for studying electron behavior in low-temperature plasma.
― 5 min read
Investigating how hydrogen affects metal strength and ductility in various applications.
― 7 min read
New correction strategies enhance numerical methods for modeling complex physical systems.
― 5 min read
An approach to simulate randomness in biological processes using advanced mathematical methods.
― 4 min read
Real2Sim helps robotic arms learn effectively through realistic simulations.
― 6 min read
Combining domain decomposition and operator inference for faster simulations.
― 7 min read