Trending Research
Solving N-player dynamic routing games with congestion: a mean field approach
The recent emergence of navigational tools has changed traffic patterns and has now enabled new types of congestion-aware routing control like dynamic road pricing.
Dynamical Systems Systems and Control Systems and Control Optimization and Control
Tensor network ranks
Among other things, we will see that a function, matrix, or tensor may have very high matrix, tensor, or multilinear rank and yet very low $G$-rank for some $G$.
Numerical Analysis 15A69, 41A30, 41A46, 41A65, 45L05, 65C60, 81P50, 81Q05
NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia
Efficiently solving nonlinear equations underpins numerous scientific and engineering disciplines, yet scaling these solutions for complex system models remains a challenge.
Numerical Analysis Numerical Analysis
$γ$-deepDSM for interface reconstruction: operator learning and a Learning-Automated FEM package
weihuayi/fealpy
•
•
In this work, we propose an Operator Learning (OpL) method for solving boundary value inverse problems in partial differential equations (PDEs), focusing on recovering diffusion coefficients from boundary data.
Numerical Analysis Numerical Analysis
Modalities in homotopy type theory
Univalent homotopy type theory (HoTT) may be seen as a language for the category of $\infty$-groupoids.
Category Theory Logic in Computer Science Logic F.3.1, F.4.1 F.3.1; F.4.1
Experience Implementing a Performant Category-Theory Library in Coq
We describe our experience implementing a broad category-theory library in Coq.
Category Theory Logic in Computer Science
An SPH formulation for general plate and shell structures with finite deformation and large rotation
To resolve the geometric non-linearity and capture finite deformation and large rotation, two reduced-dimensional linear-reproducing correction matrices are introduced, and weighted non-singularity conversions between the rotation angle and pseudo normal are formulated.
Numerical Analysis Computational Engineering, Finance, and Science Numerical Analysis
Multilevel domain decomposition-based architectures for physics-informed neural networks
Our numerical results show that the proposed multilevel FBPINNs consistently and significantly outperform PINNs across a range of problems with high frequency and multi-scale solutions.
Numerical Analysis Numerical Analysis
The Complex Gradient Operator and the CR-Calculus
A thorough discussion and development of the calculus of real-valued functions of complex-valued vectors is given using the framework of the Wirtinger Calculus.
Optimization and Control Complex Variables
Gromov-Wasserstein Distances between Gaussian Distributions
MaximeVandegar/Papers-in-100-Lines-of-Code
•
•
We also study the problem without restriction on the optimal plan, and provide lower and upper bounds for the value of the Gromov-Wasserstein distance between Gaussian distributions.
Probability
